A plumber has a very long piece of pipe that is used to run city water parallel to a major roadway. The pipe is cut into two sections. One section of pipe is 12 ft. shorter than the other. If 3 of the length of the shorter pipe is 120 ft., how long is the longer piece of the pipe?

Answers

Answer 1

If a plumber has a very long piece of pipe that is used to run city water parallel to a major roadway. The length of the  longer piece of the pipe is: 172 ft.

How to find the length?

Let x represent the longer piece

Let  x - 12   represent the shorter piece

So,

(3)(x - 12)  = 120  

Multiply both sides by 4/3

x - 12  = 120 (4/3)

x - 12  = 160      

Add 12 to both sides

x = 172 ft (longer piece)

Therefore the length of the longer piece is 172 ft.

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The correct question is:

A plumber has a very long piece of pipe that is used to run city water parallel to a major roadway. The pipe is cut into two sections. One section of the pipe is 12 ft. shorter than the other. If 3/4 of the length of the shorter pipe is 120 ft., how long is the longer piece of the pipe?


Related Questions

the twenty-third term in an arithmetic sequence is $\frac23$ and the fifty-third term in the sequence is $\frac32$. what is the thirty-fifth term?

Answers

The thirty-fifth term in an arithmetic sequence is 1.

The formula for the nth term of an arithmetic sequence is:  

[tex]t_{n}[/tex]  =  a + (n - 1)d

The twenty-third term in an arithmetic sequence is [tex]$\frac{2}{3}[/tex].

a + 22d = [tex]$\frac{2}{3}[/tex] ...... (1)

The fifty-third term in an arithmetic sequence is  [tex]$\frac{3}{2}[/tex].

a + 52d = [tex]$\frac{3}{2}[/tex]........(2)

Subtracting both the equations.

Subtract equation (1) from equation (2):

a + 52d - (a + 22d) = [tex]$\frac{3}{2} - \frac{2}{3}[/tex]

a + 52d - a - 22d = [tex]$\frac{9-4}{6}[/tex]

30d = [tex]$\frac{5}{6}[/tex]

d = [tex]$\frac{1}{36}[/tex]

Substitute the value of d in equation (1).

We get:

a + 22[tex]$(\frac{1}{36})[/tex] = [tex]$\frac{2}{3}[/tex]

a + [tex]$\frac{11}{18}[/tex] = [tex]$\frac{2}{3}[/tex]

a = [tex]$\frac{2}{3}[/tex] - [tex]$\frac{11}{18}[/tex]

a = [tex]$\frac{12}{18} - \frac{11}{18}[/tex]

a = [tex]$\frac{1}{18}[/tex]

To find the 35th term substitute the values of a and d in the nth term equation.

The thirty-fifth term in an arithmetic sequence is:

=  [tex]$\frac{1}{18}[/tex] + (35 - 1) [tex]$\frac{1}{36}[/tex]

=  [tex]$\frac{1}{18}[/tex] +  [tex]$\frac{34}{36}[/tex]

=  [tex]$\frac{1}{18}[/tex] +  [tex]$\frac{17}{18}[/tex]

= [tex]$\frac{18}{18}[/tex]

= 1

Therefore the thirty-fifth term is 1.

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How many ounces are in ten and half pounds?​

Answers

Answer:

10 1/2 lbs = 168 oz

Answer:

168

Step-by-step explanation:

i think

Part B

Here’s a different way to partition the same function. Write a description of the partitioned function using known function types. Include function transformations in your description

Answers

With a negative leading coefficient, quadratic polynomials, and the horizontal offset for a scaled 1/x function.

Section 1's wiggles might be attributed to a variety of distinct purposes. A fourth-degree polynomial is maybe the simplest. It would have to have a negative leading coefficient in order to have downward-trending end behavior.

The curve in section 2 appears to represent either an exponential function or a scaled and translated version of 1/x. We prefer a version of 1/x because the latter is anticipated to approach the horizontal asymptote more quickly than is depicted above.

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Maria orders 8 pizzas for 24 people coming to her party.
a) How many people can be fed

b) How many pizzas would she need if 33 people come to the party.

Answers

Using the arithmetic operation of division -

a) 3 people can be fed by 1 pizza.

b) Maria would need 11 pizzas for 33 people.

What is arithmetic operation?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

The number of pizzas ordered = 8

The number of people are = 24.

Number of people that can be fed if 1 pizza was there =

Number of people = Number of people that came/ Number of pizza

Use the arithmetic operation of division -

Number of people = 24/8

Number of people = 3

Therefore, 3 people can be fed.

Now, the number of people = 33

Number of pizzas required for 33 people can be obtained as -

Use the arithmetic operation of division -

Number of pizzas = Number of people/ Number of people fed by 1 pizza

Number of pizzas = 33/3

Number of pizzas = 11

Therefore, Maria will require 11 pizzas.

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A batch of bread requires 3 cups of flour. How many batches can you make with 2 cups of flour?

Answers

Answer:

Step-by-step explanation:

To find out how many batches of bread you can make with 2 cups of flour, you need to divide the amount of flour you have by the amount of flour each batch requires.We know that a batch of bread requires 3 cups of flour. To find out how many batches you can make with 2 cups of flour, you can divide 2 by 3:2 / 3 = 0.67Therefore, you can make 0.67 batches of bread with 2 cups of flour. However, since you can't bake a fraction of a batch, you can't make any batches of bread with 2 cups of flour, as it is not enough. You will need at least 3 cups of flour to make a batch of bread.

SOMEONE PLS HELP TYSM

Answers

The median of the given set of numbers is 82.

What is Median?

Median is the middle element when the data set is arranged in an increasing or decreasing order.

Given is a stem and leaf plot.

We have to write each of the corresponding number in stem attached with each of the corresponding number in leaf plot.

So the numbers in the first row will be 71, 75, 77 and 78.

Numbers in the second row will be 80, 80, 81, 82, 84, 85, 86, 86, 87, 89.

Number in the third row will be 95.

Writing the numbers from the plot, we will get the values as,

71, 75, 77, 78, 80, 80, 81, 82, 84, 85, 86, 86, 87, 89, 95.

The numbers are already in the increasing order.

There are 15 number of data in the set.

Median is the middle element, that is 8th element, which is 82.

Hence the median of the data is 82.

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The highschool student council has decided to have a dance-a-thon and needs to hire a disk jockey for the event. Council members have investigated 3 companies. Gabe's Mobile Music charges $60 per hour. Derek's DJ Service charges $100 plus $40 per hour. Solid Sounds charges $175 plus $30 per hour. Which company should they choose? Why?

Answers

Answer:

Solid Sounds

Step-by-step explanation:

As a test, let's say the dance-a-thon lasted 10 hours.  Plug in 10 hours to each:

Gabe's:  $60/hr x 10 hr = $600

Derek's:  $100 + ($40/hr x 10 hr) = $500

Solid Sounds:  $175 + ($30/hr x 10 hr) = $475

This shows that Solid Sounds is the cheapest (no matter how many hours the dance lasts)

7) Graph the systems of linear equations on your calculator ​

Answers

Second awnser. I graphed it on my TI-84.

PLEASE HURRY,TEST QUESTION,LIMITED TIME!

Question- Write the standard form equation of the circle given the center of (-1,0) and the circumference of 8π. Show all work using the equation editor to calculate the missing pieces of the equation.

Answers

Answer: (x+1)^2 + (y-0)^2 = 8pi^2

Step-by-step explanation:

Nick and Lauren hiked 3. 75 kilometers to a lake 45° east of south from their campsite. Then they hiked 30° west of north to the nature center 6. 5 kilometers from the lake. How many kilometers are they away from their campsite? Round to the nearest tenth

Answers

Answer:

Step-by-step explanation: 23.4

32 to 28 decrease percentage

Answers

Answer:

Step-by-step explanation:

To calculate a percentage decrease, first calculate the difference (decrease) between the two numbers you are comparing. Next, divide the decrease by the original number and multiply the answer by 100.

In this case, our difference is 32-28=4

4 divided by 32= 4/32, and multiplying by 100 gives us 400/32=12.5

Therefore, the percent decrease is 12.5%

Given that mLKN=145°, find the mLKM and mMKn

Answers

Answer: ∠LKM=56° and ∠MKN=89°

Step-by-step explanation:

Notice that ∠LKM and ∠MKN make up ∠LKN. That means ∠LKM and ∠MKN combines equals 145°.

2x+10+4x-3=145               [combing like terms]

6x+7=145                           [subtract both sides by 7]

6x=138                              [divide both sides by 6]

x=23

We are almost done. We still need to plug it in to find the angle values.

∠LKM

2x+10                                 [plug in x=23]

2(23)+10                             [multiply]

46+10                                 [add]

56

∠LKM=56°

------------------------------------------------------------------------------------------------------------

∠MKN

4x-3                                   [plug in x=23]

4(23)-3                                [multiply]

92-3                                    [subtract]

89

∠MKN=89°

Therefore, ∠LKM=56° and ∠MKN=89°.

gasoline is sold by the liter in many countries. how many liters are required to fill a 12.0-gal gas tank?

Answers

The Volume or liters required to fill a 12.0 - gal gas tank is 45.42 liters.

Gallon to liter conversion factors are:

[tex]1 \ Gallon = 3.785 \ Liter[/tex]

Assuming that the gallon measurement for the gas tank is 12.0 gal.

We now need to calculate the gas tank's liter capacity.

As, 1 gallon = 3.785 liter

[tex]So \ 12\ gallon = 12*3.785[/tex]

[tex]=45.42\ gallons.[/tex]

Therefore, 45.42 liters of liquid are needed to fill the gas tank.

Meaning of gasoline:

Petroleum is the source of gasoline, which is a mixture of flammable, volatile liquid hydrocarbons used as a fuel for internal combustion engines and as a solvent for oils and fats.

It is a by-product of the petroleum industry and is used as fuel for cars because it burns with a high degree of energy and mixes easily with air in a carburetor.

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determine if the three side lengths form a right triangle. 15, 8, 7

Answers

yup

Step-by-step explanation: the triplets of 15,8,7 make a right triangle

u can also add 8 squared and 7 squared and if it equals to 15 squared then it’s right

speedy boat rental charge 15$ deposit fee plus 2$ for each hour of use to rent a paddle boat Write an equation to find how many hours,h,

Answers

The number of hours that the rented the boat, if the total cost was $33 would be represented by the equation: 33 = 2h + 15

How to write the equation ?

To write the equation on the number of hours that the boat would have been rented for to get a total cost of $ 33, use the formula :
Total cost = Deposit fee + ( Cost per hour x Number of hours boat was used)

Total cost = $ 33

Cost per hour = $ 2

Number of hours boat was in use = h

The equation therefore is:

33 = 2 h + 15

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The full question is:

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddleboat.  Write an equation to find out for how many hours, h, they rented the Boat if the total cost was $33.

The graphs of lines k1 and k2 are shown on the grid. Which system of equations is best represented by this graph?

F. 3x-y=2
4x+9y=36

G. 3x-y=6
4x+9y=4

H. x-3y=-18
9x+4y=9

J. x+y=10
9x+4y=13

Answers

The equations which represents the given graph is 3x-y=2 and

4x+9y=36 .

What is Linear equation ?

Linear equation can be defined as the equation in which the highest degree is one

Given ,

The graphs of lines k1 and k2 are shown on the grid.

From the given graph ,

The Two lines are intersecting at a point x = 49/31 and y=85/31

So, lets put the values of and y in the given linear equations

so we get,

3x-y=2

4x+9y=36

put values x = 49/31 and y=85/31

so ,

3*(49/31) - 85/31  = 2

= 62/31

= RHS

which is equals to RHS

4*(49/31)+9*(85/31) = 36

=36* 31  / 31

= RHS

Which equals to RHS

Hence, The equations which represents the given graph is 3x-y=2

4x+9y=36 .

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Joseph has 93332 apples. she gets 1849032 more how many does he have?

Answers

Answer:

1,942,364

Step-by-step explanation:

   1 8 4 9 0 3 2

+        9 3 3 3 2

------------------------

   1 9 4 2 3 6 4

Joseph now has 1,942,364 apples.

No. of apples Joseph had in the beginning = 93332

No. of apples he gets more = 1849032

Total no. of apples he has now = 93332 + 1849032

= 1,942,364

Question 1 of 10
Which algebraic expression represents this word description?
The quotient of nine and the sum of a number and one
O A. 2+1
B. z1
C. +1
OD. +1

Answers

An algebraic expression which represents this word description "The quotient of nine and the sum of a number and one" is: D. 9 over x+1.

What is a quotient?

In Mathematics, a quotient can be defined as a mathematical expression that is simply used to represent the division of a number by another number.

In order to translate this word problem into algebraic equation, we would assign a variable to the unknown number and then translate the word problem into algebraic equation as follows:

Let the variable n represent the unknown number.

Translating the word problem into an algebraic equation, we have the following;

Quotient = 9/(x + 1)

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Complete Question:

Which algebraic expression represents this word description?

The quotient of nine and the sum of a number and one

A. x+1 over 9 B. 9/x +1 C. x/9 +1 D. 9 over x+1

What is the distance between PQ? Explain. Best explanation gets brainliest

Answers

The length of the line segment is given by the distance equation

D = 7.2 units

What is the distance of a line between 2 points?

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the distance of the line segment between two points be D

Now , the equation will be

Let the first point be represented as P ( 1 , 6 )

Let the second point be represented as Q ( 7 , 2 )

Now , distance between P and Q is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

D = √ ( 1 - 7 )² + ( 6 - 2 )²

On simplifying the equation , we get

D = √ ( -6 )² + ( 4 )²

D = √ ( 36 + 16 )

D = √ 52

D = 7.2 units

Hence , the distance is 7.2 units

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DE is a midsegment of the triangle


If BC=6x-2 and DE=2x+2 find the length of BC

Answers

If BC=6x-2 and DE=2x+2, then the length of BC is 16.

DE is a midsegment of the triangle.

As we know that;

A midsegment is a line segment that joins two of the midpoints of a triangle's sides.

The midsegment linking the midpoints of two sides of a triangle is parallel to the third side of the triangle, and its length is half that of the third side, according to the midsegment theorem.

So according to Midpoint Theorem

DE = BC/2

Now putting the value

2x+2 = (6x-2)/2

Multiply by 2 on both side, we get

4x + 4 = 6x-2

Add 2 on both side, we get

6x = 4x + 6

Subtract 4x on both side, we get

2x = 6

Divide by 2 on both side, we get

x = 3

Now putting the value of x in BC=6x-2

BC = 6(3) - 2

BC = 18 - 2

BC = 16

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The sum of $4 500 is divided among Anesha. Sian and Joanne. Sian received half, Anesha received $1050 and Joanne received the remainder. Calculate:
(a) Sian's share
(b) Joanne's share
(c) the ratio in which the $4500 was divided among the three persons
(d) the percentage of the total amount that Anesha received.​

Answers

Answer:

a: 2250. b: 1200. c: 5:2.3:2.7  d: 23.3%

Step-by-step explanation:

Sian gets 1/2 so 4500/2 = 2250

Anesha = 1050

Joanna = 2250-1050 = 1200

(ii) Hence, given that 6log 3+7-3 log, a = 0, find the possible values of a.

Answers

Answer: Given that 6log3 + 7 - 3loga = 0, we can start by isolating the variable a. To do this, we'll add 3loga to both sides:

6log3 + 7 = 3loga

Next, we'll divide both sides by 3:

2log3 + (7/3) = loga

Now we have loga on one side of the equation and a constant on the other. To find the possible values of a, we'll need to use the properties of logarithms.

We know that logb(x) = y is equivalent to b^y = x, so we can rewrite the equation as:

a = 3^(2log3 + (7/3))

To find the possible values of a, we'll need to evaluate the exponent on the right side of the equation. Since we don't know the value of log3, we can't find the exact value of a. However, we can say that the possible values of a are all the values that can be expressed as 3 raised to the power of (2log3 + (7/3))

Step-by-step explanation:

question 1 a number increases by 10%, and then decreases by 10%. will the result be greater than, less than, or equal to the original number

Answers

The number is decreased by 1%.

Now, According to the question:

Let the number be 100

Number is increased by 10% = 100+10% of 100

=100+10

=110

Now, the resultant number is reduced by 10% =110-10% of 110

=110-11

=99

The number obtained is 99

Decrease in value = 100 – 99 = 1

Percentage decrease = 1100 × 100=1%

Hence, the number is decreased by 1%.

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3.3.8 in a precourse, anonymous survey of students in her introductory statistics course, one of the authors asked her students how many hours per week they expected to spend studying statistics outside of class. forty-nine students responded to that question, with an average of 8.2 hours and a sd of 3.79 hours. the data were not strongly skewed. a) identify the observational unit for this study. b) identify the variable of interest and whether it is categorical or quantitative. c) use the theory-based inference applet to calculate and report the 95% confidence interval for the parameter of interest. d) in the context of this study, was it valid to use the theory-based (t-distribution) approach to find a confidence interval? explain your reasoning. e) interpret the 95% confidence interval reported in part (c) in the context of the study.

Answers

Above 95% confidence interval for population mean =(6.7149 to 9.2051)

Given that,

3.3.8 One of the writers asked her students how many hours a week they anticipated studying statistics outside of class in a pre-course, anonymous survey for her introductory statistics course. The average response time was 8.2 hours, with a standard deviation of 3.79 hours, from 49 students. Data were not significantly skewed.

To find : a) specify the study's observational unit. b) Determine if the variable is categorical or quantitative and the variable of interest. c) compute and present the 95% confidence interval for the parameter of interest using the theory-based inference applet. d) Was it appropriate to determine a confidence interval using the theory-based (t-distribution) technique in the setting of this study?

sample mean x= 7.960

sample size   n= 36.00

sample std deviation s= 3.68

std error sx=s/√n= 0.6133

for 95% CI; and 35 df, value of t= 2.030

margin of error E=t*std error    = 1.245

lower bound=sample mean-E = 6.7149

Upper bound=sample mean+E = 9.2051

from above 95% confidence interval for population mean =(6.7149 to 9.2051)

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Brynn has $1,200 in her savings account and plans to save an additional $350 each month in order to purchase a car. Write an equation to represent the total amount she has saved each month

Answers

An equation to represent the total amount she has saved each month is 350x + 1200.

We have to write an equation to represent the total amount she has saved each month.

Brynn has $1,200 in her savings account and plans to save an additional $350 each month in order to purchase a car.

To write an expression we have to read the statement very carefully and also write the expression after reading the statement.

Let she save the money in x months.

If she save $350 each month, then the total saving in x months = 350x

She has $1200 in saving account. Now the expression is

= 350x + 1200

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Maggie wants to purchase songs from a streaming service. Each song has a cost of x dollars. Which situation can be represented by this inequality?



8 + 4x < 12 + 3x

Answers

The inequality says that the cost of each song is less than 4 dollars.

Which situation can be represented by this inequality?

We want to see which situation can be represented by the inequality below.

8 + 4x < 12 + 3x

Where we know that each song costs x dollars.

The situation represented by that inequality can be:

"8 dollars plus 4 songs has less value than 12 dollars plus 3 songs"

We can also simplify the inequality to get:

8 + 4x < 12 + 3x

4x  -3x < 12  - 4

x < 4

We also can see that the cost of each song is less than $4.

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A university class has had 18 adult education students enroll so far, as well as 18 other students. Considering this data, how many of the next 14 students to enroll should you expect to be adult education students?

Answers

The number of next 14 students that will be expected to be adults education students would be = 7 adult education students.

Who is an adult education student?

An adult education student is the student that is undertaken by individuals that are mature men and women who take course for continuing education.

The first enrollment consist of the following;

Adult education student = 18

other = 18

Total for first enrollment = 18+18 = 36

If first 36 enrolled students = 18 adult students

second 14 enrolled students = X adults

Make X the subject of formula;

X adults = 14× 18/36

= 252/36

= 7

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Answer the following questions:

1. For a triangle oriented similar to the triangle in Example 3, find the value of h if a = 6 and b = 24.

2. Leo is inspecting a 1 cm ∶ 1.5 m scale floor plan of his new house. The dimensions of his bedroom in the scaled plan are 2 cm by 3 cm. What is the area of Leo’s actual bedroom in square meters?

3. You jogged 2.4 miles in 30 minutes. At that rate, how long will it take you to jog 3.2 miles?

4. An airplane flies 100 miles in half an hour. How far can it fly in 1 1⁄4 hours at the same speed?

5. The currency in Tajikistan is the Somoni. The exchange rate is approximately 0.17 Somoni = 1 Philippine peso. How much money in Somoni would you get with ₱500?

6. A map scale designates 1 inch = 25 km. The distance between the two towns on the map is 3 inches. If a liter of gasoline can last you for 50 kilometers, how many liters of gasoline would you need to drive from the first town to the second?

Answers

Answer: Using the formula for similar triangles, you can find the value of h by multiplying b by the ratio of corresponding sides. If a = 6 and b = 24, then the ratio of corresponding sides is 6/24 = 1/4. Therefore, h = b * (1/4) = 24 * (1/4) = 6

To find the area of Leo's actual bedroom in square meters, you can use the scale factor of 1 cm : 1.5 m and multiply the dimensions of the scaled plan by this factor. If the dimensions of the scaled plan are 2 cm by 3 cm, then the actual dimensions of the bedroom are 2 cm x 1.5 m/cm x 3 cm x 1.5 m/cm = 3 m x 4.5 m = 13.5 square meters

To find how long it will take to jog 3.2 miles at the same rate, you can use the formula distance = rate x time. If you jogged 2.4 miles in 30 minutes, then you can find the rate by dividing distance by time, which is 2.4 miles / 30 minutes = 0.08 miles/minute. Therefore, time = distance / rate = 3.2 miles / 0.08 miles/minute = 40 minutes

To find how far an airplane can fly in 1 1/4 hours, you can use the formula distance = rate x time. If the airplane flies 100 miles in half an hour, then the rate is 100 miles / 0.5 hours = 200 miles/hour. Therefore, distance = rate x time = 200 miles/hour x 1.25 hours = 250 miles

To find how much money in Somoni you would get with ₱500, you can use the exchange rate of 0.17 Somoni = 1 Philippine peso. Therefore, 0.17 Somoni x ₱500 = ₱85 Somoni

To find how many liters of gasoline you would need to drive from the first town to the second, you can use the map scale and

Step-by-step explanation:

Question 1 (2 points) ✓ Saved
Emilio has a bank account that pays 4% interest each year. He has $200 in his
account. How much interest will he earn after 1 year?
$10
$6
$4
$8
2.10

Answers

I think $2. 10?
I hope this helps<3

A chemical company make two brand of antifreeze. The firt brand i 60% pure antifreeze, and the econd brand i 85% pure antifreeze. In order to obtain 80 gallon of a mixture that contain 70% pure antifreeze, how many gallon of each brand of antifreeze mut be ued?

Answers

To obtain 80 number of gallons of a mixture that contains 70% pure antifreeze, you must use 56 gallons of the 60% pure antifreeze and 24 gallons of the 85% pure antifreeze.

1. Calculate the total amount of antifreeze needed to make 80 gallons of the 70% mixture.

80 gallons x 0.7 = 56 gallons of antifreeze

2. Calculate the amount of 60% pure antifreeze needed.

56 gallons x 0.6 = 33.6 gallons of 60% pure antifreeze

3. Calculate the amount of 85% pure antifreeze needed.

56 gallons x 0.85 = 47.6 gallons of 85% pure antifreeze

4. Subtract the amount of 60% antifreeze from the total amount of antifreeze needed to determine the amount of 85% antifreeze needed.

56 gallons - 33.6 gallons = 22.4 gallons of 85% pure antifreeze

5. Round the amounts to the nearest whole number.

33.6 gallons of 60% pure antifreeze and 24 number of gallons of 85% pure antifreeze.

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PLEASE HELP ME ASAP THANKS!! compare the process of digesting food in an amoeba (unicellular) to those in a mouse (multicellular), What is the main idea of the cartoon? which type of rock forms as a result of the weathering process, either by compaction and cementation of rock mineral fragments or the precipitation of dissolved minerals? A single cylinder, double acting compressor with bore and stoke of 45 cm x 45 cm is tested at 150 rpm and found to deliver a gas from 101.3 kPa and 300 K to 675 kPa at a rate of 0.166 m^3/s when n = 1.33 for compression and expansion process? Calculate the percent clearance.Answer in % Lz + A= [; ; ;] 13 _ [ ( 2 3 ] c [: ;] 5 . [ '| E [,] Which of the 25 matrix products AA, AB, AC defined? Compute those products that are defined_ ED, EE are What is the intermediate step in the form (x+a)^2=b as a result of completing the square for the following equation?-6x^{2}-582=60x Most government entities share their compensation structure publicly. They use a job classification plan where pay rates are based on compensable factors such as knowledge and skills similar to the federal governments General Schedule (GS) system.Jobs are grouped into seven classifications, ranging from Grade 1 through Grade 7. Over time, employees receive pay increases according to length of service (Steps 14), and progression through the steps assumes a minimum of acceptable performance.Below is an example of a citys waiting period within steps and published job structure: Waiting Step 1 to 2: One year Step 2 to 3: One year Step 3 to 4: Two years Period and six monthsGrade Step 1 Step 2 Step 3 Step 41 31200 32240 33280 343202 35360 36400 37440 384803 39520 40560 41600 426404 43680 44720 45760 468005 47840 48880 49920 509606 52000 53040 54080 540807 56160 57200 58240 592801. Using the schedule above, calculate the number of years it would take an employee to advance from their starting position in Grade 4 (Step 1) to Step 4 if they demonstrate acceptable performance.2. Another employee asked what their salary would likely be after completing two additional years of service. This employee just entered their first year in Grade 4 (Step 2). If they were to demonstrate acceptable performance, what would their expected salary be after completing two additional years of service?3. All pay rates typically increase each year based on changes in the consumer price index. Calculate the salary for each step in Grade 7 based on an overall 3% increase. 1.it was realed.A. made knownB.mumbledC.resealedD.rentedE.hidden away Yushio is borrowing $3,525 from Houghtonville National Bank for 2 years at 12.6% simple interest. How much will he need to repay the loan? megan collects stamps.she keeps her stamps ina abook that can hold 17 on each page. she has 56 pages full of stamps, and 14 pages that are only half full.how many stamps does megan have? describe the path followed by water from the soil, through the plant and into the atmosphere. where are the important resistances to water movement in this path? describe the casparian strip and its function. from the point of view of its function, what is the most important substance in the casparian strip? You buy a 562. 75 mL of dish soap. You already have some at home. How many mL do you have? 224. 14 at home Whats a system of equations that can be entered into a graphing calculator to solve 16.9x-2.3=3.2x+18 Banana Inc. is producing batches of smartphones. The company's quality control department randomly picks a sample phone from each batch for testing. Which of the following percentages is possible as the percentage of the samples that pass? Which of the following are not the lengths of the sides of a 30-60-90 triangle?A. 1/2, 3/2, 1B. 5/2, 53/2, 10C. 2, 6,22D. 3,33,6 b. draw the equivalent circuit of the alternator per phase under the dc field excitation conditions given above. c. what is the nominal full load current per phase? 2. a. if the alternator in problem 1 supplies a resistive load of 120mw at a voltage of 12kv, what must be the induced voltage eo ? which of the following is not considered a safety equipment? group of answer choices eye wash station, safety shower broken glass box fire extinguisher safety hood Select the inequality that models the problem. The sum of two consecutive odd integers is at least 76. Find the least possible pair of integers. A) n + n + 2 > 76 B) n + n + 1 76 C) n + n + 2 76 D) n + n + 1 > 76 HelpA machine that drills holes for wells drilled to a depth of72 feet in one day (24 hours).At this rate, how many hours will it take until the drill reaches its final depth of 132 feet? A system of linear equations with more equations than unknowns is sometimes called an overdetermined system. Can such a system beconsistent? Illustrate your answer with a specific system of three equations in two unknowns. chosse from the below option.a)Yes, overdetermined systems can be consistent. For example, the system of equations below is consistent because it has the solutionAnswer: (Type an ordered pair here _____)x1=2, x2=4, x1+x2=6