6x + 45 is less than or equal to 240

Answers

Answer 1

Answer: neither

Step-by-step explanation:

To get rid of the fractions, we pick a useful number and multiply both sides of the equation by that number. The number is useful if multiplying eliminates all fractions.


Related Questions

A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 6 tables is $54 . The total cost to rent 5 chairs and 3 tables is $36 . What is the cost to rent each chair and each table?

Answers

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The cost of each chair is $2.25.

The cost of each table is $8.25.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example: 2x + 4 = 5 is an equation.

We have,

Cost of each chair = x

Cost of each table = y

Now,

2x + 6y = 54 _____(1)

5x + 3y = 36 ______(2)

From (1) we get,

2x = 54 - 6y

x = (54 - 6y)/2 ______(3)

Now,

Putting (3) in (2) we get,

5(54 - 6y)/2 + 3y = 36

270/2 - 30y/2 + 3y = 36

135 - 15y + 3y = 36

99 = 12y

y = 99/12

y = 8.25 ______(4)

Now,

Putting 4 in (3) we get,

x = (54 - 6 x 8.25) / 2

x = 4.5/2

x = 2.25

Thus,

The cost of each chair is $2.25.

The cost of each table is $8.25.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

The power P (in W) generated by a particular windmill is given by P=0.015V where V is the velocity of the wind (in
mph). Find the instantaneous rate of change of power with respect to velocity when the velocity is 5.9 mph. Round
your answer to the nearest tenth.
OA. 0.3 W/mph
OB. 3.5 W/mph
OC. 1.6 W/mph
D. 6.2 W/mph

Answers

The instantaneous rate of change of power with respect to velocity is 1.6 W/mph.

What is the rate of change function?

The pace at which one quantity changes in relation to another is known as the rate of change function.

Given, P = 0.015[tex]V^{3}[/tex]

Differentiating P with respect to V:

P′=(0.015)(3)[tex]V^{2}[/tex]

At V = 5.9 mph, then

P′=(0.015)(3)[tex]5.9^{2}[/tex] = 1.6 W/mph

Hence, the instantaneous rate of change of power is 1.6 W/mph.

To learn more about the rate of change function

https://brainly.com/question/20338155

#SPJ1

What is [tex]\sqrt{x-3} -\sqrt{x} =3[/tex]

Answers

Answer:No solution

Step-by-step explanation:

The solution of the equation is 4. Once you plug in 4, you will find that it does not fit

1-2 does not equal to 3

pls help me with this question ​

Answers

Answer:

[tex]\frac{13}{30}[/tex]

Step-by-step explanation:

What percentage of 2000 is 1200

Answers

The percentage of 2000 that is 1200 is
= 60%

given the slope of the line and one point the passage through (2,-1) m=5/4

Answers

Answer:

slope intercept form:

y = [tex]\frac{5}{4}[/tex] x - [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

m = 5/4

x = 2   from the point (2,-1)

y = -1   from the point (2,-1)

y = mx + b

-1 = [tex]\frac{5}{4}[/tex] ([tex]\frac{2}{1}[/tex]) + b

-1 = [tex]\frac{10}{4}[/tex] + b

-1 = [tex]\frac{5}{2}[/tex] + b   Subtract [tex]\frac{5}{2}[/tex] from both sides

[tex]\frac{-2}{2}[/tex] -+ [tex]\frac{-5}{2}[/tex] = b

[tex]\frac{-7}{2}[/tex] = b

y = mx + b

y = [tex]\frac{5}{4}[/tex] x - [tex]\frac{7}{2}[/tex]

Answer:

if you need the equation: y + 1 = [tex]\frac{5}{4}[/tex] (x-2) or y + 1 = [tex]\frac{5}{4}[/tex] x  [tex]-\frac{5}{2}[/tex]

the answer: y = [tex]\frac{5}{4}[/tex] x [tex]-\frac{7}{2}[/tex]  

Step-by-step explanation:

Kind of explanatory you have a slope and a point, your formula is going to be y-y₁ = m(x-x₁)

I will mark brainliest, kinda urgent

Answers

The quadratic function that models the graph on the image is given as follows:

y = (x - 1)² - 1.

What is the quadratic function?

The features of the quadratic equation given from the graph are given as follows:

The vertex.The y-intercept.

The equation of a quadratic function with vertex (h,k) is defined as follows:

y = a(x - h)² + k.

In which a is the leading coefficient of the function.

From the graph, the coordinates of the vertex are given as follows:

(1,1).

As the vertex is the turning point of the function.

Hence the parameters h and k have values of:

h = 1, k = 1.

Hence:

y = a(x - 1)² + 1.

The y-intercept of the function is of:

y = 2.

This means that when x = 0, y = 2, hence the leading coefficient a is obtained as follows:

2 = a(0 - 1)² + 1

a = 1.

Hence the equation is of:

y = (x - 1)² - 1.

More can be learned about quadratic functions at https://brainly.com/question/24737967

#SPJ1

Sydney’s fitness app says she has completed `70\%` of her goal for the week. Her goal is `50` miles. How far has she biked?

Answers

Sydney has biked `35` miles.

Malik spent $7.00 for a drink and a sandwich. His drink cost $ 2.00. Did he have a ham sandwich for $ 3.00, a tuna sandwich for $ 5.00, or a turkey sandwich for $ 4.00 Use the equation s + 2.00 = 7.00 to justify your answer.

Answers

Answer: tuna sandwich

Step-by-step explanation: 2+5=7

Jordan is helping his dad build a doghouse. The floor is rectangle-shaped with a width of 5 feet and an area of 36.25 ft2. What is the length of the rectangular floor?​

Answers

The length is 7.25 feet

Here the detail

The formula for rectangled-shaped area is multiply length and width

Area = Length x Width

In this case, we know that the area is 36.25 ft2 and the width is 5 feet

so we can divided the area and the width to solve the length

Area = Length x Width

36.25 = Length x 5

Length = 36.25 : 5

Length = 7.25 feet

Hence the length of the rectangular floor is 7.25 feet

More about the rectangle-shaped here

https://brainly.com/question/17508193

#SPJ1

Does the table represent a
function? Explain.
x
-3 -2 0 -3 -2
y 9 4 0 -9 -4

Answers

keeping in mind that a function does not have any X-Repeats, that is, the 1st coordinate in every pair never repeats, Check the picture below.

2x-3y=-9
x-5y=-29 solve by substitution

Answers

Answer:x=6

y=7

Step-by-step explanation:

x=5y-29

2(5y-29)-3y=-9

7y=49

y=7

x=5(7)-29

x=6

Find the present value​ (the amount that should be invested now to accumulate the following​ amount) if the money is compounded as indicated.
​$6800 at ​4% compounded quarterly for 3 years

Answers

The present value​ the amount that should be invested now to accumulate is $7662.24.

What is meant by compound interest?

Compound interest is the adding of interest to the principal amount of a loan or deposit, or interest on interest + principal. It is the outcome of reinvesting interest, or adding it to lent capital, rather than paying it out or requesting payment from the borrower, so that interest is received on the principle sum plus previously accumulated interest in the next month. In finance and economics, compound interest is common.

Compound interest differs from simple interest in that previously collected interest is not added to the current period's main amount, resulting in no compounding. The simple annual interest rate is calculated by multiplying the interest amount per period by the number of periods in a year.

Given,

Principle P=$6800

T=3 years

And also given that the money is compounded quarterly.

Present value=P[tex](1+(R/4)^{4t}[/tex]

=6800[tex](1+(4/400)^{12}[/tex])

=6800[tex](1+(1/100))^{12}[/tex]

=6800[tex](101/100)^{12}[/tex]

=6800[tex](1.01)^{12}[/tex]

=6800×1.1268

=$7662.24

The present value​ the amount that should be invested now to accumulate is $7662.24

To know more about compound interest, visit:

https://brainly.com/question/14295570

#SPJ1

In an animal rescue facility are 21 animals.14 cats and 7 dogs. During the day 5 animals were adopted.what is the probabity that 3 cats and 2 dogs were adopted? Review ch 7 on probability

Answers

Answer:

0.3756

Step-by-step explanation:

I believe this is a combinatorics probability problem.

We first figure out in how many ways we can choose 3 cats out of 14 cats

Then we figure out how many ways we can choose 2 dogs out of 7 dogs

The total number of ways to select 3 cats and 2 dogs will be the product of these two

We then figure out in how many ways we can select 5 animals out of a total of 21 animals

The product we computed divided by the above number will give the probability

The number of ways we can choose k items out of n items is given by nCk i.e n Choose k

The formula is rather complicated but almost all calculators should be able to compute this given n and k

Let's deal with the selection of 3 cats from the population of 14 cats

This is given by 14C₃ which works out to 364

Number of ways for selecting 2 dogs from 7 dogs = 7C₂ = 21

Number of ways of selecting 5 animals from 21 = 21C₅ = 20349

The probability of selecting 3 cats and 2 dogs is therefore:

[tex]\dfrac{364 \times 21}{20349} = 0.3756[/tex]

That, I believe is the answer. Please let me know if it is correct and if you need more info.

6. The table shows the number of goals scored by a soccer team in 20 matches.

4

1

1

2

2

1

1

3

0

4

0

3

1

2

2

2

3

4

(a) Represent the data on a dot diagram.

(b) Find

(i) the mean,

(ii) the median,

2

(iii) the mode, of the distribution.

3

Answers

a) The dot plot of the data-set is given by the second image shown at the end of the answer.

b - i) The mean of the distribution is of: 1.6 goals.

b - ii) The median of the distribution is of: 1.

b - iii) The mode of the distribution is of: 1 goal.

What are the measures?

The mean is given by the sum of all observations of the data-set, hence it is of:

Mean = (0 x 5 + 1 x 6 + 2 x 4 + 3 x 3 + 4 x 1 + 5 x 1)/20 = 1.6.

The median of the distribution is the middle value of the distribution, which is the value of which half the distribution is less than and half is greater than.

Adding in the frequency table given at the end of the answer, it is found that the middle term is of 1, as the sum of the frequencies reaches 10, which is half of the cardinality of 20, at a number of 1.

The mode is the term with the highest absolute frequency, hence it is also of one goal, as it has the highest absolute frequency, which is of 6.

The dot plot gives a dot to each measure for each time that it appears, hence it says the same thing as the table, in a different format.

Missing Information

The table is given by the first image shown at the end of the answer.

More can be learned about mean, median and mode at https://brainly.com/question/14532771

#SPJ1

9(2n+1) help please brooooooo

Answers

Answer:

18n + 9

Step-by-step explanation:

Distribute 9 into the expression.

9*2n = 18n

9*1 = 9

18n + 9

what is the slope of a line that is parallel to the line connecting point O (-5,1) and point P (2,3)?

Answers

Answer:

2/7

Step-by-step explanation:

2 parallel lines have the same slope

we just need to find the slope of the line with the point’s connecting O and P

We use y2-y1/x2-x1 to find slope

3-1/2-(-5)

2/7

2/7 is the slope

Hopes this helps please mark brainliest

Jason uses his car for business. he must keep accurate records so his company will reimburse him for his car expenses. when he started his trip, the odometer read 43,156.1. Jason's car gets 35 miles per gallon. his tank was full at the beginning of the trip. when he filled the tank, it cost $34.24. what price did he pay per gallon of gas on this fill-up?

Answers

The price Jason paid per gallon of gas on this fill-up is $0.03 per gallon

What is the price per gallon?

Based on the given task content; this can be solved using the division method.

Total miles = 43,156.1Jason's miles per gallon = 35 miles per gallonTotal cost to fill Jason's car = $34.24

Total 35 miles in Jason's odometer = Total miles / 35

= 43,156.1 / 35

= 1233.031428571428

Approximately,

1,233.03 of 35 miles per gallon

Amount Jason paid per gallon of gas on this fill-up = 1,233.03 / $34.24

= 0.027768991833126

Approximately,

$0.03 per gallon

In conclusion, the amount Jason paid per gallon of gas is $0.03 per gallon

Read more on miles per gallon:

https://brainly.com/question/23950205

#SPJ1

Can somebody help me with this please?

Answers

Answer: -16.66

Reason: 10*-5/3=−16.66666667 or −50/3​

What does absolute value represent?

Answers

Step-by-step explanation:

The distance from zero that a number is on the number line without considering Direction

during basketball season josh made 3 out of every 7 free throw attempts in the last game josh attempted 28 free throws how many free throws would he have been expected to make

Answers

There are 12 free throws would he have been expected to make.

What is mean by Ratio?

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities.

Given that;

During basketball season josh made 3 out of every 7 free throw attempts in the last game.

Now,

Since, During basketball season josh made 3 out of every 7 free throw attempts in the last game.

Hence, Let number of free throws would he have been expected to make for attempted 28 free throws = x

So, We can formulate;

⇒ 3/7 = x/28

Solve for x as;

⇒ 3 × 28 / 7 = x

⇒ x = 3 × 4

⇒ x = 12

Thus, There are 12 free throws would he have been expected to make.

Learn more about the ratio visit:

https://brainly.com/question/12024093

#SPJ1

solve -x+y=6 and 2x+5y=-12 using substitution method

Answers

x=-6 and y=0 are solutions for the equations 2x+5y=-12.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given equations,

-x+y=6...(1)

2x+5y=-12 ...(2)

From equation 1

y=6+x

Now put y value in 2

2x+5(6+x)=-12

2x+30+5x=-12

7x+30=-12

Subtract 30 on both sides

7x=-12-30

7x=-42

Divide both sides by 7

x=-6

Now plug in x value in equation 1

-(-6)+y=6

6+y=6

y=0

Hence, x=-6 and y=0 for the equations 2x+5y=-12.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

question below answer quick

Answers

The x-intercept is (5,0)

The y-intercept is (0,10)

What is intercept ?

A y-intercept, also known as a vertical intercept, is the point where the graph of a function or relation intersects the y-axis of the coordinate system in analytical geometry, using the widely used convention that the horizontal axis represents a variable x and the vertical axis represents a variable y. As a result, x = 0 is satisfied at these sites.

A line's x-intercept and y-intercept are the points at which the x- and y-axes cross, respectively.

To find x-intercept we put y = 0 to the equation

4x + 2y = 20

4x = 20

x = 5

To find y-intercept we put x = 0 to the equation

4x + 2y = 20

2y = 20

y = 10

To learn more about intercept from the given link  

https://brainly.com/question/25722412

#SPJ1

The diagram shows a shape with all side lengths measured in centimetres. All the angles are right angles.
Write an expression, in terms of
x, for the total shaded area.

Answers

The expression for the total shaded area is in terms of x is

Area = (x + 5)(x - 3)

How to find the total shaded area

The top side of the diagram shows that the dimension for the shaded area has length = x + 5

The width of the shaded area is x - 3

Area of a rectangle is given by the formula

Area = Length * width

Area = (x + 5) * (x - 3)

Area = x² - 3x + 5x - 15

Area =  x²+ 2x - 15

Learn more about rectangles here:

https://brainly.com/question/29595743

#SPJ1

Susan has a collection of 60 nickels and dimes. If the number of nickels is four times the number of​ dimes, how many nickels and how many dimes does she​ have?

Answers

Answer: 12 dimes, 48 nickles.

Step-by-step explanation:

Let x = the number of dimes

Let 4x = the number of nickels

x + 4x = 60

5x = 60

x = 12 dimes

4x = 48 nickles

She has 48 nickels and 12 dimes.

Equation

At first, we have to express the sentence into equation:

Given:

x = nickels

y = dimes

Susan has a collection of 60 nickels and dimes  --> x + y = 60 ............. (1)

the number of nickels is four times the number of dimes --> x = 4y ......(2)

then we must input the equation (2) into the equation (1):

x + y = 60

4y + y = 60

5y = 60

y = 60/5

y = 12

As we know the value of y, we can calculate the value of x from the equation (2):

x = 4y

x = 4 * 12

x = 48

Thus, Susan has 48 nickels and 12 dimes

Learn more about equation here: https://brainly.com/question/26122138

#SPJ1 (add this hashtag at the end of the answer)

The weather report suggested that your city’s temperature increased from -10 degree celsius to 20 degree celsius. What is the rise in temperature?

Answers

Answer:

The temperature increased in 30 degrees Celsius

Step-by-step explanation:


Ahmed earns $450/week. He receives a 4% increase in pay.

What is Ahmed’s weekly pay after his increase?

Answers

The answer to this question is $468

Can you guys awnser the questions in the boxes below

Answers

Answer:35 divide by 10.50= 3.33 = 4 hrs

Step-by-step explanation:

Use the quadratic function to predict y if x equals 7.
y=2x²-3x+3
y=-77
y=-80
y=80
y=77

Answers

Answer: C. y=80

Step-by-step explanation:

1. Based on the given conditions, formulate: x=7

2. Calculate: Substitute   x=7 into y=2x(to the power of) - 3x+3

y=80

3. Then find the correct option: C

9. A water tank is filled at a constant rate.
After 36 minutes, there are 648 gallons of
water in the tank. How many gallons of
water flowed into the tank each minute?
Use the model.
36
כp
648
regist
the upc
has 49 vor
the same nu
voters will

Answers

Answer: 18 gallons

Step-by-step explanation:

648/36 = 18

Other Questions
A: I (be) ______ absent from class last week. (you, take)______________ notes? B: Yes, I _____________. But I (understand, not) _____________________ what we did in class last Thursday. Lets both go see the teacher in his office hours, OK? Then we can ask him. according to lecture, what is a defining characteristic of countries in which people report the highest levels of happiness? Brainliest if you get it right Benefits are offered by employers to attract good employees. please select the best answer from the choices provided t f an efficiency expert claims that a new ergonomic desk chair makes typing at a computer terminal easier and faster. to test it, volunteers are selected. half of the volunteers will use the new chair and half will use their old chairs. each volunteer types a randomly selected passage for 2 minutes and the number of correct words typed is recorded. choose the correct answer below. a. the data are independent and not paired. b. the data are paired where the pairing involves the volunteers who use the new chair and the volunteers who use their old chair. c. the data are paired where the pairing involves the random passages the volunteers type vv7 of 107 of 10 items 10:32 skip to resources question the height of an ostrich is 20 inches more than 4 times the height of a kiwi. if an ostrich is 108 inches tall, how tall is a kiwi? During the transamination process, the enzyme transaminases uses ________ as a cofactor.A) TetrahydrofolateB) FolateC) Pyridoxal pyrophosphateD) Phylloquinone quizlet what document assists provider offices with the development of compliance manuals? a. oig internal compliance plan b. oig work plan c. oig investigation plan d. oig compliance program guidance Find the 70th term of the arithmetic sequence Which technique indoctrinates people into performing actions against their beliefs by initially requesting them to carry out apparently small, harmless tasks?. Which was a common goal of the Declaration of Independence and the Declaration of the Rights of Man and of the Citizen? muscle function differences between patients with bulbar and spinal onset amyotrophic lateral sclerosis. does it depend on peripheral glucose? A corporation issued 6,400 shares of $10 par value common stock in exchange for some land with a market value of $98,000. The entry to record this exchange is:A. Debit Land $98,000; credit Common Stock $64,000; credit Paid-In Capital in Excess of Par Value, Common Stock $34,000.B. Debit Land $98,000; credit Common Stock $98,000.C. Debit Land $64,000; credit Common Stock $64,000.D. Debit Common Stock $64,000; debit Paid-In Capital in Excess of Par Value, Common Stock $34,000; credit Land $98,000.E. Debit Common Stock $98,000; credit Land $98,000. Decide whether the rates are equivalent 17 heartbeats in 15 seconds find the slope-intercept equation of the line that passes through (3,-1) and has a slope of -1 how far from the lens must the film in a camera be, if the lens has a 35.0-mm focal length and is being used to photograph a flower 75.0 cm away? explicitly show how you follow the steps in the lenses. Active neurons need ATP to support which of the following?A) the movement of materials to the soma by axoplasmic transportB) the synthesis of neurotransmitter molecules C) the movement of materials from the soma by axoplasmic transportD) the recovery from action potentialsE) all of the above in state-of-the-art vacuum systems, pressures as low as 1.00 10-9 pa are being attained. calculate the number of molecules in a 1.30-m3 vessel at this pressure and a temperature of 31.0c. Why did john white leave the roanoke colony a client with rheumatoid arthritis tells the nurse about experiencing mild tinnitus, gastric intolerance, and rectal bleeding. what medication does the nurse suspect is causing these side effects?