If Archibald and Rasmus can paint the equivalent of 5/12 of a fence in an hour, how many minutes will it take for them to complete the job?

Answers

Answer 1

Answer:

144 minutes

Step-by-step explanation:

1 hr  = 60 minutes

5/12 of a fence in 60 mimnnutes

(5/12)x = 60

Multiply both sides by 12/5

x = 60 * 12/5

x = 144

144 minutes

Answer 2

If Archibald and Rasmus can paint the equivalent of 5/12 of a fence in an hour, then 144 minutes will take them to complete the job.

What is an algebraic expression?

An algebraic expression stands for the combination of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.

Let x be the minutes.

1 hr = 60 minutes

5/12 of a fence in 60 minutes

(5/12)x = 60

Multiply both sides by 12, and we get

[tex]$12 \cdot \frac{5}{12} x=60 \cdot 12$[/tex]

Simplifying the above equation, we get

5x = 720

Divide both sides by 5

[tex]$\frac{5 x}{5} = \frac{720}{5}[/tex]

Simplify

x = 144

The value of x = 144.

Therefore, 144 minutes will take them to complete the job.

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Related Questions

4log(2) x + log(2)5 = log(2)405

Answers

Answer:

3/2

Step-by-step explanation:

Find the measure of the angle indicated

Answers

Answer:

50?

Step-by-step explanation:

im not sure please think about it, but I think it might be 50

You are making a pyramid-shaped trophy.
The trophy has a square base with side lengths of 9 inches and a slant height of 11 inches.
The paint needed costs $0.15 per square inch.
How much will it cost to paint the faces of the trophy?

Show your work

Answers

Answer: [tex]\$29.7[/tex]

Step-by-step explanation:

Given

The trophy has a side of [tex]a=9\ in.[/tex]

Slant height [tex]l=11\ in.[/tex]

Rate  of painting [tex]r=\$\ 0.15/in.^2[/tex]

Lateral surface area of square pyramid is [tex]2al[/tex]

Insert the values

[tex]\Rightarrow 2\times 9\times 11\\\Rightarrow 198\ in.^2[/tex]

Cost of painting

[tex]\Rightarrow 198\times 0.15=\$29.7[/tex]

HELP!


Will give branliest!

Answers

Answer:

Try 1/6, if not then search up Fraction Calculator it should be Calculator.net

I need help on this!!

Study guide for exam

The circle have the same question.

No links

Answers

Answer: Picture pls

Step-by-step explanation:

.

Answer:
What’s the question

Explanation:

Pleaseee Help
What is the area of the shaded sector?

Answers

Answer:

40π

Step-by-step explanation:

∅ = 360 - 135 = 225

a = (∅/360) * π * r²

a = (225/360) * π * 8²

a = 40π

i don’t know if it’s B or C what do you guys think?

Answers

Answer:

I think it is D.

Step-by-step explanation:

It is a guess, but I am not fully sure.

If correct, may I have a brainliest?

                      XxRoadToAcexX

Answer:

D) 17.51

Step-by-step explanation:

D) 17.51

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.


Answers

Answer:

its 28

Step-by-step explanation:

C is the longest side which is 35 ye and b is 21 yd. Then you would subtract 21^2 from 35^2 and you would get 784. Then find the square root of 784 and you would get 28 as the answer! Good luck and have a great day or night!

Answer:

28 yards

Step-by-step explanation:

We can use pythagorean theorem to solve this problem; pythagorean theorem is denoted by the formula a^2 + b^2 = c^2. We already have b, as 21 yd and c, as the hypotenuse is 35 yd. We can plug these values into the formula:

a^2 + 21^2 = 35^2

a^2 + 441 = 1225

a^2 = 784

a = 28 yards

You try to explain the number of IBM shares traded in the stock market per day in 2005. As an independent variable you choose the closing price of the share. This is an example of A. invalid inference due to a small sample size. B. sample selection bias since you should analyze more than one stock. C. simultaneous causality.

Answers

Answer:

This is an example of

C. simultaneous causality.

Step-by-step explanation:

Simultaneous causality eliminates the conclusion that is often taken for granted to the effect that one variable is a response variable while the other is an explanatory variable because the two variables, the price and the number of shares, influence each other at the same time.  When more shares are traded than demanded in the stock market in any day, the price tends to go down, and vice versa.

Two bonds are available on the market as follows: Bond 1: Face value $250, 5 years to maturity at a simple interest rate of 5%. Bond 2: Face value $350, 3 years to maturity at a simple interest rate of r. Given that both bonds yield the same interest at maturity, calculate r. Round your answer to the nearest hundredth of a percent. Do NOT round until you have calculated your final answer.

Answers

Answer:

5.95%

Step-by-step explanation:

Bond 1:

I = 250(.05)5

I = $62.50

Bond 2:

62.5 = 350(3)r

62.5 = 1050r

r = 62.5/1050

r = 5.95%

Answer:

5.95%

Step-by-step explanation:

From $25 to $35


The percent increase is

Answers

Answer:

40 percent

Step-by-step explanation:

Start by taking the difference of the two values:

35-25 = 10.

the $10 is how much the value increased by.

To get the percent that the $25 increased by, take 10/25 to get .4

This .4 can then be turned into a percentage when you multiply it by 100. = 40 percent.

You can check your answer by finding 40 percent of 25, which is 10.

Is (–5, 2) a solution to the equation y = x?

Answers

No because -5 does not
Equal 2

Write at least three expressions that are equivalent to 3(2x - 5)

Answers

Answer:

6x - 15

6x - (5 · 3)

(3 · 2x) - 15

So, for #1, we can just simplify 3(2x - 5) to get another expression:

3(2x - 5),

6x-15

For the next one, we could make a new equation that equals 6x-15:

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

Then for the last one, how about rewrite it so all of the values are inversely negated?

3(2x - 5),

-3(-2x +5)

Gary is cleaning windows. He sets his ladder 25 feet away from the wall of the house to reach the windows on the second story, which are at a height of 20 feet above the ground. He moves his ladder 15 feet closer to the wall to reach the windows on the third story of the house.

Approximately how high above the ground are the windows on the third story of the house?

A.33.5ft
B.28.3ft
C.30.4ft
D.32.0ft

Answers

i could be wrong but 30.4ft

The 28.3 feet high above the ground are the windows on the third story of the house.

It is required to find the height.

What is the Pythagorean Triple?

The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:

c² = a² + b².

Given that:

Distance between ladder and wall=25 feet

Height of window=20 feet

Closer distance between ladder and wall=15 feet

We know the Pythagoras theorem , we get

[tex]a^{2} +b^{2} =c^{2}[/tex]

we have

a=15 feet

b=?

c=25 feet

So,

[tex]a^{2} +b^{2} =c^{2}\\\\15^{2} +b^{2} =25^{2}\\\\225+b^{2} =625\\\\b^{2}=625-225\\\\b^{2}=400\\\\b=20 feet[/tex]≈28.3 feet

Therefore, the 28.3 feet high above the ground are the windows on the third story of the house.

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Manufacturers are testing a new cologne before it's released. A machine uses sensors to determine if the cologne is working (maintaining a scent for 1 hour)

a. 15/82
b. 15/37
c. 22/37
d. 1​

Answers

Answer:

It’s B

Step-by-step explanation:

Use summation notation to write the series -1+2-4+8-16... for 12 terms

Answers

Answer:

The first 12 terms of the series are represented by:

[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]

Step-by-step explanation:

The summation notation for the series [tex]-1 + 2 -4 + 8 -16...[/tex] is represented by the expression [tex]f(n) = \Sigma\limits_{i = 1}^{n} [(-1)^{n} \cdot 2^{n-1}][/tex].

The first 12 terms of the series are represented by:

[tex]f(12) = \Sigma\limits_{i = 1}^{12} [(-1)^{n}\cdot 2^{n-1}] = -1 + 2 - 4 + 8 - 16 + 32 - 64 + 128 -256 + 512 - 1024 + 2048[/tex]

5 times the sum of 24 and 7

Answers

Answer:

Your answer should be 155!

Step-by-step explanation:

Sum means to add, so 24 + 7 = 31

31 x 5 = 155

I hope this helps!

A summation, also called a sum, is the result of arithmetically adding numbers or quantities. 155 is the answer for 5 times the sum of 24 and 7.

What is Sum?

A summation, also called a sum, is the result of arithmetically adding numbers or quantities.

Given,

5 times the sum of 24 and 7

Sum is nothing but addition.

When we see the word sum it means we are adding some value with other factor. In the given problem 24 and 7 are added.

Times means multiplication.

We have to convert 5 times the sum of 24 and 7 to expression.

When we see times, it means product or we are multiplying a number with the other number. Here with 5 we are multiplying the sum of 24 and 7.

5×(24+7)

Firstly we calculate value in parenthesis.

twenty four plus seven is thirty one.

5×31

The product of 5 and 31 is 155.

155

Hence 155 is the answer for 5 times the sum of 24 and 7.

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If the lengths of male skis and female skis are used to construct a​ 95% confidence interval for the difference between the two population​ means, the result is 14.32cm < μ1 - μ2 < 21.95 ​cm, where lengths of male skis correspond to population 1 and lengths of female skis correspond to population 2. Express the confidence interval with the lengths of female skis being population 1 and lengths of male skis being population 2.

a. - 14.32 cm <μ1−μ2<−21.95
b. -21.95 cm <μ1−μ2<−14.32
c. 14.32 cm <μ1−μ2<21.95
d. This cannot be determined without having the original data values.

Answers

Answer:

c

Step-by-step explanation:

need help ASAP !! A line segment has endpoints(3,14) and (3,22) which of the following statements is true?

Answers

Answer:

the answer is b. the segment has a length of 8 units vertical.

Step-by-step explanation:

1
32. A friend plans to purchase a mattress that sells for $1200 at a particular store. The store
is offering 15% off any one mattress. He also has an internet coupon for an additional
10% off any discounted price. How much will your friend save (a) in dollar amount and
(b) in percent

Answers

Answer:

(A) Your friend will save $282.

(B) Your friend will get 23.5% off the original price of the mattress.

Step-by-step explanation:

We first need to find out the price of the mattress after the 15% discount. Our first step is to find what 15% of 1,200 is. We can do this by multiplying the two numbers.

1,200 x 15% -----> 1,200 x 0.15= 180.

15% of $1,200 is $180.

Next subtract $180 from $1,200, which equals $1,020. We can now apply the 10% off internet coupon.

1,020 x 10% ------> 1,020 x 0.10= 102.

10% of $1,020 is $102.

Next we subtract $102 from $1,020 and we get $918, the final price of the discounted mattress.

We subtract to see how much money the friend saved.

$1,200 - $918= $282.

We can get the percentage by dividing $282 by $1,200.

282 / 1200= 0.235 decimal form ----> 23.5%

Angle Relationships

For the triangle above, find sin B.

a. 25°
b. 0.385
c. 0.923
d. 18°

Please select the best answer from the choices provided

Answers

Answer:

c

Step-by-step explanation:

12/13=0.923 , and also sinb is ac/ab

Answer:

C. 0.923

Step-by-step explanation:

I calculated it logically

I don’t know what to do please don’t give me files I don’t get it

Answers

Answer:

i believe its dependent

Step-by-step explanation:

Find the volume of the following cylinder in cubic inches

Answers

Answer:

Option (1)

Step-by-step explanation:

Volume of a cylinder is given by the formula,

V = πr²h

Here, V = Volume

r = Radius of the circular base

h = Height of the cylinder

From the picture attached,

r = 8 in.

h = 0.5 in.

By substituting these values in the formula,

V = π(8)²(0.5)

  = 32π

  = 32(3.14)

  = 100.48 in³

Therefore, Option (1) will be the correct option.

What is the coefficient in the expression: 2x + 9

Answers

Answer:

2

Step-by-step explanation:

The coefficient is the number attached to the variable

The variable is the letter

The constant is ta number all on it's own

Answer:

2

Step-by-step explanation:

The coefficient is the number with the variable. The 9 is a constant.

803.84 rounded to the nearest tenth?

Answers

Answer: 800

Step-by-step explanation:

At a customer service call center for a large company, the number of calls received per
hour is normally distributed with a mean of 130 calls and a standard deviation of 10
calls. What is the probability that during a given hour of the day there will be less
than 129 calls, to the nearest thousandth?
Statistics Calculator

Answers

.460Answer:

Step-by-step explanation:

I need help pleasee!!!!

Answers

Answer:

Your answer is c

Step-by-step explanation:

the two inequalities are x =< 1 and x =>2 which is shown by the number line in option c



In one game there are 85 spins.
How many of these spins are expected to be 'Go forward 2 squares'?

Answers

I dont know the question sory

What is the simplified expression for -3(2x-7)+2y+ 2(x+y)?

Answers

Answer:

-4x+42+4y

Step-by-step explanation:

-3(2x-7) + 2y + 2 (x+y)

-6x+42 + 2y + 2x + 2y

Take the same coefficents and subtract or add

-6x + 2x= -4x

2y + 2y= 4y

heeeeeeeeeeeelppppppppppppppppppppppppppppp

Answers

1. The Agent Earned $6,303  

First, the real estate agency will earned 5.5%

5.5/100 * $382,000 = $21,010

Then, the agent earns 30% of $21,010

30/100 * $21,010 = $6,303

2. Basically, we're setting up an equation where Option A and Option B are the same amount.

For option A, you are making 23 dollars each hours, for 40 hours. (40*23)

For option B, you are making 4% of your sales. We're looking for how much she sells, so we can write that as x. (.04x)

Set the 2 options as equal and solve for x.   so x is  920(.04x

sorry if wrong it was really hard

3. If 90% are women, 10% are men.

If x is the total amount of people.

.1x = 320

Solve x from here.

FIANNLY IM DONE

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