11. Together, Andy and Ben can re-roof a certain house in six days. When Ben works alone, it takes him 9 days longer than when Andy works by himself. How long does it take each person to re-roof the same house independently?​

Answers

Answer 1

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Related Questions

What is the solution to this system?
2x + 6y = -2

5x - 3y = 31

Answers

Answer:

2x+6y=-2 x is -3y-1 and 5x-3y=31 x is 3y+31/5

Step-by-step explanation:

5x−3y=31

Add 3y to both sides.

5x=31+3y

The equation is in standard form.

5x=3y+31

Divide both sides by 5.

5

5x =  5

3y+31

​Dividing by 5 undoes the multiplication by 5.

x=  5

3y+31

If a rectangle has length x and width x+3, what is the perimeter of the rectangle in terms of x?

Answers

Answer:

[tex]4x+6[/tex] units

Step-by-step explanation:

Skills needed to solve: Order of Operations, Distributive Property, Perimeter Formula, Like Terms

1) To solve this problem, you need to understand the perimeter formula, and that is:

--> [tex]P = 2(L+W)[/tex]

P = Perimeter

L = Length

W = Width

2) Based on that, we are given that:

[tex]L = x[/tex] (since the length is x)

[tex]W = x+3[/tex] (since the width is x+3)

3) After that, we substitute in the values:

[tex]P = 2(L+W)[/tex]

[tex]P = 2(x+(x+3))[/tex]

[tex]x + (x+3) = x+x+3 = 2x+3[/tex] (with like terms and addition)

so: [tex]P=2(2x+3)[/tex]

Use distributive property, which is [tex]a(b+c) = ab+ac[/tex]

get: [tex]2(2x+3) = 2(2x) + 2(3)[/tex]

[tex]2(2x) = 4x[/tex]

[tex]2(3) = 6[/tex]

So: [tex]P = 4x+6[/tex]

Hope this helps and have a nice day!! :) :]

Solve 7x – 9 = 28 + 4(x – 1).

Answers

7x - 9 = 28 + 4x - 4
7x - 4x = 28 - 4 + 9
3x = 33
x = 11

given that f(x)=2x-5, find the value of x that makes f(x)=15

Answers

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 5

f(x) = 15

Step 2: Solve for x

Substitute in f(x) [Function]:                                                                             15 = 2x - 5[Addition Property of Equality] Add 5 on both sides:                                    20 = 2x[Division Property of Equality] Divide 2 on both sides:                                  10 = xRewrite:                                                                                                             x = 10

Solve for x in the equation 4 = 32x.
*

Answers

Answer:

Your answer is in the Step by Step

Step-by-step explanation:

4=32x

We move all terms to the left:

4-(32x)=0

We move all terms containing x to the left, all other terms to the right

-32x=-4 x=-4/-32 x=1/8

Answer:

the answer is x=1/8

in the decimal form, it's x=0.125

Step-by-step explanation:

isolate the variable by dividing each side by a factor that doesn't contain the variable

hope this helps.

may I  please get a brainliest:)

What is the slope of a line parallel to the line whose equation is 4x-y=-4

Answers

Answer:

-y= -4x -4

y= 4x +4

slope is 4

Step-by-step explanation:

Please helpppp!!!! Thanks

Answers

Answer:

I think it would be the first choice however I may be wrong

Step-by-step explanation:

.A boat can travel 280 miles on 56
gallons of gasoline. How much
gasoline will it need to go 110 miles

Answers

Answer:

22 gallons

Step-by-step explanation:

280 miles / 56 gallons = 5 miles per gallon

110 miles/5 mpg = 22 gallons

As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft
costs $100 to rent and each small raft costs $40 to rent. You have $1,600 to spend. Write and
solve a linear equation to find the number of small rafts you can rent if you rent 12 large rafts.

Answers

Answer:

10 small rafts

Step-by-step explanation:

(1600- 1200) / 40 = 10

1600- 1200 = 400

400 / 40 = 10

12 large rafts costs $1200 so subtract that amount from you budget. If you do that you will have $400 left. So I divided $400 by the amount of money each small raft cost whitch was $40 per small raft so i got the quotient of 10.

Sorry if i worded that weirdly but you get the point.

P.s sorry if it isn't comlety correct but i did my best so... ya

If computers sell for $1020 per unit and hard drives sell for $118 per unit, the revenue from x computers and y hard drives can be represented by

Answers

Answer:

Revenue = 1020x  +  118y

Step-by-step explanation:

Revenue = 1020x  +  118y

This is an important question to understand. You will use it very shortly when you try and solve 2 equations with 2 unknown. Just to show you what that means, Suppose the revenue is

Revenue = 5808

and 11 items total were sold

x + y = 11                          Total number of items sold

1020x + 118y= 5808        Revenue

is the kind of problem you will be solving.

Step-by-step explanation:

a computer sell for $1020

x computer will sell for $1020x

a hard drive sell for $118

y hard drive will sell for $118y

The revenue equals $1020x + $118y

You measure the sides of a pool and find that it is 20 yards wide and 60 yards long.
30 points!
Approximately, how far would it be diagonally between corners of the pool?

63 yards
55 yards
67 yards
72 yards

Answers

Answer:

63

Step-by-step explanation:

Answer: 63

Step-by-step explanation:

Triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.
What length of segment A'B?

Answers

The length of segment A'B' from the triangle A'B'C' is 6 units.

Given that, triangle A'B'C' is the image of ABC under a dilation with a scale factor of 2.

In the given triangle ABC, AB=3 units

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

2=Dimensions of the new shape/3

Dimensions of the new shape=6 units

Therefore, the length of segment A'B' from the triangle A'B'C' is 6 units.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ1

Please help this is times

Answers

skskskssks no penguins

I really need this please​

Answers

[tex](2^{\frac{1}{2}})^n=\frac{2^x}{2^{3y}}\\2^{\frac{1}{2}n}=2^{x-3y}\\\frac{n}{2}=x-3y\\n=2x-6y[/tex]

im super confused pls help

Answers

The distance between the two cities is 30 miles because .5 inch = 15 miles for 1 inch is 30 miles

Pls answer correctly I’ll give you brainliest

Answers

Answer:

y=-3/4x-5

Step-by-step explanation:

m=y2-y1/x2-x1

m=1-(-5)/-8-0

m=1+5/-8

m=6/-8

m=-3/4

y-y1=m(x-x1)

y-(-5)=-3/4(x-0)

y+5=-3/4x

y=-3/4x-5

giving brainliest !! *easy*

Answers

Answer:

332.5º

Step-by-step explanation:

To convert radians to degrees, you multiply the radians by 180/π.

133π/72 • 180/π

We can see that the π's will cancel out. Therefore, we have:

133/72 • 180

Multiply.

133/72 • 180 = 23940/72

Simplify.

665/2 = 332.5

Your answer is:

332.5º

Hope this helps!

Answer:

332.5 º is the answer

Step-by-step explanation:

...

Which table of values is defined by the function y = 5x + 4?​

Answers

Answer:

Graph using a table of values.

x      y

-2    -6

-1      -1

0       4

1         9

2       14

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hey niy

Which of the following is NOT a linear factor of the polynomial function?
f (x) = x^3 – 5x^2 - 4x + 20
F. (x + 5)
G. (x - 2)
H. (x - 5)
J. (x + 2)

Answers

Answer:

Among the four choices, [tex](x + 5)[/tex] is the only one that is not a linear factor of this polynomial function.

Step-by-step explanation:

Let [tex]a[/tex] denote some constant. A linear factor of the form [tex](x - a)[/tex] is a factor of a polynomial [tex]f(x)[/tex] if and only if [tex]f(a) = 0[/tex] (that is: replacing all [tex]x[/tex] in the polynomial [tex]f(x) \![/tex] with the constant [tex]a\![/tex] would give this polynomial a value of [tex]0[/tex].)

For example, in the second linear factor [tex](x - 2)[/tex], the value of the constant is [tex]a = 2[/tex]. Verify that the value of [tex]f(2)[/tex] is indeed [tex]0[/tex]. (In other words, replacing all [tex]x[/tex] in the polynomial [tex]f(x) \![/tex] with the constant [tex]2[/tex] should give this polynomial a value of [tex]0\![/tex].)

[tex]\begin{aligned}f(2) &= 2^3 - 5\times 2^2 - 4 \times 2 + 20 \\ &= 8 - 20 - 8 + 20 \\ &= 0 \end{aligned}[/tex].

Hence, [tex](x - 2)[/tex] is indeed a linear factor of polynomial [tex]f(x)[/tex].

Similarly, it could be verified that [tex](x - 5)[/tex] and [tex](x + 2)[/tex] are also linear factors of this polynomial function.

Rewrite the first linear factor [tex](x + 5)[/tex] in the form [tex](x - a)[/tex] for some constant [tex]a[/tex]: [tex](x + 5) = (x - (-5))[/tex], where [tex]a = -5[/tex].

Calculate the value of [tex]f(5)[/tex].

[tex]\begin{aligned}f(5) &= (-5)^3 - 5\times (-5)^2 - 4 \times (-5) + 20 \\ &= (-125) - 125 + 20 + 20 \\ &= -210\end{aligned}[/tex].

[tex]f(5) \ne 0[/tex] implies that [tex](x - (-5))[/tex] (which is equivalent to [tex](x + 5)[/tex]) isn't a linear factor of this polynomial function.

how do you simplify the fraction 5/4?​

Answers

Answer:

1 1/4

Hope this helps

Answer: I think the answer is 1 1/4

Step-by-step explanation:

You had a bag of fruit snacks that you shared with 4 friends. Each of you got 175 or fewer fruit snacks. The inequality x÷4≤175 models this situation. Solve the inequality to find the number of fruit snacks that were in the bag.

Answers

ANSWER: x less than or equal to (<_) 700

Answer:

Step-by-step explanation:

It’s 20

Find the volume of the cone th=20 in and r=8 in. Solve in terms of pi and round off the decimal to the
nearest tenths.

Answers

Answer:

426.7pi

Step-by-step explanation:

V = 1/3 pi r2h

1/3 × 22/7× 8 × 8 × 20

426.7 pi

The mean electrix bill for family C is approximately: $33., $21., $28., and $25. greater than the mean electric bill for family A. This difference is about 2 1/2 times, 3 1/2 times, 2 times, or 1 1/2 times. (part A: choices r $33, $21, $28, & $25. Part B: choices r 2 1/2, 3 1/2, twice, or 1 1/2 times. I still need the answer as well. mean of family C electric bill is $1,339.60 and family A: $943.00. )​

Answers

4,003 is the correct answer sorry. If I have it wrong 943.000

Find the volume of the composite figure. First, find the volume of the triangular prism. Triangular prism Volume = [?] ft 8 ft Rectangular prism Volume = [ ] ft 10 ft Total Volume of Composite Figure = [ ] ft 14 ft 10 ft​

Answers

Answer:

1440ft^3

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

i already did it

What is the correct answer?

Answers

Answer:

The point moves 3 units down and 3 units to the right

Step-by-step explanation:

3 units down 3 units to the right

A real estate agent has 17 properties that she shows. She feels that there is a 50% chance of selling any one property during a week. The chance of selling any one property is independent of selling another property. Compute the probability of selling less than 3 properties in one week. Round your answer to four decimal places.

Answers

Answer:

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either they are sold, or they are not. The chance of selling any one property is independent of selling another property. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

A real estate agent has 17 properties that she shows.

This means that [tex]n = 17[/tex]

She feels that there is a 50% chance of selling any one property during a week.

This means that [tex]p = 0.5[/tex]

Compute the probability of selling less than 3 properties in one week.

This is

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{17,0}.(0.5)^{0}.(0.5)^{17} \approx 0[/tex]

[tex]P(X = 1) = C_{17,1}.(0.5)^{1}.(0.5)^{16} = 0.0001[/tex]

[tex]P(X = 2) = C_{17,2}.(0.5)^{2}.(0.5)^{15} = 0.0010[/tex]

[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0 + 0.0001 + 0.0010 = 0.0011[/tex]

0.0011 = 0.11% probability of selling less than 3 properties in one week.

Judy bought a hat for $44.67 and sunglasses for $110.76 with her credit card. Judy has $89.35 in her checking account. How much money does she need to put in her checking account so she can pay her credit card at the end of the month?​

Answers

Answer:

$66.08

Step-by-step explanation:

Judy bought two things, a hat and sunglasses. So, the total money spent is:

$44.67 + $110.76 = $155.43

She has $89.35 in her checking account and spent $155.43 on the two items.

So that means she spent more than she has in the account. To find how much she needs to put in her checking account, we're going to subtract how much money she spent and how much she has in her account.

$89.35 - $155.43 = -$66.08

Therefore, she needs to put in $66.08 into her account to pay off her debt at the end of the month.

Please give me the correct answer​

Answers

Answer:

m∠4 = m∠1 + m∠3

Step-by-step explanation:

The measure of an exterior angle of a triangle is equal to the sum of its two opposite interior angles

Now, examining the given triangle, we can note that:

∠4 is an exterior angle

∠1 and ∠3 are its two opposite interior angles

Based on the givens and the above theorem, we can conclude that:

m∠4 = m∠1 + m∠3

Hope this helps :)

Answer:

her answer is correct please

2/5 times 20 can you please help

Answers

Answer:

8

Step-by-step explanation:

The answer is 8 multiple

Hope it helps

Joe has four birthday cakes to share between his 24 guests joe doesn't eat cake , but wants to cut them up so that each guest gets an equal piece what fraction is each piece of cake

Answers

He should cut each cake into 6 slices.
24/4=6

The fraction of each piece of a cake is 1/6.

Given that, Joe has four birthday cakes to share with his 24 guests joe doesn't eat cake.

We need to find what fraction is each piece of cake.

What are fractions?

A fraction represents a part of a whole or, more generally, any number of equal parts. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.

Now, 4 cakes are shared among 24 guests.

So, 24/4=6

Thus, each cake needs to divide into 6 slices.

Therefore, the fraction of each piece of a cake is 1/6.

To learn more about the fractions visit:

https://brainly.com/question/1301963.

#SPJ2

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