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?​

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

​

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.

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.

Answer:

-y= -4x -4

y= 4x +4

slope is 4

Step-by-step explanation:

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

Answer:

426.7pi

Step-by-step explanation:

V = 1/3 pi r2h

1/3 × 22/7× 8 × 8 × 20

426.7 pi

Answer:

8

Step-by-step explanation:

The answer is 8 multiple

Hope it helps

Answer:

22 gallons

Step-by-step explanation:

280 miles / 56 gallons = 5 miles per gallon

110 miles/5 mpg = 22 gallons

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:)

Answer:

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

Step-by-step explanation:

Answer:

63

Step-by-step explanation:

Answer: 63

Step-by-step explanation:

[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]

Answer:

Step-by-step explanation:

It’s 20

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!! :) :]

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

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

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

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

Answer:

1 1/4

Hope this helps

Answer: I think the answer is 1 1/4

Step-by-step explanation:

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 2x - 5

f(x) = 15

Step 2: Solve for x

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

Answer:

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

Step-by-step explanation:

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:

...

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.

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

Answer:

1440ft^3

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

i already did it

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.