Cynthia Besch wants to buy a rug for a room that is 29 ft wide and 30 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 756 square feet of carpeting. What dimension should the rug have?

Answer:

B

Step-by-step explanation:

A constant variation graph has the following format:

[tex]y=kx[/tex]

Where k is the constant of proportionality.

Let's pick a point from the graph, say, (1,5).

Substitute 1 for x and 5 for y:

[tex]5=1(k)[/tex]

Simplify:

[tex]5=k[/tex]

Therefore, the constant of proportionality is 5.

And we're done!

Answer:

388in or 202in

Step-by-step explanation:

I decided to connect three copies of this rectangle, all along the right side of the rectangle in the picture above.

When this is done the new length along the bottom and top become 45×4=180.

Now to find the perimeter, 180+180+14+14=388in

Other possibility

Connect the three copies along the top.

Now we need to do 14×4=56, which is the new side length.

Now to find the perimeter, 56+56+45+45=202in

Answer:

50

Step-by-step explanation:

Answer:

[tex]f=-6x+20[/tex]

Step-by-step explanation:

Just solve f(4) = -4(6x - 5) + 60

Point D is the midpoint of points A and E for the given number line.

A number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.

A horizontal number line is the most common representation and can be extended infinitely in any direction.

Given the number lines with labeled points as A, B, C, D, and E.

The midpoint of AE is the mean of AE

Mean of AE ;

(A + E )/ 2 = (- 6 + 8) / 2

2 / 2 = 1 which is point D

Therefore "D" will be the midpoint of A and E.

Hence "Point D is the midpoint of points A and E for the given number line".

To learn more about the number line,

https://brainly.com/question/13189025

#SPJ2

Answer: 1/4 and 0.25

Step-by-step explanation:

Answer:

0.25m & 1/4

This question is incomplete, it is very signficant that the questions are complete.

Step-by-step explanation:

Answer:

{ -2 if x ∈ -4 < x < -3

{ -5 if x ∈ -3 ≤ x < 2

[ 5 if x ∈ 2 ≤ x < 5    

Step-by-step explanation:

From the graph, we have;

{ -2 if x ∈ -4 < x < -3

For the next inequality line at y = -5, we have;

1) The inequality line, starts with an open circle on the left at x = -3, which is equivalent to less than or equal to symbol, ≤ as -3 ≤ x because the point x =-3 is the left boundary.  The inequality line extends to the point x = 2, where we have a closed circle (on the right), which is equivalent to a x ≤ 2 with the 2 on the right hand side because, the 2 is the right boundary of the inequality

2) The inequality can be summarized as starting from x = -3 extends to x = 2

3) As stated in point 1) the point x = 3, we have -3 ≤ x and at point x = 2, we have x ≤ 3 which can be combined as  -3 ≤ x < 2, to give;

{ -5 if x ∈ -3 ≤ x < 2

For the next inequality line at y = 5, we have;

1) The inequality line, starts with an open circle on the left at x = 2, which is equivalent to less than or equal to symbol, ≤ as 2 ≤ x because the point x =2 is the left boundary.  The inequality line extends to the right to reach point x = 5, where we have a closed circle (on the right), which is equivalent to a x ≤ 5 inequality, with the 5 on the right hand side because, the 5 is the right boundary of the inequality

2) The inequality can be summarized as starting from x = 2 extends to x = 5

3) As stated in point 1) the point x = 2, we have 2 ≤ x and at point x = 5, we have x ≤ 5 which can be combined as  2 ≤ x < 5, to give;

[ 5 if x ∈ 2 ≤ x < 5.

Answer:

1st box = [-4, -3]

2nd box = (-3, 2]

3rd box = (2, 5]

For f(x) = -2 we see that x is between -4 to -3 with closed endpoints.

So the interval will be [-4, -3].

For f(x) = -5 we see that x is between -3 to 2 with closed endpoint at 2 and open endpoints at -3.

So the interval will be (-3, 2].

For f(x) = 5 we see that x is between 2 to 5 with open endpoint at 2 and closed endpoint at 5.

So the interval will be (2, 5].

Learn more: https://brainly.com/question/16236436

Answer:

Bionominal

Step-by-step explanation:

Question:

A ____ is a polynominal with two terms.

Answer:

A Bionominal is a polynominal with two terms.

Bionominal is your answer.

Hope this helps!

Answer:

27

Step-by-step explanation:

8+8+(-2x5)-1+22

8+8+(-10)-1+22

16+22-11

27

Answer:

1.22

Step-by-step explanation:

Since there is one whole shaded. And 2 tens, and 2 ones. Its 1.22.

Answer:

1/ 4

Step-by-step explanation:

The question can also be written as [tex]\frac{1}{3} /\frac{4}{3}[/tex] .

Because it's division of fractions, you can multiply to find the answer by making 4/3 into 3/4. So

1/ 3 times 3/4 = 3/12 = 1/4

Answer:

if you're trying to find the quotient then the answer is: 4/9

if you're trying to add then the answer is: 5/3

if you're trying to divide then the answer is: 4/9

if you're trying to multiply then the answer is: 4/9

if you're trying to simplify then the answer is: 4/9

Step-by-step explanation:

Answer: (-1,-2)

Step-by-step explanation: I just did it

Answer:

4

Step-by-step explanation:

6-2 = 4

Answer:

Step-by-step explanation:

[tex]c = 6 \\ a = 2 \\ c - a = [/tex]

Plug in the given values into the equation

[tex]6 - 2 = 4[/tex]

Answer:

The surface area of the star is approximately 1.004 times larger than the earth's surface area

Step-by-step explanation:

To find the number of times b which the area of the star is larger than that of the earth, we will divide the area of the area of the star by the area of the earth.

Area of surface of star = 1015 square miles

Area of surface of the earth = 1011 square miles

∴ (Area of star) ÷ (Area of the earth)

= 1015 ÷ 1011 = 1.00395 times

Therefore the surface area of the star is approximately 1.004 times larger than the earth's surface area

Answer:

The answer is

Step-by-step explanation:

Using the rules of indices.

Since the bases are the same and are dividing we subtract the exponents

That's

So from the question we have

Hope this helps you

Answer:

a/8 or a over 8 hope this helps

Step-by-step explanation:

Answer:

n

8

→

I used

n

as the unknown number

Explanation:

The quotient is the result of division between two numbers.

The quotient of a number (I used

n

) and

8

would be

n

8

Answer:

https://tex.z-dn.net/?f=%5Cunderline%7B0.1875%7D%5C%5C3%3A16%5C%5C%5Cunderline%7B0%7D%5C%5C30%5C%5C%5Cunderline%7B16%7D%5C%5C140%5C%5C%5Cunderline%7B128%7D%5C%5C.%5C%20120%5C%5C%5Cunderline%7B.%5C%20112%7D%5C%5C.%5C%20%5C%2080%5C%5C%5Cunderline%7B.%5C%20%5C%2080%7D%5C%5CR%3D0Step-by-step explanation:

Answer:

number 3 is incorrect the rest are correct

Step-by-step explanation:

kindly see attached picture

hope it helped you:)

Answer:

[tex]\sf \dfrac{{x}^{a \: (b - c)} }{ {x}^{b \: (a - c)} } \: \div \: \bigg \lgroup \dfrac{ {x}^{b} }{ {x}^{a} } \bigg \rgroup^{c} \: = \: 1[/tex]

[tex]\\[/tex]

Now,

[tex]\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \div \: \bigg \lgroup \dfrac{ ({x}^{b} )}{( {x}^{a}) } \bigg \rgroup^{c} \: = \: 1[/tex]

[tex]\\[/tex]

[tex]\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \div \: \dfrac{ {x}^{bc} }{{x}^{ac} } \: = \: 1[/tex]

[tex]\\[/tex]

We know that, When sign change from division to multiplication we should do reciprocal of next number.

Therefore we get,

[tex]\sf \dfrac{{x}^{ab \: - \: ac} }{ {x}^{ba \: - \: b c} } \: \times \: \dfrac{ {x}^{ac} }{{x}^{bc} } \: = \: 1[/tex]

[tex]\\[/tex]

[tex]\sf \dfrac{{x}^{ab \: - \: \cancel {ac }\: + \: \cancel{ac}} }{ {x}^{ba \: - \: \cancel{ b c} \: + \: \cancel{bc}} } \: = \: 1[/tex]

[tex]\\[/tex]

[tex]\sf \dfrac{{x} \: ^{ \cancel{ab}} }{ {x} \: ^{\cancel{ba}} } \: = \: 1[/tex]

[tex]\\[/tex]

[tex] \bigstar \: \: \underline{ \boxed{\sf x \: = \: 1}} \: \: \bigstar[/tex]

[tex]\\[/tex]

[tex] \huge\bf \dag \: \gray{RHS = LHS} \: \dag[/tex]

[tex]\\[/tex]

[tex]\large \star \: \tt Hence, Verified \: \star[/tex]

Answer:

9x+3.45

Step-by-step explanation:

Let's simplify step-by-step.

6x+3(x+1.15)

Distribute:

=6x+(3)(x)+(3)(1.15)

=6x+3x+3.45

Combine Like Terms:

=6x+3x+3.45

=(6x+3x)+(3.45)

=9x+3.45

Answer:

6x+3x+3.45

Step-by-step explanation:9x +3.45

x=3.45/9 ans

Answer:

3.343481472 x 10^4

Step-by-step explanation:

11.6 a = 3.25 *

6.18 * = 2.5 #

Take the first equation and solve for *

11.6 a = 3.25 *

Divide each side by 3.25

11.6 a/3.25 = *

3.569230769 a = *

Substitute this into the second equation for *

6.18  (3.569230769 a)  = 2.5 #

22.05784615 a =  2.5 #

Solve for a

Divide by 22.05784615

a = 2.5 # /  22.05784615

a = .113338355

We have 2.95 x 10 ^5 a

2.95 x 10 ^5  ( .113338355)

33434.81472

Changing to scientific notation

3.343481472 x 10^4

Answer:

The first part/question sounds like a Division problem because theirs 18 guests and each slice feeds 6 people. Therefore, Laura orders 3 boxes of Pizzas. But make sure you try Photomath,V3, or Khan Academy apps before you write down the answer to the first question.

Answer:$1.32

Step-by-step explanation:

Answer: -2

Step-by-step explanation: 2x/2 = -4/2

Answer:

I believe that the answer is c or -9

Step-by-step explanation:

the 3rd option

-8(x+13)=2(x-7)+4x

-8x - 104 = 2x - 14 + 4x

-8x - 104 = 2x + 4x - 14

-8x - 104 = 6x - 14

Answer:

(x+1)²=-1

Step-by-step explanation:

x²-7x=-9x-2

x²+2x+2=0

If you solved this using the quadratic formula, you’d end up with -1+i and -1-i.

but if you subtracted 1 from both sides, you’d have

x²+2x+1=-1

Which is:

(x+1)²=-1

A variable is a letter that represents another number or thing.

Steps to solve:

3x + 6 - x + 82 = 44

~Combine like terms

2x + 88 = 44

~Subtract 88 to both sides

2x = -44

~Divide 2 to both sides

x = -22

Best of Luck!

Answer:

35kg

Step-by-step explanation: