Carpet Company A

c = 1.35y + 100

where c is the cost and y is the number of square yards.

Carpet Company B

This company charges $2.05 per square yard for the carpet and the installation.

Identify the unit rate in dollars per square yard for each carpet company.

Answer:

x=7 and y=2

Step-by-step explanation:

In this case, you want to use elimination

1. multiply the second equation by -1

       5x + 3y = 41

       2x + 3y = 20

turns into

       5x + 3y = 41

       -2x + 3y = 20

2. combine the equations

       3x=21

3. solve for x

3x=21

3x/3=21/3

x=7

4. Now you want to plug x back into the original equation

5x+3y=41

turns into

5(7)+3y=41

5. Then solve for y

35+3y=41

35+3y-35=41-35

3y=6

3y/3=6/3

y=2

6. results

x=7 and y=2

We want to know how much is the price per pound (or unit rate) of ground beef, given that we know the price for Elliot's purchase. We will see that each pound costs $4.75

So we know that (3 + 2/5) lb of ground beef costs $16.15, the cost of a single pound will be given by the quotient between the total cost and the amount purchased, then we need to solve:

[tex]P =\frac{ \$ 16.15}{(3 + 2/5)lb}[/tex]

We can rewrite the denominator as:

(3 + 2/5)lb = (15/5 + 2/5)lb = (17/5) lb

Replacing that we get:

[tex]P =\frac{ \$ 16.15}{(17/5)lb} = \frac{ \$ 16.15*5}{17lb} = \$4.75 \ per \ lb[/tex]

So each pound of ground beef costs $4.75

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Answer:

Left 3, top 2.4, right 3.6, bottom 4. Scale factor 5

Step-by-step explanation:

Answer:

375.5 combined

Step-by-step explanation:

The cost of the dryer is: (825-74)÷2 =375.5 (combined)

Answer:

[tex]\frac{x}{y} =\frac{9a^2}{b^2}[/tex]

Step-by-step explanation:

[tex]\frac{x}{y} :\frac{3a}{b} =\frac{3a}{b}; \ => \ \frac{x}{y} :\frac{3a}{b} *\frac{3a}{b} =\frac{3a}{b} *\frac{3a}{b}; \ => \ \frac{x}{y}=\frac{9a^2}{b^2}.[/tex]

Answer:

D. x/y = 9a^2/b^2

Step-by-step explanation:

Answer:

1: Yes, because 20 divided by 5 is 4, meaning that he would have 16 dollars left

2: They are at each exibit for 51 min

Hope this helps: :)

Answer:

The answer is 6.79 dollars

Step-by-step explanation:

The answer is 6.79 dollars because 5 times 1 (she bought 5 eggs for 1 dollar each) + the added basket 1.79 equals $6.79

Answer: a. y=3      slope = 0

b. x=-4 slope does not exist

Step-by-step explanation:

Answer:

6 is the answer for the question

The sum of the given series can be found by simplification of the number

of terms in the series.

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

Therefore, for the last term we have;

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

[tex]\displaystyle \frac{A}{2} = \mathbf{ 1011 \cdot \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460} \right)}[/tex]

[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2} +\frac{1}{2} - \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022} \right)[/tex]

Which gives;

[tex]\displaystyle \frac{A}{2} = 1011 \cdot \left(1 - \frac{1}{2022} \right)[/tex]

[tex]\displaystyle A = 2 \times 1011 \cdot \left(1 - \frac{1}{2022} \right) = \frac{1032231}{511} \approx \mathbf{2020.022}[/tex]

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A is equal to 1,685.00049.

Given that A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021, the following calculation must be performed to determine the result of this operation:

Therefore, A is equal to 1,685.00049.

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Answer:

9 is the answer, wanna know how?

Step by Step explanation : So you do this and that equals 9.

Answer:

10 + 11 = 21

12 + 1 = 13

10 + 10 =20

20 + 29 = 49

Hope that helps. x

Answer:

He is correct

Step-by-step explanation:

72 girls and 84 boys

Divide both numbers by 12

6 : 7

He is correct

Jerod says that the ratio of girls to boys is 6:7 is correct.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that in the sixth grade there are 84 boys and 72 girls

Jerod says that the ratio of girls to boys is 6:7

We need to check whether Jerod statement is correct or incorrect

Now the number of boys=84

The number of girls=72

Now divide the number of girls by number of boys

72/84

6/7

So Jerod statement is true

Hence, Jerod says that the ratio of girls to boys is 6:7 is correct.

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Answer:

  y = 4/3x +8/3

Step-by-step explanation:

The point-slope form is ...

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

For the given point and slope, this is ...

  y -4 = 4/3(x -1)

Adding 4 and eliminating parentheses, you have ...

  y = 4/3x -4/3 +4

  y = 4/3x +8/3

Answer:

The interest is: $120.00 +2000

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Money invested in stock or something else has the potential to grow exponentially (at the risk of losing most of it) vs money in the bank will grow very slowly and may not even keep up with inflation making it worth less than it used to be.

Answer:

32+[tex]\sqrt{200}[/tex]

Step-by-step explanation:

First - one side is 10m and other one is 16, so adding this 26m

Second-hypotenuse is sqrt of 10*10+10*10.

Third-  Remainder is 16-10 because  that is isosceles triangular.

Answer:

Percent change in the price of gas is [tex]9.85\%[/tex]

Step-by-step explanation:

Percentage change equals the change in value divided by the absolute value of the original value, multiplied by  .

[tex]\text { Percentage Change }=\frac{\Delta V}{\left|V_{1}\right|} \times 100[/tex]

Here

[tex]\Delta V=2.26-2.03\\\\=0.23\$/gallon[/tex]

[tex]V_{1}=2.03\$/gallon[/tex]

The percent change in the price of gas

[tex]=\frac{0.23}{2.03} \times100\\\\=9.85\%[/tex]

Percent change in the price of gas is [tex]9.85\%[/tex]

Answer:

[tex]\frac{1}{y^{3} }[/tex]

Step-by-step explanation:

A

Step-by-step explanation:

the origin, (0, 0)

For center of dilation Q, the image of a point A after dilation by a factor of k is ...   A' = kA + (k-1)Q Then for points A, A', and dilation factor k, the center of dilation can be found to be ...   (A' -kA)/(k-1) = Q

Here, that is ...   Q = ((-2, -2) -(1/2)(-4, -4))/(1/2 -1) = (0, 0)/(-1/2)  

Q = (0, 0) 

Answer:

Answer:

Step-by-step explanation:

Step-by-step explanation:

Answer:

51.5

Step-by-step explanation:

8000/1000=8

8x1.3=10.4

61.9-10.4

Answer:

Diagonal and horizontal lines

Step-by-step explanation:

To answer this question it is first important to know what a function is. A function is a relationship that has a singular y value for each x-value. This means that x-values will never repeat.

Linear functions are functions that increase in a constant way. Meaning that the slope of the line is constant and there is a common difference between the points. Because the change is constant, there is no change in direction. Thus, the function will be one straight line.

This line can obviously be diagonal because a diagonal line has unique x and y values. However, the line can also be horizontal. Horizontal lines many have repeating y-values but because the x-values don't repeat it is still a function. This reason is also why vertical lines are the only straight line to not be a liner function. In vertical lines, the x-values repeat. So, it does not work as a function.

Answer:

Step-by-step explanation:

X/8 = 5

X = 40

Adding 1 to the largest number (or any other of the numbers, for that matter) makes the sum 41 and the average 41/8 or 5 1/8.

The average of a given number is the sum of the given numbers divided by the number of numbers in the given set.

The resulting average of the eight numbers after adding 1 to the largest number is 5.125.

It is the average value of the set given.

It is calculated as:

Mean = Sum of all the values of the set given / Number of values in the set

Example:

2, 3, 4, 5

The average number of 1, 2, 4, and 5 is 3.

i.e 12 ÷ 4 = 3

We have,

The average of eight different numbers is 5.

Let the sum of 8 different numbers be M.

Average = M / 8

5 = M / 8

M = 8 x 5

M = 40

Now,

If 1 is added to the largest number.

This means,

40 + 1 = 41

The resulting average of the eight numbers:

= 41/8

= 5.125

Thus,

The resulting average of the eight numbers after adding 1 to the largest number is 5.125.

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Answer:

I think it is 249 for the first one and the second one i dont know sorry

Step-by-step explanation:

Answer:

1. 1[tex]\frac{1}{2}[/tex]

2. 1[tex]\frac{3}{10}[/tex]

3. [tex]\frac{1}{3}[/tex]

4. 1[tex]\frac{2}{7}[/tex]

Step-by-step explanation:

I hope this helps!!

Answer:

m ≥ 1229

Step-by-step explanation:

Use m for the number of minutes

30 + 0.05×m ≥ 91.45

0.05*m ≥ 91.45-30

0.05*m ≥ 61.45

m ≥ 1229