Find the area of the parallelogram:

She should buy  five sweaters.

A rational consumer would purchase a good as long as marginal benefit is equal or greater than marginal cost.

Marginal cost is the additional cost generated by producing an additional unit of output. Marginal benefit is the benefit derived from consuming one extra unit of a good.

The marginal benefit of the first five sweaters is greater than the marginal cost. Thus, she should buy  five sweaters.

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The monthly cost of 57 minutes calls is $12.55.

The monthly cost is $12.03 for 53 minutes and $ 13.59 for 65 minutes call

Therefore we have two points (53, 12.03) and ( 65, 13.59)

slope = (13.59 - 12.03)/ ( 65 - 53)

          = 1.56/ 12

          = 0.13

The intercept is

y = mx + c

12.03 = 0.13×53 + c

12.03 = 6.89 + c

c = 5.14

Equation:

cost = 0.13(minutes) + 5.14

       = 0.13×57 + 5.14

       = 7.41 + 5.14

       = 12.55

Therefore the monthly cost for 57 minutes is $12.55.

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Answer:

[tex](x-2)^2+(y+2)^2=14[/tex]

Step-by-step explanation:

Equation of a circle

[tex](x-a)^2+(y-b)^2=r^2[/tex]

where:

Given equation:

[tex](x-7)^2+(y-7)^2=7[/tex]

Therefore:

Area of a circle

[tex]\sf A=\pi r^2[/tex]

where:

Therefore, the area of a circle with radius √7 is:

[tex]\implies \sf Area=\pi \left(\sqrt{7}\right)^2=7 \pi\:\:square\:units[/tex]

Therefore, a circle with twice the area would be:

[tex]\implies \sf Area = 2 \cdot 7 \pi = 14 \pi \:\: square\:units[/tex]

Therefore, its radius would be:

[tex]\begin{aligned}\implies \sf \pi r^2 & = \sf14 \pi\\\sf r^2 & = \sf 14\\\sf r & = \sf \sqrt{14}\end{aligned}[/tex]

So the equation of a circle with a center at (2, -2) and a radius of √14 is:

[tex]\implies (x-2)^2+(y-(-2))^2=\left(\sqrt{14}\right)^2[/tex]

[tex]\implies (x-2)^2+(y+2)^2=14[/tex]

Answer:

C

Step-by-step explanation:

0.5 of a mile in 20 minutes

60/20=3

0.5*3=1.5

Correct answer is C

In linear equation , 240 liters of 90% solutions will be used.

What are a definition and an example of a linear equation?

Let x be the quantity of 75% antifreeze solution and y be the quantity of 90% antifreeze solution,

Since, the total quantity of the mixture = 360,

⇒ x + y = 360 ----- (1),

Also, the resultant solution is of  85% antifreeze solution,

⇒ 75 % of x + 90% of y = 85% of 360

0.75x + 0.90y = 0.85 × 360

0.75x + 0.90y = 306

75x + 90y = 30600 -----(2),

Equation (2) - 75 × equation (1),

We get,

15y = 3600

⇒ y = 240

Hence, 240 liters of 90% solutions will be used.

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Answer:

x= 7/ y+6

​

Step-by-step explanation:

Add y to both sides.

7x=6+y

The equation is in standard form.

7x=y+6

Divide both sides by 7.

7

7x = 7/y+6

​Dividing by 7 undoes the multiplication by 7.

Step-by-step explanation:

that's what I think it isx=7/y+6

Answer:

There are no sampling errors, as all numbers add up to 100, however, there is a bias, as the highest number is 52 for movies, and the person who conducted the survey was a movie theater manager to his own customers.

Here are the inequalities:

x ≥ 8

x < 3

x ≤ 3

x ≤ 8

x < 8

x ≥ 3

Here are inequality signs and what they mean:

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

for example :

2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

Steps to interpret an inequality graph :

If the circle above the number is colored, the inequality sign to use is either ≥ or ≤.

If the circle above the number is not colored, the inequality sign to use is either < or >.

If the arrow is pointing to the left, the inequality sign would either be ≤. or <.

If the arrow is pointing to the right, the inequality sign would either be ≥ or >.

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Answer:

6.6 is the answer

Step-by-step explanation:

Hope it helps you

Answer:

=============================

Given 10 letters and we are looking for the number of 10-letter words.

This is about the permutation of 10:

Answer:

8

Step-by-step explanation:

sqrt 58 =7.62   closer to 8 than 7

Answer:

The answer is c because if you multiply 3/5 and 3/10 by doing butterfligt

Jess had a faster speed of 8 miles/hour

Given:

3 miles in 2/5 hour

4/5 miles in 1/10 hour

To find the quotient, we must switch to the inverse approach,

where 2/5 becomes 5/2 and 1/10 becomes 10/1.

For Eli:

A distance of 3 miles is covered in 2/5 of an hour.

3 miles equals 2/5*1

3 miles equals 2/5 hour

The inverse amount is multiplied as

3*5/2 miles = 1 hour.

7.5 miles

Eli moves at a 7.5 mph speed.

For Jess:

1/10 of a mile is covered in 4/5miles.

1/10 * 1 hour times 4/5 miles

1/10 hour equals 4/5 miles.

The inverse number is multiplied as follows: 4/5 * 10/1 = 1 hour.

40 miles at a speed of 5 miles per hour.

1 hour Equals 8 miles

Jess's speed is 8 miles per hour.

Hence, Jess had a faster speed of 8 miles per hour

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-11 is the answer to this question

Answer:-11

Step-by-step explanation:

-15 + 4 = -11

Answer:

C. 63/2

Step-by-step explanation:

[tex] \frac{9}{4} \times 14 \\ = \frac{9}{4} \times \frac{14}{1} \\ = \frac{9 \times 7}{2} = \frac{63}{2} \\ please \: if \: found \: helpful \: rate \: brainliest.[/tex]

The answer is 63/2

I got 100% on the test

I hope this helps!

Proof that this answer is correct and not fake

The volume of blocks is 8n³ cm³ and volume of box is 216 n⁹ cm³.

According to the question we have been given that the

  side length of the cube shaped box = 6n³ cm

  side length of the cube shaped blocks = 2n cm

We need to find the volume of the box and the blocks.

The formula for the volume of cube is

                      V = (s)³ cubic units.

     where, s = side length of the cube

Now putting the required values in the above formula we get

  volume of box = (6n³)³ cm³

                         = 216 n⁹ cm³  

 volume of the blocks = (2n)³ cm³

                                   = 8n³ cm³

Hence the volume of blocks is 8n³ cm³ and volume of box is

216 n⁹ cm³.

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Answer: 21 degrees

Step-by-step explanation:

Since (2x + 9) + 129 = 180, we can get that 2x = 42 and x = 21. Hope this helped!

Answer:

f(-3)= 9(-3)^2+3-2= 9(9)+3-2= 81+1 = 82

Answer:

2^2 × 3 × 5

Step-by-step explanation:

hope this works :)

Answer:

I believe the Answer is C.

Step-by-step explanation:

Answer:

x = { 5; 6; 7}

Step-by-step explanation:

25 ≤ 25 < 36 < 49 < 50

=> x² = {25; 36; 49}

Because x€N => x = {5; 6; 7}

By inspecting the denominator, the values of x cannot be solutions of the rational equation are x₁ = - 3 and x₂ = 2.  

A rational equation is an expression of the P(x) / Q(x), where P(x) and Q(x) are the equations of the numerator and the denominator functions. The rational equation becomes undefined for all x-values such that Q(x) = 0. Then, we must look up for all values of x such that:

x² + x - 6 = 0

x² + [3 + (- 2)] · x - 6 = 0

x² - 2 · x + 3 · x - 6 = 0

x · (x - 2) + 3 · (x - 2) = 0

(x + 3) · (x - 2) = 0

x₁ = - 3 ∨ x₂ = 2

The values of x cannot be solutions of the rational equation are x₁ = - 3 and x₂ = 2.  

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The percentage increase is 103.7%.

Answer:

103.7%

Step-by-step explanation:

Given the following question:

Original price = $1.35
New price = $2.75

Find the percent change. To find the percent change we will use the formula to calculate the percent change of course rounding if needed.

[tex]\frac{np\times op}{op} \times100[/tex]
[tex]\frac{2.75\times1.35}{1.35} \times100[/tex]
[tex]2.75 - 1.35\div1.35\times 100% =[/tex]
[tex]=103.7037037037[/tex]

Round to the nearest tenth:
[tex]103.7037037037[/tex]
[tex]0 < 5[/tex]
[tex]103.7[/tex]

1.35 to 2.75 is a "103.7%" increase.

Hope this helps.

Using linear functions, it is found that they have to buy 8 tickets for the costs to be the same.

A linear function is modeled by:

y = mx + b

In which:

For the functions in this problem, we consider that:

Hence the cost functions for Kiara and Donovon are given, respectively, by:

The costs will be the same when:

K(x) = D(x)

5 + 0.75x = 7 + 0.5x.

0.25x = 2

x = 2/0.25

x = 8.

They have to buy 8 tickets for the costs to be the same.

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The length of the line segment EF is 106.

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Answer:

x=21

Step-by-step explanation:

21*2+25*2=92

Answer:

x < 23

Explanation:

perimeter of a rectangle = 2(length + width)

Here given:

Setting equation:

[tex]\sf \rightarrow 2(x + 4 + x) < 100[/tex]

[tex]\sf \rightarrow 2(2x + 4) < 100[/tex]

[tex]\sf \rightarrow 4x + 8 < 100[/tex]

[tex]\rightarrow \sf 4x < 100 - 8[/tex]

[tex]\sf \rightarrow4x < 92[/tex]

[tex]\sf \rightarrow x < 23[/tex]

Answer: 124 degrees

Step-by-step explanation:

JKL=YKL+JKY

10x+14=6x-6+64

10x+14=6x+58

4x+14=58

4x=44

x=11

JKL=10x+14

JKL=10(11)+14

JKL=110+14

JKL=124 degrees