Graph the image of the figure after a dilation with a scale factor of ½ centered at (4, 8).

What operation makes the statement true; 18 __ (-20) =-2

8090 [49]

Answer:

18-20=-2

Step-by-step explanation:

18-20=-2

18+(-20)=-2

5 0

3 years ago

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Petra was given 12 yards of fabric to make costumes for the school play if each costume requires 1 1/2 yards how many costumes c

solmaris [256]

Petra can make 8 costumes with 12 yards of fabric

<h3><u>Solution:</u></h3>

Given that Petra was given 12 yards of fabric to make costumes for the school play

Each costume requires $1\frac{1}{2}$ yards

<em><u>To find: number of costume Petra can make</u></em>

The number of costume Petra can make is calculated by dividing the total fabric she has by fabric needed for one costume

$\text {number of costume Petra can make }=\frac{\text {total fabric she has }}{\text {fabric needed for one costume }}$

Total fabric she has = 12 yards

Fabric needed for 1 costume = $1\frac{1}{2} = \frac{2 \times 1 + 1}{2} = \frac{3}{2}$ yards

Therefore,

$\text {number of costume Petra can make }=\frac{12}{3 / 2}=\frac{12}{3} \times 2=8$

Thus petra can make 8 costumes with 12 yards of fabric

7 0

3 years ago

Select the point that is a solution to the system of inequalities

Zarrin [17]

<h2>Hello!</h2>

The answer is:

The point that is a solution to the system of inequalities is C(4,2).

To find the point that is a solution to the system of inequalities, we need to evaluate it into the given inequalities. If the point is a solution to the system of inequalities, both inequalities will be satisfied.

We are given the inequalities:

$y\leq 2x-2$

$y\leq x^{2} -3x$

So, substituting the given points into the given inequalities, we have:

- A. (2,1)

Substituting into the first inequality, we have:

$y\leq 2x-2\\\\1\leq 2*(2)-2\\\\1\leq 4-2\\\\1\leq 2$

Substituting into the second inequality, we have:

$y\leq x^{2} -3x$

$1\leq (2)^{2} -3(2)$

$1\leq 4 -6$

$1\leq -2$

Therefore, since 1 is not less or equal to -2, the point A(2,1) is not a solution to the system of inequalities.

- B. (-2,-1)

Substituting into the first inequality, we have:

$y\leq 2x-2\\\\-1\leq (-2)*(2)-2\\\\-1\leq -4-2\\\\-1\leq -6$

Substituting into the second inequality, we have:

$y\leq x^{2} -3x$

$-1\leq (-2)^{2} -3(-2)$

$-1\leq 4 +6$

$-1\leq 10$

Therefore, since -1 is not less or equal to -6, the point B(-2,-1) is not a solution to the system of inequalities.

- C. (4,2)

Substituting into the first inequality, we have:

$y\leq 2x-2\\\\2\leq (4)*(2)-2\\\\2\leq 8-2\\\\2\leq 6$

Substituting into the second inequality, we have:

$y\leq x^{2} -3x$

$2\leq (4)^{2} -3(4)$

$2\leq 16 -12$

$2\leq 4$

Therefore, since 2 is less than 6, and 2 is less than 4, the point B(4,2) is a solution to the system of inequalities.

- D(1,3)

Substituting into the first inequality, we have:

$y\leq 2x-2\\\\3\leq (1)*(2)-2\\\\3\leq 2-2\\\\3\leq 0$

Substituting into the second inequality, we have:

$y\leq x^{2} -3x$

$3\leq (1)^{2} -3(1)$

$3\leq 1 -3$

$3\leq -2$

Therefore, since 3 is not less than 0, and 3 is not less than -2, the point D(1.3) is not a solution to the system of inequalities.

Hence, the point that is a solution to the system of inequalities is C(4,2).

Have a nice day!

6 0

3 years ago

Chris spends $32.64 at the craft store. He buys three yards of fabric at $8.99 per yard and three spoils of thread. What is the

Agata [3.3K]

Answer:

He spent 1.89 for 1 spool of thread

Step-by-step explanation:

1) 8.99 x 3 = 26.97 because He buys three yards of fabric at $8.99 per yard

2) 32.64 - 26.97 = 5.67 because we need to figure out what part of the total was spent on the spool of thread.

3) 5.67 / 3 = 1.89 because he bought three spoils of thread and I want to know the price of one.

3 0

3 years ago

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the silver Town people went to a fancy restaurant after the big event Grammy gave us a $15 tip if the tip was 20% of the cost of

Dvinal [7]

A $15 tip was 20%, so
$15 = .2 \times meal \\ 15 \times 5 = .2(5) \times meal \\ 75 = meal$

5 0

3 years ago

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