Is the ordered pair (4, 20) a solution to the equation y = 5x? If yes, is it the only solution?A. Yes, and it is the only ordered pair that fits the equation. B. Yes, but it is not the only solution to the equation. C. No, because the ordered pair does not fit the equation.

Answers

Answer 1

Answer: The answer is yes, it is an answer. Plug in the values. The x comes first and y is second in the order pair. 5*4=20
Now, no, it is not the only answer. There are infinitely many solutions. Any value can be x, y is just 5 times larger.
So the answer is B, hope this helps!

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What is 2 1/3 + 1 3/4 in the simplest form

Answers

49/12 is your answer.

2 1/3 + 1 3/4
Convert the mixed numbers into improper fractions
7/3 + 7/4
Multiply until both fractions have the same common denominator
28/12 + 21/12
Add the numerators but NOT the denominators
Final Answer: 49/12 or 4 1/12 *Both answers are equivalent to each other.

When a rectangle is dilated, how do the perimeter and area of the rectangle change?

Answers

A transformation of a figure in which all of the dimensions of the figure are multiplied by the same scale factor is called a dilation.

Effect of Dilation on Perimeter

Whenever a figure is dilated by a scale factor, the perimeter of the figure changes according to the same scale factor.

Effect of Dilation on Area

When a figure is dilated by a scale factor of $(a)/(b)$ , the area of the figure is dilated by a scale factor of $(a^(2))/(b^(2))$

Example-

Lets imagine a rectangle with length 10 cm and width 8 cm

So area becomes = 10*8 = 80 square cm

Lets suppose the rectangle is reduced by a scale factor of $(1)/(2)$ to produce a new rectangle.

So we will find the square of scale factor = $((1)/(2))^(2)=(1)/(4)$

Now to find the area of the new rectangle(dilated one) we will multiply the area of the original rectangle by 1/4

= $80*(1)/(4)=20$

Hence, area becomes 20 square cm.

A storage tank holds 235,500 in3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical containers, each with a radius of 5 in. What is the height of the cylindrical containers? Use 3.14 to approximate pi.

Answers

Divide 235.500 by 25 containers = 9420 in^3 per small container

Volume of a cylinder: Pi*(radio)^2*height = 3.14*(2.5in)^2*height = 9420 in^3

Then height = 9420 in^3/(3.14*6.25in^2) = 480 in.

Answer: 480 in.

Find the domain of the function.
f(x) = x² - 9x - 15
What is the domain off?

Answers

The domain of the function is all real numbers because it is a quadratic equation

The table below shows the number of marbles of different colors in a bag:Marble Experiment

Color of
Marbles

Number of
Marbles

Red

5

White

8

Black

2

Deja draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing red marbles in both the trials?

5 over 15 multiplied by 4 over 14
5 over 15 multiplied by 4 over 15
5 over 15 added to 4 over 14
5 over 15 added to 4 over 15

Vincent is giving cakes to some children at a carnival. He has 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. If Vincent selects a cake randomly without looking, what is the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child?

6 over 15 multiplied by 2 over 14 is equal to 12 over 210
6 over 15 plus 2 over 14 is equal to 114 over 210
6 over 15 multiplied by 2 over 15 is equal to 12 over 225
6 over 15 plus 2 over 15 is equal to 8 over 15

Answers

There are a total of 5+8+2=15 marbles. There's a 5/15 chance of drawing a red marble in the first trial. Then, there are 4 red marbles and 14 total marbles left, so afterwards, there's a probability of 4/14 that the second marble is red. The probability overall is found by multiplying these together, so the first answer is the best.

There are 2+6+7=15 cakes. There's a 6/15 chance that the first cake selected will be a pineapple cake, and then a 2/14 chance that the second cake selected will be a strawberry cake, by the same logic as above. This is equal to 12/210. The first answer is the best option.

Place value of 0 1 4 3 6 9 in 987,164.302

Answers

0 is in the hundredths place
1 is in the hundreds place
4 is in the ones place
3 is in the tenths place
6 is in the tens place
9 is in the hundred-thousands place

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