MATHEMATICS MIDDLE SCHOOL

Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3 Polygon Y's area is what fraction of Polygon X's area?

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Answer 1

Answer:

Answer:

1/9. Because the area is measured in units squared, then you have to square 1/3 which is 19th.

Step-by-step explanation:

The area is measured in squared units. You have to square 1/3 which is 1/9. $(1)/(3) ^2= (1)/(3) ((1)/(3))$

Answer 2

Answer:

1/9

Step-by-step explanation:

SideY/sideX = ⅓

AreaY/AreaX = (sideY/sideX)²

= (⅓)²

AreaY/AreaX = 1/9

B. x = -1, x = -3, y = 0

Step-by-step explanation:

$g(x)=(x-2)/(x^2+4x+3)\n\nvertical\ asymptote:\n\nx^2+4x+3=0\nx^2+x+3x+3=0\nx(x+1)+3(x+1)=0\n(x+1)(x+3)=0\iff x+1=0\ \vee\ x+3=0\n\n\boxed{x=-1\ \vee\ x=-3}\n\nhorizontal\ asymptote:\n\n\lim\limits_(x\to\pm\infty)(x-2)/(x^2+4x+3)=\lim\limits_(x\to\pm\infty)(x^2\left((1)/(x)-(2)/(x^2)\right))/(x^2\left(1+(4)/(x)+(3)/(x^2)\right))=\lim\limits_(x\to\pm\infty)((1)/(x)-(2)/(x^2))/(1+(4)/(x)+(3)/(x^2))=(0)/(1)=0\n\n\boxed{y=0}$

The town swimming pool is d feet deep. The width of the pool is 10 feet greater than 5 times the depth. The length of the pool is 25 feet greater than the width. A. Write and simplify an equation to represent the volume of the pool.
B. If the pool holds 51,000 cubic feet of water, what are the dimensions?

Answers

A) The first thing you need to do in order to solve A is to know the formula for volume. It is length*width*depth (The * means that they are multiplied) The next part is to set up the equation in the volume formula. We need to have values for each the length, width, and depth. We know that the depth = d. The width will then be d*5+10. And the length will be d*5+10+25. In order to set up the full volume you will need to multiply each of these 3 equations together and simplify them.

B) Once you have simplified the answer to question A, you will need to set that equation equal to 51,000 ft^3. Then you can solve the problem using algebra to get the value of d. Once you have d you can plug the value into the equations for depth, width, and length to get the dimensions of the pool.

Hope this helped and good luck!

V = (d)(5d+10)(5d+35) which is 25d^3+225d^2+350d or if you factor out, it is 25d (d^2+9d+14 ) which can be further favored to 25d (d+7)(d+2).

How many 1/4 teaspoon doses are in 7/8 teaspoon of medicine

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The correct answer is:

3 1/2.

Explanation:

To find out how many 1/4 tsp doses are in 7/8 tsp of medicine, we divide:

7/8 ÷ 1/4

To divide fractions, flip the second fraction and multiply:

7/8 × 4/1

Multiply straight across:

7/8 × 4/1 = (7×4)/(8×1) = 28/8

To simplify this, we see how many times 8 will divide into 28. It divides evenly 3 times; this is our whole number.

After 8 goes into 28 3 times, there are 4 left over. This is the numerator of our fraction (8 is the denominator):

3 4/8 = 3 1/2

Please help me I don't get it

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For questions

14.) 45 bundles
15.) 63 bundles
16.) 108 bundles

Multiply the bundle by 9

What was the original price if: after 10% discount it becomes $450?

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Answer: Original Price=$450

Step-by-step explanation:

Price post discount=$450

Discount=10%

Let the original price be x

Given x - 10% of x=450

$x-(10)/(100)* x$

$(100x-10x)/(100)$ =450

$(90x)/(100)$ =450

x= $(100*450)/(90)$

On solving

x=500$

The original price =500$

The original price before the 10% discount was about $500.

What is the original price?

To know the original price before the discount, one can use the following formula:

Original Price = Discounted Price / (1 - Discount Percentage)

So, the discounted price is $450, and the discount percentage is 10%.

To calculate the original price:

Original Price = $450 / (1 - 0.10)

= $450 / 0.90

- $500

Therefore, the original price before the 10% discount was about $500.

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The result of the fraction is 3.5

we can calculate this like this:
$(35)/(10) = (5*7)/(2*5) = (7)/(5)=3.5$

I think that the question is asking between which two natural numbers the result lies, and the result is 3 and 4: it's bigger than 3 and smaller than 4

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Polygon Y is a scaled copy of Polygon X using a scale factor of 1/3 Polygon Y's area is what fraction of Polygon X's area?

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B. x = -1, x = -3, y = 0

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What is the original price?

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