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3 years ago

The widths of two similar rectangles are 10 cm and 15 cm. What is the ratio of the perimeters? Of the areas?

1 answer:

6 0

The answer for the question shown above is the las option, which is: D. 2:3 and 4:9.
The explanation is shown below:
1. You have that widths of the two similar rectangles are 10 cm and 15 cm. Therefore:
 ratio=10:15
ratio=2:3
2- So, the ratio of the perimeter is:
ratio of the perimeter= 2:3
3- The ratio of the areas is:
ratio of the areas=2²:3²
ratio of the areas=4:9

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Ms. Lee wrote a test with 15 multiple choice short answer questions. The multiple choice questions x are worth 5 points and the

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x + y = 15 and 5x + 10y = 100 are the system of equations that represent this situation

Solution:

Let "x" be the number of multiple choice questions

Let "y" be the number of short answer questions

Worth of 1 multiple choice questions = 5 points

Worth of 1 short answer question = 10 points

Ms. Lee wrote a test with 15 multiple choice short answer questions

Therefore,

number of multiple choice questions + number of short answer questions = 15

x + y = 15 -------- eqn 1

The maximum number of points possible on the test is 100

Therefore, we frame a equation as:

number of multiple choice questions x Worth of 1 multiple choice questions + number of short answer questions x Worth of 1 short answer question = 100

$x \times 5 + y \times 10=100$

5x + 10y = 100 ------- eqn 2

Thus eqn 1 and eqn 2 are the system of equations that represent this situation

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nirvana33 [79]

Answer:

SAS

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