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Bezzdna [24]
2 years ago
15

The length of a rectangle is 5 cm less than twice the width. The perimeter of the rectangle is 80 cm. Find the dimensions

Mathematics
1 answer:
balandron [24]2 years ago
6 0

Answer:

W=16 2/3

L=28 1/3

Step-by-step explanation:

L=2W-5

80=2W+2L

80=2W+2(2W-5)

80=2W+4W-20

80=6W-20

100=6W

W=16 2/3

L=2(16 2/3)-5

L=33 1/3 -5

L=28 1/3

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3 years ago
Ms. Lee wrote a test with 15 multiple choice short answer questions. The multiple choice questions x are worth 5 points and the
hram777 [196]

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

<em><u>Solution:</u></em>

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

<em><u>Ms. Lee wrote a test with 15 multiple choice short answer questions</u></em>

Therefore,

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

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

<em><u>The maximum number of points possible on the test is 100</u></em>

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

6 0
3 years ago
Find the unknown length y in the following pair of the similar triangles.
yulyashka [42]

Answer:

y = 9.75

Step-by-step explanation:

Since both triangles are said to be similar, the proportion or ratio of the sides of both triangles would be equal.

Therefore, 39/y = 23/5.75 = 35/8.75

Let's find y

39/y = 23/5.75

==>Cross multiply

39*5.75 = 23*y

224.25 = 23y

==>Divide both sides by 23

224.25/23 = y

9.75 = y

y = 9.75

Check:

Thus,

39/9.75 = 23/5.75 = 35/8.75 = 4

Our answer y, which is 9.75, is correct.

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3 years ago
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LuckyWell [14K]

Hey!

Answer:

4/1

Step-by-step explanation:

  • The multiplicative inverse of a number is the reciprocal of it. (a/b → b/a).
  • Basically you divide 1 by the other number. (1 ÷ 1/4 = 4 or 4/1).

Hope This Helps :)

7 0
3 years ago
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A map scale is give as 1:10000
Fynjy0 [20]

Answer:

2km

Step-by-step explanation:

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2 years ago
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