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lisabon 2012 [21]
2 years ago
7

4.

Mathematics
1 answer:
Degger [83]2 years ago
6 0

Answer:

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

Step-by-step explanation:

Let

Number of multiple-choice questions = x

Number of open-ended questions = y

x + y = 38 (1)

4x + 20y = 200 (2)

From (1)

x = 38 - y

Substitute x = 38 - y into (2)

4x + 20y = 200

4(38 - y) + 20y = 200

152 - 4y + 20y = 200

- 4y + 20y = 200 - 152

16y = 48

y = 48/16

y = 3

Substitute y = 3 into (1)

x + y = 38

x + 3 = 38

x = 38 - 3

x = 35

Number of multiple-choice questions = x = 35 questions

Number of open-ended questions = y = 3 questions

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The length of a rectangle is 3 yd more than twice the width, and the area of the rectangle is 54 yd?. Find the dimensions of the
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Answer:

The length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.

Step-by-step explanation:

Given that the length of a rectangle is 3 yards more than twice the width, and the area of the rectangle is 54 yards, the following calculation must be performed to find the dimensions of the rectangle, knowing that the area of a rectangle arises from multiplying its base by its height:

2X + 3 + X = 54

3X + 3 = 54

3X = 54 - 3

X = 51/3

X = 17

(17 x 2) + 3 = 37

Therefore, the length of the rectangle is 37 yards, and the width of the rectangle is 17 yards.

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3 years ago
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Step-by-step explanation:

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If f(x) = -(1/x^3) and x takes on successive values from -10 to 0.1 ,
prohojiy [21]
Alright, this one is a little interesting... Let's perform some tests to figure out what is happening:
f(-10) = -(1/(-10)^3) = -(1/-1000) = 1/1000  (positive)
f(-5) = -(1/(-5)^3) = -(1/-125) = 1/125 (positive, bigger than the last one)
f(-1) = -(1/(-1)^3) = -(1/-1) = 1 (positive, bigger than the last one)
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f(0) = -(1/0^3) = undefined!
f(0.1) = -(1/(0.1)^3) = -(1/0.001) = -1/0.001 = -1000 (negative)
f(1) = -(1/1^3) = -(1/1) = -1 (negative, but bigger than last one)

It's a little confusing with the undefined part at x = 0. What I can say is this, it is increasing from -10 up to 0, something weird happens at 0 and it resets, and starts increasing from 0 up to 0.1. 

I guess A would be the best answer?

3 0
3 years ago
In Italy, about 74 of every 100 people use cellular telephones. Write the fraction of cellular phone users in Italy.
mart [117]

Answer:

74/100

Step-by-step explanation:

If you want it simplified it's 37/50

7 0
3 years ago
Read 2 more answers
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