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Allisa [31]
2 years ago
13

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Mathematics
2 answers:
antoniya [11.8K]2 years ago
7 0
We can solve this system using elimination:

(x+y=24)3
3x+5y=100

3x+3y=72
-(3x+5y=100)
0x-2y=-28
y=14

We can then plug this back into one of the original equations:

x+14=24
x=10

We can check our answer by plugging this into both of the original equations:

10+14=24
24=24

3(10) + 5(14)=100
30+70=100
100=100

Therefore, there are 10 3-point questions and 14 5-point questions.

weqwewe [10]2 years ago
5 0

there are 10 3-point questions and 14 5-point questions.

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M(d)=-0.123x^2+148.83x-21.07<br> When will it reach maximum height of 45000 feet
Setler [38]

Answer: time to reach maximum height = 605

Step-by-step explanation:

The expression that relates height with time is

M(d)=-0.123x^2+148.83x-21.07

Where time = x

d = height

The expression is a quadratic equation. If height of the object is plotted against time, the resulting graph is a parabola whose vertex is equal to the maximum height attained by the object. The time, x corresponding to the vertex is the time for it to reach maximum height.

To find x,

x = -b/2a

Where a= 0.123

b = 148.83

x = - 148.83 / -2 × -0.123

x = -148.83 / -0.246

= 605

Substituting x = 605 in the equation,

M(d)=-0.123x^2+148.83x-21.07

d = -0.123 × 605^2 + 148.83×605

= - 45021.075+ 90042.15

= 45020.4

Approximately 45000 feet

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3 years ago
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11

Step-by-step explanation:

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Ksivusya [100]

Answer: 20 cups of grape juice are needed for 8 cups of peach juice.

Step-by-step explanation:

5 times 4 is 20.

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