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liberstina [14]
3 years ago
12

A science test has multiple choice questions and short answer questions. Each multiple choice question is worth 2 points and eac

h short answer is worth 5 points. Write an equation to represent the total points possible for the test.
Mathematics
1 answer:
Virty [35]3 years ago
3 0

Answer:

Step-by-step explanation:

Let x represent the number of multiple choice questions in the science test.

Let y represent the number of short answer questions in the science test.

Each multiple choice question is worth 2 points and each short answer is worth 5 points. This means that x multiple choice questions would be worth 2x points and y short answer questions would be worth 5y points

Therefore, an equation to represent the total points possible for the test would be

2x + 5y

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Use slopes and y-intercepts to determine if the lines 6x+y=−1 and −2x−5y=1 are parallel.
kobusy [5.1K]

Answer:

The two lines are not parallel.

Step-by-step explanation:

Every linear equation follows this structure:

y = mx + b

y is the y value

x is the x value

m is the gradient/slope of the line

b (or sometimes c) is the y-intercept of the line

Firstly, we have to get the y term on one side by itself.

6x + y = -1

-6x        -6x

y = -6x - 1

-2x -5y = 1

+2x         +2x

-5y = 2x + 1

Secondly, we make it so the y term is just the y value.

The first equation is already like this, so we don't need to do anything to that.

-5y = 2x + 1

÷ -5  ÷ -5

y = (2x + 1) / -5

This can be expanded and simplified to:

y = -2/5x - 1/5

Thirdly, we have to compare the slopes and y-intercepts.

y = -6x - 1

y = 2/5x - 1/5

If the slopes are the same and the y-intercepts are different, they are parallel. However, the slopes are different, therefore they are not parallel.

7 0
3 years ago
Solve this inequality. 7.2-3w<4.5
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Answer:

w>0.9

Step-by-step explanation:

7.2-3w<4.5

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-3w<-2.7

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w>0.9

The inequality switches when divided by a negative.

-hope it helps

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Step-by-step explanation:

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Step-by-step explanation:

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Answer: 21/56

Step-by-step explanation:

You multiply the numerators together, 3•7 equalling 21.

Then you multiply the denominators together, 7•8 equalling 56.

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