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siniylev [52]
3 years ago
15

1-5 Skills Practice

Mathematics
1 answer:
Ivahew [28]3 years ago
7 0

Answer:

The least number of questions a student can answer correctly is 32

Step-by-step explanation:

Let

x -----> the number of questions answered correctly

y ----> the  total number of questions on a test

ratio=\frac{x}{y}

we know that

For a student to earn and A or B on a test, the ratio  must be greater than or equal to 0.8

so

\frac{x}{y} \geq 0.8

For y=40 questions

Find the value of x

substitute

\frac{x}{40} \geq 0.8

solve for x

Multiply both sides by 40

x \geq 0.8(40)

x \geq 32

so

The least number of questions a student can answer correctly is 32

<u><em>Verify the ratio</em></u>

For x=32, y=40

\frac{32}{40}=0.8

Compare

0.8 \geq 0.8 ----> is ok

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3 years ago
Two cars are traveling north along a highway. The first drives at 40 mph, and the second, which leaves 3 hours later, travels at
belka [17]

Answer:

Step-by-step explanation:

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              d     =      r     *     t

car1

car2

We can fill in the rates right away:

             d       =      r     *     t

car1                       40

car2                       60

Now it tells us that car 2 leaves 3 hours after car 1, so logically that means that car 1 has been driving 3 hours longer than car 2:

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car1                     40         t + 3

car2                     60           t

Because distance = rate * time, the distances fill in like this:

                   d      =      r      *      t

car1    40(t + 3)    =      40        t+3

car2          60t     =       60         t

Going back to the interpretation of the original question, I am looking to solve for t when the distance of car 1 = the distance of car 2. Therefore,

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40t + 120 = 60t and

120 = 20t so

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3 years ago
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