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4 years ago

Find the x intercept and y intercept of the graph of the equation. 5x+4y=20

Mathematics

1 answer:

Andrej [43]4 years ago

7 0

5x + 4y = 20

4y = 20 - 5x

y = 20/4 - 5/4x

y = 5 - 5/4x

The x intercept is when y = 0

0 = 5 - 5/4x

5/4x = 5

x = 4.5/5

x = 4

The y intercept is when x = 0

y = 5 - 5/4x

y = 5 - 5/4.0

y = 5

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3 years ago

12.75 is 25% of what number

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3 years ago

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3 years ago

Brown’s time for running a mile in gym class is 9.9 minutes, Ray’s time is 9.47 minutes and Malcolm’s time is 9.76 minutes. Who

GalinKa [24]

Given:

Brown’s time for running a mile in gym class = 9.9 minutes

Ray’s time for running a mile in gym class = 9.47 minutes

Malcolm’s time for running a mile in gym class = 9.76 minutes

To find:

Who ran the mile in less time?

Solution:

It is given that the time taken by Brown, Ray and Malcolm to cover a mile are 9.9 minutes, 9.47 minutes and 9.76 minutes respectively.

9.47 < 9.76 < 9.9

Since, 9.47 minutes is the lowest time, therefore Ray can run a mile in less time.

3 0

3 years ago

Suppose that an insurance company classifies people into one of three classes — good risks, average risks, and bad risks. Their

Dominik [7]

Answer: Our required probability is 0.745.

Step-by-step explanation:

Since we have given that

Probability of getting good risks people = 0.05

Probability of getting average risks people = 0.15

Probability of getting bad risks people = 0.30

Probability of getting good risk accident = 0.2

Probability of getting average risk accident = 0.5

Probability of getting bad risk accident = 0.3

So, Probability of people having accident in a year is given by

$0.05\times 0.2+0.15\times 0.5+0.30\times 0.3\\\\=0.175$

Probability of people either good or average risk given that he\she had no accident is given by

$=\dfrac{0.2\times 0.95+0.5\times 0.85}{1-0.175}\\\\=\dfrac{0.615}{0.825}\\\\=0.745$

Hence, our required probability is 0.745.

3 0

3 years ago