MATHEMATICS
HIGH SCHOOL

Answer:

distance (d) = rate (r) x time (t)

Nell: d = 12(2.5) = 30 miles

Kristen: d = 14(2.5) = 35 miles

Kristen - Nell = distance apart

35 - 30

5

Answer: 5 miles apart

MIDDLE SCHOOL

What's the absolute value of |n-3|=5

I need for the steps to solving the problem shown please.

Answer:

n=8, n=-2

Step-by-step explanation:

|n-3| = 5

n-3 =5 and n - 3 = -5

n-3=5 (add 3 to both sides) n-3=-5 (add 3 to both sides)

n= 8 n=-2

HIGH SCHOOL

In a recent air quality study, there were 64 unhealthy air quality days in City A. This is 4 more than twice the number of unhealthy air quality days in City B. How many unhealthy air quality days were there in City B?

Answer:

The answer to your question is: 30 days

Step-by-step explanation:

City A has 64 unhealthy air quality days this is 4 more than twice the number of unhealthy air quality days in City B.

# unhealthy days in city A = 64

# unhealthy days in city B = B

Equation

64 = 2B + 4

64 -4 = 2B

60 = 2B

B = 30 days

MIDDLE SCHOOL

The number 15.24 is an example of a repeating decimal.

True

False

Repeating decimal means that the numbers after the decimal point are repeating constantly such as 8.3333333.....and so on. Or a number that repeats a pattern forever.

So 15.24 is NOT a repeating decimal because after the decimal point the number 24 is not repeating.

This would make the number a repeating decimal - 15.24242424242424242424...

So 15.24 is NOT a repeating decimal because after the decimal point the number 24 is not repeating.

This would make the number a repeating decimal - 15.24242424242424242424...

HIGH SCHOOL

Find all sets of three consecutive even integers whose sum is between 25 and 45

1st even integer is x,

2d consecutive even integer is x+2,

3d consecutive even integer is x+2+2 = x+4.

Sum is x+ x+2 +x +4 = 3x + 6.

Sum is between 25 and 45, so we can write

25< 3x+6 < 45.

25 -6 < 3x < 45 -6

19 < 3x < 39

19/3 < x < 13

6 1/3 < x < 13

Between 6 1/2 and 13 there are even numbers 8,10,12 , so first even number can be 8, or 10, or 12.

1st set : 8, 10, 12

8+10+12 = 30 25