MATHEMATICS HIGH SCHOOL

NYS COMMON CORE MATHEMATICS CURRICULUM Lesson 17 Date Name Lesson 17 Solutions Eric's father works two part-time jobs, onc in the morning and one in the afternoon, and works a total of 40 hours each 5-day workweek. If his schedule is the same each day, and he works 3 hours each morning, how many hours does Eric's father work each afternoon?

Answers

Answer 1

Answer:

Answer:

Eric's father work 5 hours each afternoon

Step-by-step explanation:

Let x be the no. of hours Eric's father work each afternoon

He works for hours in morning each day = 3

He works for total hours in morning in 5 days= $3 * 5 = 15$

He works for total hours in afternoon in 5 days=5x

We are given that he works a total of 40 hours each 5-day workweek.

ATQ

15+5x=40

5x=25

x=5

Hence Eric's father work 5 hours each afternoon

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You are running in a 26-mile race. you have run 17 miles so far. what is the ratio of the miles you have left to the total number of miles in the race?

Answers

The ratio of the miles you have left to the total number of miles in the race will be 9 / 26.

What is a ratio?

A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six.

Given that you are running in a 26-mile race. you have run 17 miles so far.

The ratio of the miles you have left to the total number of miles in the race will be calculated as:-

Miles left = 26-17 = 9

Total miles = 26

Ratio = Miles left / Total miles

Ratio = 9 / 26

Therefore, the ratio of the miles you have left to the total number of miles in the race will be 9 / 26.

To know more about ratios follow

brainly.com/question/2328454

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miles left = 26-17 = 9

total miles = 26

So, ratio would be: 9/26

Solve. -1/8c=2
a. 4
b. –16
c. –4
d. 16

Answers

$(-1)/(8c) =2$
This requires that c ≠ 0 , meaning c≠0
$(-1)/(8c) =2$
Multiply by x to eliminate var in denominator
$( \not c*(-1))/( 8 \not c) =c*2$
$(-1)/(8) =c*2$
Common denominator is 8
$(\not 8(-1))/(\not 8) =8c*2$
$-1=8c*2$
$-1=16c$
$x=-16$
The answer is: b. -16

3y+2/4=7 I don't understand this at all

Answers

Don't let the fraction confuse you.

3y + 2/4 = 7

You could multiply each side by 4 to get rid of the fraction:

12y + 2 = 28

Subtract 2 from each side:

12y = 26

Divide each side by 12 :

y = 26/12 or 13/6 or 2 and 1/6

Actually u want to find the value of 'y' step1:rearranging 3y=7-2/4 step2:take LCM and subract 3y=26/4 step3:simplify 3y=13/2 y=13/6

Clayton climbed down 50 meters. he climbed down in 10-meter intervals. in how many intervals did clayton make his climb?

Answers

Answer:

Clayton make his climb in 5 intervals.

Step-by-step explanation

Given: Clayton climbed down 50 meters.

1 interval = 10 meters down

The number of intervals = 50 divided by 10

= $(50)/(10)$

= 5 intervals

Therefore, Clayton make his climb in 5 intervals.

To figure this out, divide 50 metres by 10 metre intervals

50 metres ÷ 10 metre intervals = 5 intervals

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The slope from point O to point A is 4 times the slope of the line from point A to point B.
It is 4 throughout the line.
It is fraction 1 over 4 throughout the line.

Answers

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