MATH SOLVE

4 months ago

Q:
# Please answer these questions ASAP!! Brainliest gets 30 points!1) What number exceeds y by 4 less than x?2) In a 3-digit number, the hundreds digit is four more than the ones digit and the tens digit is twice the hundreds digit. If the sum of the digits is 12, find the three digits. Find the number.3) An employee earns $195 for 15 hours work. Assuming he is paid by the hour, how much will this employee earn in 8 hours?4) It takes 15 electricians 24 days to wire a new housing subdivision. How many days would 18 electricians take to do the same job, assuming all electricians work at the same pace?5) If you sleep 8 hours out of 24 hours, what percent of the time do you sleep?Please help!!!

Accepted Solution

A:

Hey there :)

1) What number exceeds y by ( 4 less than a number )

↓ ↓ ↓ Let r represent the number

< y r - 4

Therefore, y < r - 4 will be your answer

2) I have answered this in the previous question :)

Hundreds = ( 4 + p ) Tens = 2 ( 4 + p ) Ones = p

Total sumof 3 digits = 12

( 4 + p ) + 2 ( 4 + p ) + p = 12

4 + p + 8 + 2p + p = 12

Combine like terms

12 + 4p = 12

4p = 0

p = 0

The number is: 480

Hundreds = 4 + 0 = 4

Tens = 2 ( 4 + 0 ) = 8

Ones = 0

3) $195 for 15 hours

How much for 8 hours?

Let r represent the price to be found

Let us set up a ratio

195 : 15

r : 8

↓ Cross Multiply

195 × 8 = 15 × r

1560 = 15r

Divide by 15 to isolate r[tex] \frac{1560}{15} = \frac{15r}{15} [/tex]

r = $104

He will receive $104 if he works for 8 hours

4) 15 electricians → 24 days to wire

18 electricians → x days to wire

Workers 1 × Days 1 = Workers 2 × Days 2

15 × 24 = 18 × x

360 = 18x

Divide by 18 to isolate x

[tex] \frac{360}{18} = \frac{18x}{18} [/tex]

x = 20

It takes 18 electricians 20 days to do the same job

5) If you sleep 8 hours out of 24 hours, what is the percentage?

[tex] \frac{8}{24} [/tex] × 100 = 33.3%

You sleep 33% of the day

1) What number exceeds y by ( 4 less than a number )

↓ ↓ ↓ Let r represent the number

< y r - 4

Therefore, y < r - 4 will be your answer

2) I have answered this in the previous question :)

Hundreds = ( 4 + p ) Tens = 2 ( 4 + p ) Ones = p

Total sumof 3 digits = 12

( 4 + p ) + 2 ( 4 + p ) + p = 12

4 + p + 8 + 2p + p = 12

Combine like terms

12 + 4p = 12

4p = 0

p = 0

The number is: 480

Hundreds = 4 + 0 = 4

Tens = 2 ( 4 + 0 ) = 8

Ones = 0

3) $195 for 15 hours

How much for 8 hours?

Let r represent the price to be found

Let us set up a ratio

195 : 15

r : 8

↓ Cross Multiply

195 × 8 = 15 × r

1560 = 15r

Divide by 15 to isolate r[tex] \frac{1560}{15} = \frac{15r}{15} [/tex]

r = $104

He will receive $104 if he works for 8 hours

4) 15 electricians → 24 days to wire

18 electricians → x days to wire

Workers 1 × Days 1 = Workers 2 × Days 2

15 × 24 = 18 × x

360 = 18x

Divide by 18 to isolate x

[tex] \frac{360}{18} = \frac{18x}{18} [/tex]

x = 20

It takes 18 electricians 20 days to do the same job

5) If you sleep 8 hours out of 24 hours, what is the percentage?

[tex] \frac{8}{24} [/tex] × 100 = 33.3%

You sleep 33% of the day