All categories

3 years ago

Josh and Greg leave from the same place

Mathematics

1 answer:

nasty-shy [4]3 years ago

6 0

9514 1404 393

Answer:

Josh: 32 mph, 64 mi
Greg: 64 mph, 320 mi

Step-by-step explanation:

Let x represent Josh's rate of travel in miles per hour. After 2 hours, his distance is ...

distance = speed · time

distance = x · 2 = 2x

Then 2x is Greg's rate of travel After 5 hours, his distance is ...

distance = speed · time

distance = (2x) · 5 = 10x

The distance they are apart is ...

10x -2x = 256

8x = 256

x = 32

Josh's rate: 32 miles per hour; Josh's distance = (2 h)(32 mi/h) = 64 miles.

Greg's rate: (32 mi/h)·2 = 64 mi/h; Greg's distance = (5 h)(64 mi/h) = 320 miles.

__

Check: 320 miles - 64 miles = 256 miles . . . . correct separation

You might be interested in

Which expression does NOT equal 4/5? 4 x 1/5 2 + 2/5 1/5 + 1/5 + 1/5 + 1/5 2 x 2/5

amid [387]

4 x 1/5 is 4/5 so it is not that one. 1/5+1/5+1/5+1/5 equals 4/5 so it is not that one. 2 x 2/5 is 4/5 so it is not that one.

2+2/5 is 12/5 so this expression does not equal 4/5

4 0

4 years ago

Read 2 more answers

What is the result when the number 67 is increased by 6%?

seropon [69]

Answer:

71.02

Step-by-step explanation:

For a six percent increase on 67, you first need to find six percent of 67.

67 times .06 is 4.02

67+4.02=71.02

4 0

3 years ago

HELP PLEASE NEEDED !!

Molodets [167]

Answer:

$\sqrt[3]{125^2} \\$ = 125^2/3

125^2/3=25

So Jen is correct

4 0

3 years ago

Thirty percent of what number is 275

blagie [28]

Answer:

275 is 30% of 916.67

Step-by-step explanation:

We have, 30% × x = 275

or $\frac{30}{100} x x = 275$

Multiplying both sides by 100 and dividing both sides by 30,

we have x = 275 × $\frac{100}{30}$

x = 916.67

If you are using a calculator, simply enter 275×100÷30, which will give you the answer.

5 0

2 years ago

Read 2 more answers

Does the parabola with equation x2 + 5x +9=0 have real or imaginary roots?

vesna_86 [32]

Answer:

b2-4ac , ans is negative . Should have no real roots .

7 0

4 years ago