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Burka [1]
3 years ago
13

When traveling to work, Cherise averages 60 miles per hour.Because of heavy traffic in the evening, she averages only 40 miles p

er hour. If the distance from home to work is 80 miles, how much longer does it take Cherise to make the drive home?
Mathematics
1 answer:
Slav-nsk [51]3 years ago
4 0
<h3>Answer:  40 minutes</h3>

============================================================

Explanation:

The distance traveled is d = 80 miles.

When going to work, her speed is r = 60 mph. She takes t = d/r = 80/60 = 4/3 hours which converts to 80 minutes. Multiply by 60 to go from hours to minutes.

Notice how the '80' shows up twice (in "80 miles" and "80 minutes"). This is because traveling 60 mph is the same as traveling 1 mile per minute.

-----------------

Now as she's coming home, her speed becomes r = 40 and she takes t = d/r = 80/40 = 2 hours = 120 minutes.

The difference in time values is 120 - 80 = 40 minutes.

Her commute back home takes 40 more minutes compared to the morning drive to work.

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How do u solve <br> 1×-2y=4<br> -1×+10y=8
Molodets [167]

Answer: x = -8 ; y = -6

Step-by-step explanation:

1*x-2*y=4

1*x = 4 + 2*y

x = 4 + 2*y

Now you replace the value of x on the following equation:

-1*x+10*y=8

-1*(4 + 2*y) = 8

-4 - 2*y = 8

-2*y = 8+4

-2*y = 12

y = -12/2

y = -6

You replace the value of y in the previous equation:

x = 4 + 2*y

x = 4 + 2*(-6)

x = 4 - 12

x = -8

6 0
3 years ago
8<br> p varies directly as the square root of q.<br> p = 8 when q = 25.<br> Find p when q = 100.
Lostsunrise [7]

Answer:

16

Step-by-step explanation:

p=k√q

8=k√25

8=k5

k=8/5

p when q=100

p=8/5*√100

p=8/5*10

p=16

4 0
2 years ago
Find the first term of the arithmetic sequence in which a38= -5 and the common difference is -2.9
mestny [16]

Answer:

102.3

Step-by-step explanation:

a_38 = -5

difference d= -2.9

We use general formula

a_n = a_1 + (n-1)d

WE make the formula for a_38 th term

Plug in 38 for n

a_{38} = a_1 + (38-1)d

Now plug in -2.9 for d and -5 for a_38

-5 = a_1 + (38-1)(-2.9)

-5 = a_1 - 107.3

Now add 107.3 on both sides

102.3 = a_1

option A is correct



3 0
3 years ago
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3 years ago
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