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katovenus [111]

3 years ago

8

Julie recently drove to visit her parents who live 120 miles away. On her way there her average speed was 20 miles per hour fast

er than on her way home (she ran into some bad weather). If Julie spent a total of 5 hours driving, find the two rates.

1 answer:

mart [117]3 years ago

5 0

40mph average there totaling 3 hours, 60mph back, totaling 2 hours. 5 hours total.

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Rewrite the equation below so that it does not have fractions.

bearhunter [10]

Answer:

$60+10x=6$

Step-by-step explanation:

Hi there!

$4+\displaystyle \frac{2}{3} x=\frac{2}{5}$

To get rid of the fraction $\displaystyle \frac{2}{3}$ , multiply both sides of the equation by 3 (the denominator):

$3(4+\displaystyle \frac{2}{3} x)=3(\frac{2}{5})\\\\3*4+\frac{3*2}{3}x =\frac{3*2}{5} \\\\12+2x =\frac{6}{5}$

To get rid of the fraction $\displaystyle \frac{6}{5}$ , multiply both sides of the equation by 5 (the denominator):

$\displaystyle 5(12+2x) =5(\frac{6}{5})\\\\5*12+5*2x=\frac{5*6}{5} \\\\60+10x=6$

I hope this helps!

8 0

2 years ago

Read 2 more answers

A local hamburger shop sold a combined total of 813 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburger so

Naya [18.7K]

9514 1404 393

Answer:

375 hamburgers

Step-by-step explanation:

Let h represent the number of hamburgers. Then h+63 is the number of cheeseburgers, and the combined total is ...

h +(h +63) = 813

2h = 813 -63 = 750

h = 750/2 = 375

375 hamburgers were sold on Saturday.

_____

<em>Additional comment</em>

In a "sum and difference" problem like this, the smaller number is half the difference between the sum and the difference. h = (813 -63)/2 = 375. This generic solution applies to all "sum and difference" problems.

8 0

2 years ago

Evaluate the expression when a= 4, b= - 2, and c= 7 - -> 5a - 9 (b - c)

ollegr [7]

Answer:

$65$

Step-by-step explanation:

Given the following question:

$5a-9(b-c)$
a = 4
b = 2
c = 7

In order to find the answer, we need to substitute the variables with the numbers given, and then solve using PEMDAS.

$5\times4-9\times(2-7)$
$2-7=-5$
$5\times4-9\times-5$
$5\times4=20$
$20-9\times-5$
$9\times-5=-45$
$20--45$
$20+45=65$
$=65$

Hope this helps.

8 0

2 years ago

A restaurant has 60 tables. The graph shows the average number of tables occupied during each day of the week. During which day

Naddika [18.5K]

Answer: Saturday

Step-by-step explanation:

Saturday is at the highest point meaning it has less empty tables

8 0

3 years ago

The area of a rectangle is 30 + 12x. List at least 3 possibilities for the length and width of the rectangle.

Gala2k [10]

Answer:

Below in bold.

Step-by-step explanation:

Area = 30 + 12x and area is also = to width * length so we need to look for factors of 30 + 12x.

30 + 12x = 6(5 + 2x)

So 6 and 5 + 2x is one possible answer.

3 and 10 + 4x is another.

12 and 2.5 + x is another.

If we multiply these pairs together we see that the result is

30 + 12x in each case.

6 0

3 years ago