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STatiana [176]
3 years ago
13

How do you solve these equations?

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
4 0
Just enter it into a calculator.
a) -0.8315
b) 0.8315
c) 0.5556
d) 0.8315
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A car travels 500 miles at an average speed of 60 MPH on the return trip the same route that it travels 50 miles per hour how lo
xxMikexx [17]

Step-by-step explanation:

it is not clear - is 500 miles the whole round trip, or is it only the trip in one direction ?

and do we need the time for the whole round trip, or only for the return trip ?

in any case, always remember,

speed = distance/time

therefore, to get time, we need to divide distance by speed :

distance / distance/time = time×distance/distance = time

so, let's calculate all these different scenarios :

1. 500 miles is only one direction, and we measure only the time going back with 60 mph :

500 / 60 = 50/6 = 25/3 = 8 1/3 = 8 hours 20 minutes.

as 1/3 of 1 hour = 1/3 of 60 minutes = 60/3 = 20 minutes.

2. 500 miles is only one direction (going 1000 miles altogether), and we measure the time going to with 50 mph and going back with 60 mph :

500 / 50 = 10 hours

500 / 60 = 8 hours 20 minutes

the whole round trip takes 18 hours 20 minutes.

3. 500 miles is the whole round trip. so, 250 miles is one direction. and we measure only the time going back with 60 mph :

250 / 60 = 25/6 = 4 1/6 = 4 hours 10 minutes.

as 1/6 of 1 hour = 1/6 of 60 minutes = 60/6 = 10 minutes.

4. 500 miles is the whole round trip. so, 250 miles is one direction. and we measure the time going to with 50 mph and back with 60 mph :

250 / 50 = 5 hours

250 / 60 = 4 hours 10 minutes

the whole round trip takes 9 hours 10 minutes.

did you notice ?

when going only half the distance, also the time it takes to travel that distance is only half (or vice versa - double). because the ratio distance/time is always the same.

7 0
2 years ago
Solve this by substitution
frozen [14]

Answer:

y= 1 and x=-2

Step-by-step explanation:

Since they both equal y, you can equal them to each other:

x + 3 = 2x + 5

Then solve:

x - x + 3 = 2x - x + 5

3 - 5 = x + 5 - 5

-2 = x

Substitute x in either equation to solve for y:

y = (-2) +3

y = 1

Or the other equation:

y = 2(-2) + 5

y = -4 + 5

y = 1

hope this helps :)

6 0
3 years ago
Lisa has a certain amount of money. She spent 39 dollars and has 3/4th of the original amount left. How much money did she have
harina [27]
If \frac { 3 }{ 4 } is left, that means \frac { 1 }{ 4 } was spent. So \frac { 1 }{ 4 } of the total amount is equal to 39.. Let's say x to the total amount. \frac { 1 }{ 4 } \cdot x=39\\ x=4\cdot 39\\ x=156\\

4 0
3 years ago
Read 2 more answers
Use consults and consideration in one sentence
den301095 [7]

Answer:

Inspite of giving special consideration to a particular employee, Jack consults everyone before taking any decision regarding the changes in the company's policy.

3 0
3 years ago
Read 2 more answers
There are four consecutive integers. The sum of the first and third number is 140. what are the integers? please show work:)
marta [7]
69, 70, 71, and 72
69 and 71 are the first and third digits. 69+71=140
5 0
3 years ago
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