Answer:

Equation:

<h3>Step-by-step solution</h3>
- Linear equations with one unknown
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1. Group all constants on the right side of the equation

Subtract
from both sides:

Combine the fractions:

Combine the numerators:

Reduce the zero numerator:

Simplify the arithmetic:

Find the lowest common denominator:

Multiply the denominators:

Multiply the numerators:

Combine the fractions:

Combine the numerators:

Find the greatest common factor of the numerator and denominator:

Factor out and cancel the greatest common factor:

2. Isolate the x

Multiply both sides by inverse fraction 3/2:

Group like terms:

Simplify the fraction:

Multiply the fractions:

Simplify the arithmetic:

Simplify the arithmetic:

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Why learn this
Linear equations cannot tell you the future, but they can give you a good idea of what to expect so you can plan ahead. How long will it take you to fill your swimming pool? How much money will you earn during summer break? What are the quantities you need for your favorite recipe to make enough for all your friends?
Linear equations explain some of the relationships between what we know and what we want to know and can help us solve a wide range of problems we might encounter in our everyday lives.
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Terms and topics
- Linear equations with one unknown
Answer:
Find the number of hours by dividing the distance by mph. The number of hours will be to the left of the decimal point:
284 miles / 58 mph
= 4.896551724
= 4 hours
2) Find the number of minutes by multiplying what is remaining from step 1 by 60 minutes. The minutes will be to the left of the decimal point:
0.896551724 x 60
= 53.79310344
= 53 minutes
3) Find the number of seconds by multiplying what is remaining from step 2 by 60 seconds. The seconds will be to the left of the decimal point:
0.79310344 x 60
= 47.5862064
= 47 seconds
The answer is 4 hours 53 minutes and 47 seconds approx
14 + (-8) / 2 x -3
Follow order of operations: divide and multiply from left to right:
-8/2 = -4 x -3 = 12
Now you have 14 + 12
The answer is 26
Answer:
The number is 12
Step-by-step explanation:
4 times a number is 8 more than 40
Write the equation
4n=40+8
4n =48
Divide each side by 4 to isolate n
4n/4 = 48/4
n = 12
Use distance formula to find length of each side:
RQ = 5.39
RS = 4.47
ST = 3.61
TU = 4.12
UQ = 8.54
Total =26.13
Answer = 26.1 Units