Answer:
x = 10.5 in
Step-by-step explanation:
The rectangles are similar, thus the ratios of corresponding sides are equal.
that is
=
( cross- multiply )
2x = 21 ( divide both sides by 2 )
x = 10.5
<span>To get to the simplest form you have to divide numerator and denominator by numbers they can both be divided by, until you get to a fraction where you can't divide both anymore getting an integer as a result.
Here you can only divide by 2 and you get 1/5. That's the simplest form</span>, if you kept dividing you'd get decimals, but the simplest form must be integers.
Answer:
20 gallons were used from the tank with the octane rating of 80.
Step-by-step explanation:
Given : One tank of gasoline has an octane rating of 140 and another tank of gasoline has an octane rating of 80. To obtain a mixture of 60 gallons with an octane rating of 120.
To find : How many gallons should be used from the tank with the octane rating of 80?
Solution : Let x be the volume of gas whose octane rating is 140 and
y be the volume of gas whose octane rating is 80.
Then, we form the equation as:
(1) 

or
.........[3]
(2) 
Now multiply equation (2) by 4
...........[4]
Subtract (4) from (3)



Put x in equation [4] we get,





Therefore, x=40 and y=20
So, 20 gallons were used from the tank with the octane rating of 80.
The answer is A. they should work on their plan for managing income.