63/80 x 100 = 78.8%
You divide normally but multiply by 100 (moving the decimal over two places).
Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
<h3>
How many liters of each solution do we need to use?</h3>
First, we need to define the variables:
- x = liters of the 35% acid used.
- y = liters of the 80% acid used.
We know that we want to produce 60 liters of 65% acid, then we have the system of equations:
x + y = 60
x*0.35 + y*0.80 = 60*0.65
(in the second equation we wrote the percentages in decimal form).
To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:
x = 60 - y
Replacing that in the other equation:
(60 - y)*0.35 + y*0.80 = 60*0.65
y*(0.80 - 0.35) = 60*(0.65 - 0.35)
y*0.45 = 60*0.30
y = 60*0.30/0.45 = 40
So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.
If you want to learn more about systems of equations:
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48 m³
Step-by-step explanation:
A cube has equal length width and height
A cube in this case has length 1m meaning the width and height are also 1 m each in length.
The volume of the cube is (L * W * H) = 1 * 1 * 1 = 1 m³
If 48 of these can fit in the bigger box, then the bigger box has the volume of;
48 * 1 m³ = 48 m³
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Answer:the first option
Step-by-step explanation:
Answer: 320 boys
Step-by-step explanation: you would first take the total number (720) and divide it by the total number shown in the ratio (5+4=9)
720/9= 80
You would then take 80 and multiply it by 4 because that is the number representing the boys
80*4= 320