Answer:
7.5 liters
Step-by-step explanation:
Here what we need to know is the liters of the first solution, that we will call x. We know that the 40% of x plus the 60% of 30 MUST be equal to the 56% of total liters. The total liters are the sum of both substances, i.e, the x liters of the 1st sugar solution and the 30 liters of the second, which is 30+x liters. So, we have that:
0.4*x + 0.6*30 = 0.56(30+x)
Using distributive and the fact that 0.6*30 = 18 and 0.56*30=16.8
0.4x + 18 = 16.8 + 0.56x
Subtract 16.8 in both sides:
0.4x + 18 - 16.8 = 0.56x
0.4x + 1.2 = 0.56 x
Subtract now 0.4x in both sides:
1.2 = 0.56 x - 0.4x
1.2 = 0.16x
Divide both sides by 0.16
1.2/0.16 = 0.16/0.16 x
7.5 = x
So, the first solution must be of 7.5 liters in order to have a 56% in the mixture.
Hi , the answer is 5.27 x 10^5 .
Answer:
1) A and D
The radius is the distance from the center of a circle to any part of the edge. Both A and D have a radius of three, regardless of what direction they go.
2) 5"
In circle C we see that there is a line segment that is 5" that goes from the center to the edge, or the radius.
3) C
The different variables are representing different points on the circles. The circle that contains a line connecting C and L is circle C.
4) BN
Circle B contains a radius that is the distance from B to N, or BN.
5) EF
The diameter is the distance of a straight line that was pass through the middle of a circle, or its width. The diameter is double the radius. In circle A we see that line EF passes through the center put goes all the way across the circle.
6)IJ
Line IJ isn't even linear, so it could not be the radius. Both AG and BH are straight lines that represent the radius.
7) 6"
The diameter is always twice the radius. In circle A the radius is 3, so the diameter is 6.
8) A and D
Just as we said in the first answer, A and D both have a radius that measures 3 inches.
I hope this helps!
Step-by-step explanation:
The machine was operated for 4.5 hours
A machine uses gasoline at a rate of 1/5 gallon per hour
The number of hours it will take the machine to use 9/10 gallon can be calculated as follows
1/5 = 1
9/10= x
cross multiply
1/5x= 9/10
0.2x= 0.9
x= 0.9/0.2
x= 4.5
Hence the machine was operated for 4.5 hours
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