Answer:
5.7 liters of 5% solution and 4.3 liters of 40% solution. First, create some formulas to define the problem. x Amount of 5% solution used 10-x Amount of 40% solution used This equation means 5% of x plus 40% of (10-x) equals 20% of 10. 0.05x + 0.40(10-x) = 0.20 * 10 Distribute the 0.40 0.05x + 4.0 - 0.40x = 0.20 * 10 Combine terms 4.0 - 0.35x = 2.0 Add 0.35x to both sides 4.0 = 2.0 + 0.35x Subtract 2 from both sides 2.0 = 0.35x Divide both sides by 0.35 5.7 = x So we need to use 5.7 liters of the 5% solution. To get the amount of 40% solution, just simply subtract from 10. 10.0 - 5.7 = 4.3
Step-by-step explanation:
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Answer:
40 bottles of juice
60 bottles of water
Step-by-step explanation:
let w represent water, let j represent juice. set up a system of equations:
w+2j=140
w+j=100
isolate the w by itself on the bottom equation:
w=100-j
solve the top equation by substitution, substituting 100-j for w:
w+2j=140
100-j+2j=140
100+j=140
j=40
this means that they bought 40 bottles of juice.
to find the amount of bottles of water the bought, substitute 40 for j in either of the equations (i did it in the bottom one, because it's easier):
w=100-j
w=100-40
w=60
so, they bought 60 bottles of water.
Answer:
Step-by-step explanation:
x= -1 and -3
What when multiplied is +3 but when added is 4? 3 and 1. You then get (x+3)(x+1) is the first part of the answer. If you want to find x, set x+3 to 0. x+3=0. Then subtract 3 from both sides to get x by itself. x= -3. Do the same with the x+1.
Answer: Charlie have to drive at a speed of 80miles per hour in order to reach there on time.
Step-by-step explanation:
At 4pm Charlie realizes he has half an hour to get to his grandmothers house for diner. Knowing that the time he has left is 30 minutes and the distance to his grandmother's place is 40 miles, the only thing that he can control is his speed
Speed = distance travelled / time taken
40/0.5 = 80 miles per hour
Answer is about 37.68
circumference is pi x diameter
3.14 x 12