To solve for j, cross multiply:
4 x 45 = 18 x j
180 = 18j
Divide both sides by 18:
j = 10
2.3 x 10^-3 * 4.2 x 10^2 =
.0023 * 420 =
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0.966
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Answer:
3.6 pounds
Step-by-step explanation:
If 1 bottle weighs 3/5 pounds
the 6 bottles will weigh 6 x 3/5
= 18/5
ratio method :
1:3/5
6:x
since the ratios are direct we can cross multiply
18/5 = 1x
so the 6 bottles weigh 18/5 pounds or 3.6 pounds
Answer:
Large boxes are 18.25 kg
Small boxes are 15.25 kg
Step-by-step explanation:
This is a system of equations. You need to set up each equation first.
I am assigning x to be big boxes and y to be small boxes.
5x + 3y = 137
2x + 6y = 128
To solve, you will need to eliminate a variable. That means you will have to multiply one of the equations by a number to make it so a variable will be eliminated. I will be multiplying the top equation by -2.
-2 ( 5x + 3y = 137)
2x + 6y = 128
Distribute the -2 to everything in the parentheses in the first equation.
-10x - 6y = -274
2x + 6y = 128
Notice the 6y will go away because -6y + 6y = 0. Now add the equations together. The remaining equation is:
-8x = -146
Solve for x by dividing by -8.
x = 18.25
Now plug that into one of the original equations.
2(18.25) + 6y = 128.
36.5 + 6y = 128 Subtract 36.5 from each side
-36.5 -36.5
6y = 91.5 Divide by 6 to solve
y = 15.25