Answer:
canvas $3
tube of paint $5
paint brush $4
Step-by-step explanation:
We need to choose variables for the prices of the different items, translate the sentences into equations, and solve a system of equations.
1. Define variables
Let c = price of 1 canvas, t = price of 1 tube of paint, and b = price of 1 brush.
2. Translate sentences into equations
"Jermaine bought 2 canvases, 4 tubes of paint, and 2 paint brushes for $34."
2c + 4t + 2b = 34
"Keira spent $22 on 1 canvas, 3 tubes of paint, and 1 paint brush."
c + 3t + b = 22
"Leon already has plenty of paint, so he bought 3 canvases and 2 paint brushes for $17."
3c + 2b = 17
The system of equations is
2c + 4t + 2b = 34 Eq. 1
c + 3t + b = 22 Eq. 2
3c + 2b = 17 Eq. 3
Since the third equation has only the variables c and b, we use the first equations to eliminate variable t and give us an equation in only c and b.
3 * Eq. 1 - 4 * Eq. 2
2c + 2b = 14
c + b = 7 Eq. 4
Eq. 3 and Eq. 4 form a system of equations in two variables.
3c + 2b = 17 Eq. 3
c + b = 7 Eq. 4
Solve Eq. 4 for b.
b = 7 - c Eq. 5
Substitute into Eq. 3.
3c + 2(7 - c) = 17
3c + 14 - 2c = 17
c = 3
Plug in c = 3 into Eq. 5.
b = 7 - 3
b = 4
Plug in c = 3 and b = 3 into Eq. 2.
c + 3t + b = 22 Eq. 2
3 + 3t + 4 = 22
3t + 7 = 22
3t = 15
t = 5
Answer:
canvas $3
tube of paint $5
paint brush $4
Answer: 
Step-by-step explanation:
you would multiply by 3 on both sides to get the division to go away.
then subtract 8 from both sides.
then you have your answer
Answer:
125
Step-by-step explanation:
Steps to Solving the Problem
So let's say you have five friends who who are each going to pay you five dollars for the next five days. You can figure out how much money you will receive by calculating five cubed or five to the third power. This will tell us how much money you will get because you will multiply 5 by 5 by 5 or 5 cubed.
To start, you need to turn words into numbers by figuring out the base and exponent. An exponent is the number after the ^ which tells you how many times to multiply the base number by itself. The base number comes before the ^. When five is cubed, five is the base number which will show up before the ^.
Three is the exponent and will be the number after the ^. We know three is the exponent because of the word 'cubed,' which always represents the number three.
We can write out five cubed as:
5^3
Once the exponent and base are figured out, we need to write out the long version, which shows all the multiplication being done. In this case, the exponent of three tells us to multiply five by itself three times.
5 x 5 x 5
This shows us 5 friends multiplied by $5 multiplied by 5 days.
From here, multiply the numbers out to get the final answer. Multiply two numbers at a time to so you don't make a mistake.
5 x 5 = 25
25 x 5 = 125
Answer:
Mr. Vu can go 2910 miles on 15 battery charges (D).
Step-by-step explanation:
If 1 battery charge lasts 194, then we can multiply 15 by 194 to find this amount of miles.
15 times 194 equals 2910, so with 15 battery charges, he would go 2910 miles.
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