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Ber [7]
2 years ago
7

Why do you end up with 2 every time?

Mathematics
1 answer:
Andrej [43]2 years ago
8 0
Evaluate the expression form of the instructions.

(((3x-4)*2+20)/6)-x

Distribute the 2
((6x-8+20)/6)-x

Combine like terms
(6x+12)/6-x

Divide by 6
x+2-x

Add and subtract
2

Final answer: 2
Explanation: When you simplify the expression using the order of operations, the numbers cancel each other out. The variable x, is also cancelled out and the only remaining constant is 2.
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7 0
3 years ago
Warren brought $41.50 to the art supply store. He bought a brush, a sketchbook, and a paint set. The brush was 1 6 as much as th
melomori [17]

Answer:

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

Step-by-step explanation:

If Warren went to the store with $41.5 and left with only $4 then the total amount he spent on the store was:

total spent = 41.5 - 4 = 37.5

Since he bought a brush, a sketchbook and a paint set we have:

brush + sketchbook + paint = 37.5

The prices of each item are related in the following manner:

brush = (1/6)*sketchbook

sketchbook = (3/4)*paint

brush = (1/6)*(3/4)*paint = (3/24)*paint = (1/8)*paint

Using these expressions on the one that represents the total value we will be abble to have only one variable, paint. We have:

(1/8)*paint + (3/4)*paint + paint = 37.5

(1/8)*paint + (6/8)*paint + (8/8)*paint = 37.5

(15/8)*paint = 37.5

paint = 37.5/(15/8) = 37.5*(8/15) = 20

brush = (1/8)*paint = (1/8)*20 = 2.5

sketchbook = (3/4)*paint = (3/4)*20 = 15

Warren paid $2.5 for the brush, $15 for the sketchbook and $20 for the paint set.

6 0
3 years ago
Read 2 more answers
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