The sum of 12 and a number x is equal to 15

Mathematics

2 answers:

daser333 [38]3 years ago

4 0

Answer:

The answer would be 3.

Step-by-step explanation:

This can be found by subtracting 12 from both sides and then the x will be alone on one side and be set equal to 3 on the other side.

marysya [2.9K]3 years ago

3 0

12+x=15

15-12=3

12+3=15

x=3

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A square mirror has sides measuring 2 ft less than the sides of a square painting. If the difference between their areas is 32 f

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Answer: The side lengths of mirror and painting are 7 ft and 9 ft respectively.

Step-by-step explanation: Given that a square mirror has sides measuring 2 ft less than the sides of a square painting and the difference between their areas is 32 ft.

We are to find the lengths of the sides of the mirror and the painting.

Let x ft represents the length of the side of mirror. Then, the side length of square painting is (x+2) ft.

According to the given information, we have

$\textup{area of painting}-\textup{area of mirror}=32\\\\\Rightarrow (x+2)^2-x^2=32\\\\\Rightarrow x^2+4x+4-x^2=32\\\\\Rightarrow 4x=28\\\\\Rightarrow x=\dfrac{28}{4}\\\\\Rightarrow x=7.$