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Answer:
9 years ago.
Step-by-step explanation:
Dotty is 51 years old and Esmerelda is 23 now.
Now, x years ago the age of Dotty was (51 - x) years and the age of Esmerelda was (23 - x) years.
Assume that x years ago Dotty was 3 times Esmerelda's age.
So, we can write the equation as
3(23 - x) = 51 - x
⇒ 69 - 3x = 51 - x
⇒ 69 - 51 = 3x - x
⇒ 18 = 2x
⇒ x = 9 years.
Therefore, 9 years ago Dotty was 3 times Esmerelda's age. (Answer)
Answer:
The answer is A (Two squares)
Step-by-step explanation:
Any give square will have proportionate side lengths,as they are the same, meaning that if you dilute one square it will always be proportinate
Answer:
About 7.2 units
Step-by-step explanation:

Answer:
Step-by-step explanation:
The area of a rectangle is A = lw. If the area is 64, we sub it in to get 64 = lw.
If we want to express the perimeter in terms of w using that area expression, we solve the area for l:

The formula for the perimeter of a rectangle is
P = 2l + 2w
If we are to express it in terms of w, sub in the l value from the area:
which simplifies to

Because this is width and width is a distance measure, it can't ever be negative or 0, so the domain for w is w > 0.