Answer:
The area of the new rectangle is 882 in².
Step-by-step explanation:
Let l be the length and w be the width of the original rectangle,
So, the area of the original rectangle is,
A = l × w ( Area of a rectangle = Length × Width )
Given, A = 72 in²,
⇒ lw = 72 ------- (1),
Since, if the rectangle are changed by a scale factor of 3.5,
⇒ New length = 3.5 l,
And, new width = 3.5 w,
Thus, the area of the new rectangle = 3.5l × 3.5w
( From equation (1) ),
= 882 in²
Answer: The answer is B) y > 4.
Step-by-step explanation: When you transfer the -1 to the y side you add it and pick which number adds to the sum of 5
B should be the answer for the triangle
Answer:
a. 8
b. 2, 3, 4
Step-by-step explanation:
We have to:
Pedro's age = 14 years
Elisa's age = 3 years
The years to elapse = x
Pedro's age = 14 + x
Elisa's age = 3 + x
14 + x = 2 * (3 + x)
14 + x = 6 + 2 * x
14 - 6 = 2 * x - x
x = 8
Eight years must pass before Pedro's age is twice Elisa's
Now the second question:
Let x be the smallest number
Let x + 1 be the consecutive number
Let x + 2 be the consecutive number
x + (x + 1) + (x + 2) = 2 * (x + 2) +1
x + x +1 + x + 2 = 2 * x + 4 + 1
3 * x +3 = 2 * x + 5
3 * x -2 * x = 5 - 3
x = 2
So:
x = 2
x + 1 = 2 + 1 = 3
x + 2 = 2 + 2 = 4
Therefore the numbers are 2, 3, 4 are consecutive and equality is true