Answer:
For 2 parallelograms, the corresponding side lengths are 1 inch and x inches, and 2 inches and 6 inches.
Not drawn to scale
StartFraction 1 over x EndFraction = StartFraction 2 over 6 EndFraction
StartFraction 1 over x EndFraction = StartFraction 6 over 2 EndFraction
StartFraction 1 over 6 EndFraction = StartFraction 2 over x EndFraction
One-half = StartFraction 6 over x EndFraction
Step-by-step explanation:
Answer:
1.5 hours
Step-by-step explanation:
Carlos = x
Maria = y
55x + 47y = 197
x + y = 3.8
x = 3.8 - y
55(3.8 - y) + 47y = 197
209 - 55y + 47y = 197
-8y = -12
y = 3/2 = 1.5
Because if let's say you have 400$ for the year, and each book cost 10$. So it would be written as 400-10b since the quantity of books must be multiplied times their cost to calculate whether you are within or outside the budget.
The scale factor is 4 (10/2.5).
Each side has increased by a factor of 4. Think of it logically, if the original rectangle had sides of 1,1,1/4,1/4, the perimeter would add to 2.5. In order to get the sides to add up to 10, each of the sides would need to be multiplied by 4. Then our sides would measure 4,4,1,1 with a perimeter of 10.
You have to be very careful how you set this up. For every girl (who counts as 1) there are 3 boys (who count as 3). The total number in the proportion is 3 + 1 =4. You are given a total, but that is both boys and girls. That's why you need the 4.
3/4 = x / 236 Cross multiply
4x = 3 * 236
4x = 708 Divide by 4
x = 708/4
x = 177
There are 177 boys at the school and 236 - 177 = 59 girls.
