x = Alicia's age
Amy is 8 years older than twice her cousin Alicia's age so Amy's age = 2x + 8
Sum of their ages is less than 32
x + 2x + 8 < 32
3x + 8 < 32
3x < 24
x < 8
So Alicia's age is greater than 0 but less than 8 years old
(0 < x < 8)
Answer:
A) 0 < x < 8
The original price is 135
Step-by-step explanation:
Write equation. Let o be original price, r be rate of increase, P be the increased price. o+ro=P
Substitute values. Original price (o) is unknown, so that will stay as it is; we know that the increased price (P) is 162; we know that the rate of increase (r) is 20%, which in decimal form is 0.20 o+0.20o=162
Add like terms. o is the same as 1o. So 1+0.20 is 1.20. 1.20o=162
Isolate the variable (o). To isolate o, you need to divide both sides by 1.20. 1.20 divided by 1.20 is the same as 1. 162 divided by 1.20 is 135. o=135
Check your work. Plug in the values into the equation and check if it is correct: o+ro=P becomes (135)+(.20)(135)=162. That is simplified into 135+27=162, which is further simplified into 162=162
It’s correct, the answer is 135
Answer:
2(x-4)=3(x+10)
Step-by-step explanation:
one half = 
If Mrs. Marina is going to make one half of the recipe, then she needs
Answer: Mrs. Marina needs 
of sugar to make one half of recipe.
Answer:
For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.
