Let C be the amount of compost
T be the amount of topsoil
Each compost cost = $25
Cost of C compost = 25C
Each topsoil cost = $15
Cost of T topsoil = 15T
Amount of compost + amount of topsoil = 10
C + T = 10 -------> Equation 1
cost of C compost + cost of T topsoil = 180
25C + 15T = 180 --------> equation 2
Solve the first equation for C
C + T = 10
C = 10 - T
Now plug it in second equation
25C + 15T = 180
25 ( 10 - T) +15T = 180
250 - 25T + 15T = 180 (combine like terms)
250 - 10 T = 180 (Subtract 250 on both sides)
-10T = 180 - 250
-10T = -70 ( divide by -10 on both sides)
T = 7
She purchased 7 cubic yards of topsoil .
Answer:
x = 4
Given:
f(x) = -12x + 72
f(x) = 24
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Consider the equation:
Use distributive property in both sides:
Separate terms with x into the left part and terms without x into the right part:
Since you get true equality 0 = 0, the equation is true for all real values of x. So, the equation has infinitely many solutions.
Volume of the cylinder is 480 cm³ (rounded off to the nearest tenth)
Step-by-step explanation:
- Step 1: Find volume of the cylinder when radius = 4 cm and height = 9.5 cm
Volume = πr²h = 3.14 × 4² × 9.5
= 3.14 × 16 × 9.5 = 477.28 cm³ ≈ 480 cm³
