So find the volume of the separate shapes. For rectangular prisms (which includes cubes), multiply width by height by length. So multiply 4 by 6 by 2. And for the cube, multiply 2 by 2 by 2. Then, to find the total volume, add the two together.
Answer:
The equation is: 
Step-by-step explanation:
Given
Initial = 52000
Rate = 8000 each year
Required
Determine the equation of the graph
The equation can be determined using.

We used minus (-) because, the amount reduces as the student pays.
Let


So, we have:

Substitute values for Initial and Rate


Express as a function:

Answer:
350 mL
Step-by-step explanation:
Let q represent the quantity (in mL) needed of the 70% solution. Then the total amount of mixture will be q+50 milliliters. The total amount of alcohol in the mixture will be ...
0.70q +0.30(50) = 0.65(50 +q)
.05q = 17.5 . . . . . . subtract (0.65q +1.50)
q = 350 . . . . . . . . . divide by 0.05
You will need 350 mL of the 70% solution.
Answer:
true
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
Given
3x² - 5x + 2 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × 2 = 6 and sum = - 5
The factors are - 3 and - 2
Use these factors to split the x- term
3x² - 3x - 2x + 2 = 0 ( factor the first/second and third/fourth terms )
3x(x - 1) - 2(x - 1) = 0 ← factor out (x - 1) from each term
(x - 1)(3x - 2) = 0
Equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = 
Roots are x = 1, x = 