Answer:
600 Cheese and 900 Pepperoni
Step-by-step explanation:
Setup the equation with 2c(Cheese) + 2.5p(Pepperoni) = $3450(Total Made).
In addition to the equation c + p = 1500(Number of pizzas sold)
Using the second equation (c + p = 1500) solve for one of the variables.
Lets use :
- p = 1500 - c
- Plus this equation into the original equation, 2c + 2.5(1500 - c) = 3450
- Distribute 2.5, 2c + 3750 - 2.5c = 3450
- Combine like terms -0.5c + 3750 = 3450
- Solve for c: c = 600
- Plus 600 in for c into any equation ( lets use c + p = 1500)
- 600 + p = 1500
- P = 900
Answer:
-384x - 120y
Step-by-step explanation:
General Concepts and Formulas:
Brackets
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
Steps:
1) Distribute
We must distribute the expression above by multiplying -12 by the coefficients and then adding the variables.
So first, multiple -12 by 32 and add the variable 'x' when getting the product:
-12(-384x - 10y)
Now that we have one part, let's solve the other part.
We now must multiple -12 by -10, which gets us 120, now we must plug in:
(-384x - 120y)
(Remove parenthesis)
⇒ -384x - 120y
Answer: 
Step-by-step explanation:
Given: Perimeter of triangular garden = 
The sum of two sides of the garden = 
Perimeter is the sum of all sides of a triangle.
Third side = Perimeter of triangular garden - sum of two sides of the garden
The expression represent the third side = .
First find the common denominator
5/8=25/40
2/5=16/40
3/4=30/40
Next you can cross multiply
25/40=x/10 pounds
16/40=x/10 pounds
30/40=x/10 pounds
First
25(10)/40= 6.25 pounds
16(10)/40= 4pounds
30(10)/40= 7.5 pounds
These are the amounts that were left in the bag
10-6.25=3.75
10-4=6
10-7.5=2.5
3.75+6+2.5= 12.25
All together they put 12.25 pounds of soil in the flower bed
Answer:
Firstly, rewrite the equation:
⅓ (18 + 27) = 81
Substitute x for the given number of it's supposed equivalent.
In this case x = 12.
⅓ (18(12) + 27) = 81
Solve using PEMDAS and simplify what is in the parenthesis first. Then, multiply.
(18 x 12) + 27 = 243
Now, solving using PEMDAS, multiply the total of what you got that was originally in the parenthesis by ⅓ .
⅓ (243) = 81
When you multiple these number they are equivalent to 81.
81 = 81
Since the equation given, when substituted x for 12, is equivalent to 81, this proves that substituting x for 12 makes this equation true.
