Answer:
1. Distributive Property
2. Addition Property of Equality
3. Multiplicative Property of Equality
Step-by-step explanation:
1. The 3 is multiplied by each number in the parenthesis
3*10=30
3*2=6
So 3*(10-2x)=30-6x
2. The 30 is subtracted from both sides
30-6x-30 = -6x
6-30 = -24
30-6x-30=6-30
So -6x=-24
3. The -6 is divided from both sides
-6x/-6 = x
-24/-6 = 4
-6x/-6 = -24/-6
So x=4
Answer: didn't know
Step-by-step explanation:
Came for points
Answer: 19 cupcakes and 37 cookies were sold.
Step-by-step explanation:
Let x represent the number of cupcakes that Jesse sold yesterday.
Let y represent the number of cookies that Jesse sold yesterday.
If he sold 56 cupcakes and cookies combined, it means that
x + y = 56
Each cupcake sold for $1.50 and each cookie sold for $0.25. At the end of the day, Jesse had sold $37.75 worth of cookies and cupcakes. This means that
1.5x + 0.25y = 37.75 - - - - - - - - - - -1
Substituting x = 56 - y into equation 1, it becomes
1.5(56 - y) + 0.25y = 37.75
84 - 1.5y + 0.25y = 37.75
- 1.5y + 0.25y = 37.75 - 84
- 1.25y = - 46.25
y = - 46.25/ - 1.25
y = 37
x = 56 - y = 56 - 37
x = 19
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The answer to this question is C