To solve this problem, we must remember that the distributive property allows us to get rid of parentheses by multiplying the coefficient by each of the terms in parentheses. In this case, our coefficient is 3, because that is the number of dollars Ann and Joe's father will donate per lap. This means that we must multiply this by the total number of laps that they swam, which can be found by adding together their individual number of laps, 21 + 15.
This makes our expression: 3(21 + 15)
Using the distributive property, we can multiply both numbers in the parentheses by 3 to simplify our expression, as shown below:
3(21) + 3(15)
Now, we must multiply these numbers together to simplify.
63 + 45
When we add these two numbers together, we get 108.
Therefore, your final answer is that their father donated $108.
Hope this helps!
Answer:
B
Step-by-step explanation:
- 4×14=56
- 8×20=160
- 160×56=8960
Answer:
y=2x+5
Step-by-step explanation:
−8x+4y=20
Step 1: Add 8x to both sides.
−8x+4y+8x=20+8x
4y=8x+20
Step 2: Divide both sides by 4.
4y4=8x+204
y=2x+5
Difference in doughnuts = 50 - 40 = 10
Difference in money = 15 + 5 = 20
20 ÷ 10 = $2
Each doughnut costs $2
<em>Check:</em>
40 x 2 + 5 = $85
50 x 2 -15 = $85
Ravi has $85 at first.
Each doughnut costs $2
We see two parallel lines crossed by a transversal.
The two labelled angles are alternate interior angles, hence they are equal.
The equality allows us to equate the two expressions and hence solve for x.
8x-3=5x+42
transpose terms
8x-5x=42+3
solve for x
3x=45
so x=45/3=15.
This means 5x+42=5*15+42=75+42=117 degrees.
