Answer:
a = 6
Step-by-step explanation:
Hello!
Solve:
- 4(3a - 4) = 56
- 3a - 4 = 14 (factoring out 4)
- 3a = 18 (adding 4 to both sides)
- a = 6 (dividing by 3)
Another way:
- 4(3a - 4) = 56
- 12a - 16 = 56 (distributive property)
- 12a = 72 (moving like terms)
- a = 6 (dividing by 12)
Distributive Property of Multiplication:
The process of distributing the outside factor to the terms in the parenthesis.
Example:
Answer:
adult tickets = 17, children tickets = 9
Step-by-step explanation:
Let x be the number of children and y the number of adults
Then given that 26 tickets are sold, we can write
x + y = 26 → (1)
Given that ticket cost was $194 we can write
5.5x + 8.5y = 194 → (2)
Rearrange (1) expressing y in terms of x by subtracting x from both sides
y = 26 - x → (3)
Substitute y = 26 - x into (2)
5.5x + 8.5(26 - x) = 194 ← distribute and simplify left side
5.5x + 221 - 8.5x = 194
- 3x + 221 = 194 ( subtract 221 from both sides )
- 3x = - 27 ( divide both sides by - 3 )
x = 9
Substitute x = 9 into (3) for corresponding value of y
y = 26 - 9 = 17
Hence number of adult tickets sold = 17
number of children tickets sold = 9
Answer:
31 hours
Step-by-step explanation:
To at least buy the Air-Pods she will need to work at least 31 hours. You can either round at the beginning or end, I'll demonstrate rounding at the end. Divide $278.10 by $9.00, getting 30.9. You would have to round up to insure you have enough money, getting 31 hours
<span>3 quarters and 2 pennies.3 quarters= $0.75 2 pennies= $0.02= $0.77</span>
