6, Bob will have 6 apples after he gives 14 away.
To solve this problem, we must first understand what it is asking. Since Bob is giving away apples, he is subtracting them from his total amount. So, now we do the subtraction.
20 - 14 = 6, so Bob will have 6 apples after he gives 14 away.
Find GCF:-
GCF of the numbers = -9
of terms in n GCF = n
GCF is -9n so factors are
-9n(m^2 + 10n - 9n^2)
We want to solve 4|p-3| = |2p+8|
Ths equation is equvalent to 4 equatons.
Case 1.
4(p - 3) = 2p + 8
4p - 12 = 2p + 8
2p = 20
Answer: p = 10
Check the solution.
4|p-3| = 4*7 = 28
|2p+8| = 2*10+8 = 28
The solution is correct.
Case 2.
4(3 - p) = 2p + 8
12 - 4p = 2p + 8
4 = 6p
Answer: p = 2/3
Check the solution.
4|p-3| = 4*|(2/3-3)| = 28/3
|2p+8| = 28/3
The solution is correct.
Case 3.
4(p-3) = -2p - 8
4p - 12 = -2p - 8
6p = 4
Answer: p = 2/3
The solution is correct because it was checked in case 2.
Case 4.
4(3 - p) = -2p - 8
12 - 4p = -2p - 8
20 = 2p
Answer: p = 10
The answer s correct because t was checked in Case 1.
Answers:
p = 10 or p = 2/3.
Both answers check out to be correct.
Answer:
$60 was the price of Zoe's dinner, before sales tax and tip.
Step-by-step explanation:
- Sales tax = 11% * original price = 0.11 * x= 0.11x
- Tips for dinner = 20% * original price = 0.20 * x = 0.2x
- 0.11x + 0.2x = 18.60
- 0.31x = 18.60
- x = 60
- $60 was the price of Zoe's dinner, before sales tax and tip.
Answer:
$18.40
Step-by-step explanation:
480/30= 16
$16 is the amount earned per hour
16×.15= 2.40
$2.40 is 15% increase in the amount she earns per hour
16+2.40=18.40
$18.40 is hourly rate in dollars after the increase
