Answer:
x=10
Step-by-step explanation:
We can use the angle bisector theorem to solve this problem
8 12
-------- = ---------
x+4 2x+1
Using cross products
8(2x+1) = 12(x+4)
Distribute
16x+8 = 12x+48
Subtract 12x from each side
16x -12x +8 = 12x-12x +48
4x +8 = 48
Subtract 8 from each side
4x+8-8 = 48-8
4x = 40
4x/4 = 40/4
x=10
Profit (P) is calculated by subtracting the total cost (C) from the total revenue (R). The calculations are shown below,
R = (1440 dozens) x (12 pieces / 1 dozen) x (25 cents/ piece) = $4320
C = (1440 dozens) x ($2.50 / dozen) = $3600
Profit = R - C = $4320 - $3600 = $720
Thus, the businessman's profit is $720.
Answer: -6=-4 or x=2,3
Step-by-step explanation:
Answer:
8. False.
11 and 13 are consecutive prime numbers, but 11 + 13 = 24 and 24 isn't prime.
9. True.
10. True.
11. True
12. False.
13. True.
Answer:
Answer Below
Step-by-step explanation:
a. 2L+2W≥40
thats equal to 12+2W≥40 since it says the length is 6
That means 2W≥28
That means width ≥ 14
so the width can be 14 or greater
b. Smallest possible width is 14 because the inequality
