Answer: $7.6502
Step-by-step explanation:
Grape cost $1.19 per pound. 3.16 pounds are bought. The total amount paid for grape will be:
= $1.19 × 3.16
= $3.7604
Peaches cost $1.29 per pound. 1.35 pounds are bought. The total amount paid for peaches will be:
= $1.29 × 1.35
= $1.7415
Peers cost $0.99 per pound. 2.17 pounds are bought. The total amount paid for pears will be:
= $0.99 × 2.17
= $2.1483
Total bill paid will be:
= $3.7604 + $1.7415 + $2.1483
= $7.6502
Answer: to maximize profit the management must continue charging $40 per room because it will obtain a profit of $1,920 better than $1,870 if it rises the rate.
Step-by-step explanation:
<u>Profit without the increase</u>
60 (number of rooms) * $40 (rate per room) = $ 2,400
costs of day to service = 60 (rooms) * $8 (costs day to service)= $480
Total Profit = $2,400 - $480 = $1,920
<u>Profit with the increase</u>
55 (5 fewer than before) * 42 (rate with the increase) = $ 2,310
costs of day service 55 (rooms) * 8 ( costs day to service) = $440
Total Profit = $2,310 -$440 = $1,870
C is also the best answer
Answer: a) 2:1. b) 3. c) Perimeter of ΔEFG=36 Perimeter of ΔHIJ=18. d) 2:1
Step-by-step explanation:
a) Find the ratio of GF and JI. 16:8. Simplify by dividing both by 8 to get 2:1.
b) Set up this equation: 6/16=x/8. Cross-multiply. 6*8=48. Divide by 16. 48/16=3.
c) First find the length of one half of GF by dividing 16 by 2. 16/2=8. Set up the Pythagorean theorem. 8^2+6^2=c^2. Square 8 and 6. 64+36=c^2. Add 64 and 36. 100=c^2. Find the square root of 100. c=10.
EF and EG both measure 10 since they are shown to be congruent. 10+10+16=36.
Next find the length of one half of JI by dividing 8 by 2. 8/2=4. Set up the Pythagorean theorem. Since we know x=3, it will be 4^2+3^2=c^2. Square both 4 and 3. 16+9=c^2. Add 16 and 9. 25=c^2. Find the square root of 25. c=5.
HJ and HI both measure 5 since they are congruent. 5+5+8=18.
d) Find the ratio of the perimeters of ΔEFG and ΔHIJ. 36:18. Simplify by dividing both by 6 to get 6:3. Simplify further by dividing both by 3 to get 2:1.
