Let r and s represent the number of times Caleb can ride the roller coaster and watch a show, respectively. The time Caleb needs to allow for each roller coaster ride is (wait time) + (ride time) = (30 +5) min = 35 min. Then we can write the equations
r - s = 3
35r +25s ≤ 345
Adding 25 times the first equation to the second, we get
25(r -s) +(35r +25s) ≤ 25(3) +(345)
60r ≤ 420 . . . . . . collect terms
r ≤ 7 . . . . . . . . . . . divide by 60
Caleb can ride a maximum of 7 roller coasters and watch 4 shows in 345 minutes.
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The problem can obviously be worked using two equations instead of one equation and an inequality. It isn't clear until the final answer that the number of minutes comes out exactly the amount needed, which is why we chose an inequality.
Answer:
Step-by-step explanation:
A. Linear- the add up to 180
B. 3x-5+2x+3+4x+2=180
9x=180
x=20
C. plug x in
ABD- 55, DBK- 82, KBC- 43
Answer:
The range will remain the same, and the sign of the domain(positive/negative) will switch.
Explanation:
(-x,y)
4. The value f issue is the quantity of shares multiplied by the price of each share.
25,000 shares x $9.20 = $230,000.
The answer is b.$230,000
5. Total selling expense would be the commission plus all the fees.
Multiply the value of issue by the commission percentage and then add the other costs.
230,000 x 0.065 = 14,950
14,950 + 1,985 = $16,935
The answer is a. $16,935
6. Divide the total selling expense by the number of shares:
750,000 / 900,000 = 0.83
The answer is d. $0.83
Answer:
B) 1/5
Step-by-step explanation:
P(R then Y) = 3/6 · 2/5 = 6/30 or 1/5 simplified
