Answer:
the answer would be 90
Step-by-step explanation:
100 giants fills 5/8 (100/160) of the theater leaving 3/8 of the theater for the elves.
3/8 times 240 elves is 90 elves.
If there were 150 elves that would also be 5/8 filled plus the original 5/8 filled with 100 giants! Some elves might suffer!!!
Answer: Daniel bought 3 apples and 7 bananas.
Step-by-step explanation:
Let x represent the number of apples that Daniel bought.
Let y represent the number of bananas that Daniel bought.
He bought a total of 10 apples and bananas altogether. This means that
x + y = 10
Daniel and his children went into a grocery store and he bought $10.15 worth of apples and bananas. Each apple costs $1.75 and each banana costs $0.70. This means that
1.75x + 0.7y = 10.15 - - - - - - - - - - - 1
Substituting x = 10 - y into equation 1, it becomes
1.75(10 - y) + 0.7y = 10.15
17.5 - 1.75y + 0.7y = 10.15
- 1.75y + 0.7y = 10.15 - 17.5
- 1.05y = - 7.35
y = - 7.35/- 1.05
y = 7
x = 10 - y = 10 - 7
x = 3
The function
describes a parabola with vertex = (5, 3).
The graph of the function is attached.
(a) Kellie’s minutes-per-mile pace was faster than Ashley’s minutes-per-mile pace.
True
10/75 = 0.14
15/120 = 0.13
(b) Kellie ran 8 mph.
True
10 ÷ 1.15 = 8
(c) Ashley ran 12 mi in 90 min.
False
Speed = 7.5 mph
7.5 × 1.5 = 11.25 mi
Answer:
35 red marbles
Step-by-step explanation:
So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.
