Answer:
35%
Step-by-step explanation:
See attached for visual
- 160= 8*20
- 8 = 1/20 = 5% of 160
- 56= 8*7
- 7*5% = 35%
56 is 35% of 160
Answer:
$15
Step-by-step explanation:
Let's start by figuring out how much 1 cup of oil costs.
12 cups of oil is 36$
Let's set up a proportion.
12/36=1/x
Cross Multiply
12x=36
Divide both sides by 12.
x=3
1 cup of oil is $3.
Dinesh makes 5 batches of hummus, and each batch requires 1 cup of oil.
5*1=5
This means he needs 5 cups of oil.
5*3=15
He used $15 worth of oil in the 5 batches of his recipe.
However, since it is impossible to buy 5/12 bottles of oil, he would have needed to spend $36.
Answer:
454
Step-by-step explanation:
set up a system of equation
let y be the number of students
let x be the number of adults
because there are twice the amount of students attended as adults, we can use y=2x as one equation
the other equation will be 6.5y+9x=4972 because this represents the total amount of money
plug 2x for y : 6.5(2x)+9x=4972 : x=226
plug 226 in for the first equation : y=2(226) : y=452
<u>Answer</u>
3.5 hours.
<u>Explanation</u>
The first step is to calculate the constant of proportionality.
t ∝ 1/n
t = k/n Where t = time, K= constant and n = number of people
t = k/n
k =tn
= 5×7 = 35
The equation becomes;
t = 35/n
for n = 10,
t = 35/10
t = 3.5 hours.
Answer:
11.99 ft
Step-by-step explanation:
The formula for the volume of a cyl. of radius r and height h is V = πr²h.
Solving this immediately for h yields:
V
h = ----------
πr²
Inserting the known quantities results in:
V 1356.48 ft³
h = ---------- = ---------------------- Note that r = (1/2)d, so r = (1/2)(12 ft) = 6 ft
πr² 3.14159 (6 ft)²
= 11.994 ft
The height of the cyl. is 11.99 ft (to the nearest hundredth foot)
