1. You have the following information given in the problem above:
- Ella mixed<span> two kinds of candy the price of which was $2 and $4 per pound.
- Ella got a 10-lb mix of candy, which cost $2.90 per pound.
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2. Therefore, let's call:
x: pounds of the first kind of candy.
y: pounds of the second kind of candy.
3. Then, you have:
2x+4(10-x)=(2.90)(10)
4. When you clear x, you obtain:
2x+40-4x=29
-2x=29-40
x=-11/-2
x=5.5 pounds
x+y=10
y=10-x
y=10-5.5
y=4.5 pounds
$2,346.89 + $500 + $1,456.81 = $4,303.70
$4,303.70 - $324.56 - $25.50 - $78.92 - $30.25 - $60 - $60 - $60 = $3,664.47
$3,664.47 is exactly what they have in their checkbook.
Answer:
5in by 5in by 5in
Step-by-step explanation:
We are not told wat to find but we can as well find the dimension of the prism that will minimize its surface area.
Given
Volume = 125in³
Formula
V = w²h ..... 1
S = 2w²+4wh ..... 2
w is the side length of the square base
h is the height of the prism
125 = w²h
h = 125/w² ..... 3
Substitute eqn 3 into 2 as shown
S = 2w²+4wh
S = 2w²+4w(125/w²)
S = 2w²+500/w
To minimize the surface area, dS/dw = 0
dS/dw =4w-500/w²
0= 4w-500/w²
Multiply through by w²
0 = 4w³-500
-4w³ = -500
w³ = 500/4
w³ =125
w = cuberoot(125)
w = 5in
Get the height
125 =w²h
125 = 25h
h = 125/25
h = 5in
Hence the dimension of the prism is 5in by 5in by 5in
Answer:
8 hours
Step-by-step explanation:
First, let's find how much Bentley gets from clearing tables.
5 hours • $8 per hour = $40 total
We can take $40 off his $180 total, leaving the rest for when we figure out how much he needs to work lifeguarding.
$180 needed - $40 earned = $140 left to earn
We know that Bentley makes $18 an hour lifeguarding, so in order to get the number of hours he would need to work in order to make $140, we can divide it by $18.
$140 needed ÷ $18 per hour = 7.77...
We need to convert this to a whole number because we're talking about hours worked, so Bentley would need to work 8 hours lifeguarding to make $140 more. He can only work 15 hours total, so let's check if this exceeds his limit.
5 hours clearing tables + 8 hours lifeguarding = 13 hours < 15 hours max
It is possible to make $180 total from this work schedule, so your answer would be 8 hours.
