Answer:
$42.12
Step-by-step explanation:
35% off means she has to pay:
100 - 35 = 65% of the marked price.
65/100 × 60 = 39
Tax: 8%
8/100 × 39 = 3.12
To pay:
39 + 3.12 = 42.12
Answer:
He should serve 2 chocolate bars and 2 granola bars
Step-by-step explanation:
Let's define
x: amount of chocolate bar
y: amount of granola bar
We are asked to solve the following optimization problem:
maximize 7*x + 2*y
subject to
50*x + 25*y ≤ 150
5*x + 15*y ≥ 40
x ≥ 0
y ≥ 0
In the figure attached, the feasible region is shown. The solution is one of the vertex
vertex objective function
(0, 2.667) 7*0 + 2*2.667 = 5.334
(2, 2) 7*2 + 2*2 = 18
(0, 6) 7*0 + 2*6 = 12
Answer:
There are 264 pints in 33 gallons.
Step-by-step explanation:
Because there are 8 pints in 1 gallon.
The rectangle problem:
First, create some variables.
w = width
l = length
Then you know that the length is 3 times the width, so
l = 3w
The equation for perimeter is
P = 2(l+w)
Now you use substitution, substituting the 3w for l because you found that earlier.
P = 2((3w) + w)
And simplify.
P = 2(4w)
P = 8w
And you know P = 30 because they told you that.
30 = 8w
w = 15/4 inches, or 3.75 inches
Now substitute that value back into that first equation,
l = 3w
l = 3(15/4)
l = 45/4 inches, or 11.25 inches.
The dimensions are 11.25in for length and 3.75in for width.
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The volleyball problem:
100 minutes of stretching and scrimmaging combined, and you know 10 have to be stretching, so 90 is scrimmaging.
s = scrimmaging
T = total time
s = 2/3T (they gave you this)
90 = 2/3T
T = (90*3)/2
T = 270/2
T = 135 minutes, or 2 hours and 15 minutes.
Answer:
see the attachments for answers
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