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tankabanditka [31]
3 years ago
6

A farm stand wants to sell fruit to local grocery stores in packages with baskets of apples, worth $10 apiece, and baskets of pe

aches, worth $13 apiece. The owner wants each package to include 50 baskets total, and he wants to sell each package for $566. How many baskets of apples and how many baskets of peaches should he put in each package?
A. 13 apples, 10 peaches
B. 22 apples, 28 peaches
C. 28 apples, 22 peaches
D. 10 apples, 13 peaches
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0
The answer is B 22 apples and 28 peaches
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Please help me :)))))
svetoff [14.1K]
Part a)

Answer: 5*sqrt(2pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi

Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"

============================================================

Part b)

Answer: 3*sqrt(3pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi

Note: the same issue comes up as before in part a)

============================================================

Part c)

Answer: sqrt(19pi)/pi

-----------------------

Work Shown:

r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
8 0
3 years ago
Read 2 more answers
Zack wants to make a profit of more than $300 for painting 4 identical rooms. The profit he
juin [17]

Answer: n-4(32.5) > 300;n > 430tep-by-step explanation:

Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is

Profit > $300

the profit he makes is equal to the amount he is paid - the cost of supplies. The cost of supplies is $32.50 for each room. That is

n - 32.5 and

P + 32.5 × 4

Where 4 = number of rooms

P + 130

n-4(32.5) > 300;n > 430tep-by-step explanation:

given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is

Profit > $300

Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is

n - 32.5 and

P + 32.5 × 4

Where 4 = number of rooms

P + 130

The minimum profit = 300 + 130 = $430

n-4(32.5) > 300;n > 430 430

7 0
3 years ago
Evaluate each expression if x=6,y=8,z=3<br> 2x+3y-z=
Savatey [412]
x=6,\ \ y=8,\ \ z=3\\\\2x+3y-z=2\cdot 6+3\cdot 8-3=12+24-3=33




3 0
3 years ago
Read 2 more answers
Z=<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx%2By%7D%7Bmx%7D" id="TexFormula1" title="\frac{x+y}{mx}" alt="\frac{x+y}{mx}" ali
madam [21]

Answer:

3986639:3--22×83---*

6 0
3 years ago
Help mee!! NO FAKE ANSWERS OR LINK OR I WILL PRESS THE REPORT THIS COMMENT!!!!! Thanka the image is above! ​
inessss [21]
13.125 cubic inches
4 0
3 years ago
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