1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slavikrds [6]
3 years ago
7

A manager bought 12 pounds of peanuts for $30. He wants to mix $5 per pound cashews with the peanuts to get a batch of mixed nut

s that is worth $4 per pound. How many pounds of cashews are needed
Mathematics
1 answer:
seraphim [82]3 years ago
4 0

Answer:

18 pounds of cashews are needed.

Step-by-step explanation:

Given;

A manager bought 12 pounds of peanuts for $30.

Price of peanut per pound P = $30/12 = $2.5

Price of cashew per pound C = $5

Price of mixed nut per pound M = $4

Let x represent the proportion of peanut in the mixed nut.

The proportion of cashew will then be y = (1-x), so;

xP + (1-x)C = M

Substituting the values;

x(2.5) + (1-x)5 = 4

2.5x + 5 -5x = 4

2.5x - 5x = 4 -5

-2.5x = -1

x = 1/2.5 = 0.4

Proportion of cashew is;

y = 1-x = 1-0.4 = 0.6

For 12 pounds of peanut the corresponding pounds of cashew needed is;

A = 12/x × y

A = 12/0.4 × 0.6 = 18 pounds

18 pounds of cashews are needed.

You might be interested in
This is a point at which a graph intersects the y-axis. Example: (0, 5) for the equation y = x + 5.
faltersainse [42]
The point where a graph intersects the y-axis is called the y-intercept.

Hope this helps!
Your fortune is "You will find something that you have lost before."
3 0
3 years ago
BEST ANSWER GETS BRAINLIEST!! PLEASE HELP
tester [92]
Just keep going down 3? I don't see how math is needed here. I'm also not sure if we can create graphs. 
5 0
3 years ago
What is the measure of the smallest angle in the triangle whose vertices are D(4,1), E(4, -2), and F(-2, -2)? Round to the neare
Diano4ka-milaya [45]
27 
I hope this is right
8 0
3 years ago
What is the length and width of a room that is 60 square meters and has a perimeter of 32 meters
AleksAgata [21]
L = lenght
W = width

L * W = 60 \\
2L + 2W=32\\\\
L = \frac{32-2W}{2}\\
\frac{32-2W}{2}*W = 60\\
(16-W)*W = 60\\
-W^{2} + 16W -60 = 0\\\\

d = 16^{2} - 4*1*60 =  256 - 240 = 16 \\\\
W1 = \frac{-16+\sqrt{16}}{-2} =  \frac{-12}{-2} = 6\\
W2 = \frac{-16-\sqrt{16}}{-2} =  \frac{-20}{-2} = 10\\

L1 = 10\\
L2 = 6\\


so

{L,W} = {6,10} or {10,6}

but L > W  so

L = 10
W = 6
7 0
3 years ago
Triple a number, x, increased by 1 is between -20 and 10. What are the solutions for x?
Bumek [7]
Hello,
-20 \leq 3x+1 \leq 10\\
\Rightarrow\ -21 \leq 3x \leq 9\\
\Rightarrow\ -7 \leq x \leq 3\\

Sol=[-7\ 3]\ if\ x\ is\ a\ real.


3 0
2 years ago
Other questions:
  • Find the slope<br> (-1,7)(5,7)
    7·1 answer
  • What is the equation 3y – 6x = 9 written in the form y=mx+b ?
    11·1 answer
  • Subtract:<br> 6 - 4 =<br> Submit
    11·1 answer
  • You want a credit card that will help you save money on purchases. What is one way that you can save money with a credit card?
    10·2 answers
  • Complete the following statement.<br> 16/<br> = -8
    8·2 answers
  • 9. The Brightline train travels 204 miles in 3 hours, moving at a constant
    12·1 answer
  • Plot and connect the points A(-6, 2), B(3, -6), C(-6, -6), and find the area of the triangle formed.
    8·1 answer
  • One yard is the same as A.12 inchs. B.24 inches. C.3 feet. D.1 foot​
    6·1 answer
  • Question 4 (5 points)
    15·1 answer
  • Need help. <br>Please show your work if possible!!​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!