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
Please help me with this problem
Alexus [3.1K]
(a) It is leaking 18 liters per minute.

Explanation : From 15 minutes to 20 minutes, your starting point at 15 is 590 liters and at 20 you have exactly 500. Next you have 25 which is now at 410. So it's leaking 90 liters every five minutes, so of course dividing the two (90 ÷ 5) you get 18.

(a)² it increases for about the same time that it would decrease of course.

(b) The vat started at 860 liters before they started draining it.

Explanation : Well, all it takes is just working backwards, add 90 liters to the liters at 15 minutes and deduct five minutes from 15. Do this process until you arrive at 0. It's simple
7 0
3 years ago
An elementary school is in a growing suburb. The schools principal estimates that the current enrollment of 750 students will in
Murrr4er [49]

Answer:

Step-by-step explanatio2+2 21n:

7 0
3 years ago
​ 0.5(6d+10)=17 what is the value of d
mezya [45]
The value of D should be 4

4 0
3 years ago
Which is the solution of this system of equations? y=5x−83y=x+18<br><br> y+5(3)=15
Ulleksa [173]

Answer:

y=5x−83y=x+18    (the question is wrong; it has 2 equal signs)

y+5(3)=15

y+15=15   (multiply 5*3; you get 15)

y= 15-15

y= 0

7 0
3 years ago
The key idea of the transformation called a reflection is the rotating of a plane about a fixed point. true or false
Dennis_Churaev [7]

Answer: The answer is true your welcome

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Out of 340 racers who started the marathon, 316 completed the race, 18 gave up, and 6 were disqualified. What percentage did not
    13·1 answer
  • Find the quotient.<br> thank you
    7·2 answers
  • Mr. Wells runs a telecommunications company. While going through the company's project records, he found that there were 8 engin
    11·1 answer
  • A hovercraft takes off from a platform. Its height (in meters), xx seconds after takeoff, is modeled by: h(x)=-2x^2+20x+48h(x)=?
    6·2 answers
  • What can you add to get 18 but multiply to get 180
    7·1 answer
  • How can you apply the distributive property to factor out the greatest common factor for 40j - 16 = ?
    8·1 answer
  • Write 55% as a decimal and as a fraction.
    8·2 answers
  • The equation for a parabola has the form y = ax^2 + bz + c, where a, b, and c are constants and aメ0. Find an equation for the pa
    12·1 answer
  • How to construct angle 90 degrees ?<br> Will mark brainliest
    10·1 answer
  • Rewrite 9cos 4x in terms of cos x.
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!