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
Reil [10]
3 years ago
7

How many pounds of cashew nuts worth 75 cents a pound must be mixed with 10 pounds of pecans worth $1.50 a pound to make a mixtu

re worth $1.00 a pound? Which of the equations could be used to solve for p, the pounds of cashew nuts?
Mathematics
1 answer:
Trava [24]3 years ago
3 0
Let c represent the weight of cashews and p the weight of pecans.

Then c + 10 = total weight of the nut mixture.

An equation for the value of the mixture follows:

 $1.50(10 lb) + $0.75c = (c+10)($1.00)

Solve this equation for c:  15 + .75c = c + 10.  Subtract .75c from both sides:

15 = 1c - 0.75c + 10.  Then 5=0.25c, and c = 5/0.25, or 20.

Need 20 lb of cashews.


Check:  the pecans weigh 10 lb and are worth $1.50 per lb, so the total value of the pecans is $15.  The total value of the cashews is (20 lb)($0.75/lb), or $15.     Does (20 lb + 10 lb)($1/lb) = $15 + $15?  Yes.  So c= 20 lb is correct.
You might be interested in
Brian needs to start planning for an upcoming move. He is choosing two different size boxes to pack the majority of his stuff. T
GenaCL600 [577]

Solution:

Given,

Volume of the-

First cube box=1728 in³

Second cube box=13824in³

We know that volume of cube =a³

So for the first box

a³= 1728 in³

a= 12 in

Now, surface area of the first box

6a²= 6×(12)²

= 864 in²

and for the second box

b³= 13824 in³

b= 24 in

Now, the surface area of the second box

6b²= 6×(24)²

= 3456 in²

Now, the ratio of the surface area of first box to the second box will be

864:3456

=1:4

The surface area of the larger of two boxes is

3456 in²

5 0
3 years ago
Paul plans to buy a movie that has a regular price of $19.99. It is on sale for 25% off, but Paul will have to pay 6% sales tax.
marissa [1.9K]
B is your answer for this question
3 0
2 years ago
Read 2 more answers
A line passes the points (1,7) and (0,3)what is the equation in the slope intercept form ​
Katen [24]

Answer:

y = 4x+ 3

Step-by-step explanation:

3 0
3 years ago
Dominic has 12 children. he bought pizza for his kids. If each child ate 1/3 of pizza, how many pizzas did Dominic need to buy
Kazeer [188]

Answer:

  4

Step-by-step explanation:

If each of 12 kids ate 1/3 of a pizza, the amount eaten was ...

  12 × 1/3 pizza = 12/3 pizza = 4 pizza

Dominic needed to buy 4 pizzas.

7 0
2 years ago
Find the solution to the system of equations.
Anna [14]
No solution it’s infinite
5 0
2 years ago
Other questions:
  • When completing the square on the equation c 2 + 11c = 12, the resulting solution is:
    6·2 answers
  • Solve x(−2) 2 =4(−2)
    9·1 answer
  • Convert 13/8 to a mixed number
    9·2 answers
  • A rectangular prism has a length of 414 in., a width of 3 in., and a height of 114 in.
    6·2 answers
  • 2 − 10n = 2 + 4n<br> What does n equal?
    14·2 answers
  • suppose that a biologist is watching a trail known for wildebeest migration. During the first minute, 24 wildebeests migrated pa
    9·1 answer
  • Write 375 as a product of it's Prime Factors<br> Give your answer in Index form.
    8·1 answer
  • Determine the probability of rolling a number that is not even.
    13·2 answers
  • Factor by grouping.
    15·1 answer
  • On December 31, 2019, Akron, Inc., purchased 5 percent of Zip Company's common shares on the open market in exchange for $16,050
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!