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
SSSSS [86.1K]
2 years ago
8

Dude is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound and almonds cost $5.25

per pound. How many pounds of macadamia nuts and how many pounds of almonds should dude use for the mixture to cost $7.75 per pound to make
Mathematics
1 answer:
pshichka [43]2 years ago
5 0

Number of pounds of macadamia nuts is 8 pounds and number of pounds of almonds is 4 pounds.

<u>Step-by-step explanation:</u>

Step 1:

Given total pounds of mixture = 12 pounds, cost of macadamia nuts per pound = $9, cost of almonds per pound = $5.25, total cost of mixture per pound = $7.75.

Let number of pounds of macadamia nuts be x and number of pounds of almonds be 12-x.

Step 2:

Form an equation using the above information.

⇒ 9x + 5.25 (12-x) = 12 × 7.75

⇒ 9x + 63 - 5.25x = 93

⇒ 9x - 5.25x = 30

⇒ 3.75x = 30

⇒ x = 8

Number of macadamia nuts is 8 pounds.

Step 3:

Calculate number pounds of almonds

⇒ Number of pounds of almonds = 12 - x = 4 pounds.

You might be interested in
a store received 500 containers of milk to be sold by Febuary 1. Each container the store sold $0.83 and sold for $1.67. The sto
FrozenT [24]
$409.80.

The amount of net profit the store makes on each container is given by 1.67-0.83 (the amount it is sold for subtracted by the amount it costs the store), which is $0.84 per container.  They sell 470 containers, so the net profit at this point is 470(0.84) = $394.80.

However, since the distributor is giving the store a $0.50 refund on all every container under 500 that the store sells, the store gets additional money back:

500-470 = 30 containers not sold
30(0.50) = 15

So the total profit is $394.80 + 15 = $409.80.
6 0
3 years ago
Perpendicular bisector of segment with endpoints -2,0 and 6,12.
BlackZzzverrR [31]
Slope= y^2-y^1
————
x^2-x^1

slope= 12-0
——-
6+2

slope= 12
—-
8

slope= 3/2

perpendicular slope is the opposite reciprocal

perpendicular slope= -2/3

6 0
3 years ago
True or False? <br> It's not possible to build a triangle with side lengths of 3, 3, and 3.
Aliun [14]
FALSE!\\\\thats\ triangle\ is\ equilateral\ triangle.

4 0
3 years ago
Read 2 more answers
Shania is buying a car. She has narrowed her choice down to three cars: a sedan, a hatchback, and a wagon. She uses a spinner di
Bess [88]

Answer:

its D

Step-by-step explanation:

8 0
3 years ago
Read 3 more answers
3 1/4 - 1 3/8 (please help)
viva [34]

In fix fraction it will be, 1 7/8

and the exact answer is 15/8

and in decimal from it will be, 1.875

3 0
2 years ago
Read 2 more answers
Other questions:
  • Mike has 9 lollipops, 6 peanut butter cups and 3 pieces of chocolate. If he divides the candy equally into 3 bags, how many piec
    14·2 answers
  • Use Cramer's Rule to find x in the system of equations below.
    8·1 answer
  • a d battery has a diameter of 32 millimeters and a length of 5.6 centimeters what is the lateral area of the battery
    8·1 answer
  • In this circle, AB is tangent to the circle at point B, AC is tangent to the circle at point C, and point D lies on
    15·1 answer
  • Carter's trampoline has a diameter of 10 ft. Its circumference is twice as great as the circumference of Reed's trampoline. What
    15·1 answer
  • Rectangle ABCD is similar to rectangle EFGH.<br> What is the value of s?
    13·1 answer
  • Please answer asap, its due in a couple days :3
    9·2 answers
  • Your answer should be in the formp (x) +k/x where p is a polynomial and k is an integer. 5x^2+x+7/x
    6·1 answer
  • Nona is building a rectangular patio extending outside her house, so one edge of the patio is along the wall of the house. The a
    7·1 answer
  • PLS HELP MEE
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!