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
swat32
3 years ago
13

A man sells a type of nut for $7 per pound and a different one for $4.20 per pound, how much of each type should be used to make

24 pound mixture that sells for $5.37
Mathematics
2 answers:
adelina 88 [10]3 years ago
7 0

Answer:

type of nut = 10.

Different type of nut = 14.

Step-by-step explanation:

1 pound = $5.37

24 pound = 5.37 * 24

= $128.88.

Let X be the type of nut and Y be the different one.

Value of the nuts in dollars,

i. 7X + 4.2Y = 128.88

Weight of the nuts in pounds,

ii. X + Y = 24

Rearranging ii,

X = 24 - Y inputting into i,

7(24 - Y) + 4.2Y = 128.88

168 - 7Y + 4.2Y = 128.88

2.8Y = 39.12

Y = 14

Inputting the value of Y into ii,

X = 24 - 14

= 10

qwelly [4]3 years ago
5 0

Answer:

a type nut is 10 pounds

a different one is 14 pounds

Step-by-step explanation:

let a type of the nut be represented by t

Let a different one be represented by d

a type of nut cost $7 per pound

a different one cost $4.20 per pound

The cost of the mixture for 24 pounds = 5.37 * 24

= $128.88

t + d = 24 ........(1)

7t + 4.2d = 128.88 ..........(2)

From equation (1), t = 24 - d

Put t = 24 - d in equation 2

7(24 - d) + 4.2d = 128.88

168 - 7d + 4.2d = 128.88

168 - 2.8d = 128.88

-2.8d = 128.88 - 168

-2.8d = -39.12

d = -39.12 / -2.8

d= 13.97

d = 14 pounds

t = 24 - d

t = 24 - 14

t = 10 pounds

A type nut is 10 pounds. A different one is 14 pounds

You might be interested in
Please help with algebra
gregori [183]

Answer:

54%

Step-by-step explanation:

6 0
2 years ago
Christina earns $250 a week. To budget money, she pays $135 in bills each week. How much money does Christina have left at the e
Rama09 [41]

Answer:

460 USD

Step-by-step explanation:

monthly earnings = 250 x 4 = 1000

monthly bills = 135 x 4 = 540

end of month = 1000 - 540 = 460 USD

7 0
3 years ago
A flagpole casts a shadow 10ft long, a girl standing next to the flagpole casts a shadow 2.5ft long if the girl is 5ft tall how
goldenfox [79]
5/2.5 = 2
10*2 = 20ft

The flagpole is 20ft tall.
5 0
3 years ago
Please help ill give brainliest if correct ;)
lord [1]
Subduction should be added to divergent boundaries
8 0
3 years ago
I need to convert this volume to litres The Spirit of America Goodyear blimp has a volume of 2.027×105ft3. Im given that mass/de
Anna71 [15]

Well, there's 28.3168466 liters in 1 cubic foot.

So your volume would be divided by that number. 2.027*105 ft3 / 28.3168466 = ? 

 Plug it in and that should be your answer in liters!

7 0
3 years ago
Other questions:
  • Use the given equation to find the solution to the following problem. The equation 9.95 + 0.30s = c gives the cost c in dollars
    7·1 answer
  • How do you write 9,800,100 in expanded form using exponents?
    9·1 answer
  • 6 − x = −12<br><br> A) -18<br><br> B) -6<br><br> C) 0<br><br> D) 18
    8·2 answers
  • Is 3/12 less than 2/3
    6·2 answers
  • Beth has 250 comic books in her collection. She begins to sell 20 of them each week. Martin has 80 comic books in his collection
    11·1 answer
  • A surfer is riding a 7 foot wave. The angle of depression from the surfer to the shoreline is 10 degrees. What is the distance f
    7·2 answers
  • 4 The rate of compound interest is 7.5%. How long will it take for an investment of $4500 to
    5·1 answer
  • This is the last question on my DBA! Please help!!
    5·1 answer
  • Joseph has $60 in a savings account. Each week he deposits $12 in the account.
    15·1 answer
  • (Look at picture above) Find the volume of the cone. Round your answer to the nearest tenth. 9 yd 7 yd The volume of the cone is
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!