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
Agata [3.3K]
3 years ago
11

A snack company makes three batches of a nut mix using the recipe shown.

Mathematics
1 answer:
Aneli [31]3 years ago
4 0

Answer:

how much of each type of nut should be used in each batch.

1/3 of the mix is almonds

1/6 is pistachios

1/2 is cashews

the first batch is

P.1cup

A.2cup

C.?

Batch 2 is

P.?

A.2/3

C.1

the Third batch is

P.4/6

A.?

C.?

The answers are Batch 1:  3 cups cashews; Batch 2:  1/3 cup pistachios; Batch 3:  4/3 cups almonds and 2 cups cashews

Step-by-step explanation:

Let’s represent the total amount of mix with y

Batch 1

Since the amount of pistachios is 1/6 of the total and that is 1 cup which gives us

1/6y = 1

The next step is to multiply both sides by 6:

1/6y(6) = 1(6)

y = 6

We have 6 cups total.  1/2 of the mix is cashews which mean 1/2(6) = 3 cups is cashews.

Batch 2

Since the amount of almonds is 1/3 of the total and that is 2/3 of a cup which gives us

1/3y = 2/3

The next step is to multiply both sides by 3:

1/3y(3) = 2/3(3)

y = 6/3 = 2

There are 2 cups of mix total.

1/6 of the mix is pistachios; this gives us 1/6(2) = 2/6 = 1/3 cup pistachios.

Batch 3

Since the amount of pistachios is 1/6 of the total mix and that is 4/6 of a cup which means

1/6y = 4/6

The next step is to multiply both sides by 6:

1/6y(6) = 4/6(6)

y= 24/6 = 4

Since there are 4 cups of mix total, we have  

1/3 of the mix is almonds which gives us 1/3(4) = 4/3 cups almonds.  

1/2 of the mix is cashews which gives us 1/2(4) = 2 cups cashews.

You might be interested in
Solve for x and y<br><br><br><br> Please help!!!
shtirl [24]

Answer:

x = 18 and y = 11

Step-by-step explanation:

The angles 6x - 16 and 92 are vertical angles and congruent, thus

6x - 16 = 92 ( add 16 to both sides )

6x = 108 ( divide both sides by 6 )

x = 18

Angles 8y and 92 form a straight angle and are supplementary, thus

8y + 92 = 180 ( subtract 92 from both sides )

8y = 88 ( divide both sides by 8 )

y = 11

6 0
3 years ago
After a baseball game, both the winning and losing teams went to the same fast food restaurant. The winning team bought 24 hambu
Radda [10]
24h + 18f = 88.50
28h + 9f = 88.25.....multiply by -2
---------------------
24h + 18f = 88.50
-56h - 18f = - 176.50 (result of multiplying by -2)
--------------------add
-32h = - 88
h = -88/-32
h = 2.75 <===
7 0
3 years ago
Find the difference in simplest form for 3/5-1/7
morpeh [17]

Answer: 0.457

multiply 3 by 7, and get 21

multiply 1 by 5, and get 5.

5 × 7 = 35.

fraction: 21/35 and 5/35

Subtract the numerators

21 − 5 = 16 = 16/35

Now we need to simplify the fraction that we have.

17 is larger than 16. So we're done reducing numbers.

<em>Our final answer: </em>16/35<em />

Hope this helps!

I am joyous to assist anytime.

<em>~Jarvis</em>

<em />

<em>  </em>

8 0
3 years ago
When did the eastern part of the Roman Empire fall?
Bumek [7]
The eastern roman empire/ Byzantine Empire fell in 1453. hopefully this helps.
4 0
3 years ago
Let f(x) = x – 3 and g(x) = x + 11. Find f(x) • g(x).. . A] x2 – 8x – 33. . B] x2 – 8x + 14. . C] x2 + 8x + 14. . D] x2 + 8x – 3
Katarina [22]
F(x) = x-3 and g(x) = x+11 

f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33 

so choice D. is right 

hope helped 
3 0
3 years ago
Read 2 more answers
Other questions:
  • I don't understand this. Please help!:::: Provide an answer for a, b, c, and d.
    11·1 answer
  • The area of a triangular block is 64 in.². If the base of the triangle is twice the height how long are the base and the height
    14·1 answer
  • Which could the coordinates of the vertices of the following isosceles trapezoid centered in the origin, with base 2a and OR=c?
    12·1 answer
  • Find the vertex of the following parabola. please write your answer in the form: (x,y) with no spaces. (So a vertex of 2,1 would
    7·1 answer
  • Solve:- h/88 - 4/8 = 4/8.
    6·2 answers
  • A colony of 10,000 ants can
    12·2 answers
  • 12y-28=14x and 0=10y+22+9x solve using substitution
    8·1 answer
  • A furniture rental store charges a down-payment of $100 and $72.50 per month for a table. Hilde paid $535 to rent the table. Sol
    5·1 answer
  • Dan sleeps 8 hours each day. Write a simplified expression for the number of
    15·1 answer
  • Another math question for you guys
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!