All categories

3 years ago

Please explain how to solve this problem

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

3 0

9514 1404 393

Answer:

20 pounds

Step-by-step explanation:

Often, mixture problems are worked by writing two equations: one for the total quantity of constituents in the mix, and one for the total price of the mix. When these equations are solved by substitution, the first step is to write one quantity in terms of the other.

You can save an equation and a step by using one variable for quantity. It usually works best to let the variable represent the highest-cost (or most concentrated) contributor. Here, that is the quantity the problem asks for, so ...

Let c represent the number of pounds of cashews needed to be mixed with the peanuts. Then the revenue from selling the mix is ...

80($1.50) +c($4.00) = (80+c)($2.00)

120 +4c = 160 +2c . . . . . divide by $, simplify

2c = 40 . . . . . . . . . . . . . subtract 120+2c from both sides

c = 20 . . . . . . . . . . . . . divide by 2

The manager should mix 20 pounds of cashews with the 80 pounds of peanuts.

You might be interested in

Whats the answer to y=3x+9

MakcuM [25]

Answer:

x=-3

Step-by-step explanation:

so you tryna get x by itself, so you are gonna do the opposite. so move nine over by subtracting it.

-9=3x

now you have to divide -9 by 3 to move it over

-2=x

7 0

3 years ago

Sasha buys two ribbons of equal length. She cuts 9 pieces of the same length, L, from the first ribbon and finds that 5 inches a

nikitadnepr [17]

Answer:

50 inches.

Step-by-step explanation:

Let the length of the each ribbon was x.

Now, she cuts 9 pieces of same length L which means total length is 9L.

Now, doing the same she was left with 5 inches of ribbon. Hence, we have

[tex[9L+5=x.....(1)[/tex]

Similarly, we can write a equation for the second situation.

$2L+40=x......(2)$

From equation 1 and 2,

$9L+5=2L+40\\\\7L=35\\\\L=5$

Plugging this value in equation 1,

$9(5)+5=x\\\\x=45+5\\x=50$

Therefore, the length of each ribbon when she bought them was 50 inches.

3 0

3 years ago

What is the sum of 4n² + 2n+ 12

Alex

Answer:

hope this helps <33

Step-by-step explanation:

2(2n^2+n=6)

6 0

3 years ago

Find the values of k so that each remainder is three. 10. (x^2+ 5x + 7) = (x + k)

Goryan [66]

Answer:

$k=1\text{ or } k=4$

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a binomial in the form (x - a), then our remainder will be P(a).

We are dividing:

$(x^2+5x+7)\div(x+k)$