a store mixes red fescue worth $12 per pound and chewings fescue worth $16 per pound. The mixture is to sell for $15 per pound. Find out how much of each should be used to make a 552- pound mixture.

Answers

Answer 1

Answer:

Answer is: 414 pounds of red fescue and 138 pounds of chewings fescue is needed to produce 552 pounds of mixture.

Explanation:
x - how much of red fescue is needed for one pound of mixture
y - how much of chewings fescue is needed for one pound of mixturex*12+ y*16 = 15x + y = 1
so, x=1-y
putting it into first line:(1-y)*12 + y*16 = 15
12 - 12*y + 16*y = 15
4*y = 3
y=3/4
so, x= 1-3/4; x=1/4So to produce 552 pounds of mixture we need..To produce 1 pound of mixture we need: 3/4 pound of red fescue and 1/4 pound of chewing fescue so to produce 552 pounds of miture we need:
552*3/4 - red fescue, which is 414 pounds needed
and
552/4 - chewings fescue, which is 138 pounds needed

Answer 2

Answer:

Answer:

e+ f = 8 (total solution)

8e + 56f = 20*8 (total saline)

---

e+ f = 8

e + 7f = 20

------------ Subtract

-6f = -12

f = 2

e = 6

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The container that holds the water for the football team is 2/3full. After pouring out 4 gallons of water, it is 4/9full. How many gallons can the container hold?

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PLEASE HELP! TRYING TO FINISH MATH EARLY! PLEASE ACTUALLY ANSWER, AND NOT JUST TAKE THE POINTS! Thank You! ;3(05.06 MC)
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:

y > −4x − 1
y is less than 3 over 2 times x minus 1

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area.

Part B: Is the point (−1, −1) included in the solution area for the system? Justify your answer mathematically.

Answers

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Simplify (6x2 − 3 + 5x3) − (4x3 − 2x2 − 16).2x3 − x2 + 21
−2x3 + x2 − 21
x3 + 8x2 + 13
−x3 − 8x2 + 13

Answers

If you would like to simplify (6x^2 − 3 + 5x^3) − (4x^3 − 2x^2 − 16), you can calculate this using the following steps:

(6x^2 − 3 + 5x^3) − (4x^3 − 2x^2 − 16) = 6x^2 − 3 + 5x^3 − 4x^3 + 2x^2 + 16 = x^3 + 8x^2 + 13

The correct result would be x^3 + 8x^2 + 13.

Answer:

Simplified form of $(6x^(2)-3+5x^(3))-(4x^(3)-2x^(2)-16)$ is $1x^(3)+8x^(2)+13$ .