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Strike441 [17]
3 years ago
6

Delaney would like to make a 10 lb nut mixture that is 60% peanuts and and 40% almonds. She has several pounds of peanuts and se

veral pounds of a mixture that is 20% peanuts and 80% almonds. Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
(a) What is the system that models this solution?
(b) Which of the following is a solution to the system: 4 lb peanuts and 6 lb mixture; 5 lb peanuts and 5 lb mixture; 8 lb peanuts and 2 lb mixture? Show your work.
Mathematics
1 answer:
vazorg [7]3 years ago
7 0

Answer:

If there is "p" pounds of peanuts and "m" pounds of '20% peanuts and 80% almonds' mixture, then, we can get the following equations,

p + m = 10 -----------(1) and

4m/5 = 4 ------------(2)

whose solution is 5 lb peanuts and 5 lb mixture.

Step-by-step explanation:

In the mixture which Delaney wants to make there would be

\frac {10 \times 60}{100} lb

= 6 lb of peanuts

So, there will be (10 - 6) lb  

= 4 lb of almonds

If  Delaney has "p" pounds of peanuts and "m" pounds of the '20% peanuts and 80% almonds' mixture, then according to the question,

p + m = 10 -----------(1) and

4m/5 = 4 ------------(2)

So, from (2),

m = 5 --------------(3)

So, from (1) and (3) ,

p = (10 - 5) = 5  

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4(v+7) = -6(3v-4) +8v<br>​
xxTIMURxx [149]

Answer:

v=−27

Step-by-step explanation:

Since v is on the right side of the equation, switch the sides so it is on the left side of the equation.

−6(3v−4)+8v=4(v+7)

Simplify −6(3v−4)+8v

−10v+24=4(v+7)

Simplify 4(v+7).

−10v+24=4v+28

Move all terms containing v to the left side of the equation.

−14v+24=28

Move all terms not containing v to the right side of the equation.

−14v=4

Divide each term by −14 and simplify.

v=−27

The result can be shown in multiple forms.

Exact Form:

v=−27

6 0
2 years ago
Pleas help me:)thank you so much&lt;3
malfutka [58]

Step-by-step explanation:

ratios of lengths = 4/3

ratios of area = 16/9

plz mark my answer as brainlist plzzzz vote me also plzzzz .... Hope this helps you ...

6 0
2 years ago
A store manager orders T-shirts so that 15 out of every 35 are a medium. How many medium T-shirts would you expect to find where
konstantin123 [22]
The answer would be 54 medium T-shirts out of the 126 on the rack
4 0
3 years ago
MARK AS BRAINLIEST
labwork [276]

Answer:

C [-2 < x]

Step-by-step explanation:

-6(x - 2) < 24

________ ___

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+ 2 + 2

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x > -2

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