Delaney would like to make a 5lb mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several 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 situation?
(b) How many pounds of peanuts and how many pounds of the 80% almond-20% peanut mixture will she need?

Answers

Answer 1

Answer: This is a mixture problem. Let's call the mixture of

20%peanuts - 80% almonds as mixture A

Let's call the

100% peanuts as mixture B

and the

60% peanuts - 40% almonds as mixture C

Since we get mixture C by adding mixture A and B together, we know that the amount in pounds of mixture A and mixture B is 5 pounds.

Hence we

let m be the amount in pounds of 20%peanuts-80% almonds mixture, or mixture A

and

50-m be the amount in pounds of mixture B

So, the system of equations that models this situation is:

0.20m + 1(50-m) = 0.60(5)
0.80m + 0(50-m) = 0.40(5)

Solving for m using equation 2 gives us

m = 2.5 lb.

That means it will take 2.5 lb of mixture A (20%peanuts-80%almonds) and 2.5 lb of mixture B (100%peanuts) to form 5 lb of mixture C (60%peanuts-40%almonds).

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you lose 5 points for every wrong answer in trivia game. what interger reprsents the change in your points after answering 8 points wrong?

Answers

-40 points would be the integer

Ashley brought 7/8 gallon of lemonade to the party.Her friends drank 2/3 of it. How many gallons of
lemonade did they drink?

Answers

Ashley's friends of Ashley drank 7/12 gallons of lemonade.

What is a fraction?

A fraction is a part of the whole represented by a/b, where a and b are any integers

Given that, Ashley brought 7/8 gallons of lemonade to the party, and her friends drank 2/3 of it, therefore,

Her friend drank = 2/3of 7/8

=2/3 ×7/8

= 7/12

Hence, Ashley's friends of Ashley drank 7/12 gallons of lemonade.

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7/8 - 2/3 = 5/24 is the correct answer of the question

How do I solve
PV = nRT for T

Answers

Answer:

PV+=+nRT divide both sides by nR

PV/NR

Step-by-step explanation:

There goes the right problemWhat is the perimeter of rectangle EFGH shown on the coordinate plane?

Answers

the area is 8 blocks it is 2*4=8

What is the value of the expression 2w-2 when 5=w

Answers

The required value of the expression 2w - 2 when w = 5 is 8.

Given that,
what is the value of the expression 2w-2 when 5=w is to be determined.

What is arithmetic?

In mathematics, it is defined as the number of operations performed according to the statements.

What is simplification?

The method in mathematics to work and interpret the functions or expressions to make the functions or expressions simple or more understandable is called simplifying and the process is called simplification.

Here,
The given expression is 2w - 2
W = 5
= 2 * 5 - 2
= 10 - 2
= 8

Thus, the required value of the expression 2w - 2 when w = 5 is 8.

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2w - 2
w = 5

2(5) - 2
10 - 2 = 8

The value would be 8

(1,4) (3,8) and (6,y). What is the value of y?

Answers

The formula for point slope form is:

y − y1 = m(x − x1)
where (x1,y1) is a point on the graph and m=slope

now lets solve for the slope of our points: (1,4) (3,8)

Slope=y2-y1/x2-x1=8-4/3-1=4/2=2

Now we can plug our information into the equation

y − y1 = m(x − x1)
y-4=2(x-1)

Now lets convert it to slope intercept form

y-4=2(x-1)
add 4 to both sides
y=2(x-1)+4
y=2x-2+4
y=2x+2

Now we can solve for the missing y value in (6,y) by plugging in the x value.

y=2x+2
y=2(6)+2
y=12+2
y=14

So the ordered pair would be (6,14)

Answer=14

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