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Goryan [66]
3 years ago
11

Kendra's water bottle contains 2 quarts of water she wants to add drink mix to it but the directions for the drink mix give the

amount of water in fluid ounces how many fluid ounces are in a bottle
Mathematics
1 answer:
Mila [183]3 years ago
7 0
64 fluid ounces in 2 USA Quarts of water
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17. The owner of an organic fruit stand also sells nuts. She wants to mix cashews worth $5.50 per pound with peanuts worth
exis [7]

Answer:

E

Step-by-step explanation:

Let's let c denote the amount of cashews and let's let p denote the amount of peanuts.

So, the owner wants to mix cashews worth $5.50 per pound with peanuts worth $2.30 per pound to get a 1/2 pound mixture that is worth $2.80 per pound.

In other words, the total pounds as an equation is:

c+p=0.5

Also, the price would be:

5.5c+2.3p=(p+c)2.8

Since we mixed the peanuts and cashews, our sum would be 2.8(p+c).

And we already determined that p+c is 0.5. Thus, substitute:

5.5c+2.3p=(0.5)(2.8)

Simplify:

5.5c+2.3p=1.4

Now, we can solve the system of equations. Isolate a variable from the very first equation:

c+p=0.5

Subtract p from both sides:

c=0.5-p

Now, substitute this into the equation earlier:

5.5c+2.3p=1.4\\5.5(0.5-p)+2.3p=1.4

Distribute:

2.75-5.5p+2.3p=1.4

Combine like terms:

2.75-3.2p=1.4

Subtract both sides by 2.75:

-3.2p=-1.35

Divide everything by -3.2:

p=0.412875

Now, find c:

p+c=.5

Substitute:

c+0.421875=.5

Subtract:

c=0.078125

Thus, the owner would need 0.08 pounds of cashews and 0.42 pounds of peanuts.

Our answer is E.

6 0
3 years ago
What is the value of x in the following? 40x + 7=2x × 12 - 16​
Mumz [18]

Answer:

x = -1.4375

Step-by-step explanation:

Multiply the monomials: 40x + 7 = 24x - 16

Rearrange unknown terms to the left side of the equation: 40x-24x=-16-7

Combine like terms: 16x=-16-7

Calculate the sum or difference: 16x = -23

Divide both sides of the equation by the coefficient of variable: x = -23÷16

Calculate the product or quotient: x=-1.4375

8 0
2 years ago
100 points and i will mark brainiest. <br> What is 131072 divided by 2 to the power of 4
Ludmilka [50]

Answer:

1942

Step-by-step explanation:

31072 / (2^4) = 31072

Hope This Helped

4 0
1 year ago
Read 2 more answers
what is the area in square centimeters of the trapezoid below the height is 6.4 and the base is 12.9 and 8.6
Leona [35]
Hello!
----------
The area in square centimeters is 68.8.
----------
Have a great day!
4 0
3 years ago
Read 2 more answers
1 + 2 + 3 + 4 + 5 + . . . is an example of a finite series.
Andreyy89

Answer:

You can just add 1 every time, its just the fact that we dont know the wording of some things like i dont know what the correct wording to 6,000,000,000,000,000,000,000,000,000 is all i know is that its a number

Step-by-step explanation:

4 0
2 years ago
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