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shepuryov [24]
3 years ago
7

suppose the juice was instead packaged like the cider. Approximately what is the cost per gallon of the juice

Mathematics
1 answer:
Rina8888 [55]3 years ago
3 0

Answer:

(8)(4.23)=33.84 ounces in the juice boxes and the price for the boxes is $2.39. We can set up the proportionÂ

2.39 dollars33.84 ounces=x dollars1 gallon

and solve for x. We see that we will need to convert ounces to gallons, and as there are 128 ounces in a gallon, we have

2.39 dollars33.84 ounces⋅Â128 ounces1 gallon≈9.04 dollars1 gallon,

so x≈9.04, and the price of the juice is about $9.04 per gallon.Â

Â

We wish to find the price per a package of boxes of the cider. The price for the gallon of cider is $7.00, and there are 128 ounces in a gallon, giving the proportion

7 dollars128 ounces=x dollars1package of boxes.

To solve for x, we see that we need to convert ounces into "package of boxes", which refers to the eight 4.23-ounces boxes that the juice is sold in. So,Â

7 dollars128 ounces⋅33.84 ounces1 package of boxes≈1.85 dollars1 package of boxes,

and x≈1.85 and the price of the cider is about $1.85 per eight 4.23-ounce boxes.Â

Â

Utilizing our previous answers to part a and b, we see that the cider is the more cost-effective choice. Â (In fact, Peter would have to buy four 8-packs of juice to get at least a gallon, for a cost of $9.56, much more than the $7 it would take to get a gallon of cider.)

Â

The unit rates we used in parts a and b are dollars per gallon and dollars per pack of eight 4.23-ounce boxes.Â

Â

Additional unit rates could be dollars per ounce, cents per ounce, ounces per dollar, dollars per 4.23-ounce box, etc.Â

Â

Step-by-step explanation:

here is your answer to work plz let me know if you got it right in plz rate  me the most brainlest

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Natalka [10]

Answer:

$25.44

Step-by-step explanation:

First, find the original cost of the binders:

5(8)

= $40

Find the cost with the 40% discount:

40(0.6)

= $24

Find the cost with the 6% sales tax:

24(1.06)

= $25.44

So, the total cost of the binders was $25.44

6 0
3 years ago
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15x+100=28
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4 years ago
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When the polynomial 4x^4 − 13x^2 − 2x is divided by the polynomial x − 2 , x-2, what is the remainder?
zhenek [66]
Let p (x) = 4x^4-13x^2-2x
The zero of x-2 is 2
putting x = 2 in p (x), we get,
p (2) = 4×2^4-13×2^2-2×2
= 64 - 52 - 4
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3 0
3 years ago
Can I get help with this
Hunter-Best [27]

Answer:

The correct option is;

B) -6

Step-by-step explanation:

The given parameters are;

The line of symmetry of f(x) = The line of the reflection of g(x) over the y-axis

f(x) = 3·x² + b·x + c

From the given graph of g(x), we have;

The vertex point of g(x) = (-1, 8)

The line of symmetry is the line x = -1

The image of the reflection of (x, y) over the y-axis is (-x, y)

The image of the vertex of g(x) following a reflection across the y-axis is (1, 8)

Therefore;

The line of symmetry of the image of g(x) following a reflection over the x-axis is the line x = 1

The line (axis) of symmetry of a quadratic function is the line x = -b/(2·a), which is a line that always go through the vertex of the parabola

Where;

a = The coefficient of x²

b = The coefficient of 'x'

For f(x) = 3·x² + b·x + c, a = 3, and b = b

Given that f(x) and the image of g(x) have the same line of symmetry, we have;

The line of symmetry of f(x) is x = 1

Therefore, from the formula for the line of symmetry, we have;

x = -b/(2·a)

x = 1

By substitution, we have;

1 =  -b/(2·a)

∴ -2·a = b

Given that a = 3, we get;

-2 × 3 = -6 = b

b = -6

3 0
3 years ago
Please help me out with this
Ivanshal [37]

Answer:

374.1

Step-by-step explanation:

Area of Hexagon = \frac{3\sqrt{3} }{2} * a^{2}

The ' a ' is the side length.

So now we just plug in the values

\frac{3\sqrt{3} }{2} *12^{2} = 374.12

3 0
3 years ago
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