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zheka24 [161]
2 years ago
15

Carrie buys 4.16 pounds of apples for $5.20 how much does one pound cost

Mathematics
1 answer:
Oksi-84 [34.3K]2 years ago
5 0
4.16lbs of apple divided by $5.20 would equal $0.80 a lb.
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Find the work done in winding up a 175 ft cable that weighs 3 lb/ft.
nignag [31]

Answer:

work \ done= 45937.5

Step-by-step explanation:

Work done is given by

work \ done=\int_a^b w(d-x) \ dx , where d = length of cable and w = weight of cable.

Here, d = 175 ft and w = 3 lb/ft

Now, work \ done=\int_0^{175} 3(175-x) \ dx

work \ done= 3\left [175x-\frac{x^2}{2}  \right ]_0^{175}

work \ done= 3\left [175^2-\frac{175^2}{2}  \right ]

work \ done= 3\cdot \frac{175^2}{2}

work \ done= 45937.5

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Step-by-step explanation:

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Answer:

A

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2 years ago
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Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49. a. What is the unit price? b. Wh
inysia [295]

Answer:

a) $0.83

b) k = 1.205

c) In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

Step-by-step explanation:

Sara has opened her own bakery, where customers can buy three chocolate chip cookies for $2.49.

a. What is the unit price?

The unit price means the cost of 1 cookie

Hence:

3 chocolate chip cookies = $2.49

1 chocolate chip cookies = x

3x = $2.49 × 1

x = $2.49 × 1/3

x = $0.83

Hence, the unit price = $0.83

b. What is the constant of proportionality, or k?

Chocolate chip cookie ∝ Price

Chocolate chip cookie is directly proportional to the Price

C = kP

Where k is constant of proportionality

k = Chocolate chip cookie/Price

k = C/P

Hence,

k = 3/2.49

k = 1.2048192771

k = 1.205

c. In a complete sentence, explain what k means in the context of this problem.

In the context of this problem, k means

The number of chocolate chip cookies increases as the price increases because number of chocolate chip cookie is directly proportional to its price

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2 years ago
Write an equation in​ point-slope form of the line that passes through the given​ points, then write the equation in​ slope-inte
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Y=2/9x+9

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