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Brums [2.3K]
3 years ago
8

A 10 pound box of apples costs 12.50. Write the ratio of cost to number of pounds as a fraction. Then find an equivalent fractio

n with a denominator of 1. Write the rate and unit rate to describe the cost of the apples
Mathematics
1 answer:
pshichka [43]3 years ago
5 0

Answer:

cost of apples = 1.25 per pound

Step-by-step explanation:

from the question 10 pound box of apple costs 12.5.

ratio is a comparison of two variables and is usually done by division.

ratio of cost to number of pound will be =\frac{12.5}{10}

breaking down the denominator to 1, divide both numerator ad denominator by 10.

ratio of cost to number of pound will be =\frac{1.25}{1}

this can be written as 1.25 per pound or 1.25/pound

Hence the cost of apples per pound will be 1.25

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The y-intercept is being changed. In the equations given we are using the formula (y=mx +b), b means the y intercept. In this we are changing the y intercept from 2 to -1. There is nothing else being changed.

6 0
3 years ago
Find the solution of the given initial value problems in explicit form. Determine the interval where the solutions are defined.
natali 33 [55]

Answer:

The solution of the given initial value problems in explicit form is y=x-x^2-2  and the solutions are defined for all real numbers.

Step-by-step explanation:

The given differential equation is

y'=1-2x

It can be written as

\frac{dy}{dx}=1-2x

Use variable separable method to solve this differential equation.

dy=(1-2x)dx

Integrate both the sides.

\int dy=\int (1-2x)dx

y=x-2(\frac{x^2}{2})+C                  [\because \int x^n=\frac{x^{n+1}}{n+1}]

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It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.

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-2=1-1+C

-2=C

The value of C is -2. Substitute C=-2 in equation (1).

y=x-x^2-2

Therefore the solution of the given initial value problems in explicit form is y=x-x^2-2 .

The solution is quadratic function, so it is defined for all real values.

Therefore the solutions are defined for all real numbers.

4 0
3 years ago
What is the volume of a cylinder with a height of 15 iches and radius of 3 inches????
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It would be 424.12in³
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3 years ago
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$18.99 with the discount of 30% off
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So you would do .30 multiply that by 18.99 and your answer would be 5.69
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P(pink tile, orange tile)=

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