Mathematics, 21.03.2020 02:17, kaidencearley

You have one type of candy that sells for $2.50/lb and another type of candy that sells for $8.20/lb. You would like to have 17.1 lbs of a candy mixture that sells for $3.50/lb. How much of each candy will you need to obtain the desired mixture?
you will need
_lbs of the cheaper candy
_lbs of the expensive candy

Answers: 3

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Answers

answered: kyrarix

Graph of a linear equation will be always straight line.

To obtain desired mixture, we will need 14.1 lbs of the cheaper candy 3 lbs of the expensive candy.

Let us consider x represent the number of pounds of the cheaper candy and y represent the number of pounds of the expensive candy .

We have 17.1 lbs of the candy mixture. It means that

x + y = 17.1

Since, the mixture would sell for $3.50/lb.

Therefore, the total cos of the mixture will be,

17.1 *3.5 = $59.85

If the cheaper candy sells for $2.50/lb and the expensive candy sells for $8.20/lb, Then , equation become

2.5x + 8.2y = 59.85

Substituting x = 17.1 - y into equation 2.5x + 8.2y = 59.85

We get, 2.5(17.1 - y) + 8.2y = 59.85

42.75 - 2.5y + 8.2y = 59.85

- 2.5y + 8.2y = 59.85 - 42.75

5.7y = 17.1

y = 3

Substituting value of y in equation x = 17.1 - y

x = 17.1 - y = 17.1 - 3

Thus, x = 14.1

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answered: danniuhrig

you will need 14.1 lbs of the cheaper candy 3 lbs of the expensive candy.

Step-by-step explanation:

Let x represent the number of pounds of the cheaper candy that you will need.

Let y represent the number of pounds of the expensive candy that you will need.

You would like to have 17.1 lbs of the candy mixture. It means that

x + y = 17.1- - - - - - - - -1

The mixture would sell for $3.50/lb. It means that the total cos of the mixture would be

17.1 × 3.5 = $59.85

If the cheaper candy sells for $2.50/lb and the expensive candy sells for $8.20/lb, it means that

2.5x + 8.2y = 59.85- - - - - - - - - 1

Substituting x = 17.1 - y into equation 1, it becomes

2.5(17.1 - y) + 8.2y = 59.85

42.75 - 2.5y + 8.2y = 59.85

- 2.5y + 8.2y = 59.85 - 42.75

5.7y = 17.1

y = 17.1/5.7

y = 3

x = 17.1 - y = 17.1 - 3

x = 14.1

answered: Guest

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function $y=f(x)$ the average rate of change from point $a(a,f(a))$ to point $b(b,f(b))$ can be calculated as

$\text{average rate of change}=\dfrac{f(b)-f(a)}{b-a}.$

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,

$\text{average rate of change}=\dfrac{2-8}{10-2}=\dfrac{-6}{8}=-\dfrac{3}{4}.$

The graph below shows the number of houses sold over x days. what is the average rate of change from

answered: Guest

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height: 2cm

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You have one type of candy that sells for $2.50/lb and another type of candy that sells for $8.20/lb...