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dybincka [34]
3 years ago
13

A company has a manufacturing plant that is producing quality jackets. They find that in order to produce 150 jackets in a month

, it will cost $5500. Also , to produce 370 jackets in a month , it will cost $8580 . Find an equation in the form y = mx + b , where is the number of jackets produced in a month and y is the monthly cost to do so.
Mathematics
1 answer:
Masja [62]3 years ago
3 0

Answer:

y = 14x + 3400

Step-by-step explanation:

Represent

- number of jackets with x

- costs of jackets with y

So, we have:

(x_1,y_1) = (150,5500)

(x_2,y_2) = (370,8580)

Required

Write an equation in form of y = mx + b

First, we need to determine the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{8580 - 5500}{370 - 150}

m = \frac{3080}{220}

m = 14\\

The equation is calculated using:

y-y_1 = m(x - x_1)

Where

m = 14\\

(x_1,y_1) = (150,5500)

So, we have:

y - 5500 = 14(x - 150)

y - 5500 = 14x - 2100

Make y the subject

y = 14x - 2100 + 5500

y = 14x + 3400

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Answer:

<em>In the second group the individual members received a larger fraction of the prize money</em>

Step-by-step explanation:

<u>Division by Sharing</u>

A certain amount M can be evenly split among n parties by performing a division M/n.

The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.

The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.

By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.

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4 0
3 years ago
A sample of 260 students enrolled at a university were asked what they intended to do after graduation. The results are shown be
vovikov84 [41]
ANSWER

30\%


EXPLANATION

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From the graph the total frequency is,

39+117+78+26 =260

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The percentage of students who intend to go into state or local government after graduation

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=  \frac{3}{10}  \times 100\%

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4 0
3 years ago
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Answer:

7(6m - 4) = -364

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Answer:

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Step-by-step explanation:

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3 years ago
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