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VLD [36.1K]
3 years ago
5

A machine can make 56 parts in 4 hours.It can also make 70 parts in 5 hours. Write an equation that relates the number of parts

the machine can make and the time in hours.Predict how many parts the machine can make in 9 hour and 30 minutes.
Mathematics
1 answer:
ira [324]3 years ago
5 0

Answer:

126 parts in 9 and a half hours

Step-by-step explanation:

56 parts in 4 hours

that means 56 parts in 240 mins

9 hours and 30 minutes in minutes is 570 minutes

56m parts:240 mins

                 540 mins

to get to 540 from 240, you multiply by 2.25.

you can work this out by doing 540 divided by 240

now, multiply 56 by 2.25.

the answer is 126 parts

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Total cost for bowling includes the fee for shoe rental plus the fee per game. The cost for each game increases by 4. After 3gam
valina [46]

y = 4x + 2 is the equation to find total cost y to rent shoes and bowl x games

<em><u>Solution:</u></em>

Given that, The cost for each game increases by 4

The Total cost for bowling includes the fee for shoe rental plus the fee per game.

Let the total cost be "y"

Let the number of games be "x"

The point slope equation can be used to describe this situtaion

y - y_1 = m(x - x_1)

Here (x_1 , y_1) represents the cost after 3 games is $ 14

(x_1 , y_1) = (3, 14)

The cost for each game increases by 4. So, here m = 4

Therefore, the equation becomes,

y - 14 = 4(x - 3)

y - 14 = 4x - 12

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y = 4x + 2

So here, 2 represents the shoe rental and "x" is the number of games

Thus the required equation to find total cost y to rent shoes and bowl x games is found

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