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ziro4ka [17]
3 years ago
8

Barbara is making candy bags with her birthday party she has 24 lollipops, 12 candy bars, and 42 pieces of gum she wants each ba

g to have the same number of each kind of candy what is the greatest number of bad she can make it if all the candy is used how many pieces of each kind of candy will be in each bag
Mathematics
1 answer:
Arisa [49]3 years ago
3 0
She can make about 5 bags and there will be 4 lollipops, 2 candy bars, and 7 pieces of gum in each bag.

So this is how to solve it:
Basically what you’re doing here is called finding the gcf, or greatest common factor. What you have to do is find what number can divide by 24, 12, and 42; so I chose 2.
After dividing all these numbers by two you get 12, 6, and 21.
3 can divide by all these numbers
After dividing by three you get 4(lollipops), 2(candy bars) and 7(pieces of gum)
Since you can not divide by one number for all of these numbers, 4, 2 and 7 are your final answers.

To find how many’s bags you can make, the answer is 5 since you divided by 2 and 3 and you add them together.

I hope I explained this well! Good luck :D
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Write the equation of a line perpendicular to 5x – 4y = - 3 that passes through the point (-5,2).
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Answer: 5y + 4x = - 10

Step-by-step explanation:

Two lines are said to be perpendicular if the product of their gradients = -1.

If the gradient of the first line is m_{1} and the gradient of the second line is m_{2} , if the lines are perpendicular, them

m_{1} x m_{2} = -1 , that is

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The equation in slope -intercept form is given as :

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Writing the equation in this form , we have

5x - 4y = + 3

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comparing with the equation y = mx + c , then m_{1} = 5/4

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Using the equation of line in slope - point form  to find the equation of the line;

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y - 2 = -4/5 ( x +5)

5(y - 2 ) = -4 ( x + 5 )

5y - 10 = -4x - 20

5y + 4x = - 10

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