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MrMuchimi
3 years ago
14

A teacher has 36 sheets of construction paper and 78 markers. She wants to pack them in boxes with the same number of sheets and

markers in each box. What is the greatest number of boxes the teacher can use to pack the sheets of construction paper and markers?
Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
5 0

Answer:

6 boxes.

Step-by-step explanation:

We have been given that a teacher has 36 sheets of construction paper and 78 markers.

As teacher wants to pack the same number of sheets and markers in each box, So we will have to find the greatest common factor (GCF) of 36 and 78.  

Factors of 36 are: 1, 2, 3, 4, 6, 6, 18 ,12, 18, 36

Factors of 78 are: 1, 2, 3, 26, 39, 78.

We can see that GCF of 36 and 78 is 6. The number of sheets of construction paper in each box will be 6 (6*6=36) and number of markers in each box will be 13 (13*6=78).

Therefore, the greatest number of boxes the teacher can use to pack the sheets of construction paper and markers is 6.

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Answer:

y = -1x - 6

Step-by-step explanation:

Hi!

The format of the equation of a line is y = mx + b

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3 years ago
Passes through (1,12) and has a vertex (10,-4)
agasfer [191]

Answer: 16/81 (x-10)^2 -4

Step-by-step explanation:

To write a vertex equation with just a point and the vertex, you have to figure out the variables.

In vertex form, the equation is y = a (x-h)^2 + k

Your y is 12, x = 1, h = 10, and k = -4

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Now you know what the 'a' value is.

If you graph 16/81 (x-10)^2 -4 , you will get a point at (1,12) and a vertex of (10,-4)!

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2 years ago
The length of a rectangle is five times its width.
Vera_Pavlovna [14]

Answer:

72

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l = 5w

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180 = 5w *w

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Taking the square root of each side

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Step-by-step explanation:

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