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3 years ago

There are 36 graduated cylinders to put away on a shelf

Mathematics

1 answer:

Sergio039 [100]3 years ago

6 0

Answer:

There are three possible arrangements of the graduated cylinders on the shelf. 

1. 4 rows of 9 graduated cylinders 

2. 3 rows of 12 graduated cylinders. 

3. 2 rows of 18 graduated cylinders.

Step-by-step explanation:

Number of graduated cylinders to put away on the shelf = 36

Maximum number of graduated cylinders that can fit across = 20

Maximum number of graduated cylinders that can fit deep = 4

The teacher wants each row to have the same number of cylinders.

First option of arrangement:

4 rows of 9 graduated cylinders

It fits across (less or equal to 20) and deep (less or equal to 4)

Total of graduated cylinders used = 36 ( 4 x 9)

Second option of arrangement:

3 rows of 12 graduated cylinders

It fits across (less or equal to 20) and deep (less or equal to 4)

Total of graduated cylinders used = 36 ( 3 x 12)

Third option of arrangement:

2 rows of 18 graduated cylinders

It fits across (less or equal to 20) and deep (less or equal to 4)

Total of graduated cylinders used = 36 ( 2 x 18)

No other arrangement is possible, because a only row of 36 graduated cylinders doesn't fit across or 6 rows of 6 don't fit deep.

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Does 26/3 equal 182/21

brilliants [131]

Answer: Yes, they are equal

Step-by-step explanation:

Quick statement: To find equivalent fractions, multiply or divide them by the same number.

In this particular example, you can divide 182 by 7 and get 26 and 21 by 7 to get 3. This symbols that they are equal. If you try the inverse operation (multiplication), you could multiply 26 by 7 and get 182. Same goes for 21 and 3: you multiply 3 by 7 to get 21. Just remember to multiply or divide the two numbers (numerator and denominator) by the same number to get an equivalent fraction.

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4 years ago

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MakcuM [25]

Answer:

Step-by-step explanation:

x + y =6

x - y = 4

A. 3+3=6, but 3-3 doesn't equal 4

B. 5+1=6 and 5-1 equals 4

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D. 2+4 equals 6 but 2-4 doesn't equal 4

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3 years ago

Can I get some help please? Thanks!

quester [9]

An ellipse (oval shape) is expressed by the following equation:

$\frac{(x-h)^2}{a^2} + \frac{(y-k)^2}{b^2}=1$ where h is the x coordinate of the center and k is the y coordinate of the center. Furthermore, a is the horizontal distance from the center, and b is the vertical distance from the center. Lastly, c is the distance from the center to one of the foci (they are spaced apart equally).

We can find the foci by using $a^2 - b^2 = c^2$

36 - 11 = $c^2$

$c = \sqrt{25} = 5$

Since the k value in this case is 0, the y value of both foci are 0. Also, since h and k are both 0, we know the center of the ellipse is at the origin.

So the foci are (-5, 0) and (5, 0)

Hope this helps :)

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3 years ago

GUYS PLS HELP ME, its math and I'm really stuck

DiKsa [7]

Answer:

B. 1/2

Step-by-step explanation:

You can see that when two weeks that pass, the plant grows one inch. This rate can be written as 1 inch : 2 weeks. But, we need to find the unit rate. To find the unit rate, or how many inches the plant grows per week, we divide both by 2.

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3 years ago

FREE BRAINLIEST!: (n+2) to the power of 2 - 5a + 1 when n=6 and a=2

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

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3 years ago