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rosijanka [135]
2 years ago
11

One tray of granola bars cut into 4 equal size pieces. A second tray was cut into 12 equal size pieces, and a third was cut into

8 equal size pieces. Jan wants to continue cutting until all three trays have the same number of pieces. How many pieces will there be on each tray?
Mathematics
2 answers:
Ymorist [56]2 years ago
5 0
\bf \stackrel{\textit{4 pieces}}{4}\qquad \stackrel{\textit{12 pieces}}{12}\qquad \stackrel{\textit{8 pieces}}{8}\qquad \impliedby\textit{the LCD will be 24}

4 is really 2 * 2

12 is reallly 2 * 2 * 3

8 is really 2 * 2 * 2

now, the 2 * 2, is repeated in the factoring, so we use it once only.  We still have to account for the extra 2 and 3.

therefore, the LCD will be 2 * 2 * 2 * 3, or 24.

after all the slicing in each tray, all pieces will be equal in length in each tray, and there'll be 24 of them in each tray.
bixtya [17]2 years ago
3 0
12,24,36,48,60,72

4,8,12,16,20,24

8,16,24,32,40,48

the answer is 24 because all of them can be cut into 24 pieces.
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The first option is correct

<em>See attached graph for reference</em>

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2 years ago
The foundation of a building is in the shape of a rectangle, with a length of 20 meters (m) and a width of 18 m. To the nearest
wariber [46]

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27m

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400+324=c^2

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4 0
2 years ago
Meg wants to take tennis lessons. In the chart, four instructors are listed with what they charge. Which instructor gives the be
Ierofanga [76]
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Rick wants $80 for 9 hrs., or \frac{80}{9} /hr. or $8.89/hr.

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8 0
2 years ago
Read 2 more answers
A environmental initiative has the goal of saving at least 25 2525 million hectares of rainforest through both planting trees an
Anestetic [448]

Answer:

The possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares by purchasing land.

Step-by-step explanation:

Let the variable <em>X</em> represent the amount of land used for planting trees and <em>Y</em> represent the amount of land purchased.

The goal of the environmental initiative is to save at least 25 million hectares of rain forest.

That is:

<em>X</em> + <em>Y</em> = 25....(i)

Now it is provided that:

  • The cost of planting trees is $ 400 per hectare.
  • The cost of purchasing land is $ 260 per hectare.
  • The initiative has a budget of $8,250 million.

Using the above data it can be said that:

400<em>X</em> + 260<em>Y</em> = 8250....(ii)

Solve equations (i) and (ii) simultaneously.

\ \ \ \ x+y=25]\times 260\\400x+260y=8250\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\\\\Rightarrow\\\\260x+260y=6500\\400x+260y=8250\\(-)\_\_\_\_\_\ (-)\_\_\_\_(-)\_\_\_\\\\\Rightarrow\\\\-140x=-1750\\\\x=\frac{1750}{140}\\\\x=12.5

Then the value of <em>y</em> is:

x+y=25\\y=25-x\\y=25-12.5\\y=12.5

Thus, the possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares for purchasing land.

4 0
2 years ago
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