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Mazyrski [523]
3 years ago
12

What is the quotient of 15a^4b^3/12a^2b? assume that the denominator does not equal zero​

Mathematics
1 answer:
Darina [25.2K]3 years ago
3 0

Answer:

→\frac{15 {a}^{4} {b}^{3}}{12 {a}^{2}b}  =  \frac{5 {a}^{2} {b}^{2}}{4}✓  \\

<h3><u>(</u><u>5/4</u><u>)</u><u>a²b²</u> is the right answer.</h3>
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Use the given x-values to identify solutions as ordered pairs to the equation y = −7x + 4 for x = 1, 3, 5, and 7
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8 0
3 years ago
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
3 years ago
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