1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ksju [112]
3 years ago
14

A environmental initiative has the goal of saving at least 25 2525 million hectares of rainforest through both planting trees an

d purchasing land. The cost of planting trees is $ 400 $400dollar sign, 400 per hectare, and the cost of purchasing land is $ 260 $260dollar sign, 260 per hectare. If the initiative has a budget of $ 8 , 250 $8,250dollar sign, 8, comma, 250 million, which of the following is a possible way for the initiative to accomplish its goal without exceeding its budget?
Mathematics
1 answer:
Anestetic [448]3 years ago
4 0

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.

You might be interested in
Problem Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 g
tekilochka [14]

No.

30% of 220 is 66 and 55 is less than 66

5 0
3 years ago
Read 2 more answers
9×(-1/3)×(-3)×(-1/9)=?​
bulgar [2K]

Answer:

-1

Step-by-step explanation:

7 0
2 years ago
The Empire State Building is just over 1,450 feet tall. In anticipation of visiting this landmark on your vacation, you create a
oee [108]
You have two given data available here: the actual height of the Empire State Building measuring 1,450 feet, and the height of the block measuring 2 feet. To find how many blocks stacked together would make up 1,450 feet, just divide 1,450 by 2.

Number of blocks=1,450 feet * (1 block/2 feet)
Number of blocks = 725 blocks

Therefore, you would use a model  requiring 725 blocks. The scale factor for the model is 1 block per two feet. 
3 0
3 years ago
Read 2 more answers
A recipe calls for 2.5 cups of sugar . you have already put in 0.75 cups. how many more cups of sugar does the recipe call for
Tomtit [17]
2.5 cups minus .75 cups equals 1.75 cups.
8 0
3 years ago
Solve the inequality.<br> 3+ 4x &gt; 27
gogolik [260]
X = 7. 7 x 4 = 28 and 28 + 3 = 31.

31>27
5 0
3 years ago
Read 2 more answers
Other questions:
  • At the movie theatre, child admission is $5.40 and adult admission is $8.70 . on friday, 159 tickets were sold for a total sales
    8·1 answer
  • How many times does 4 go in to 405
    6·2 answers
  • What is the sales tax rate if a $7,190 purchase will have $568.01 of sales tax added to it?
    14·1 answer
  • 90 PTSSSS PLEASE SOME EXPEERT HELP ME ON THIS PLSS IM DESPERATEEEE!!!
    13·1 answer
  • What are the first five common multiples of 8 and 11?
    8·1 answer
  • What is the value of C so that -9 and 9 are both solutions of x squared+ C=103
    11·1 answer
  • The following square-based pyramid has a base area of 30 square units and a volume of 96 cubic units. The
    9·1 answer
  • Playtime Toy Shop is having its annual holiday sale, when every toy in the store gets marked down. During the sale, Max purchase
    7·1 answer
  • If 12 out of 15 people recycle aluminum cans, how many people out of 1 million would you expect to recycle? ( Answer fast please
    5·1 answer
  • To visit the top of the Empire State Building, a ticket cost $ 4.00 in 1999. In 2009, the price rose to $ 20.00. What was the pe
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!