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Arlecino [84]
3 years ago
12

Your mom has sent you to buy a new suit, and will let you get new shoes too if you keep it under $200. The suit you want to buy

is $230. If you are getting 20% off the price, will you get the shoes?
Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0
If you multiply 230 by 0.2 you will get 46.  Subtract 46 from the 230 and get 184, that's what 230 is when it's 20% off!
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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
The coordinates of F are (10,5). The coordinates of G are (-8,11). Find the midpoint of F G. Write your answer as an ordered pai
vova2212 [387]

Answer: (1, 8)

Step-by-step explanation:

6 0
3 years ago
In the figure points A B C D and E are collinear. If AE = 38 and BD = 15
fredd [130]

Answer:

D. 30.5

Step-by-step explanation:

Given that A, B, C, D, and E are collinear,

AE = 38,

BD = 15, since segment BC = CD = DE, therefore

BD = ⅔ of BE

15 = ⅔*BE (substitution)

Solve for BE

Multiply each side by 3

15*3 = ⅔*BE*3

45 = 2*BE

Divide both sides by 2

45/2 = BE

22.5 = BE

BE = 22.5

Find AB:

AB + BE = AE (segment addition postulate)

AB + 22.5 = 38 (Substitution)

AB = 38 - 22.5 (Subtracting 22.5 from each side)

AB = 15.5

Find length of segment AD:

AB + BD = AD (segment addition postulate)

15.5 + 15 = AD (Substitution)

30.5 = AD

AD = 30.5

6 0
3 years ago
Can I get help with this ​
LUCKY_DIMON [66]

Answer:

i cant awnser it when ist sideways

Step-by-step explanation:

8 0
3 years ago
PLS HELP WILL GIVE BRANLIEST PLUS 15 POINTS
Travka [436]
The answer is B since he bought 4 in all it is x+y =4 . x=dvd y= blue ray discs .

so 2x + 5y =11
2x since dvds are $2
5y since blue ray discs are $5
11 since that’s the total
6 0
2 years ago
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