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Alenkasestr [34]
3 years ago
12

a student government organization is selling christmas trees as a fundraiser. on friday, they sold five noble fir trees and thre

e douglas fir trees for a total of $420. on saturday, twelve noble fir trees and 9 douglas fir trees were sold for a total of 1080. what is the cost per tree of each type
Mathematics
1 answer:
IRINA_888 [86]3 years ago
3 0

Answer:

$60 for a noble fir, and $40 for a douglas fir

Step-by-step explanation:

Let x represent the number of noble fir trees

Let y represent the number of douglas fir trees

We can set up a system of equations to solve this problem

5x + 3y =  420  

12x + 9y = 1080      

We can use elimination method to solve this.  9 is a multiple of 3, so we'll multiply the first equation by -3 to get...

-15x - 9y = -1260

12x + 9y = 1080

Now add them together...

-3x = -180         now solve for x...

        x = 60

If x = 60, them

5(60) + 3y = 420        now solve for y

  300 + 3y = 420

      3y = 120

           y =  40

       

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Answer:

Step-by-step explanation:

Radius r = 15

Circumference = 2πr = 30π cm

Circumference of cone = arc length of sector

= 30π × 216°/360°

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Radius of base of cone = 18π/(2π) = 9 cm

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x-1=0

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subsitute back to find y values

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3 years ago
18) What value of x makes R(x) = 10
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<h3>Two Answers:  <u>x = 2 and x = 10</u></h3>

========================================================

Explanation:

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See the diagram below.

The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.

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3 years ago
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