Let r, g and b represent red, green and blue.
r+g+b = 74
r=g-1
b=r+g
Again, r+g+b = 74. Let's substitutte r+g for b: r+g+(r+g) = 74.
Next, let's eliminate r. Use r=g-1. Then g-1 + g + g-1 + g = 74
Combining the g terms, 4g - 2 = 74 => 4g = 76 => g = 19
Recall that r=g-1
and
b=r+g
Find r. If r=g-1, and g=19, then r = 19-1=18
Find b: b = r+g = 18+19=37
So there are 37 blue candies, 18 red candies and 19 green candies.
Check: 37+18+19=74 ??? Yes.
Let x be the <span>heights of a maple tree and y be the height of the cherry tree.
We know:
</span>
![\frac{x}{y} = \frac{5}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7By%7D%20%3D%20%5Cfrac%7B5%7D%7B2%7D%20)
<span>The new ratio is obtained like this:
</span>
![\frac{x+20}{y-20} = \frac{3}{1}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%2B20%7D%7By-20%7D%20%3D%20%5Cfrac%7B3%7D%7B1%7D%20)
.
From the above equation we get
![x= (y-20)\frac{3}{1} -20](https://tex.z-dn.net/?f=%20x%3D%20%28y-20%29%5Cfrac%7B3%7D%7B1%7D%20-20)
.
then
![\frac{ (y-20)\frac{3}{1} -20}{y} = \frac{5}{2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%28y-20%29%5Cfrac%7B3%7D%7B1%7D%20-20%7D%7By%7D%20%3D%20%5Cfrac%7B5%7D%7B2%7D%20)
Solving the above equation for y we get:
![y=160](https://tex.z-dn.net/?f=y%3D160)
So
So the first tree is (400-160=240) more taller than cherry tree.
Answer:
b. 4
Step-by-step explanation:
My "work" is to enter the equations into a graphing calculator and let it show me the answers--just as your "work" is to copy the question to Brainly.
The solutions are
(x, y) = (-0.5, 7.5)
(x, y) = (3, 25)
_____
When you equate the expressions for y, you get the quadratic
2x² -5x -3 = 0
(2x +1)(x -3) = 0
x = -1/2 or 3
y = 5(x +2) = 15/2 or 25