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
Answer:
12+8r
Step-by-step explanation:
2(6+4r) = 30r
If I am wrong, please let me know and I will do a re-correction
Answer: the cost of one chicken is $8
The cost of one duck is $5
Step-by-step explanation:
Let x represent the cost of one chicken.
Let y represent the cost of one duck.
Last month, he sold 50 chickens and 30 ducks for $550. It means that
50x + 30y = 550- - - - - - - - - - - 1
This month, he sold 44 chickens and 36 ducks for $532. It means that
44x + 36y = 532- - - - - - - - - - - 2
Multiplying equation 1 by 44 and equation 2 by 50, it becomes
2200x + 1320y = 24200
2200x + 1800y = 26600
Subtracting, it becomes
- 480y = - 2400
y = - 2400/- 480
y = 5
Substituting y = 5 Intl equation 1, it becomes
50x + 30 × 5 = 550
50x + 150 = 550
50x = 550 - 150
50x = 400
x = 400/50
x = 8
A_n= a₁+(n-1)d
a₁ first term
n terms
d distance between each value
a_n= 12+(405-1)(5)=2032
4x + 2 - 3x + 5 - 2(x + 5) = (2x - 5) + (3x + 4)
4x + 2 - 3x + 5 - 2x - 10 = 2x - 5 + 3x + 4
4x - 3x - 2x + 5 + 2 - 10 = 2x + 3x - 5 + 4
- x - 3 = 5x - 1
-x - 3 = 5x - 1 is the line above recopied
+x = +x
-3 = 6x - 1
<span> +1 = + 1 </span>
- 2 = 6x
- 2/6 = 6x/6
- 1/3 = x, the answer
