Hi there!
In order to answer your question you’ll need to write an equation in which “X” would be the number of containers you need to sell :
4X - 28 = 20
This equation means that each container you sell gives you $4, you also need to subtract $28 because that’s the cost for making the cookies and the equation is equal to 20 because you want to make a $20 profit.
Now that your equation in written down, you can solve it by isolating “X” :
4X - 28 = 20
Add 28 on each side of the equation → 20 + 28 = 48
4X = 48
Divide each side of the equation by 4 → 48 ÷ 4 = 12
X = 12
Your answer is D): In order to earn a $20 profit, you need to sell 12 containers.
There you go! I really hope this helped, if there’s anything just let me know! ☻
Y = 2x + 5 that is my answer
Answer:
A). 101 inches
B). 110 years
Step-by-step explanation:
Years since planting Circumference Difference
1 3 -
2 5 (5 - 3) = 2
3 7 (7 - 5) = 2
4 9 (9 - 7) = 2
5 11 (11 - 9) = 2
6 13 (13 - 11) = 2
There is a difference of 2 in every successive term of the circumference.
Therefore, the given sequence is an arithmetic sequence.
Explicit formula of an arithmetic sequence is given by,
Here a = first term
n = number of terms
d = common difference
From the given table,
Here = circumference after 'n' years
n = Age of the plant
By this formula,
Circumference of a tree after 50 years,
= 101 inches
Age of tree with the circumference = 221 inches,
221 = 2n + 1
2n = 220
n = 110 years
You can solve this by using the system of equations.
Jan - 4.95 = 2H + 3C
Wayne - 5.45 = 3H + 2C
Use elimination.
-3(2H + 3C = 4.95)
2(3H + 2C = 5.45)
Solve. And you'll get:
-6H + (-9C) = -14.85
6H + 4C = 10.9
Cross out -6H and 6H because they cancel out. And you're left with:
-9C = -14.85
4C = 10.9
Add -9C with 4C, and -14.85 with 10.9.
-5C = -3.95
Divide each side with -5.
C = $0.79
Now to figure out what H is, just substitute the C in one of the equations with 0.79.
5.45 = 3H + 2(0.79)
5.45 = 3H + 1.58
-1.58 -1.58
3.87 = 3H
3.87/3 = 3/3(H)
1.29 = H
Finished!