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! ☻
You can set the y values equal to each other and solve the system:
x^2+3x-4=2x+2
x^2+x-6=0
(x+3)(x-2)=0
x=-3,2
So, these are the x values of the intersection. To get the y values, you can just plug them back into either formula:
y=2(-3)+2
y=-4
y2(2)+2
y=6
So the coordinates are (-3,-4) and 2,6).
Answer: Explanation:First, let's call the number of 2 cent coins: tNext, let's call the number of 5 cent coins: fWe can then write to equations from the information in the problem.Equation 1: t+f=40Equation 2: 0.02t+0.05f=1.55Step 1) Solve the first equation for t:t+f=40t+f−f=40−ft+0=40−ft=40−fStep 2) Substitute (40−f) for t in the second equation and solve for f:0.02t+0.05f=1.55 becomes:0.02(40−f)+0.05f=1.55(0.02×40)−(0.02×f)+0.05f=1.550.80−0.02f+0.05f=1.550.80+(−0.02+0.05)f=1.550.80+0.03f=1.550.80−0.80+0.03f=1.55−0.800+0.03f=0.750.03f=0.750.03f0.03=0.750.030.03f0.03=25f=25Step 3) Substitute 25 for f in the solution to the first equation at the end of Step 1 and calculate t:t=40−f becomes:t=40−25t=15The Solution Is:There are:15 two cent coins25 five cent coins
Step-by-step explanation:
Answer:
Step-by-step explanation:
Outlier
