Answer: x = $11,900
Step-by-step explanation:
Hi, to answer this question we have to analyze the information given:
Joshua’s earnings: g(x)=175+0.05x
Caleb's earnings: f(x)=532+0.02x.
So, if both earnings are equal:
g(x) =f (x)
175+0.05x =532+0.02x
Solving for x:
0.05x-0.02x = 532-175
0.03x= 357
x = 357 /0.03
x = $11,900
Feel free to ask for more if needed or if you did not understand something.
The first sentence → x - 2y = -1
the second one → 3x - 2y = -3
multiply the first one by -1
you can get → -x + 2y = 1
plus two sentences together
you can get → 2x = -2
so you are able to know that x = -1
and y = 0
Answer:
8 x 4
Step-by-step explanation:
Lets say the length is x and the width is y.
xy = 32
2x + 2y = 24
Rearranging the second equation, we get:
2x = 24 - 2y
/2 /2
x = 12 - y
substitute into the first equation
y(12 - y) = 32
12y - y^2 = 32
-32 -32
-y^2 +12y - 32 = 0
x -1 x -1
y^2 - 12y + 32 = 0
(y - 8)(y - 4) = 0
y = 8 or 4
substitute into x = 12 - y.
x = 12 - 8 = 4
x = 12 -4 = 8
so the correct dimensions are 4 x 8, as either x = 4 and y =8, or x = 8 and y = 4.
Hope I helped!
Answer:
The correct option is;
30 caramel popcorn bags and 80 cheddar popcorn bags
Step-by-step explanation:
From the graph of the number cheddar popcorn, Y to the number of the caramel popcorn, X, the shaded region of the graph which is the feasible region has a solution at the value Y = 80 and X = 30 and another at the value Y = 40 and X = 90
Therefore, when the team makes 80 bags of cheddar popcorn and 30 bags of caramel popcorn, we have;
2.5 × 80 + 1 × 30 = $230
When the team makes 40 bags of cheddar popcorn and 90 bags of caramel popcorn, we have;
2.5 × 40 + 1 × 90 = $190
Therefore, the team should make 30 caramel popcorn bags and 80 cheddar popcorn bags.
