Answer:
1/7
Step-by-step explanation:
To find the slope, we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 1-0)/(0 - -7)
= (1-0)/(0+7)
= 1/7
Let:
x = Pounds of walnuts in the mix.
Each pound of walnuts costs $0.80. thus x pounds of walnuts cost 0.8x dollars.
Each pound of cashews costs $1.25 and the mix will contain 8 pounds of cashews, so the cost is 8*$1.25 = $10
The total cost of the mix is, therefore: 0.8x + 10 dollars.
We are also given the pound of mix costs $1.00 and we have a total of 8 + x pounds, so the total cost of the mix is 1*(8 + x) dollars.
Equating both costs:
0.8x + 10 = 1*(8 + x)
Operating:
0.8x + 10 = 8 + x
Subtracting x and 10:
0.8x - x = 8 - 10
Simplifying:
-0.2x = -2
Dividing by -0.2:
x = -2/(-0.2)
x = 10
Answer: 10 pounds
Answer:
2.50t + 350 = 3t + 225
Step-by-step explanation:
Let t represent the number of tickets that each class needs to sell so that the total amount raised is the same for both classes.
One class is selling tickets for $2.50 each and has already raised $350. This means that the total amount that would be raised from selling t tickets is
2.5t + 350
The other class is selling tickets for $3.00 each and has already raised $225. This means that the total amount that would be raised from selling t tickets is
3t + 225
Therefore, for the total costs to be the same, the number of tickets would be
2.5t + 350 = 3t + 225
Answer:
no solution
Step-by-step explanation:
Given
3(x - 3) = 3x , that is
3x - 9 = 3x ( add 9 to both sides )
3x = 3x + 9 ( subtract 3x from both sides )
0 = 9 ← not possible
This indicates the equation has no solution
Answer:
SA = 2πr² + 2πrh
Step-by-step explanation:
2πr² will provide the surface area of the top and bottom of the cylinder
2πrh will provide the surface area of the cylinder portion that connects the top and bottom