Answer:
Defining variable: x = per week
Equation: 37 + 6.5x = 9 + 8.25x
Answer: 16 weeks
Step-by-step explanation:
x = per week
Jack:
37 + 6.5x
Diane:
9 + 8.25x
Equation:
37 + 6.5x = 9 + 8.25x
-1.75x = -28
x = 16
Answer:
210 yd³
Step-by-step explanation:
Volume of a triangular prism
= the area of a triangular base × the height
The area of the base
= (10×7)÷2
= 35 yd²
The volume of the prism
= 35 × 6
= <u>210 yd³</u>
1. A~ 2r^2 + 15r-50
2. B~ k^2 - 4k+3
To answer this, you can set up a system of equations. Solve for one of the variables and substitute this new equation into the 2nd equation.
2x + 5y = 243 - I'll solve this one for x.
8x + 6y = 538
2x + 5y = 243
2x = 243 - 5y
2 2
x = 121.5 - 2.5y ; substitute this in for x in the second equation
8x + 6y = 538
8 (121.5 - 2.5y) + 6y = 538
972 - 20y + 6y = 538
972 - 14y = 538
-972 -972
-14y = -434
-14 -14
y = 31
<u><em>The cost of a rod (y) is $31. </em></u>
x = 121.5 - 2.5y
x = 121.5 - 2.5 x 31
x = 44
<em><u>The cost of a reel(x) is $44.</u></em>
