The student has three puzzles each puzzle has 1250 pieces what is the total number of pieces in the puzzles
1 answer:
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Answer:
x = 10
Step-by-step explanation:
By the converse of the side-splitter theorem, if , then KM ∥ JN.
Substitute the expressions into the proportion:
Cross-multiply:
(x – 5)(x+4) = x(x – 3).
Distribute:
Multiply and simplify:
Solve for x: x = 10
Therefore, the value of x that would make KM parallel to JN is 10.
Answer:
x = 20
x = 140
Step-by-step explanation:
Find the equation for profit P
P = R - C
Substitute the equations for R and C then simplify.
P = 100x − 0.5x² - (20x + 700)
P = -0.5x² + 80x - 700
Find the values of x when profit is $700
P = -0.5x² + 80x - 700
700 = -0.5x² + 80x - 700
0 = -0.5x² + 80x - 1400
This is in the standard form 0 = ax² + bx + c
Use the quadratic formula to find values of x
(Ignore Â)
Substitute a b and c.
a = -0.5
b = 80
c = -1400
Split the formula at the ± so that there are two to get the two x values.
x = 20
x = 140
The profit will be $700 when x is 20 or when x is 140.