Answer:
Earnings current month of Michale = 3600
Step-by-step explanation:
Given that after the car payment is deducted, Michael take home pay will be $3060 per month. His monthly car payment is 15% of his earnings,
Let his earnings be 100
His car payment 15
His take home pay = 85
If 85 is take home pay earnings = 100
Hence if 3060 is take home pay earning = ?
This is a question of direct variation since if take home pay increases total earnings also increase.
So earnings =
Earnings current month of Michale = 3600
Answer = 6
Explanation:
I'm guessing there's a simpler solution, but let's give it a shot.
The two roots are provided by using the quadratic equation:
x = [-b ± √(b2 - 4ac)] / (2a)
For x2 - 10x + q = 0
a = 1
b = -10
c = q
Substituting these values in:
x = [-b ± √(b2 - 4ac)] / (2a)
= [-(-10) ± √((-10)2 - 4(1)(q))] / (2(1))
= [10 ± √(100 - 4q)] / 2
= 0.5 [10 ± √(100 - 4q)]
The first root, x1
x1 = 0.5 [10 + √(100 - 4q)]
= 5 + 0.5√(100 - 4q)
The second root, x2
x2 = 0.5 [10 - √(100 - 4q)]
= 5 - 0.5√(100 - 4q)
The difference in the roots is 6.
6 = x1 - x2
= [5 + 0.5√(100 - 4q)] - [5 - 0.5√(100 - 4q)]
= 5 + 0.5√(100 - 4q) - 5 + 0.5√(100 - 4q)
6 = √(100 - 4q)
(6)2 = [√(100 - 4q)]2
36 = 100 - 4q
-64 = -4q
q = 16
Do a little more work to determine the roots.
x2 - 10x + q = 0
x2 - 10x + 16 = 0
(x - 8)(x - 2) = 0
x = {2, 8}
8 - 2 = 6
Answer:
32 meters long (please double-check! sometimes ppl make mistakes)
Step-by-step explanation:
the ratio of height to shadow length is 15:8, as established in the first sentence. if both sides of the ratio are multiplied by 4 then the ratio becomes 60:32.
more in depth:
if you think of it as fractions (which ratios can be written as) multiplying both the numerator and denominator by four is the equivalent of multiplying by 4/4 aka 1 so the value still stays the same (one times something is the same thing). since the ratio of height to shadow length is constant we needed to solve for the ratio in which the height is 60, so multiply each side by 4 (aka 60 divided by 15) to find the new ratio, 15(4):8(4) or 60:32. the ratio 60:32 describes height to shadow, so while the height is 60 (said in the problem) then the shadow length is 32. adding units, the answer would be 32 meters.
The whole amount is 8, so that goes in the denominator( The bottom) He ate 1 of them, and so it is asking what fraction did he eat? Since he ate 1, you would put that on the numerator ( top) So the answer is 1/8.
Answer:
Step-by-step explanation:
6x+3