Answer:
-4 seconds
Step-by-step explanation:
The question says he lost 8 seconds off the leader for each of the 3 pit stops that he made
8 x 3 = 24
This means that 24 seconds was lost.
If 10 seconds were gained for the next 2 pit stops, the driver gained a total of
2 x 10 = 20seconds
The amount of time he is off leader =
20 -24
= -4 seconds
We have it that -4 seconds represents time he is off the leader.
Thank you!
1/4+1/4+1/4+1/4+1/4+1/4+<span>1/4+1/4 = 8 Miles
1/4+1/4 = 1/2 Mile
1/2+1/2 = 1 Mile
1+1 = 2 Miles</span>
The equivalence of the equation is 5x + 48 = 5x + 3.
Since 48 cannot be equal to 3, hence there are no solution.
<h3>What is the value of x?</h3>
Given the equation; x-4[ x - 2( x + 6) ] = 5x + 3
We remove the parentheses
x-4[ x - 2( x + 6) ] = 5x + 3
x-4[ x - 2x - 12 ] = 5x + 3
x - 4x + 8x + 48 = 5x + 3
5x + 48 = 5x + 3
We can go further and collect like terms
5x - 5x + 48 = 3
48 ≠ 3
Since 48 cannot be equal to 3, hence there are no solution.
Learn more about equations here: brainly.com/question/14686792
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Answer:
$69560
Step-by-step explanation:
The yearly compensation package includes a yearly salary of $65000, the health insurance plan of $350 per month and a life insurance premium of $30 per month.
Total compensation in health insurance plan is $(350 × 12) = $4200
Total compensation in life insurance premium is $(30 × 12) = $360
Therefore, total yearly compensation package is $(65000 + 4200 + 360) = $69560 (Answer)
Answer:
$519
Step-by-step explanation:
Given the amount of profit made expressed as y=-2x^2+105x-859
At maximum profit, dy/dx = 0
dy/dx = -4x + 105
0 = -4x + 105
4x = 105
x = 105/4
x = 26.25
Substitute into the original function
y=-2x^2+105x-859
y=-2(26.25)^2+105(26.25)-859
y = - 1,378.125+2,756.25-859
y = 519.125
Hence the maximum amount of profit the company can make is $519
