Lets x = # of hours
Powersports Plus: $30 an hour plus a non-refundable deposit of $50.
Write an expression to show how to calculate the cost of Powersports Plus.
30x + 50
Sun & Surf: $20 an hour plus a non-refundable deposit of $80.
Write an expression to show how to calculate the cost of Sun & Surf.
20x + 80
Next, set the 2 expressions equal to each other.
30x + 50 = 20x + 80
Solve:
30x + 50 = 20x + 80
10x = 30
x = 3
Two companies cost Kyle the same amount of money at 3 hours
5x+29 = 45
5x = 16 (subtract 29 from both sides)
x = 16/5.
That is the answer, I don't know where you got the value of 5 but it doesn't make sense. To prove it, let's try put it into the equation:
5x5 + 29 =45
25 + 29 = 45
Wrong! 25 + 29 = 54.
Answer:
The point estimate for
is 8.5 hours.
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, a large sample size can be approximated to a normal distribution with mean
and standard deviation
.
In this problem
We are working with a sample of 81 adults, so the point estimae of the mean is the mean number of weekly hours that U.S. adults use computers at home.
So, the point estimate for
is 8.5 hours.
Recall that the diagonals of a rectangle bisect each other and are congruent, therefore:

Substituting the given expression for each segment in the first equation, we get:

Solving the above equation for x, we get:

Substituting x=10 in the equation for segment EI, we get:

Therefore:

Now, to determine the measure of angle IEH, we notice that:

therefore,

Using the facts that the triangles are right triangles and that the interior angles of a triangle add up to 180° we get:

<h2>Answer: </h2>
Answer:
x = -4
Step-by-step explanation:
f(x) = x² - 16
This is the difference of squares
which factors as
f(x) = (x - 4)(x + 4)
Therefor the negative zero is
x = -4