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Sorry I only have 3, today is not my creativity day XD
Answer:
8 hours
Step-by-step explanation:
Given:
Sheyna drives to the lake with average speed of 60 mph and
Sheyna drives back from the lake with average speed of 36 mph
It took 2 hours less time to get there than it did to get back.
Let 
be the time taken to drive to lake.
Let 
be the time taken to drive back from lake.
hrs ..... (1)
To find:
Total time taken = ?
Solution:
Let D be the distance to lake.
Formula for time is given as:
Putting in equation (1):
So,
So, the answer is:
The x-intercept would be (-4,0)
Answer: the actual amount that Luke paid including tax is $55.65
Step-by-step explanation:
The initial price of the jacket is $75.
Luke bought a jacket that was 30% off the cost. This means that the amount of discount on the Jacket is
30/100 × 75 = 0.3 × 75 = $22.5
The price of the jacket after the discount had been applied is
75 - 22.5 = $52.5
He paid sales tax of 6% after the discount had been applied. This means that the amount of sales tax that he paid on the jacket is
6/100 × 52.5 = 0.06 × 52.5 = 3.15
Therefore, the actual amount that Luke paid including tax is
52.5 + 3.15 = $55.65
Answer:
3.78
Step-by-step explanation:
Percentage solution with steps:
Step 1: We make the assumption that 9 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$.
Step 3: From step 1, it follows that $100\%=9$.
Step 4: In the same vein, $x\%=42$.
Step 5: This gives us a pair of simple equations:
$100\%=9(1)$.
$x\%=42(2)$.
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{9}{42}$
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{42}{9}$
$\Rightarrow x=466.67\%$
Therefore, $42$ is $466.67\%$ of $9$.
