9514 1404 393
Answer:
$121.00
Step-by-step explanation:
Together, the tax and tip were 6% and 15% of $100, or 21% of $100. That means the total cost of Marco's mean was ...
(1 +21%) × $100 = 1.21×$100 = $121.00
<h2>
Answer:</h2>
The expression which is equivalent to the following complex fraction is:

<h2>
Step-by-step explanation:</h2>
We are given a expression in terms of two variables x and y as follows:

Now, on taking least common multiple in the numerator as well as in the denominator we have:

which on further simplifying is:

Answer:
AC ≈ 5.03
Step-by-step explanation:
We can solve the problem above using the trigonometric ratio, they are;
SOH CAH TOA
sin Ф = opposite / hypotenuse
cosФ= adjacent/ hypotenuse
tan Ф = opposite / adjacent
From the diagram above, in reference to angle B;
opposite =AC and adjacent =BC
Since we have opposite and adjacent, the best formula to use is
tanФ = opposite / adjacent
tan B = AC / BC
tan 40 = AC/ 6
Multiply both-side of the equation by 6
6× tan 40 = AC/ 6 × 6
At the right-hand side of the equation, 6 will cancel-out 6 leaving us with just AC
6×tan 40 = AC
5.034598 = AC
AC ≈ 5.03 to the nearest hundredths
$90 ×.06=5.40
$95.40×.20=19.08
95.40+19.08=114.48
114.48/3=38.16
Each person pays 38.16
check your work 38.16×3=$114.48
You pay $38.16 for your bill unless your friends stiff you.
Answer:

Step-by-step explanation:
Linear Modeling
The initial temperature outside is 84 degrees.
We are told the temperature drops 2 degrees every hour.
Let's call x to the number of hours elapsed. After x hours, the temperature would have dropped by 2x degrees, since it's a rate of 2 degrees per hour.
That drop is subtracted from the initial temperature to produce the linear model as follows:

This is the linear equation that represents the described situation.