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Feliz [49]
3 years ago
15

Luca is planning to pay the restaurant bill for his coworkers. The bill was $193.75. A 4% tax was then added by the waiter. If L

uca wants to leave a 16% tip on the total amount including the tax, how much should Luca pay?
Mathematics
2 answers:
Zigmanuir [339]3 years ago
7 0

Answer:

$201.50

Step-by-step explanation:

just took the. test

horrorfan [7]3 years ago
4 0

Answer:

If Luca wants to leave a 16% tip on the total amount including the tax, he should pay $32.24.

Step-by-step explanation:

First, you have to calculate the 4% of the bill and add that amount to the total of the bill to determine the total amount including the tax:

193.75¨*4%=7.75

193.75+7.75=201.5

Now, you have to calculate 16% of the amount including the tax:

201.5*16%=32.24

According to this, the answer is that if Luca wants to leave a 16% tip on the total amount including the tax, he should pay $32.24.

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A triangular sail has base of 4 feet and a height of 5 1/2 feet. What is the area of the sail?
Step2247 [10]
Area of a triangle: (1/2)bh, where b = base and h = height

(1/2) x 4 x (11/2) 
= (4/2) x (11/2)
= 2 x (11/2) 
= 11
4 0
3 years ago
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2m=-6n-5 literal equation
Bingel [31]

Answer:

read below

Step-by-step explanation:

Alright, archtan /  

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Knowing this we are solving for the inverse of tan -1. We are basically being asked the question what angle/radian does tan(-1) equal. Using the unit circle we can see that tan(1)= pi/4.

Since the "Odds and Evens Identity" states that tan(-x) = -tan(x). Tan(-1)= -pi/4.

Knowing that tan is negative in quadrants 2 and 4. the answer is in either of those two quadrants. BUT!!! since inverse of tan is restricted to quadrants 1 and 4 we are left with the only answer -pi/4.

the answer is m=-3n-5/2 or n=2m+5/6

8 0
3 years ago
A certain region currently has wind farms capable of generating a total of 2200 megawatts (2.2 gigawatts) of power. Assuming win
sveta [45]

Answer:

<u>The correct answer is A. 4,818'000,000 kilowatt-hours per year and B. 481,800 households.</u>

Step-by-step explanation:

1. Let's review the information provided to us for solving the questions:

Power capacity of the wind farms = 2,200 Megawatts or 2.2 Gigawatts

2. Let's resolve the questions A and B:

Part A

Assuming wind farms typically generate 25​% of their​ capacity, how much​ energy, in​ kilowatt-hours, can the​ region's wind farms generate in one​ year?

2,200 * 0.25 = 550 Megawatts

550 Megawatts = 550 * 1,000 Kilowatts = 550,000 Kilowatts

Now we calculate the amount of Kilowatts per hour, per day and per year:

550,000 Kw generated by the farms means that are capable of produce 550,000 kw per hour of energy

550,000 * 24 = 13'200,000 kilowatt-hours per day

<u>13'200,000 * 365 = 4,818'000,000 kilowatt-hours per year</u>

Part B

Given that the average household in the region uses about​ 10,000 kilowatt-hours of energy each​ year, how many households can be powered by these wind​ farms?

For calculating the amount of households we divide the total amount of energy the wind farms can generate (4,818'000,000 kilowatt-hours) and we divide it by the average household consumption (10,000 kilowatt-hours)

<u>Amount of households =  4,818'000,000/10,000 = 481,800</u>

8 0
3 years ago
Solve for x.<br><br> x3=−1000<br><br> Enter your answer in the box.<br> x =
levacccp [35]
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In short, Your Answer would be: -10

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7 0
3 years ago
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What is the measure of angle K? 102o 118o 134o 156o
stealth61 [152]

Answer:

The measure of angle K is 118°

Step-by-step explanation:

The sum of the internal angles of a quadrilateral is 360°. So, in this case, we can formulate the following equation:

K + L + M + J = 360°

Where K, L, M, and J represent the measure of the angle K, L, M and J respectively.

From the figure we know that: L is 46°, M is 118° and J is 78°. Replacing these values on the initial equation and solving for K we get:

K + 46° + 118° + 78° = 360°

K + 242° = 360°

K = 360° - 242°

K = 118°

So, the measure of angle K is 118°

Hope this helps :)

5 0
3 years ago
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