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vesna_86 [32]
3 years ago
12

Six friends go to lunch. They plan to spilt the bill evenly and then they plan to leave a 20% tip. The bill comes out to $55.50.

The sales tax is 7%. How much will each person pay? (HINT: Don't tip on tax!)
A. $18.87
B. $13.99
C. $11.75
D. $11.66
Mathematics
1 answer:
AlekseyPX3 years ago
8 0
First, you must find the tip. Multiply 55.50 by 0.2 (the decimal form of 20%). 55.50*.2=11.10. Next, find the sales tax. You don't pay tip on tax as the hint declares, but you also don't pay tax on the tip. Therefore, you must find 7% of 55.50 by multiplying 55.50 by 0.07 (the decimal form of 7%). 55.50*.07=3.885. You don't want to round until the very end, so we leave that in full form for now. Finally, add all your expenses: 55.50+11.10+3.885=70.485. Now to figure out how much each person will pay. There are six people paying, so 70.485/6= 11.7475. Finally, round to the nearest hundredth, otherwise known as the nearest cent, to get the answer of $11.75, or C.
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Which of the following theorems verified that angle xyz is congruent too angle uwv?
icang [17]

Answer:

Option B.  AA

Step-by-step explanation:

we know that

Angle-Angle (AA) Similarity Postulate, states that If two angles of one triangle are congruent to two angles of another, then the triangles must be similar

In this problem

<em>In the triangle XYZ</em>

∠X=70°

∠Y=90°

∠Z=90°-70°=20° (remember that angle X and angle Z are complementary)

<em>In the triangle UWV</em>

∠V=20°

∠W=90°

∠U=90°-20°=70° (remember that angle V and angle U are complementary)

therefore

Traingles XYZ and UWV are similar by AA Similarity Postulate

3 0
3 years ago
A high speed train travels a distance of 503 km in 3 hours.
tensa zangetsu [6.8K]

The average speed, in km/minute, of the train is 2.79 km/minute

<h3>Calculating average speed </h3>

From the question, we are to calculate the average speed in km/minute

From the given information,

Distance travelled = 503 km

Time taken = 3 hours = 3 × 60 minutes = 180 minutes

Using the average speed formula,

Average speed = Distance / Time

∴ Average speed of the train = 503 / 180

Average speed of the train = 2.79 km/minute

Hence, the average speed, in km/minute, of the train is 2.79 km/minute

Learn more on Calculating average speed here: brainly.com/question/12025128

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3 0
1 year ago
Help!!!
DochEvi [55]
I think it’s b so yea
6 0
2 years ago
Shandler rides his bike to school every day. He travels to thousand 560 feet in 64 second. How many feet did he travel per secon
zhenek [66]

He traveled 40 feet per second

4 0
3 years ago
Kevin’s family has a history of diabetes. The probability that Kevin would inherit this disease is 0.75. Kevin decides to take a
kvv77 [185]

Answer:D) 0.6375


Step-by-step explanation:

See, the probability that Kevin would inherit diabetes is 0.75

The accuracy of this test is 0.85

See as there is 85% chance of that the test will make right prediction so 85% of 0.75 is that probability that Kevin has diabetes and test will predict it correctly.

85% of 0.75 is 0.75*0.85

= 0.6375

Hope it helps!!!


5 0
3 years ago
Read 2 more answers
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