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seraphim [82]
3 years ago
5

A waiter receives tips from each customer. On average, the tip is 15% of the customer’s bill. At this rate, which of the followi

ng is closest to the tip the waiter can expect when a customer has a bill that is $78.20?
A) $8.00

B) $10.00

C) $12.00

D) $14.00


(Pls add in the step-by-step explanation)
Mathematics
1 answer:
Lelechka [254]3 years ago
4 0

Answer:

C) $12.00

Step-by-step explanation:

Take the price of the bill

78.20

Find 10 %

78.20 * .1

7.82

Take half ( which is 5%)

3.91

Add the two amounts together

7.82+3.91

11.73

Rounding to the nearest dollar

12.00

OR

Round the bill to 80.00

Take 15%

80 * .15

12.00

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B, because the mid segment is half the length of the third side
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A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?
professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let x\cdot y = 18, we get an additional equation by implicit differentiation:

x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0 (1)

From the first equation we find that:

x = \frac{18}{y} (2)

By applying (2) in (1), we get the resulting expression:

\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0 (3)

y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}

\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}

If we know that y = 6 and \frac{dy}{dt} = 8, then the first derivative of x in time is:

\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)

\frac{dx}{dt} = -4

From (1) we determine the value of x at this instant:

x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}

x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)

x = -6\cdot \left(\frac{-4}{8} \right)

x = 3

The value of x at this instant is 3.

4 0
3 years ago
Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Dea
olga_2 [115]

Answer: Badwater is 282 feet below the sea level.

Step-by-step explanation:

Given: Death Valley headquarters in California is 190 feet below sea level. Badwater, America's lowest point, is 92 feet lower than Death Valley headquarters.

To find the depth of Badwater we need to add depth of Death Valley headquarters from sea level to the depth of Badwater from Death valley headquarters.

i.e. The Depth of Badwater from sea-level = 190 feet +92 feet

= 282 feet

Hence, Badwater is 282 feet below the sea level.

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4 years ago
Find the slope pls...
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Answer:

C is the answer

Step-by-step explanation:

8 0
3 years ago
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A room contains three urns: u1, u2, u3. u1 contains 3 red and 2 yellow marbles. u2 contains 3 red and 7 yellow marbles. u3 conta
Archy [21]

Answer:

\dfrac{11}{30}

Step-by-step explanation:

Urn U1: 3 red and 2 yellow marbles, in total 5 marbles.

The probability to select red marble is \dfrac{3}{5}=0.6.

Urn U2: 3 red and 7 yellow marbles, in total 10 marbles.

The probability to select red marble is \dfrac{3}{10}=0.3.

Urn U1: 1 red and 4 yellow marbles, in total 5 marbles.

The probability to select red marble is \dfrac{1}{5}=0.2.

The probability to choose each urn is the same and is equal to \frac{1}{3}.

Thus, the probability that the marble is red is

\dfrac{1}{3}\cdot 0.6+\dfrac{1}{3}\cdot 0.3+\dfrac{1}{3}\cdot 0.2=\dfrac{1.1}{3}=\dfrac{11}{30}.

4 0
3 years ago
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