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mafiozo [28]
3 years ago
9

Alec ate lunch at a restaurant. The bill came to $87. If he left an 18% tip, how much was the tip?

Mathematics
1 answer:
Monica [59]3 years ago
5 0

Answer:

$87 x .18 = $15.66

Tip = $15.66

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If you set x equal to 0, you will get that the y intercept is 2.
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A helicopter is 105 ft. above sea level, while a submarine is directly underneath the helicopter and has a position of 62 ft. be
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A circle has an area of 153.86 units2 and a circumference of 43.96 units. If the radius is 7 units, what can be said about the r
dusya [7]

Step-by-step explanation:

\text{Circumference:}\\\\C=2\pi r\\\\\text{Area:}\\\\A=\pi r^2\\\\\dfrac{A}{C}=\dfrac{\pi r^2}{2\pi r}\qquad\text{cancel}\ \pi\ \text{and}\ r\\\\\dfrac{A}{C}=\dfrac{r}{2}\\\\\bold{The\ number\ of\ areas\ of\ a\ circle\ is}\ \dfrac{r}{2}\ \bold{larger\ than\ its\ circumference}.

\text{For a given area and circumference}:\\\\A=153.86,\ C=43.96,\ r=7\\\\\dfrac{A}{C}=\dfrac{153.86}{43.96}=3.5=\dfrac{7}{2}=\dfrac{r}{2}\\\\\dfrac{A}{C}=\dfrac{r}{2}

4 0
3 years ago
The region bounded by y=(3x)^(1/2), y=3x-6, y=0
Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is y = (3x)^{\frac{1}{2} }

⇒ y^{2} = 3x ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

y^{2} - y - 6 = 0

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = \int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx

= \sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}

= [\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} }  }{3}] - [13.5 - 18 - 6 + 12]

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0
3 years ago
The numeral 16 is a _____ of 4 because it is the product of a given number sbd any whole number
S_A_V [24]

Answer:

perfect square

Step-by-step explanation:

A perfect square is a number multiplied by itself:

16 = 4^2 = 4 * 4

5 0
3 years ago
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