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3 years ago

Three persons had dinner in a restaurant. The total bill came to $51.60.

Mathematics

1 answer:

SVETLANKA909090 [29]3 years ago

6 0

Answer:

Each person tipped $4.30.

Step-by-step explanation:

We know that the total bill was $51.60. The three people paid a 25% tip, which was split evenly among them.

Since the tip is 25%, it will be 25% of the total. Hence:

$0.25(51.6) = \$ 12.9$

The total tip is $12.9.

And since it was evenly split among three people, each person tipped:

$\displaystyle \frac{12.9}{3}=\$ 4.30$

Each person tipped $4.30.

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Answer:

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Step-by-step explanation:

Consider the given expression is

$\ln (x\sqrt[3]{x^2+1})$

We need to rewrite the expression as a sum,difference,or multiple of logarithms.

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Using the properties of logarithm we get

$\ln x+\ln (x^2+1)^{\frac{1}{3}}$ $[\because \ln (ab)=\ln a+\ln b]$

$\ln x+\frac{1}{3}\ln (x^2+1)$ $[\because \ln (a^b)=b\ln a]$

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3 years ago

How do I get the answer to this math problem n + 7 < -3 what is the formula for the math problem

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3 years ago

Help help help!! Does anyone know number 1 and 2?

iren [92.7K]

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2. A^2 + 9^2 = 22^2
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3 years ago

Terry and Callie do word processing. For a certain prospectus Callie can prepare it two hours faster than Terry can. If they wor

Dahasolnce [82]

Time taken by jerry alone is 10.1 hours

Time taken by callie alone is 8.1 hours

Solution:

Given:- For a certain prospectus Callie can prepare it two hours faster than Terry can

Let the time taken by Terry be "a" hours

So, the time taken by Callie will be (a-2) hours

Hence, the efficiency of Callie and Terry per hour is $\frac{1}{a-2} \text { and } \frac{1}{a} \text { respectively }$

If they work together they can do the entire prospectus in five hours

$\text {So, } \frac{1}{a-2}+\frac{1}{a}=\frac{1}{5}$

On cross-multiplication we get,

$\frac{a+(a-2)}{(a-2) \times a}=\frac{1}{5}$

$\frac{2 a-2}{(a-2) \times a}=\frac{1}{5}$

On cross multiplication ,we get

$\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}$

using quadratic formula:-

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$x=\frac{12 \pm \sqrt{144-40}}{2}$

$\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}$

If we take a = 0.9, then while calculating time taken by callie = a - 2 we will end up in negative value

Let us take a = 10.1

So time taken by jerry alone = a = 10.1 hours

Time taken by callie alone = a - 2 = 10.1 - 2 = 8.1 hours

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3 years ago