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3 years ago

The bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip. What was the total bill including tip?

Mathematics

2 answers:

lys-0071 [83]3 years ago

4 0

Answer:

156.86

Step-by-step explanation:

136.40 + 15% is 20.46 added to 136.40 is 156.86

BlackZzzverrR [31]3 years ago

3 0

Answer:

$156.86.

Step-by-step explanation:

We have been given that the bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip.

The total bill including tip would $136.40 plus 15% of $136.40.

$\text{Total bill}=\$136.40+\frac{15}{100}\times \$136.40$

$\text{Total bill}=\$136.40+0.15\times \$136.40$

$\text{Total bill}=\$136.40+\$20.46$

$\text{Total bill}=\$156.86$

Therefore, the total cost of bill including tip would be $156.86.

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Last one!! I need the steps please! Will mark brainliest!

hoa [83]

Answer:

$h(t)=-6(t-2)^2+24$

Step-by-step explanation:

Given function:

$h(t)=-6t^2+24t$

where:

h = height (in feet)
t = times (in seconds)

Rewrite in the form $h(t)=a(t-h)^2+k$

The quickest way to do this is to expand $h(t)=a(t-h)^2+k$ and compare coefficients with the original function.

$\begin{aligned}h(t)& =a(t-h)^2+k\\ & = at^2-2aht+ah^2+k\end{aligned}$

Comparing coefficients with $h(t)=-6t^2+24t$

$\begin{aligned}\implies at^2& =-6t^2\\ a &=-6\end{aligned}$

$\begin{aligned}\implies -2aht & =24t\\ -2(-6)ht& =24t\\ 12ht & = 24t\\ 12h & = 24\\ h & = 2\end{aligned}$

$\begin{aligned}\implies ah^2+k & = 0\\(-6)(2)^2+k &=0\\ -24+k & =0\\ k &=24 \end{aligned}$

Therefore, substituting the found values into the equation:

$h(t)=-6(t-2)^2+24$

6 0

2 years ago

What must be added to each term of the ratio 3:5, so that it becomes 4:5

Alexxandr [17]

Answer:

5 must be added to both the terms to get the ratio 4:5.

Step-by-step explanation:

(3+x)/(5+x)=4/5

Therefore,

15+5x=20+4x

=5x-4x=20-15

=x=5

I hope it's helpful!

7 0

2 years ago

Read 2 more answers

What expression is equivalent to -3 - (7.5 + 4)?

postnew [5]

parenthesis first -3-11.5

then subtract so your answer is -14.5

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2 years ago

What are the degree and leading coefficient of the polynomial?<br> 5w^2 + 15 - w^4 + 9w

koban [17]

Degree is 4 and coefficient is 1

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3 years ago

A scrap metal dealer claims that the mean of his sales is "no more than $80," but an Internal Revenue Service agent believes the

Artyom0805 [142]

Answer:

There is enough not evident to support dealer's claim that his sales is no more than $80.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $80

Sample mean, $\bar{x}$ = $91

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = $21

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 80\text{ dollars}\\H_A: \mu > 80\text{ dollard}$

We use one-tailed t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{91 - 80}{\frac{21}{\sqrt{20}} } = 2.3425$

Now, $t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = 1.729$

Since,

The calculated test statistic is greater than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Conclusion:

There is enough not evident to support dealer's claim that his sales is no more than $80.

4 0

3 years ago