All categories

3 years ago

If a restaurant bills totals $85, what amount should be left as a 15$ tips A. $97.75 B. $11.90 C.$12.25 D. $12.75

1 answer:

4 0

If the total bill is $85, and you want to leave a 15% tip, then you can calculate it as follows:

85 * 15%

= 85 * 15/100

= 85 * 0.15

= 12.75

The amount that should be left as a tip is D. $12.75.

You might be interested in

What is the domain of the function y=/x-1? -o0 -1 O 0 O 15x

SCORPION-xisa [38]

The answer is -1 because I don’t really know the real answer

7 0

3 years ago

What is the antiderivative of 3x/((x-1)^2)

Maslowich

Answer:

$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

Step-by-step explanation:

Given

$\int \:\:3\cdot \frac{x}{\left(x-1\right)^2}dx$

$\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx$

$=3\cdot \int \frac{x}{\left(x-1\right)^2}dx$

$\mathrm{Apply\:u-substitution:}\:u=x-1$

$=3\cdot \int \frac{u+1}{u^2}du$

$\mathrm{Expand}\:\frac{u+1}{u^2}:\quad \frac{1}{u}+\frac{1}{u^2}$

$=3\cdot \int \frac{1}{u}+\frac{1}{u^2}du$

$\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx$

$=3\left(\int \frac{1}{u}du+\int \frac{1}{u^2}du\right)$

$\int \frac{1}{u}du=\ln \left|u\right|$ ∵ $\mathrm{Use\:the\:common\:integral}:\quad \int \frac{1}{u}du=\ln \left(\left|u\right|\right)$

$\int \frac{1}{u^2}du=-\frac{1}{u}$ ∵ $\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1$

$=3\left(\ln \left|u\right|-\frac{1}{u}\right)$

$\mathrm{Substitute\:back}\:u=x-1$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)$

$\mathrm{Add\:a\:constant\:to\:the\:solution}$

$=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

Therefore,

$\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C$

4 0

3 years ago

Which number is a perfect cube? 21 49 343 600

artcher [175]

Answer:

343

Step-by-step explanation:

7 cubed = 7 x 7 x 7 = 343

so, 343 is a perfect cube.

6 0

2 years ago

Based on this stock price model, what is the best prediction of what the price will do next?

andrew11 [14]

Go up. This is because the stock price is going up.

7 0

2 years ago

Please, Please help me. What is the value of x? Show all of your work.

aleksandrvk [35]

Answer:

Step-by-step explanation:

ΔKLJ and ΔNPM are similar (Angle-Angle). Therefore the sides are in proportion:

$\dfrac{MP}{JL}=\dfrac{MN}{JK}$

We have:

MP = 4x - 4

JL = 20

MN = 30

JK = 25

Substitute:

$\dfrac{4x-4}{20}=\dfrac{30}{25}$ cross multiply

$25(4x-4)=(20)(30)$ use distributive property

$(25)(4x)+(25)(-4)=600$

$100x-100=600$ add 100 to both sides

$100x=700$ divide both sides by 100

$x=7$

7 0

3 years ago