Smoothies weren't cutting it so we went to Red Robin to order a burger. Our bill was $5.79. Avon has a 5.25% tax and our
waitress earned a 15% tip. What was the total bill?

Answer:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27}[/tex]

Required

Solve

Change / to *

[tex]\frac{3x + 8}{36 - 2x} * \frac{3x^2 - 27}{27x^2 + 72x}[/tex]

Factor out 3

[tex]\frac{3x + 8}{36 - 2x} * \frac{3(x^2 - 9)}{3(9x^2 + 24x)}[/tex]

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{(9x^2 + 24x)}[/tex]

Factorize:

[tex]\frac{3x + 8}{36 - 2x} * \frac{(x^2 - 9)}{3x(3x + 8)}[/tex]

Cancel out 3x + 8

[tex]\frac{1}{36 - 2x} * \frac{(x^2 - 9)}{3x}[/tex]

Factorize:

[tex]\frac{1}{2(18 - x)} * \frac{(x^2 - 9)}{3x}[/tex]

Combine

[tex]\frac{x^2 - 9}{2*3x(18 - x)}[/tex]

[tex]\frac{x^2 - 9}{6x(18 - x)}[/tex]

Express the numerator as a difference of two squares

[tex]\frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Hence:

[tex]\frac{3x + 8}{36 - 2x} / \frac{27x^2 + 72x}{3x^2 - 27} = \frac{(x - 3)(x+3)}{6x(18 - x)}[/tex]

Answer:

47 inches and 66 inches

Step-by-step explanation:

took test

Answer:

x = 11?

Step-by-step explanation:

I do not know right now sorry hope someone else helps you!

Answer:

5.428571

Step-by-step explanation:

[tex]5\frac{3}{7}[/tex]

take the fraction and divide that:

[tex]\frac{3}{7} =0.428571[/tex]

then just add 5:

5 + 0.428571 = 5.428571

or...

convert the mixed fraction to improper fraction:

[tex]5\frac{3}{7} = \frac{38}{7}[/tex]

divide like normal:

[tex]\frac{38}{7} = 5.428571[/tex]

Answer:

C&B i Think this is it

enjoy dis hehehehehheh OOF

Answer:

The answer is b and c

Step-by-step explanation:

Answer:

$2.25

Step-by-step explanation:

You set one of the variables equal to the other variable then plug it in to the other equation and find the value of the other to use to find for that one.

Answer:

[tex]3/8* 16 \\3*2\\6[/tex]

Step-by-step explanation:

Thus the mileage of water for this vehicle is 6 miles per gallon.

Answer:

x = 11

Step-by-step explanation:

Equation:

(5x+1) + (12x-8) = 180

You are doing this because both sides on a straight line add up to 180 degrees. The two angles would add up to 180 degrees since they are on the one side of the line.

Simplifying:

(5x+12x) + (1-8) = 180

Add your common variables together; keep in mind that variables are placed before numbers.

Adding:

17x-7 = 180

Process:

To do this, you are going to simply do the opposite operation for the number without the variable on both sides of the equal sign.

17x - 7 = 180

     + 7    + 7

------------------

17x = 187

-----   ------

17       17

x = 11

You divided by 17 on both sides because you needed to get the x variable by itself. Hope this helped! :)

Answer:

FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2  

r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared  

r = 12 "  

area = 4 X pi X 12 X 12 = 576 pi" squared  

ANSWER Area will be 4 times the original

Step-by-step explanation:

Answer:

The answer is D. 8.7

Step-by-step explanation:

A=4πr2

Solving fore

r=1

2A

π=1

2·951.1

π≈8.69978in

Answer:

it might be positive 9 because -5+14=9

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

Answer:

it 5.5⋅10−^8m

Step-by-step explanation:

Unless I'm missing something important here, you can find the difference between the two wavelengths by subtracting one from the other. Since you're interested in finding how much longer the wavelength associated with the orange light is, subtract the wavelength of the green light from the wavelength of the orange light. You know that the two measured wavelengths are 6.15 ⋅ 10 − 7 m → orange light 5.6 ⋅ 10 − 7 m → green light Therefore, the difference between the two wavelengths will be Δ wavelength = 6.15 ⋅ 10 − 7 m − 5.6 ⋅ 10 − 7 m = 5.5 ⋅ 10 − 8 m

Answer:

284

Step-by-step explanation:

9 × 13ˣ = 9 × exp(ln(13ˣ ))

… = 9 × exp(x ln(13))

… = A₀ × exp(kx)

so that

A₀ = 9

k = ln(13)

Answer:

to prove:

mo=qo (given in the question)

angle m = angle q (given in the question)

angle MOP= angle QON (both the triangles meet at angle O so the angles are equal)

hence they are congruent.

Step-by-step explanation:

hope so its right

mark brainliest

Answer:

1 2 − 6 + 2

Step-by-step explanation:

Answer:

understandable

Step-by-step explanation:

Answer:

[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]

Step-by-step explanation:

The systems of equations are

Let us assume the rate of the current be c

Now actual speed against the current is (15 - c)

And, the actual speed with the current is (15 + c)

Here we applied the time formula i.e. distance by speed

Also the upstream time  - downstream time = 4

Now the equations are

[tex]\frac{63}{15 - c} - \frac{63}{15 + c} = 4[/tex]

Answer:

the median should be 2.5

Answer:

2.5

Step-by-step explanation:

By taking the dots ploted on the graph we can take those as actual numbers and put them on a line.

0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5

Now you will take off the numbers until you get to the middle number

0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5

Because the middle two numbers are 2 and 3, you take the mean of the two numbers.

(2 + 3) / 2

= 2.5

Answer:

12.5

Step-by-step explanation:

The value of LL' is 5 units.

Option A is the correct answer.

It is the movement of the shape in the left, right, up, and down direction.

The translated shape will have the same shape and shape.

There is a positive value when translated to the right and up.

There is a negative value when translated to the left and down.

We have,

ML' = 2.5

Triangle JKL dilated to Triangle J'K'L' with a scale factor of 1/3.

This means,

LL' = (2.5 x 3) - 2.5

LL' = 7.5 - 2.5

LL' = 5

Thus,

LL' is 5 units.

Learn more about translation here:

https://brainly.com/question/12463306

#SPJ2

Answer:

Percent sales tax = 9%

Step-by-step explanation:

Listed price = $29

Price with tax = $31.61

Amount of tax = Price with tax - Listed price

= $31.61 - $29

= $2.61

Find the percent sales tax.

Percent sales tax = $2.61/$29 × 100

= 0.09 × 100

= 9%

Percent sales tax = 9%

Answer:

6x + 12x + 24x + 48x.....

Step-by-step explanation:

A squirrel Is preparing for winter

It begins to collect acorns

Let x represent the acorns

He collects 6 the first day and doubles the amount he collects each day

The equation can be represented as

6x + 12x + 24x + 48x........

Answer:

(C). [tex]\frac{22\pi }{3}[/tex] yd.

Step-by-step explanation:

Answer:

71.8

Step-by-step explanation:

74*0.97=71.78

Rounds up to 71.8

Answer:

There are two possible values for x.

The function value will be zero for the values of x.