A restaurant customer left ​$1.40 as a tip. The tax was 5% and the tip was 20​% of the cost including tax. a. Which information is not needed to compute the bill after tax and​ tip? b. What was the total​ bill?

Answer:

47.5 percent is correct

Step-by-step explanation:

We can divide both sides of the equation by 43 to solve for x:

90x / 43 - 47y / 43 = -49 / 43

x = -49/43

We can substitute this value for x back into either of the original equations to find y. Let's substitute it into the first equation:

-5x + 3y = -6

(-5 * -49/43) + 3y = -6

y = (-6 + 5 * 49/43) / 3

y = 17/43

The solution to the system of equations is (x, y) = (-49/43, 17/43).

To check our solution, we can substitute the values we found for x and y back into the original equations and see if they hold true.

In the first equation, -5x + 3y = -6, substituting the values we found for x and y gives us:

(-5 * -49/43) + (3 * 17/43) = -6

This simplifies to -6 = -6, which is true, so the solution holds for this equation.

In the second equation, 9x - 4y = 1, substituting the values we found for x and y gives us:

(9 * -49/43) - (4 * 17/43) = 1

This simplifies to -1 = -1, which is true, so the solution holds for this equation as well.

Therefore, the solution (x, y) = (-49/43, 17/43) is correct.

Answer:

-look below!

Step-by-step explanation:

equation: s=3+4    s=sister

process: you would add 3 to 4 which is 7, the age of Raymond’s sister.

Raymond’s sister is 7 years old.

Answer: 96%

Step-by-step explanation: 24/25= 0.96

Answer:

7 1/2

Step-by-step explanation:

Keep Change Flip

3 x 5/2

=15/2

=7 1/2

Hope this helps :)

Answer:

#5 = option a (129.38 miles):

We are told that the cities are 17.25 inches apart, and that 2 inches equal 15 miles. First we have to divide 17.25 inches by 2 we end up with 8.62500 inches (not simplified yet). Next, we just take 8.62500 inches and multiply that with 15, which leaves us with 129.37500 inches. Then we just round that to the nearest hundredth which will give us 129.38 inches which means 129.38 miles as well!

#2 = option a (2.4 inches)

We know that bigger rectangle's length is 16 inch and that smaller rectangle's length is 3.2 inches. We just have to calculate the decrease of the length and we do that by dividing. We have to do 16 inches divided by 3.2 inches which equals 5. (You can double check that by multiplying 3.2 inches by 5 which would equal 16 inches) Now to find the width of the smaller rectangle, we just have to divide the width of the bigger rectangle, which is 12 inches, by 5 which would give us 2.4 inches!

#4 = ?

#6 = option c (7.2cm)

So basically I just did 25cm divided by 10cm which equals 2.5cm. (You can also do 25cm divided by 2.5cm to get 10cm if you want to double check). Then I just did 18cm divided by 2.5 cm which led me to the answer 7.2cm)

#3 = ?

Answer: A

Step-by-step explanation: 17.25/2=8.652

8.652*15=129...

rounded it would be equivalent to answer choice A.

Answer:

30

Step-by-step explanation:

5 x 6 = 30

Answer: (1,2) and or (-1.-2)

Step-by-step explanation:

if you look at the graph and go to a point that is on a corner of a square like (0.-4) you count all the squares tell you hit the next point just like the last

Answer:

-p + 2

Step-by-step explanation:

Given:

-p - 11 + 13

Question:

Simplify

Work:

Simply just combine like terms

-p - 11 + 13

-p + 2

Solution:

-p + 2

Hope this helped! :D

Answer:-p+

Step-by-step explanation:

Answer:

0.1 kilograms of melon in each bowl.

Step-by-step explanation:

[tex]\frac{0.4}{4}[/tex] = 0.1

Answer:

0.1 kilogram of melon are on each bowl

Step-by-step explanation:

[tex]\frac{4}{0.4} = 0.1[/tex]

Answer:

3 × 7 = 21

10 × 5 = 50

21 + 50 = 71

Therefore, the answer is 71.

Answer:

41

Step-by-step explanation:

Answer: 1/4, 16/3, 3

The lower quartile value is 13 and the upper quartile value is 27.

What is a Quartile?

A quartile divides the data set into four equal halves, that is, each set has an equal number of terms. The quartiles are given by Q₁(the lower quartile value), Q₂ (the median), Q₃ (the upper quartile value).

We first arrange the data set in ascending order. Here, the data set is already in ascending order, that is, 10,11,13,18,19,21,22,25,27,30,32.

So we will divide the above set into two equal halves. As the given set has 11 terms,

So the median is [tex]\frac{n+1}{2}[/tex] where n is the number of terms.

We have n=11

⇒ Median= [tex]\frac{11+1}{2}[/tex] th term

                = 6th term

⇒ Median= 21

Now the data to the left side of the median value will give the lower quartile and the data to the right will give the upper quartile.

The data to the left of median value 21 is 10,11,13,18,19.

The median value of this data will give the lower quartile value.

Median = [tex]\frac{5+1}{2}[/tex]th term= 3rd term

              =13

⇒Lower quartile is 13.

The data to the right of the median value 21 is 22,25,27,30,32

The median value of this data will give the upper quartile value.

Median = [tex]\frac{5+1}{2}[/tex]th term= 3rd term

             = 27

⇒Upper quartile is 27.

The correct answer is lower quartile= 13, upper quartile = 27

Learn more about quartiles here:

https://brainly.com/question/29809572

#SPJ2

Answer:

B

Step-by-step explanation:

Answer: Gordon types 64 words per minute.

Step-by-step explanation: Because Gordon is typing 3,136 words in 49 minutes, you would divide the words by the minutes. 3,136 ÷ 49 = 64. So, the units would be 64 words per minute.

Answer:

Step-by-step explanation:

Julie's income for 16 hours is $192. Julie takes only 24 hours to earn $288. The rate is $12 for each hour.

Given

Loren and Julie have different part-time jobs after school.

They are both paid at a constant rate of dollars per hour.

The income of Julie is $36 in 3 hours.

For 1 hour, Julie earns $12.

Thus the rate of Julie is $12 per hour.

For the 16 hours, Julie's income will be.

Julie's income for 16 hours = 12 x 16

Julie's income for 16 hours = $192

Julie's income for 16 hours is $192.

Julie takes time to earn $228 will be

Thus, Julie takes only 24 hours to earn $288.

Answer:

The area is approximately 201.06

Step-by-step explanation:

If you use the equation pi r^2, then we will get the answer. Since the diameter is double the radius, we should know that the radius is 8ft. Then we do the math and get the answer above.

Answer: A≈201.06ft²

Step-by-step explanation:

How to Calculate Diameter?

Diameter = Circumference ÷ π (when the circumference is given)

Diameter = 2 × Radius (when the radius is given)

Diameter = 2√[Area/π] (when the area is given)

Answer: 2.8, hope it helps.

Answer: 9b-4c=2a

Change from addition to subtraction problem to make 2a the answer.

well, is just that much plus the 20%, hmmm what's 20% of 72.60 anyway?

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 72.60}}{\left( \cfrac{20}{100} \right)72.60}\implies 14.52~\hfill \underset{total~pay}{\stackrel{72.60~~ + ~~14.52}{\text{\LARGE 87.12}}}[/tex]

The time for 22 leg-press reps is 11.9 seconds.

The lines of best fit is the trend line of the dataset.

The table is given as —

(x) : 12 32 7 26 28 15 1

(y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5

To determine the equation of line of best fit, we make use of a regression calculator.

Enter the above dataset in a regression calculator, the equation is: y = 0.120x + 9.274 (Approximated to Three Decimal Places / Rounded of to the Thousandths Place)

This means that x = 22.

So, we have:

y = 0.120 * 22 + 9.274

  = 2.640 + 9.274

  = 11.914

(Approximate to the nearest hundredths)

  = 11.9

Hence, the time for 22 leg-press reps is 11.9 seconds.

Hope my answer helps you.

:)

Please mark my answer as the BRAINLIEST. Plssssssssssssssssssss

Answer: 25%

Step-by-step explanation: 40-30= 10    10/40= .25

Answer: 90%

Step-by-step explanation:

Answer:

4.20

Step-by-step explanation:

"1" is in the tenths place, so we look at nine to see if its bigger or smaller than 5, it is so we round up to .20 giving us 4.20

(I also feel this isnt the whole question, but this is the answer for this part anyway.)

Answer:

its in the link

Step-by-step explanation: