A restaurant customer left 1.10$ as a tip. The tax was 6% and the tip was 10% 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?
Answers
Answer:
a) not needed: C. the tax was 6%
b) $12.10
Step-by-step explanation:
You want the total bill including tax and tip, given that the tax was 6% and the tip was $1.10, which was 10% of the after-tax amount.
a) Not neededTo compute the total bill, we only need to know the tip percent and the amount on which the tip is computed. Here, the tip is computed after tax is added, so we do not need to know the tax rate.
b) Total billFrom the tip amount, we know ...
bill with tax · 10% = $1.10
Solving for the bill with tax, we find ...
bill with tax = $1.10/0.10 = $11.00
Then the total bill is ...
total bill = bill with tax + tip
total bill = $11.00 + 1.10 = $12.10
The total bill was $12.10.
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Related Questions
The table shows the ratio between the pounds of apples and the total cost:
5 pounds of apples equals 15 dollars, 6 pounds of apples equals 18 dollars, and 7 pounds equals 21 dollars.
Find equivalent ratios when the pounds of apples are 1, 2, and 3. Explain how to plot the equivalent ratios on a coordinate grid from the origin.
Answers
example (x, y) = (1, 3) or (5, 15)
On the coordinate grid x would be represented by the pounds of apples and y would be represented by the dollars
example (x, y) = (1, 3) or (5, 15)
4 to 7 please helpppppppppppppppp thanks
Answers
Step-by-step explanation:
4. P=2*(5+7)=2*12=24 ft
S= 5*7=35 ft
5. P=2*(3+8)=2*11=22 cm
S= 3*8=24 cm
6. P=2*10+12=20+12=32 m
S= 12*8/2=48 m
7. P=12+13+5=30 in.
S= 12*5/2=30 in.
Meghan made $458 in her last paycheck. If she would like to save at least $175 of it, how much can she spend? (Make an inequality)
Answers
Answer:
458 - x ≥ 175
Step-by-step explanation:
If you subtract 458-175 you get 283 so that how much Megan can spend.
Answer: 458 - x ≥ 175
How many sides do 4 nonagons and 4 triangles have in all?
Answers
Answer:
Sorry for the late answer!
Step-by-step explanation:
A nonagon has 9 sides so 9 * 4 = 36
and a triangle has 3 sides so 3 * 4 = 12
add them together (36 + 12 = 48)
Your final answer will be 12, Hope this helps, and have a great day!
Nonagons have 9 sides.
If there are 4 nonagons, then you will multiply 9 and 4.
9x4= 36
Triangles have 3 sides.
If there are 4 triangles, then you will multiply 3 and 4.
3x4= 12
In total, you will need to add them (12+36)
12+36= 48
This question requires you to enter the answer in the box provided on the screen.
Fractions should be entered in lowest terms using a forward slash (/) and converted to improper fractions when applicable.
Use only numbers, a negative sign (-), a decimal point (.), and/or a forward slash (/) to enter the answer.
What is the value of −4×312÷(−6)?
Answers
At the beginning of spring, Sophia planted a small sunflower in her backyard. When it was first planted, the sunflower was 25 inches tall. The sunflower then began to grow at a rate of 3 inches per week. How tall would the sunflower be after 9 weeks? How tall would the sunflower be after
w
w
w weeks?
ONLY SOLVE FOR W NOT THE 9 WEEKS
Answers
Answer:
25+3w
Step-by-step explanation:
Since it started at 25 inches, you put 25.
And since every week it grows 3 inches it would be 3w.
So 25+3w
Joelle can read 3 pages in 4 minutes, 4.5 pages in 6 minutes, and 6 pages in 8 minutes. Paxton can read 3 times as fast as Joelle. Which is the equation for the number of pages y that Paxton can read in x minutes?
A. y = 9/4x
B. y = 6/5x
C. y = 3/4x
D. y = 1/4x
Please show work
Answers
Answer:
C. y = 3/4x
Step-by-step explanation:
3 pages = 4 min
4.5 pages = 6 min
Paxton = Joelle×3
3/4 = 0.75 (Joelle reads 0.75 pages in 1 min)
Paxton = 0.75×3
C. y = 3/4x
for example if y=3 and x=4 than
3 = 3/4×4 3 = 0.75×4 (which equals to 3)
The figure shows two lines cut by a transversal. What value of x shows that the lines are parallel? Explain your answer.
Answers
Answer-
X=24
Step-by-step explanation-
2x+4 is an alternate angle to the angle opposite on the top left to 5x+8
Which means (2x+4)+(5x+8)=180
So add both together to get
7x+12= 180
Then subtract 12 from 180
7x=168
then divide 168 by 7 to get
X= 24
Two data sets and their mean absolute deviations are shown.
Study the plots of each data set, and then use the drop-down menus to answer the questions below.
Answers
Answer:
Step-by-step explanation:
Use internet to read a graph
Please answer I don't know what to do?
Answers
Answer:
its 80
Step-by-step explanation:
i studied this back in 6th grade
Isaiah randomly surveyed 20 of his classmates to find out how many cousins they have. The results of the survey are shown in the table. Survey Based on the results in the table, which statements about a randomly chosen classmate of Isaiah's are true? Select TWO correct answers.
Answers
Answer:
Couldn't tell you if I wanted to
Step-by-step explanation:
You didn't provide all of the necessary information. You're missing the graph and it seems like this is supposed to be a multiple choice question. Therefore, I cannot help you and neither can anyone else.
Question Evaluate 8x−y²−3 when x=−1/4 and y=3
Answers
Answer: -14
Step-by-step explanation:
Plug in the x and y value. 8(-1/4)-3^2-3
-2-9-3=-14
Answer:
-14
Step-by-step explanation:
what is the sum of 2^2 + 8
Answers
Hope this helps :)
2 to the power of 2 is 4.
8 + 4 is 12!
The length of ribbons found at a seamstress are listed.
5, 8, 10, 12, 12, 19
What is the appropriate measure of variability for the data shown, and what is its value?
A. The range is the best measure of variability and equals 14.
B. The IQR is the best measure of variability and equals 4.
C. The mean is the best measure of variability and equals 11.
D. The median is the best measure of variability and equals 11.
Answers
The most appropriate measure of variability for this data set is the IQR,
Option B is the correct answer.
What is the interquartile range?An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.
W can find the values of the upper and lower quartile and median from a box plot.
The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.
The formula used is Upper quartile - Lower quartile.
We have,
To determine the appropriate measure of variability for the given data, let's first calculate some descriptive statistics:
Mean: (5 + 8 + 10 + 12 + 12 + 19) / 6 = 11
Median: the middle value is 11, since there are an even number of values
Range: the difference between the maximum value (19) and the minimum value (5) is 14
Interquartile range (IQR): Q3 (the third quartile) is the median of the upper half of the data, which is (12, 12, 19), and Q1 (the first quartile) is the median of the lower half of the data, which is (5, 8, 10). Thus, Q3 = 12 and Q1 = 8, and the IQR is 12 - 8 = 4.
Now, we need to determine which measure of variability is most appropriate for this data set.
Option A suggests using the range, which is the difference between the maximum and minimum values.
The range is affected by outliers and extreme values, and in this data set, the value of 19 is significantly larger than the other values, which might make the range an unreliable measure of variability.
Option B suggests using the IQR, which is a measure of the spread of the middle 50% of the data.
The IQR is less affected by extreme values than the range and is often preferred when there are outliers or skewed distributions.
Option C suggests using the mean, which is a measure of central tendency, not variability.
Option D suggests using the median, which is also a measure of central tendency, not variability.
Therefore,
The most appropriate measure of variability for this data set is the IQR,
Learn more about the interquartile range here:
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helpp
Jonathan needed to get his computer fixed. He took it to the repair store. The technician at the store worked on the computer for 3 hours and charged him $141 for parts. The total was $336. Write and solve an equation which can be used to determine x, the cost of the labor per hour.
Answers
================================================
Work Shown:
x = cost of labor per hour
3x = cost of the 3 hours of labor
3x+141 = cost of labor plus parts = total cost
3x+141 = 336
3x = 336-141
3x = 195
x = 195/3
x = 65
The hourly wage is $65 per hour for labor.
------------
Check:
1 hour = 65 dollars in labor costs
3 hours = 3*65 = 195 dollars in labor costs
195+141 = 336 dollars total
The answer is confirmed.
336-141=195
Find the missing length.
Answers
Answer:10
Step-by-step explanation: w x l = a 155/15.5=10
Which number line represents 3/2?
Answers
Answer:
C
Step-by-step explanation:
each box count as one box, since there's 3 the answer is C
help please it would be appreciated
Answers
Answer:
C = 43.96
Step-by-step explanation:
3.14 ( pi) * d (diameter)
3.14 * 14 = 43.96
C = 43.96
what should I eat for lunch?
Answers
Answer: You should eat pizza for lunch
Step-by-step explanation:
Answer:pizza rolls
Step-by-step explanation:because that’s the only reasonable answer
This assignment is due soon! If someone can help me answer this it would be amazing. It is about Transversals of Parallel lines: name angle pairs.
Answers
Angle:LKN
Hope this helps:)
Which expression represents the following?
Two more than five times the difference of eleven and eight
1. 2+5(11-8)
2. (2+5)x(11-8) incorrect
3. 2+5(11+8)
4. (2+5)x11-8
Answers
Triangle XYZ has vertices X: (0,2) Y: (3,8), and Z: (6,2). Show that the triangle is isosceles by determining the length of each side.
Please help!!!!
Answers
Answer:
given below
Step-by-step explanation:
formula used= [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
XY= [tex]\sqrt{(3-0)^2+(8-2)^2}[/tex] = [tex]\sqrt{9+36} =\sqrt{45}[/tex] (here x1=0, x2=3, y1=2, y2=8)
YZ= [tex]\sqrt{(6-3)^2+(2-8)^2}[/tex] = [tex]\sqrt{9+36} = \sqrt{45}[/tex]
ZX= [tex]\sqrt{(6-0)^2+(2-2)^2}[/tex] = [tex]\sqrt{36+0} = \sqrt{36}[/tex]
as you can see side XY=YZ=45
so triangle XYZ is an isosceles triangle
hope this helps :)
In 2020, Forest A had an area of about 4000 acres and Forest B had an area of about 3600 acres. Researchers expect deforestation to cause the area of Forest A to decrease at a rate of 105 acres per decade and the area of Forest B to decrease at a rate of 30 acres per decade. In what year do they expect the areas of the forests to be the same?
Answers
Answer:
In about 2073, 3440 acres
Step-by-step explanation:
Determine the equation for each forest. Forest A: y=-105x+4000 Forest B: y=-30x+3600There are a number of ways to solve a system of equations, but for this we are first going to solve for x when -105x+4000=-30x+3600. In this case, x=5 1/3.Then, we are going to plug 5 1/3 in as x into one of our equations. To double check you have this right, you may do both. If our equation is y=-30(5 1/3)+3600, then y=3440.Add 5 1/3 decades or about 53 years to 2020.Therefore, they expect the area of the forests to be the same in about 2073. At this time, both will have an area of about 3440 acres.
In 2073 the areas of the forests to be the same.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Forest A had an area of about 4000 acres and Forest B had an area of about 3600 acres.
If Forest A to decrease at a rate of 105 acres per decade and the area of Forest B to decrease at a rate of 30 acres per decade.
let the number of decades occur be x
So, the equation is
4000 - 105x= 3600 - 30x
400 = 75 x
x= 5.33
x= 53.3 years
Hence, In 2073 the areas of the forests to be the same.
Learn more about equation here:
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Last question of today (hopefully)
Your local bank offers free checking for accounts with a balance of at least $500.suppose you have a balance of $516.46 and you write a check for $31.96 how much money do you need to deposit to avoid being charged a service fee. You must include in your answer the inequality and the amount you must add if you don’t add those two things your work will result in a 0 so please show all work have a good night everyone.
Answers
Answer: $15.50
Step-by-step explanation:
First, we need to find your balanced after writing the check:
$
516.46
−
$
31.96
=
$
484.50
Now to find out how much you need to deposit we need to determine how much under $500 your bank account balance is. We do this by subtracting your current balance from $500:
$
500.00
−
$
484.50
=
$
15.50
You need to deposit at least
$
15.50
to avoid being charged a service fee.
Answer:
Step-by-step explanation:
$516.46 - $31.96 = $484.50
$500.00−$484.50=$15.50
Answer: 15.50
Tracy McGrady is a former NBA basketball player, He played in 938 games in the NBA, scoring a total of 18,381 points. Complete the ratio to express the number of points he scored per game as a unit rate. Round the number of points to the nearest tenth.
answer : __ points in 1 game.
Answers
Answer:
19.6:1
Step-by-step explanation:
18,381 divided by 938 = 19.5959488273 (19.6)
19.6:1 (19.6 points in 1 game)
Answer: 19.6 points in 1 game
Step-by-step explanation:
Divide the total points by the number of games played.
18,381/938 = 19.5959488273 and if you round it to the nearest tenth, it is 19.6
The person that is the most kind gets a brainiest award
P.S: evaluate this function: f(x) = 3x^2+5x+6
Answers
Explanation:
This is unable to be evaluated due to the function not being stated. X has to be a number for us to be able to solve the equation and for It to be evaluated. 3x to the second power is gonna stay that since there isn't another power integer on 5x and 6 is staying like that since there is nothing for it to be added or subtracted to.
So the answer is simply:
3x^2+5x+6
Factor the expression completely
51xy − 34xy2
Answers
Eli ran 3/4 of a mile. Every 1/8 of a mile, he jumped over a hurdle. There was a final (extra) hurdle at the end of the 3/4 mile. How many hurdles did he jump over.
Answers
Answer:
7
Step-by-step explanation:
3/4 is equivalent to 6/8. He jumped once for every 1/8 mile and there was an extra hurdle at the end.
subtract Mixed Numbers For 100 Points!
Answers
Answer:
I think its b
Step-by-step explanation:
Can someone please help this assignment is due soon! It would be great for the answer!
Answers
Answer:
x = 10
Step-by-step explanation: (I'm not too sure if this is correct because this was last year's math unit for me)
9x+30=12x
-9x -9x
30=3x
30/3=10
x=10