Answer: To figure out the tip, you need to find 20% of $52.60.
0.2×52.6=10.52
Step-by-step explanation:
Answer:
After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount. How much should you leave for the waiter? How much will the total bill be, including tax and tip? Show work to support your answers.
Solutions
Solution: An exact answer
To figure out the tip, you need to find 20% of $52.60.
0.2×52.6=10.52
You should leave $10.52 for the waiter if you want to leave him exactly 20%.
To figure the tax, you need to find 8% of $52.60.
0.08×52.6=4.208
Next, add them up:
52.6+10.52+4.208=67.328
The total bill, including tax and tip, will be $67.33.
Solution: Estimating an answer
If you are not concerned whether you give the waiter exactly 20%, you can simply estimate the total bill. Tax and tip together are a little less than 30% and the bill is a little more than $50. Since 30% of 50 is 15, the tax and tip together are approximately $15. (Note that the exact calculation is $14.73.)
We can also estimate the total bill as $52 + $15 = $67, which is very close to the exact calculation of $67.33. This kind of estimating is a good way to check the answer to an exact calculation, and more like the way you would probably compute tax and a tip in a real restaurant.
Solution: Exact tax, approximate tip
In a real-world context, restaurant patrons generally estimate the tip, but pay the exact tax based on the calculation of their bill. Therefore, a third solution possibility is for students to estimate the tip portion of the calculations and to find the exact tax when calculating the total bill.
If you wish to estimate the tip, you can round $52.60 to $50. Twenty percent of $50 is $10. So, you would leave a $10 tip.
To figure tax, you need to find 8% of $52.60:
0.08×52.6=4.208.
Next, add the estimated tip, the calculated tax, and the pre-tax bill:
52.60+10+4.208=66.808.
The total bill will be $66.81.
Step-by-step explanation:
Reflections DO NOT preserve __________. This means the preimage (original) and the image(new) are NOT FACING the same way.
A. orientation
B. congruence
C. symmetry
D. equilateral
0.5(-10 + k) I did help asp
use distributive property
0.5 x -10 = -5
0.5 x k = 0.5k
0.5(-10 + k) = 0.5k -5
The snake population on an island is declining at a rate of 2.7% per year. The population was 6000 in the year 2009.
What is the best prediction of the snake population in the year 2014?
Enter your answer, rounded to the nearest integer, in the box.
The snake population will be....?
Answer:
5190
Step-by-step explanation:
2.7% of 6000 is 162.
There is a 5 year span between 2009 and 2014.
So just subtract 162 from 6000 5 times, or multiply 162 by 5, then subtract that from 6000.
Hope It Helps!
Find the slope of the line give these two points: (0,5) and (-7, -8) *
Answer:
m=13/7
Step-by-step explanation:
the equation for slope (m) is (y2-y1)/(x2-x1)
the given points are (0,5) and (-7,-8)
we can label them:
x1=0
y1=5
x2=-7
y2=-8
now substitute into the equation
m=(-8-5)/(-7-0)
m=-13/-7
m=13/7
the slope is 13/7
hope this helps!
You have to answer one of these questions
1.Is cereal soup? Why or why not?
2.What is the sexiest and least sex_y name?
3.What’s the best Wi-Fi name you’ve seen?
Answer:
2. kaiden (mine lol >:) ) and least would be micah
Given the graph below, which of the following best explains the range of the equation?
Question 2 options:
y 0, because the function comes close to zero but never touches it and goes infinitely in the positive direction.
y=0, because the function touches zero and goes infinitely in the positive direction.
Answer:
y 0, because the function comes close to zero but never touches it and goes infinitely in the positive direction.
After proving ADB is congruent to CDB, how can you prove that < ADB is congruent to < CDB ?
Answer:
c hopefully this helps you
Answer:
D. CPCTC
Step-by-step explanation:
If the wholes of both triangles are congruent, then their separate parts must be congruent as well. Therefore, Congruent Parts of Congruent Triangles are Congruent.
Kendra walks from a park located at (-4, -3) to her house at (-4, 5). How far did she walk?
There are 4 quarters in 1 dollar. The total number of dollars is a function of the number of quarters. Does this situation represent a linear or nonlinear function?
A car manufacturer determines that its profit, P, in thousands of pesos, can be modeled by the function P(x)=0.00125 x + x -3, where x represents the number of cars sold. What is the profit at x=150?
Answer:
632959.50Step-by-step explanation:
Note. Function is correctedGiven function:
P(x) = 0.00125x^4 + x - 3Find the value of P(x) at x = 150:
P(150) = 0.00125*150^4 + 150 - 3 = 632959.50Matt is playing a game. He gains 7 points, loses 10 points, and then loses 8 points. What is his final score? *
Answer:
-11
Step-by-step explanation:
7-10-8 = -11
Answer:
-11
Step-by-step explanation:
7 - 10 = - 3
-3 + 8 = -11
hope this helps
At a campground, kayak rental company A charges a fixed amount of $10 plus $8 per hour for renting a one-person kayak. Company B charges a fixed amount of $6 plus $10 per hour for a one-person kayak.
Answer:
2hours
Step-by-step explanation:
Given data
Company A
charges a fixed amount of $10 plus $8 per hour
let the number of hours be x
and the total be y
y= 10+8x----------------1
Company B
charges a fixed amount of $6 plus $10 per hour for a one-person kayak.
let the number of hours be x
and the total be y
y= 6+10x----------------2
Equate 1 and 2 above
10+8x= 6+10x
collcet like terms
10-6= 10x-8x
4= 2x
x= 2hours
Hence after 2 hours the charges will be the same
EASY PROBLEM AND WILL GIVE BRAINLIEST
Jesse owns a sporting goods store that sells skis and snowboards. The store earns a profit of $52 for each ski sold and a profit of $64 for each snowboard sold. If Jesse's store sells a total of 83 pairs of skis and snowboards and earns a profit of $4892 in November, how many pairs of skis and snowboards did the store sell that month
Answer:
9
Step-by-step explanation:
I multiply 52 and 83 and get 4316. 4892 - 4316 is 576. 576 divided by 64 is 9!
Answer: they sold 35 skis and 48 snowboard
Step-by-step explanation:
52 x 35 = 1820
64 x 48 = 3072
1820 + 3072 = 4892
Jojo spends t minutes practicing the guitar. He spends 20 minutes less than twice that amount of time doing homework. Which expression shows the number of minutes Dion spends doing homework?
Answer: 2t - 20
Step-by-step explanation:
Jojo spends t minutes doing homework.
He then spends 20 minutes less than twice that amount of time doing homework.
For homework therefore, let us breakdown the time spent:
Spends twice the amount of time = 2tSpends 20 minutes less than twice = 2t - 20When doing homework, Jojo therefore spends:
= 2t - 20
classify the following triangle
Answer:
c and f
Step-by-step explanation:
all sides are different lengths and it has a right angle
An airplane flies at an altitude of 14,690 feet while a submarine is submerged at a depth of 521 feet below the surface of the ocean. What is the difference between these two elevations?
Answer:
15,211 feet
Step-by-step explanation:
According to the question, given data are as follows:
Airplane altitude = 14,690 feet above
Submarine depth = 521 feet below
So, let the difference between these two elevation be d,
So, we can calculate difference by using following formula:
Difference = Airplane altitude + Submarine depth
By putting the value, we get
Difference = 14,690 + 521
= 15,211 feet
There are 1,039 souvenir paperweights that need to be packed in boxes. Each box will hold 12 paperweights. How many boxes will be needed?
what is the equation of the line that passes through point(-5,-3) and has a slope of -1
Answer:
y = -1x -2
Step-by-step explanation:
Just doing it in my head so im only like 90% sure edit: okay just checked my work and ya its y= -1x -2 :)
In this problem, we will be using the point-slope formula.
y - y₁ = m(x - x₁)
The point we are given, (-5, -3), represents (x₁, y₁) in the formula
and our slope which in this case is -1 represents our m.
Now let's plug all our information into the point-slope formula.
So we have y + 3 = -1(x + 5).
Remember that minus a negative means plus a positive
which is why I changed y - (-3) to y + 3 and the same for the x + 5.
So we have y + 3 = -1(x + 5).
Now distribute the -1 to get y + 3 = -x - 5
Now move the 3 to the right side by subtracting 3 to get y = -x - 8.
Now add x to both sides to get x + y = -8.
So the equation of this line in standard form is x + y = -8.
Helpppp plsssssssss
Answer:
x intercept is (3,0)
y intercept is (0,-10)
provide the parallel and perpendicular slopes to the slope m=-1/2
Answer:
Step-by-step explanation:
Help me with this pls
Answer:
A. 6x+12x+90=180
Step-by-step explanation:
to find x they must all add up to 180 degrees
A pet store decides on no longer selling Smelly Cat litter that costs s dollars per bag. In order to quickly sell the rest of its supply, it marks down the bags by 59%.
Answer:
Expanded Expression: 1s- 0.59s
Simplified Expression : 0.41 s
Discounted Price= $ 2.46
Step-by-step explanation:
Directions: Write two markup or markdown expressions for each problem below. Then substitute the given value for the variable and evaluate the expression.
The Discounted Price is found out after deducting the discount from the original price.
Let 100 be the sale price then the discount is 59 and the discounted price would be 100- 59= $41
Sale Price = $ s
Discount = 59% of $ s
Discounted Price = s- (100-59)/100*( $s) = 1s- 0.59s = 0.41 s
Expanded Expression Simplified Expression
1s- 0.59s 0.41 s
Find the sale price of the Smelly Cat litter, when the regular price was $6 per bag.
Sale Price = $ 6
Discount = 59% of $ 6
Discount= (59/100) $6= $ 3.54
Discounted Price= Sale Price - Discount= $6 - $ 3.54= $ 2.46
Find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)
Answer:
The coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are [tex]\mathbf{(13,\frac{-9}{2})}[/tex]
Step-by-step explanation:
We need to find the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1)
The midpoint of line segment can be found using formula:
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]
We have [tex]x_1=14, y_1=-8, x_2=12, y_2=-1[/tex]
Putting values and finding midpoint
[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\Midpoint=(\frac{14+12}{2},\frac{-8-1}{2})\\Midpoint=(\frac{26}{2},\frac{-9}{2})\\Midpoint=(13,\frac{-9}{2})[/tex]
So, the coordinates of the midpoint of a line segment with the given endpoints (14,-8), (12,-1) are [tex]\mathbf{(13,\frac{-9}{2})}[/tex]
Simplify: (x + 7)(x-4)
A. 2r +3
B. 12-28
C. x2-3x - 28
D. x2 + 3x - 28
Answer:
(x + 7)(x - 4) = x2 - 4x + 7x - 28 = x2 + 3x - 28
Divide 13 apples among 4 friends
Answer:
Each friend gets 3 1/4 apple
Step-by-step explanation:
13 divided by 4 simplified is 12 divided by 4 is 3 and 1 divided by 4 is .25 or 1/4
Answer:
3.25
Step-by-step explanation:
Please help me with this homework please from 1 to 4 and the check
Answer:
1. x=1
2. y=5
3. m=-6
4. z=3
Step-by-step explanation:
Answer:
I don't know because i am doing math along the way to solve answer.
Step-by-step explanation:
4x+8=2x+10
4x-2x+8=10
2x=10-8
2x=2
x=1 ANSWER FOR 1
2.)
Same thing as 1.
9y-3=6y+12
3y=15
Divide both by 3 and you get
y=5 Answer For 2
________________________
3.)
8m+4=4m-20
4m=-24
m=-6 Answer For 3
_________________________
4.)
11z-14=5z+4
6z=18
z=3 Answer for 4
You have to find the common difference, the term named in the problem, and the explicit formula.
Question 1
Given the sequence
31, 61, 91, 121,...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
61 - 31 = 30, 91 - 61 = 30, 121 - 91 = 30
The difference between all the adjacent terms is the same and equal to
d = 30
As the first term of the sequence is:
a₁ = 31
now substituting a₁ = 31 and d = 30 in the nth term of the sequence
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=30\left(n-1\right)+31[/tex]
[tex]a_n=30n+1[/tex]
Now, putting n = 36 to determine the 36th term
[tex]a_n=30n+1[/tex]
[tex]a_{36}=30\left(36\right)+1[/tex]
[tex]a_{36}=1080+1[/tex]
[tex]a_{36}=1081[/tex]
Thus, the 36th term is:
[tex]a_{36}=1081[/tex]
Question 2
Given the sequence
-34, -44, -54, -64, ...
An arithmetic sequence has a constant difference 'd' and is defined by
[tex]a_n=a_1+\left(n-1\right)d[/tex]
computing the differences of all the adjacent terms
[tex]-44-\left(-34\right)=-10,\:\quad \:-54-\left(-44\right)=-10,\:\quad \:-64-\left(-54\right)=-10[/tex]
The difference between all the adjacent terms is the same and equal to
[tex]d=-10[/tex]
As the first term of the sequence is:
a₁ = -34
now substituting a₁ = -34 and d = -10 in the nth term of the sequence
[tex]a_n=a_1+\left(n-1\right)d[/tex]
[tex]a_n=-10\left(n-1\right)-34[/tex]
[tex]a_n=-10n-24[/tex]
Now, putting n = 26 to determine the 36th term
[tex]a_n=-10n-24[/tex]
[tex]a_{26}=-10\left(26\right)-24[/tex]
[tex]a_{26}=-260-24[/tex]
[tex]a_{26}=-284[/tex]
Thus, the 26th term is:
[tex]a_{26}=-284[/tex]
The expression 5(7+2)=5(7)+5(2) is an example of
Answer:45
Step-by-step explanation:5(7)+5(2)=35+10=45.This is an example of expansion or distributive expression
Answer: 45 = 45
god bless have a nice day love u
Step-by-step explanation:
5(7+2)= 45
5(7)+5(2)= 45
so its 45
but i put 45 = 45 same thing i think
Plssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss Help!!!
What kind of shift is represented?
[tex]f(x)=2^{x-1}[/tex]
a.) vertical shift up 1 unit
b.) vertical shift down 1 unit
c.) horizontal shift left 1 unit
d.) horizontal shift right 1 unit
e.) no shift: vertical stretch by 3
Answer:
b
Step-by-step explanation:
because the 1 is negative
WILL GIVE BRAINLIEST
Answer:
c
Step-by-step explanation:
