Given : Sally decides to leave a 12% tip after eating dinner at Waffle house .If the bill is $12.89 ,how much should she pay? Round to the nearest cent.
Answers
She should pay the following:
\(12.89+12.89(0.12)\approx14.44\)So, she should pay approximately $14.44
Related Questions
Use the drawing tools to form the correct answers on the provided dot plot.
Create a dot plot of the data on the average cruising speeds of Red Eagle's planes.
0.78
0.85
0.85
0.80
0.84
0.83
0.79
0.83
0.81
0.84
0.82
0.82
0.86
0.83
0.84
0.83
0.85
0.85
0.81
0.80
0.82
0.84
0.83
0.82
0.87
0.85
0.84
0.81
0.82
0.86
Drawing Tools
Delete Undo
Reset
Select
• Point
0.78
0.80
0.86
0.88
0.82 0.84
Average Cruising Speed
Answers
Answer:
hold on
Step-by-step explanation:
do you have options?
So on solving the provided question we can say we can plotting data by x = 0.83; y = 0.79; z = 0.83
Here, we have,
The most typical approach to display data using a chart is a graph that shows the relationship between two additional variables.
Diagrams created by hand or on a computer are also acceptable.
Move 2 units to the right after starting at the origin before going 3 units up.
The coordinates for the points 2, 3, should be shown on the coordinate plane. Clearly state your points.
The pink dot with the letter P thus stands for 2.3.
Before creating a line chart, you need first generate a number line for each value in your data collection.
Put an X (or dot) over each value of the data on the number line after that. For each instance when a value appears in a record, place an X over the corresponding number.
x = 0.83
y = 0.79
z = 0.83
xa = 0.85
ya = 0.85
za = 0.85
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Need help with my geometry homework grade due to
Answers
The surface area of the base ball to the nearest whole number is 26 in²
What is surface area of a sphere?A sphere is defined as the set of all points in three-dimensional Euclidean space that are located at a distance.
The area occupied by a three-dimensional object by its outer surface is called the surface area.
The surface area of a sphere is expressed as;
SA = 4πr²
where r is the radius and it's calculated as;
C = 2πr
9 = 2πr
r = 4.5/π =
SA = 4 π × (4.5/π)²
SA = 81/π
SA = 26 in²( nearest whole number)
Therefore the surface area of the sphere is 26 in²
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Help!!!!!!?!!!!!!!!!!??????????
Answers
Step-by-step explanation:
A value is excluded when it makes the rational expression undefined. (such as making the denominator 0, etc.)
For example when x = 8, (x - 8) at the denominator will become 0 and make it undefined.
The correct options are the 3rd and 4th ones.
What is the premium for $75,000 for a 33 year old female, for a 20-year policy?
A) $286.50
B) $587.25
C) $594.75
D) $1415.25
Answers
The answer is A) $286.50
75000/1000 = 75
75 x $3.83 = $286.50
The annual premium for the lifetime insurance based on the stated conditions is $594.75
What is the annual premium?The annual premium represents the periodic payment that the insured is expected to pay to the insurance company for an insurance policy contract.
Using the table which gives the annual premium per $1000; the premium paid annually by the 33-year-old male is $594.75
The total annual premium = $75000
Using the data in the table :
Annual premium per $1000 of coverage for a 33-year-old male with a 20 - years life insurance policy = $7.93
The annual premium for $75,000 ;
Premium per $1000 × ($75000/$1000)
Annual premium = $7.93 × ($75,000/1000)
Annual premium = $7.93 × 75 = $594.75
Therefore, the annual premium for the lifetime insurance based on the stated conditions is $594.75
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what is the measurement?
Answers
this question involves trig
sinx=p/h -----> some people have
cosx=b/h ----> curly brown hair
tanx=p/b -----> through proper brushing
we have p and h in this question so we can use the first formula
\(sinx=\frac{23}{28} \\x=sinx^{-1} \frac{23}{28} \\x=55.2\)
Answer:
55.2
Step-by-step explanation:
sinx= 23/28
multiple both sides by inverse sin
x= sin^-1(23/28)
x= 55.2
I put a picture please help
Describe the transformation of LM to L'M'.
O A. LM is translated 5 units left and 2 units down to L'M':
O B. LM is translated 5 units right and 2 units up to L'M
O C. LM is reflected over the x-axis to L'M'.
O'D. LM is reflected over the y-axis to L'M
SUBMIT
Answers
The option that Describe the transformation of LM to L'M'. is: LM is translated 5 units left and 2 units down to L'M'. Answer: option A.
What is the transformation about?To determine the transformation from LM to L'M', we need to identify how much LM has been translated horizontally and vertically. From the graph, we can see that L has been moved 5 units to the left to reach L', and M has been moved 2 units down to reach M'.
Looking at the graph, we can see that L is moving leftward and downward, while M is moving leftward. This indicates a translation.
Furthermore, the distance that L and M move is 5 units horizontally and 2 units vertically. This means that LM is translated 5 units left and 2 units down to L'M'.
Therefore, the correct answer is OA. LM is translated 5 units left and 2 units down to L'M'.
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What is the length of BC?
Answers
Answer: BC = 24
Step-by-step explanation:
Given:
AB = x+33
AC = 3x - 15
BC = x
<B = <C
Solution:
Because <B = <C, you can say the corresponding sides AB and AC are equal as well
AB = AC
x + 33 = 3x -15
48 = 2x
x = 24
Since x = BC
BC = x
BC = 24
Answer the question below:
A rocket is launched from atop a 76-foot cliff with an initial velocity of 113 ft/s. The height of the rocket
above the ground at time is given by h = -161 +1131+ 76. When will the rocket hit the ground after it is
launched? Round to the nearest tenth of a second.
0.6 seconds
7.7 seconds
3.5 seconds
7.1 seconds
Answers
Answer:
t=7.7 s
Step-by-step explanation:
h=ut+1/2gt²
-76=113t+1/2(-32)t²
-76=113t-16t²
16t²-113t-76=0
\(t=\frac{113\pm\sqrt{(-113)^2-4 \times 16 \times(-76)} }{2 \times 16} \\t=\frac{113 \pm\sqrt{12769+4864} }{32} \\t=\frac{113 \pm\sqrt{17633} }{32} \\t=\frac{113+\sqrt{17633} }{32} \approx 7.68~s \approx7.7 s\\or\\t=\frac{113-\sqrt{17633} }{32} \approx~-0.62 ~s \approx-0.6~s\)
negative~sign~rejected.
10÷2[500÷5{6 + (21+7-24)}}
can any one ????
Answers
Answer:
5,000
Step-by-step explanation:
=10÷2[500÷5{6+4}
=10÷2[500÷5×10]
=10÷2[100×10]
=10÷2×1000
=5×1000
=5000
Over a period of one year, a retailer sells widgets at 11
different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated.
Answers
The regression equation is: y = -0.0068824x + 36.8881
So, the correct option is:
D) None of these.
To compute the regression equation based on the given data, we can use the formulas for slope (b1) and y-intercept (bo):
b1 = (NΣXY - ΣXΣY) / \((N\sum X^2 - (\sum X)^2)\)
bo = (ΣY - b1ΣX) / N
Where:
N = Number of data points (in this case, 11)
ΣX = Sum of all X values (prices)
ΣY = Sum of all Y values (average number of pounds sold per day)
ΣXY = Sum of the product of X and Y values
\(\sum X^2\) = Sum of the squares of X values
Using the provided data:
Ex = 210
Xy = 450
Zcy = 10387
Zz = 7275
Xy = 42471
Let's calculate the required values:
N = 11
ΣX = Ex + Zcy + Zz = 210 + 10387 + 7275 = 17872
ΣY = Xy = 450
ΣXY = Xy = 450
\(\sum X^2 = (Ex)^2 + (Zcy)^2 + (Zz)^2 = (210)^2 + (10387)^2 + (7275)^2 = 239208144\)
Now, substitute these values into the formulas to find b1 and bo:
\(b1 = (11 \times450 - 17872 \times 450) / (11 \times239208144 - (17872)^2)\)
= -14112250 / 2050445128
≈ -0.0068824
bo = (450 - (-0.0068824 \(\times\) 17872)) / 11
= (450 + 122.7790368) / 11
≈ 36.8881
Therefore, the regression equation is:
y = -0.0068824x + 36.8881
So, the correct option is:
D) None of these.
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The complete question may be like:
Over a period of one year, retailer sells widgets at 11 different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated. Ex = 210, Xy = 450, Zcy = 10387, Zz? 7275 Xy? 42471 Compute the regression equation , SELEC A) y 0.20261x + 0.549951 B) y = 0.549951x + 30.410021 C) y = 0.20261. + 30.410021 D) none of these =b1x + bo.
Simplify the following expression: -2/10(1 - 2x + 2 )
Answers
Answer:
2/10-4/10x
Step-by-step explanation:
Answer: =
2/5 x + -3/5
Step-by-step explanation:
Answer asap please and thank you
Answers
Answer:
207.345
Step-by-step explanation:
SA of cylinder = 2π(r^2) + 2πr(h)
so plugging in the numbers:
SA = 2π(3^2) + 2π(3)(8)
SA = 18π + 48π = 66π
66π ≈ 207.345
4. Sketch the graph of F(x) = 1 +x/x²-1
Answers
The graph of the function is attached below.
What is the graph of a function?The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.
Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.
We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.
In the given problem;
The graph of the function f(x) = 1 + x / x² - 1 is attached below;
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labor-hours and its standard cost card per unit is as follows:
Direct material: $ pounds at $11.00 per pound
Direct labor: 3 hours at $12 per hour
Variable overhead: 3 hours at $7 per hour
Total standard variable cost per unit
The company also established the following cost formulas for its selling expenses:
sales salaries and commissions
shipping expenses
Fixed Cost per
Month
$ 280,000
$ 260,000
$ 55.00
36.00
$112.00
Variable
Cost per
Unit Sold
$ 20.00
$ 11.00
The planning budget for March was based on producing and selling 21,000 units. However, during March the company
actually produced and sold 26.600 units and incurred the following costs:
a Purchased 154.000 pounds of raw materials at a cost of $9.50 per pound. All of this material was used in production.
b. Direct laborers worked 63,000 hours at a rate of $13.00 per hour
e Total variable manufacturing overhead for the month was $510,930
d Total advertising sales salaries and commissions, and shipping expenses were $286,000, $495,000, and $195,000,
respectively
6 What direct labor cost would be included in the company's flexible budget for March?
Answers
The direct labor cost included in the Preble Company's flexible budget for March is $819,000.
How to compute Preble Company's direct labor cost?To find the direct labor cost included in the company's flexible budget for March, we shall estimate the actual direct labor cost incurred during the period.
Given:
Actual production and sales =n26,600 units
Actual direct labor rate = $13.00 per hour
Actual direct labor hours worked = 63,000 hours
Direct labor cost = Actual direct labor rate × Actual direct labor hours worked
Direct labor cost = $13.00/hour × 63,000 hours
Direct labor cost = $819,000
Hence, the direct labor cost included in the company's flexible budget for March would be $819,000.
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Lief starts saving for his future and deposits $425 each month at 5.7% annual interest, compounded monthly, for 25 years. At the end of 25 years, he has an account balance of $281,292.21. How much of this did Lief contribute and how much of this is interest?
Answers
Using proportions, it is found that the amounts are given as follows:
Amount deposited: $127,500.Amount of interest: $153,792.21.What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The amount deposited is of $425 each month for 25 years, that is, $425 in 25 x 12 times, that is:
D = 425 x 25 x 12 = $127,500.
The amount of interest is the total amount subtracted by the amount deposited, hence:
I = 281,292.21 - 127,500 = $153,792.21.
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for his
Noah decides to change the design of the tabletop so that it is a rectangle with the same
area as his original tabletop design. How can Noah change his design to a rectangle but
keep the same area?
Choose one option from each drop-down menu to answer the question.
To change his design, Noah can make one vertical cut through the parallelogram to form
Choose...
Then, to make a rectangle, he can match up
Choose..
Noah's original tabletop design
has the same area as a rectangle with a base of Choose...ft and a height of
Choose... v ft.
Answers
Answer:
two triangles, the top of one figure with the bottom of the other figure, 8 and 4
Step-by-step explanation:
I am not sure if it's right but I hope it is!
0.28÷0.007please answer me
Answers
Answer:
40
Step-by-step explanation:
0.28÷0.007
=280÷7
=40
_________
\( \: \)
0,28 ÷ 0,007 = ...
\( = \frac{28}{100} \div \frac{7}{1.000} \)
\( = \frac{28}{100} \times \frac{1.000}{7} \)
\( = \frac{28.0 \cancel{00}}{7 \cancel{00}} \)
\( = \frac{280}{7} \)
\( \longmapsto \boxed{ \bold{ \red{40}}}\)
You loan your brother $300 and charge him 2% simple annual interest. He promises to
repay you one year later. How much willyour brother have to pay you?
in 1 year
Also plz show the steps
Answers
Answer:
$306
Step-by-step explanation:
In one year, the 2% annual interest would have been applied once. Therefore, your brother would pay you 1.02 * 300 which is 306.
Hope this helps :)
Answer: 306 dollars
===========================================
Work Shown:
i = P*r*t ..... simple interest formula
i = 300*0.02*1
i = 6
Your brother pays $6 in simple interest on top of the $300 in principal loaned to him. The total amount he pays back is 300+6 = 306 dollars.
----------
Another way to calculate the answer is to do these steps
A = P*(1+r*t)
A = 300*(1+0.02*1)
A = 300*(1.02)
A = 306
The 1.02 represents a 2% increase when going from 300 to 306.
Washington, DC is 389 miles from Statesville, NC. If you wanted to drive there,
how long would it take you driving on interstates with an average of 65 mph?
O 5.98 hours
07.07 hours
O 5.56 hours
07.78 hours
O 6.48 hours
Suppose your car gets 29 miles per gallon on the interstate and gas costs
$3.89/gallon. How much will it cost you to drive to Washington, DC?
O $0.29
O $43,883.09
$52.18
O $3.45
O $2,900.00
Answers
It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.
To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.
Time = Distance / Speed
Time = 389 miles / 65 mph
Time ≈ 5.98 hours
Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.
To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.
Number of gallons = Distance / Mileage
Number of gallons = 389 miles / 29 miles per gallon
Number of gallons ≈ 13.41 gallons
The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.
Cost = Number of gallons * Cost per gallon
Cost ≈ 13.41 gallons * $3.89/gallon
Cost ≈ $52.18
Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.
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A relish is prepared by the following recipe:
pickles
onions
1000 pounds
500 pounds
900 pounds
75 pounds
5 pounds.
sugar
salt brine
spices
The onions are 85% water, the pickles are 92% water and 1.1% salt, and the salt brine is 88%
water. During processing, 18% of the water originally in the mixture is evaporated out.
What is the weight of relish prepared.
Answers
The weight of relish prepared after the evaporation of water is 2,226.02 pounds
Percentagepickles = 1000 poundsonions = 500 poundssugar = 900 poundssalt brine = 75 poundsspices = 5 poundsTotal = 1000 + 500 + 900 + 75 + 5
= 2,480 pounds
pickles are 92% water
= 92/100 × 1000
= 920 pounds
onions are 85% water
= 85/100 × 500
= 425 pounds
salt brine is 88% water
= 88/100 × 75 pounds
= 66 pounds
Total water in the mixture = 920 pounds + 425 pounds + 66 pounds
= 1,411 pounds
Percentage of water evaporated = 18%Amount of water evaporated = 18/100 × 1,411 pounds
= 253.98 pounds
Weight of the relish prepared = 2,480 pounds - 253.98 pounds
= 2,226.02 pounds
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Convert the rectangular coordinates (5,−5√3) to polar form. Let r>0 and 0≤θ<2π.
Enter your answer by filling in the boxes. Enter coordinates as simplifed fractions or radicals in simplest form.
( , )
Answers
Answer:
(10, 5π/3)
Step-by-step explanation:
To convert rectangular coordinates (5, -5√3) to polar form, we can use the following formulas:
r = √(x^2 + y^2)
θ = arctan(y/x)
Substituting the given values, we get:
r = √(5^2 + (-5√3)^2) = √(25 + 75) = √100 = 10
θ = arctan((-5√3)/5) = arctan(-√3) = -π/3
Note that the value of θ is in the fourth quadrant, which corresponds to a negative angle. However, we need to express the angle θ in the range 0 ≤ θ < 2π. To do this, we can add 2π to the angle if it is negative:
θ = -π/3 + 2π = (5π/3)
Therefore, the rectangular coordinates (5, -5√3) in polar form are (10, 5π/3).
3 of 6
As an estimation we are told £3 is €4.
Convert £85.40 to euros.
Give your answer rounded to 2 DP
Answers
Answer:
€113.67
Step-by-step explanation:
£3 = €4
£85.40 is €x
Cross multiply.
\(4 \times 85.4=3x\)
\(3x=341.6\)
\(\frac{3x}{3}=\frac{341.6}{3}\)
\(x=113.86666...\)
help. use the figure shown to the right to find the value of x
Answers
Answer:
\(\begin{aligned}x &= 16\sqrt3 \\ &\approx 27.7\end{aligned}\)
Step-by-step explanation:
We can see that the longer leg (a) of a right triangle is half of the circle's radius. Since we are given the other two sides of the triangle (shorter leg and hypotenuse), we can solve for the length of the longer leg using the Pythagorean Theorem:
\(a^2 + b^2 = c^2\)
↓ plugging in the given values
\(a^2 + 2^2 = 14^2\)
↓ subtracting 2² from both sides
\(a^2 = 14^2 - 2^2\)
\(a^2 = 196 - 4\)
\(a^2 = 192\)
↓ taking the square root of both sides
\(a = \sqrt{192\)
↓ simplifying the square root
\(a = \sqrt{2^6 \cdot 3\)
\(a = 2^{\, 6 / 2} \cdot \sqrt3\)
\(a = 2^3\sqrt3\)
\(a = 8\sqrt3\)
Now, we can solve for the radius (x) using the fact that the longer leg of the triangle is half of it.
\(a = \dfrac{1}{2}x\)
↓ plugging in the a-value we solved for
\(8\sqrt3 = \dfrac{1}2x\)
↓ multiplying both sides by 2
\(\boxed{x = 16\sqrt3}\)
You buy 2 shirts and 3 pairs of pants for $50. Your friend buys 3 shirts and 1 pair of pants for $40. What is the cost of
each shirt? of each pair of pants?
Answers
Shirts = 10$ Pants = 10$
Step-by-step explanation:
50 / 5 = 10$
3/1 = 10$
In this system of simultaneous equations, the cost of each shirt (x) equals $5 and the cost of each pair of pants (y) is $25.
Explanation:This is a system of simultaneous equation problems in Mathematics. Let's denote the cost of one shirt as x and one pair of pants as y. Based on the problem information, you have these two equations:
1) 2x + 3y = 50
2) 3x + y = 40
To solve for x, you can multiply the second equation by three and subtract the first equation from it:
3*(3x + y) - (2x + 3y) = 50
After simplifying, you find that x (cost of each shirt) equals 5.
In order to find y (cost of each pair of pants), you can now substitute x = 5 into the second original equation: 3*5 + y = 40, which gives you y = $25, the cost of each pair of pants.
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Calculate the area of a circle with a radius of 5 meters
Answers
Ans: pi (5)^2 = 78.5( cor. to 3 sig. fig)/ 25 pi
The box plots display data collected when two teachers asked their classes how many pencils they lose in a school year.
A box plot uses a number line from 5 to 47 with tick marks every one unit. The box extends from 8 to 14 on the number line. A line in the box is at 11. The lines outside the box end at 7 and 45. The graph is titled Mr. Johnson's Class, and the line is labeled Number Of Pencils.
A box plot uses a number line from 0 to 51 with tick marks every one unit. The box extends from 12 to 21 on the number line. A line in the box is at 14.5. The lines outside the box end at 0 and 50. The graph is titled Mr. Simpson's Class, and the line is labeled Number Of Pencils.
Which class lost the most pencils overall based on the data displayed?
Mr. Simpson's class; it has a larger median value 14.5 pencils
Mr. Johnson's class; it has a larger median of 11 pencils
Mr. Simpson's class; it has a narrow spread in the data
Mr. Johnson's class; it has a wide spread in the data
Answers
Answer:
A) Mr. Simpson's class; it has a larger median value 14.5 pencils.
Step-by-step explanation:
A box plot is a visual display of the five-number summary:
Minimum value = The value at the end of the left whisker.Lower quartile (Q₁) = The left side of the box.Median (Q₂) = The vertical line inside the box.Upper quartile (Q₃) = The right side of the boxMaximum = The value at the end of the right whisker.From inspection of the box plots (attached), the measures of central tendency (median) and dispersion (range and IQR) are:
Mr Johnson's class:
Median = 11IQR = Q₃ - Q₁ = 14 - 8 = 6Range = max - min = 45 - 7 = 38Mr Simpson's class:
Median = 14.5IQR = Q₃ - Q₁ = 21 - 12 = 9Range = max - min = 50 - 0 = 50In a box plot, the median is a measure of central tendency and tells us the location of the middle value in the dataset. It divides the data into two equal halves, with 50% of the values falling below the median and 50% above it.
The median number of pencils lost in Mr Simpson's class is greater than the median number of pencils lost in Mr Johnson's class. Therefore, Mr. Simpson's class has a larger median value.
The spread of data in a dataset can be measured using both the range and the interquartile range (IQR).
As Mr Simpson's class has a greater IQR and range than Mr Johnson's class, the data in Mr Simpson's class is more spread out than in Mr Johnson's class.
In summary, as Mr Simpson's class has a larger median 14.5 and a wider spread of data, then Mr Simpson's class lost the most pencils overall.
The graph shows two straight lines. The equation of line A is y = 2 - x Work out the equation of line B.
Answers
Answer:
Step-by-step explanation:
The equation of a line can be easily found from the graph. First, find two points on the line that intersect points on the graph, then plot the changes in the two axis in this manner (change in y)/(change in x), or rise/run. Thus, the slope of this line is 5/3. Then, the b in y = mx + b is simply when the line intersects the y-axis, in this case -5. Thus, the equation of the line is
y = -5/3x - 5
Hope it helps <3
(If it does please mark brainliest ._. :) )
If two lines are intersecting and one equation is y=2-x then the other equation will be y=5/3x-5.
What is an equation?An equation is a relationship between two variables. In this we have to use equal to sign.
How to form an equation?From the figure we can see that line b and x axes intersect at (3,0) and the y axis intersect at (0,-5).It will show the points of line b that is (3,0) and (0,-5).
We have to just put in the standard form to get the values of a and b
y=ax+b
-5=a*0+b
b=-5
0=3a+b
put value of b in this we get
a=5/3
Hence the required equation will look like y=5/3x-5.
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the radius of the base is 4 inches and its height is 6 inches what is the surface area of the cylinder in terms of pi
Answers
Step by step
To find lateral_area = (2 * π * r) * h
Since it’s in term of pi,
(2 x radius x height) pi
2 x 4 x 6 = 48pi
base_area = 2 * π * r²
Since it’s in terms of pi
(2 x r^2)
(2 x 4^2)
= 32pi
Total surface area in terms of pi = 32+48
= 80pi
What is the value of u?
Answers
Answer:
66-26 = 40
Step-by-step explanation:
u = 40 degrees
Evaluate the expression 10y when y=2.5 .
Answers
Answer:
25
Step-by-step explanation:
Substitute y = 2.5 into the expression
10y = 10 × 2.5 = 25