Sales Tax in the state of Mathland is 8.5%. After buying school supplies, your total was $81.42, before tax. How much do you end up paying including tax? (SHOW WORK.)

A: $6.92
B: $74.50
C: $88.34

Answers

Answer 1

Answer:

A

Step-by-step explanation:

8.5% of 81.42

8.5                 81.42           692.07

-------    X       ---------- =     -------------

100                     1                 100

divide 692.07/100 which gives you 6.9207

if you round it to the nearest hundredth you get 6.92


Related Questions

=

What is the relationship between two concentric circles with congruent radii?

Answers

Answer: Search Results

Featured snippet from the web

Congruent circles have congruent radii the plural of radius. Concentric circles have the same center. A central angle has a vertex on the center and endpoints on the circle. given point

What is the positive negative square roots of 64?

Answers

The answer explains the positive and negative square roots of 64.

When dealing with the square roots of a number like 64, remember that the square root of 64 is 8, both positive and negative. This is because (-8) x (-8) equals 64 just like (8) x (8) equals 64, following the rule that multiplying two negative numbers results in a positive number.

If you flip a coin and roll a six sided die what is the probability that you flip a heads and roll a five?

Answers

Answer:

you have a 50-50% of landing heads and a 5 out 6 % chance of rolling a 5

Step-by-step explanation:

Answer: 1/12

Step-by-step explanation:

PLZ HELP! WORTH EXTRA POINTS!! PYTHAGREOM THEROEM WITH 3D SHAPES

Answers

Answer:

16 units

Step-by-step explanation:

Using the Pythagorean theorem, we can find 1/2 the length of b.  We will call it x

15^2 + (x)^2 = 17^2

225 + x^2= 289

Subtract 225 from each side

x^2 = 289-225

x^2 =64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x =8

This is one half the length of b

b= 2*8

b = 16

Answer:

16

Step-by-step explanation:

17² = 15² + (b/2)²

64 = (b/2)²

b/2 = 8

b = 16

3x-4y=1 and x=2y+1 using substitution

Answers

Answer:

x =-1

y =-1

Step-by-step explanation:

to solve this system of equation, using substiution method

3x-4y=1 ........................ equation 1

x=2y+1 ............................  equation 2

subbstitute for x into equation 1

3x-4y=1 ........................ equation 1

3(2y + 1) - 4y = 1

6y + 3 -4y = 1

2y + 3 = 1

collect the like terms

2y = 1- 3

2y= -2

divide both sides by  the coefficient of y which is y

2y/2 = -2/2

y = -1

put the value of y =-1 into equation 2

x=2y+1 ............................  equation 2

x = 2(-1) + 1

x = -2 + 1

x = -1

therefore x =-1 y = -1

y = |x| translated one unit upward

Answers

Answer:

y = |x| + 1

Step-by-step explanation:

Answer:

y = |x| + 1

Step-by-step explanation:

Think about it first just in your head: if we want to translate up, that means every input (x) needs to be increased by one. The way to do this is by adding 1 outside of the absolute value sign!

You can also graph it online or on your calculator if you're confused!

Nancy goes out to lunch with. Jason and tim the total bill came to 27 dollars they decided to split the bill how much will each person pay?​

Answers

Answer:

$13.5

Step-by-step explanation:

27/2 = 13.5

What is the radius of the circle given by the equation below?

x2 + 12x + y2 - 12y = -56
A. 2
B. 16
C. 4
D. 8

Answers

Answer:

C

Step-by-step explanation:

First, you gotta complete the square!

x^2+12x+36 = (x+6)^2

y^2-12y+36 = (y-6)^2

So, we have (x+12)^2 + (y-6)^2 = -56 + 36 + 36

The right side of the equation is the radius^2.

Simplify:

-56 + 36 + 36 = 16

The square root of 16 is 4, so the answer is C!

Which of the following formulas could be used to find the perimeter, P, of a regular hexagon? plz

Answers

Answer:

Just add up all the sides and you get the perimeter.

The bedroom is 13ft. by 10ft. Determine the perimeter and area

Answers

Perimeter formula: 2b + 2h

Area formula: b * h

Perimeter:

2(13) + 2(10)

26 + 20

46

Area:

13 * 10

130

The perimeter is 46ft.²

The area is 130ft.²

Best of Luck!

Final answer:

In mathematics, the perimeter of the 13ft by 10ft bedroom would be 46ft and the area would be 130 square feet.

Explanation:

The perimeter of a rectangle (which a bedroom is 13ft. by 10ft. mostly is) can be determined by adding up all the sides. So, the formula for a rectangle is: Perimeter = 2(length + width). Given that your length is 13ft and width is 10ft, the calculation would be Perimeter = 2(13ft + 10ft), resulting in a perimeter of 46ft.

The area of a rectangle is calculated by multiplying the length by the width. In this case: Area = length * width, therefore Area = 13ft. * 10ft., resulting in an area of 130 square feet.

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Circle Q has a circumference of approximately 50 centimeters.What is the approximate length of the diameter, d? Use 3.14 for . Round to the nearest tenth of a centimeter.

Answers

Answer:

15.92

Step-by-step explanation:

50 ÷ 3.14 = 15.92

I need help:
The width of this rectangle is 1/3 of the length. Find the length and the width of the rectangle.

Answers

Answer:

3(y-4) =2y+6

3y - 12 = 2y +6

y = 18

so length is 42 in.

width is 14 in.

After solving the given equations, the length of the rectangle is 42 inches and the width of the rectangle is 14 inches.

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

The given data in the question,

According to the given diagram,

Length of the rectangle, L = 2y + 6 inches    (i)

Width of the rectangle, W = y - 4 inches   (ii)

The width of the rectangle is 1/3 of the length,

1/3(2y + 6) = (y - 4)

2y + 6 = 3y - 12

y = 18.

Substitute y = 18 in equation (i)

L = 2(18) + 6

L = 42 inches

Substitute y = 18 in equation (ii)

W = (18 - 4)

W = 14 inches.

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A block is set in motion hanging from a spring and oscillates about its resting position
x = 0
according to the function
x = 0.6sin(2t)+0.4cos(2t),
where x is in centimeters and t is in seconds. For what values of t in the interval [0,3] is the block at its resting position
x =0?

Answers

Answer:

t = 1.277 sec and t = 2.848 sec

Step-by-step explanation:

This problem is much more easily done by graphing it than by computing it using algebra.

The values of t we're looking for are the ones that make x = 0, so we want the solutions of [tex]0.6sin(2t)+0.4cos(2t)=0[/tex] on the interval [0, 3].

According to the graph, this is true when t = 1.277 seconds and t = 2.848 seconds.

Answer:

t = 1.28, 2.85

Step-by-step explanation:

x = 0.6sin(2t)+0.4cos(2t)

x = 0, so

0.6sin(2t)+0.4cos(2t) = 0

0.6sin(2t) = -0.4cos(2t)

Convert into tan(2t) by dividing both sides by 0.6cos(2t):

tan(2t) = -0.4/0.6

tan(2t) =-2/3

Since t lies in [0,3] ,

2t lies in [0,6]

tan(2t) =-2/3

Basic angle:

0.5880026035

Tan is negative is second and fourth quadrants

2t = 2.553590005, 5.695182704

t = 1.276795025, 2.847591352

If Ezra works less than or equal to 50 hours doing lawn care, he must spend at least __ hours walking dogs.

Answers

Final answer:

If Ezra works less than or equal to 50 hours doing lawn care, he must spend at least [answer] hours walking dogs.

Explanation:

To determine the minimum number of hours Ezra must spend walking dogs when he works less than or equal to 50 hours doing lawn care, we need to refer to the given information and apply it to the situation

According to the exercise, Louis requires one hour to cut a typical lawn, while Carrie Anne needs one and one-half hours. Therefore, Louis is more efficient at cutting grass. Carrie Anne, on the other hand, can wash a car in half an hour, while Louis requires three-quarters of an hour. So, Carrie Anne is more efficient at cleaning cars.

If they each specialize in the task they are most efficient at, Louis should cut the grass, and Carrie Anne should wash cars. This way, they can maximize their output in a given amount of time.

Now, if they each work a twelve-hour day, we can calculate how many lawns they can cut and how many cars they can wash based on their efficiency. Louis can cut 12 lawns (since he requires 1 hour per lawn), and Carrie Anne can wash 24 cars (since she can wash a car in 0.5 hours).

Therefore, if they specialize in their most efficient tasks, they can cut 12 lawns and wash 24 cars in a twelve-hour day.

Answer:

IT IS 35

Step-by-step explanation:

A group of students were surveyed about their interest in a new International Studies program. Interest was measured in terms of high, medium, or low. 30 students responded high interest; 50 students responded medium interest; 20 students responded low interest. What is the relative frequency of students with high interest? A) 30% B) 50% C) 40% D) Cannot be de

Answers

Answer:

Relative frequency is the number of times an envent has occured.

When finding out the number of students with high interest you would take 30/100 because there was 30 students with high frequency and 100 students all together.

30/100=30%

A)30%

Hope this helps ;)

Final answer:

The relative frequency of students with high interest in the new International Studies program is 30%. This is calculated by dividing the number of high interest responses (30) by the total number of responses (100), and multiplying the result by 100.

Explanation:

The question asks us to calculate the relative frequency of students with high interest in the new International Studies program. To do this, we divide the number of students with high interest by the total number of students surveyed.

The total number of students polled is 30 (high interest) + 50 (medium interest) + 20 (low interest), which equals 100 students. So, to calculate the relative frequency for students with high interest, we divide the number of students with high interest (30) by the total number of students surveyed (100).

The calculation is as follows: (30 / 100) * 100 = 30%

Therefore, the relative frequency of students with high interest is 30%, which corresponds to option A in your multiple choice question.

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What’s does X-3 times X+5 equal

Answers

Answer:

x² + 2x - 15

Step-by-step explanation:

Given

(x - 3)(x + 5)

Each term in the second factor is multiplied by each term in the first factor, that is

x(x + 5) - 3(x + 5) ← distribute both parenthesis

= x² + 5x - 3x - 15 ← collect like terms

= x² + 2x - 15

What is the scale factor ASAP
and why

Answers

Answer:

The SF is 2/3

Step-by-step explanation:

You can find this out by creating a ratio between the points and it's image. The one with the apostrophe is the image, and the bigger one is the pre-image.

how do you select a month of the year at random what is the probability that the month ends with the ER

Answers

Answer:

4/12 or 1/3

Step-by-step explanation:

Answer:

1:3 or 1/3

Step-by-step explanation:

September, October, November, December

4 moths out of twelve

4/12 reduces to 1/3

The answer could be written 1/3 or 1:3.

Students in middle school and high school were surveyed about whether they have taken the SAT. Some of the survey results are listed here.

37% of middle school students have taken the SAT.
4% of high school students have not taken the SAT.

This information is shown in the two-way frequency table below. Drag numbers into the empty spaces to complete the table.

Answers

Answer:

Step-by-step explanation:k so high school total should be 100%

                                            middle school not taken SAT should be 63%

                                            high school have taken SAT should be 96%

basically just use your basic math. Turn the problem around and take the total(100%) and subtract what number you already know. So like This:

                                                                                                100-37=63

                                                                                                100-4=96

Final answer:

The subject of this question is SAT and it is related to middle school and high school. The answer provides an explanation of the survey results regarding students taking the SAT.

Explanation:

The subject of this question is SAT. The grade level of this question is Middle School, High School.

The table provided shows the survey results of whether middle school students and high school students have taken the SAT. From the information given, we can determine the missing values in the table:

Middle School Students Taken SAT = 37%

High School Students Not Taken SAT = 4%

*Please note that the table was not provided with the question, so we are unable to fill in the missing values.

Find the domain of the rational function 9x/(x+5)(x+3)

Answers

Answer:

the domain is : D = ]-∞ , -5[ U ]-5 , -3[ U ]-3 , +∞[

Step-by-step explanation:

hello :

f(x) = 9x/(x+5)(x+3)

f exist for : (x+5)(x+3) ≠ 0

(x+5)(x+3)=0

x+5=0 or x+3=0  means : x= - 5 or x= -3

the domain is : D = ]-∞ , -5[ U ]-5 , -3[ U ]-3 , +∞[

Which sample size of a population of 200 is most likely to give a reliable conclusion?

Answers

Therefore, the sample size of a population of 200 is most likely to give a reliable conclusion is 80.

Answer:

80

Step-by-step explanation:

What is the length of Line A B? On a coordinate plane, point A is (negative 4, 3), point B is (2, 3), and point C is (2, negative 1). 4 units 5 units 6 units 7 units

Answers

Answer:

6 units

Step-by-step explanation:

Answer:

6 units

Step-by-step explanation:

Find the area of this polygon. Answer choices: A 41 square units
B 44 square units
C 52 square units
D 56 square units

Answers

Answer:

A

Step-by-step explanation:

Answer:

41 square units

Step-by-step explanation:

It would be easier to split this shape up into a square and a triangle at the y=5 line.

The area of the square would be 16 and the area of the triangle(1/2 base x height) would be 25. 16 + 25=41

-1/2x>4 solve for x​

Answers

Answer:

X<-8

Step-by-step explanation:

-1/2x>4

Multiple both sides by -2

-2(-1/2)x<-2(4)

Multiple even numbers of negative terms

2(1/2)x<-2(4)

Cancel out the 2

(2 this is out)(1/(2 this is out))x<-2(4)

x<-2×4

Multiple

x<-8

Which linear function has a y-intercept at –3?

Answers

Answer:

Cant answer

Step-by-step explanation:

Depending on the option choices and without seeing the option choices I can give you an idea of how to solve this.

Using y=mx+b we can find the y intercept by knowing that B is the value of the y Intercept

Answer:

(0,-3)

Step-by-step explanation:

Find the m the slope (Y-y)/(X-x) using the two points given. Step 2 - Find b using slope- intercept y = mx + b and 1 of the points given.

Grace had 4 3/8 yards of elastic. She used 1 2/3 yards of the elastic to make bracelets for her friends. How many yards of elastic does she have now?

6 1/24 yards
3 7/24 yards
2 17/24 yards
3 17/24 yards

Answers

Answer:

Exact form: 65/24

Decimal form: 2.7083

Mixed number form: 2 17/24

Step-by-step explanation:

4 3/8 - 1 2/3 = 2 17/24




Which BEST describes the representation of the data on the given graph?
A) The graph represents the data appropriately.
B) The graph is misleading because the size of the sample is not shown.
C) The graph is misleading because the vertical scale does not begin at 0.
D) The graph is misleading because the scale is disproportional to the data.

Answers

Answer:

A) The graph represents the data appropriately.

Step-by-step explanation:

The graph above is a true representation of data showing the percent of political parties people who agreed with court.

From the graph above, three categories of political parties people are concerned; which are, the Democrats, the Republicans and the Independents.

It can therefore be deduced that 62% of the Democrats agreed with court. By implication, the percent of the Democrats who disagreed with court is 38%. Conversely, 54% of people agreed with court for both the Republicans and the Independents respectively. This implies that the percent of both the Republicans and the Independents who did not agree with court is 46% respectively.

However, the graph fails to provide us with information about what the people agree on; probably the outcome of an election or appointment of a minister.

The graph is not misleading in any way and it is not necessary that the vertical scale begin at zero. Therefore, the data represents the graph appropriately.

Write an expression for the sequence of operations described below.
divide w by 3, then subtract 10 from the result
Do not simplify any part of the expression.

Answers

Answer:

(w/3)-10

Hope this helps!

w/3 - 10 is an expression for the above-described series of operations.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

Given, divide w by 3, then subtract 10 from the result Do not simplify any part of the expression.

We need to Create an expression for the above sequence

divide w by 3

=> w/3

then subtract 10

=> w/3 - 10

Since it's written in the problem that does not simplify hence, we would simplify this equation further.

Therefore, an expression for the sequence of operations described above is w/3 - 10

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Re-write the quadratic function below in Standard Form
y = -7(x + 9) (x - 1)

Answers

Answer:

-7x squared -56x+63.

Step-by-step explanation:

Hope this helps!

Which point on the number line represent 42?

A.P
B.Q
C.R
D.S

Answers

I think is letter A....

Answer:

Q

Step-by-step explanation:

because 42 square rooted is between 6 and 7.

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