Mr. Autry bought a hat for $99.90. He also bought a pair of boots for $89.90. What was the total cost of the hat and boots including an 8% sales tax

Answers

Answer 1

Answer:

$204.98

Step-by-step explanation:

Step 1: Add both item cost

[tex]99.90 + 89.90 = 189.80[/tex]

Step 2: Find the sales tax of the result

[tex]\frac{8}{100}\times 189.8 = 15.184[/tex]

Step 1: Convert 8% to fraction[tex]8\%= \frac{8}{100}[/tex]Simplify[tex]\frac{8}{100} = \frac{2}{25}[/tex]Step 2: Convert 189.80 to a fraction[tex]189.80 = \frac{189.8}{1}[/tex]Step 3: Set it up[tex]\frac{2}{25}\times \frac{189.8}{1}[/tex]Step 4: Cross divide[tex]189.80 \div 25 = 7.592\\2 \div 1 = 2[/tex]Step 5: Multiply the result[tex]7.592 \times 2 = 15.184[/tex]

Step 3: Add the result from the total cost of both items

[tex]189.80 + 15.184 = 204.98[/tex]

The total cost of the hats and boots including sales tax is 204.98 dollars


Related Questions

I need help on these 2 questions, please and thank you!

Answers

Answer:

1.1 : C - x^2 + x - 2

1.2 : A - 4a^2 - 6b^2 + 12

Step-by-step explanation:

When we have the expression p(x) - q(x), we can substitute those functions in:

(x^2 + 2x - 5) - (x - 3)

We can distribute:

x^2 + 2x - 5 - x + 3

and then combine like terms(2x & -x, -5 & 3)

x^2 + x - 2

This is the same as C.

We can start by distributing:

a^2 - 2b^2 + 3 - 4b^2 + 5 + 3a^2 + 4

Now, we can combine all the a^2 terms(a^2 & 3a^2):

4a^2 - 2b^2 + 3 - 4b^2 + 5 + 4

Then, we can combine the b^2 terms(-2b^2 & -4b^2):

4a^2 - 6b^2 + 3 + 4 + 5

and lastly, all the constants:

4a^2 - 6b^2 + 12

This aligns with option A

complete the square f(x)=x^2-12x-4

Answers

Answer:

Solve for x over the real numbers:

x^2 - 12 x - 4 = 0

Add 4 to both sides:

x^2 - 12 x = 4

Add 36 to both sides:

x^2 - 12 x + 36 = 40

Write the left hand side as a square:

(x - 6)^2 = 40

Take the square root of both sides:

x - 6 = 2 sqrt(10) or x - 6 = -2 sqrt(10)

Add 6 to both sides:

x = 6 + 2 sqrt(10) or x - 6 = -2 sqrt(10)

Add 6 to both sides:

Answer: |

| x = 6 + 2 sqrt(10) or x = 6 - 2 sqrt(10)

Jan says that a rhombus is a parallelogram and that every parallelogram is also a rhombus. Is Jan correct?

Answers

Answer:

No

Step-by-step explanation:

A parallelogram has opposite sides parallel and equal in length. Also, opposite angles are equal. Squares, rectangles, and rhombuses are all parallelograms. So all parallelograms are not rhombuses.

Linh needs 24 days to finish a task. Huy and Linh need 6 days to complete a task if they work together. How many days does Huy need to finish the task by himself? Write the answer?? ASAP PLSSSS

Answers

Answer:

most likely 12, because you can take half of the time with double the people.

Step-by-step explanation:

I hope this helped!

WILL GIVE BRAINLIEST!!!!!!!!!!!! 20 points

Answers

Answer:

if they are same exact thing but mirrored, then just mirror it the way it needs to.

Example

-1 in the second by -3.4, 3.4 by  1

Quinn has a savings account with a balance of
$84.50. He withdraws $32.85, deposits $72.30,
and then withdraws $3.95. If Quinn gives his
brother 1/4 of his savings, how much does he
give his brother?

Answers

Aaron wants to know how much he needs to save each month in his savings account to have a certain amount in the future. He should use the formula for present value of a periodic deposit investmen

A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If Nathan draws two marbles without replacing them, what is the probability he will draw 2 red marbles?

Answers

Answer:

It would be a 2/9 chance.

Step-by-step explanation:

So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.

With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.

Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.

With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.

Now, combine these two probablities by multipliying them and you've got your answer!

5/10 * 4/9 = 20/90 ---> 2/9

Tonya has a rectangular rug as shown. The rug is 4 feet longer than it is wide. (Part A) Create an expression that can be used to determine the length and the width of the rug. Write your answers in terms of x .

Answers

Answer: [tex]x(x+4)[/tex]

Step-by-step explanation:

Given

The rug is 4 feet longer than its width

Suppose the length of the width is x

Length is given by x+4

So, the product of length and width is equal to the area of the rug

[tex]\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}][/tex]

(06.03)

A student wants to report on the number of books her friends read each week. The collected data are

below:

0 24 1 4 5 2 5 4

Which measure of center is most appropriate for this situation and what is its value? (2 points)

O Median; 2.

Median; 4

CE O

Mean; 2

O Mean: 4

Answers

Answer:

Median is best suitable, it = 4

Step-by-step explanation:

Median is best suitable as this data' measure of central tendency. As, mean is suitable in a normally distributed data. But, in skewed (uneven) distributions, where outliers exist, median is more suitable - as it is positional average, not effected by extreme values ie outliers.

Median :

Ascending order : 0 , 1 , 2 , 2 , 4 , 4 , 4 , 5 , 5

Number (N) = 9. So, median = (N+1/ 2)th observation

= { (9 +1) / 2 } th = (10 / 2)th = 5th observation = 4

Answer:

median 4

Step-by-step explanation:

draw a circuit plz A 3 Ω resistor is connected in series to a 6 Ω resistor and a 12-V battery.
a. Draw the circuit.
can someone help me draw a better circuit plz

Answers

Answer:

I think the diagram is like this, I am not sure though.

Step-by-step explanation:

Answer:

brainliest please, sorry for the inconveniences

Paragraph Finding the part, percent, and the whole Styles 1) Sixteen students in the school band play clarinet. Clarinet players make up 20 %v of the band. How many students are in the school band?​

Answers

Answer:

80

Step-by-step explanation:

You know that 20% of the school band are 16 clarinet players, or 16 is 20% of the band.

You can set up the equation 0.2x = 16 and divide both sides by 0.2. You then get that x = 80, so there are 80 kids in the school band.

Each car on a Ferris wheel travels 942.5 ft during 10 rotations of each ride. How high is each car at the highest point of each rotation?

Answers

Answer:

94.25 feet

Step-by-step explanation:

we can use the formula for the circumference of the circle to determine the diameter of the ferris wheel.

I need help with this

Answers

24. 43 degrees
25. 90 degrees
26. 47 degrees


I don’t really know what the question was so I assumed you wanted the angle of each?

find the equation of the line with a slope of 3/4 and passes through (4-2)

Answers

Answer:

y = 3/4x - 5

Step-by-step explanation:

An equation of a line can be written in slope-intercept form:

y = mx + b

where m is the slope and b is the y-intercept.

Let's plug in what we know.

The slope is 3/4.

y = 3/4x + b

To find b, we want to plug in a value that we know is on this line: in this case, I will use the point (4, -2). Plug in the x and y values into the x and y of the standard equation.

-2 = 3/4(4) + b

To find b, multiply the slope and the input of x(4)

-2 = 3 + b

Now, subtract 3 from both sides to isolate b.

-5 = b

Plug this into your standard equation.

y = 3/4x - 5

This is your equation. It has a slope of 3/4, and passes through (4, -2)

Hope this helps!

Can someone please help me with math.

Answers

Answer:

A

Step-by-step explanation:

So lets look at the points on the graph.

Actually, lets just look at a and b(We only need 1 of these points, but it doesnt hurt to do a little extra to udnerstand it better)

If we count the coordinates for A, we get:

(-2, 3)

Remember, we need to use a scale factor of 2 for this.

So we need to multiply by 2.

This now gets us:

(-4. 6)

This looks like answer A, which has:  (-4, 6) for A coordinates.

Now, lets check this with B coordinates:

(1, 3)

Multiply by 2:

(2, 6)

For answer A, is this the B coordinates?

Yup, answer A has B coordinates (2, 6)

So the answer is A!

Hope this helps! :)

Rodriguez has saved $8500 for college expenses. He plans to spend $700 a month from his account. Write an equation to represent the situation.

Answers

Rodriguez saved $8500 (starting value) also the y intercept
He spends $700 (-700) as decreasing per month also the slope
Y = b + mx, b being y intercept and m = slope. Now plug the values in

Solution: y = 8,500 - 700x
y being $ in his account
x being per month

Equation represents the given situation is [tex]y = \$(8500- 700x)[/tex].

What is equation?

" Equation is defined as the algebraic expression which represents the relation between variables and the number using sign of equality."

According to the question,

Initial amount is Rodriguez account [tex]= \$8500[/tex]

Plans to spend a month from his account [tex]= $700[/tex]

[tex]'x'[/tex] represents the number of months

Amount spend in [tex]'x'[/tex] months [tex]= 700x[/tex]

[tex]'y'[/tex]  represents the amount left in the account

As per given situation required equation is ,

[tex]y = \$(8500-700x)[/tex]

Hence, equation represents the given situation is [tex]y = \$(8500- 700x)[/tex].

Learn more about equation here

https://brainly.com/question/10413253

#SPJ2

Find the indicated measure. Assume that lines which appear to be diameters are diameters.

Answers

Answer:

The measure of the angle is 120 degrees

Step-by-step explanation:

Here, we want to find the measure of the angle

Mathematically, the sum of angles at a point ( the center of the circle in this case) is equal to 360 degrees

We have the measures 150 degrees and 90 degrees; by adding this two and subtracting from 360, we will have the measure of the the marked angle

Thus, we have this as;

360 - (150 + 90)

= 360-240

= 120

What is the volume of a cylinder, in cubic feet, with a height of 13 feet and a base diameter of 4 feet? Round to the nearest tenths place.

Answers

Answer:

V≈163.36ft³

Step-by-step explanation:

V=π(d 2)2h=π·(4 2)2·13≈163.36282ft³

Diameter= 4ft

Height=13ft

Heart me pls

Tickets to a museum cost $16 each. For a field trip, the museum offers a $4 discount on each ticket. How much will tickets for 32 students cost?

Answers

Answer:

the tickets will cost 384 dollars in all

The figure is a parallelogram Solve for x.

Answers

Answer:

The value of x is 11.

Explanation:

The opposite sides of a parallelogram being equal, GD will be equal to 17. Equating, the value '11' is obtained.

Let A be the set of all strings of decimal digits of length 5. For example 00312 and 19483 are two strings in A. You pick a string from A at random. What is the probability that the string has no 4 in it

Answers

Answer:

0.59049

Step-by-step explanation:

Set of all digit strings of length 5

Digit range = (0 - 9) = 10

Length of digit = 5

Total possible outcomes = 10^5 = 100000

String without a 4 ;

Digit range = (0,1,2,3,5,6,7,8,9) = 9

Length of digit = 5

Required outcome = 9^5 = 59049

Required outcome / Total possible outcomes

59049 / 100000

= 0.59049

There were 162 people sitting in the school auditorium of which 1/9 were teachers while the rest were students how many teachers were sitting in the auditorium

Answers

Answer:

There are 18 teachers in the auditorium.

Step-by-step explanation:

1/9 of 162

1/9 * 162 = 18.

The basic wage earned by a truck driver for a a 40 hour week is 560.00$ for overtime work the driver is paid one and a half hour time daily hourly rate calculate his overtime

Answers

Answer:

$7

Step-by-step explanation:

overtime = 1/2 x daily hourly rate

daily hourly rate = amount earned in a week / total hours worked

560 /40 = 14

overtime = 14/2 = 7

Find X and Y. ( solve using picture)

Answers

y is 72 because it is 180-108=y

Step-by-step explanation:

y is 72, give other person brainly! :)

w(x) = −3x− 4; Find w(7)

Answers

-25
good luck :)))))
The answer is -25
-3(7)-4
-21-4
-25

I'll give BRAINLIEST PLEASE ANSWER

Answers

Answer:

C

D

Step-by-step explanation:

there's nothing to explain here. just basic

Answer: C

Step-by-step explanation: To simplify the first equation given, you use the process of elimination. There are three of the same variable, s, and that would be simplified to 3s. After that everything remains the same. Making C equivalent to the given equation.

math question please help

Answers

Answer:

function is h(t) = -16t² + 22t + 6

max height is 13.5 feet

Step-by-step explanation:

Rose is drawing a portrait for her art class. She is using a sheet of paper what is 6 inches wide and 12 inches long. What is the area of the art paper in square feet?

Answers

Answer:

0.5 ft^2

Step-by-step explanation:

The area in square inches is (6 in )(12 in) = 72 in^2.

Recall that 1 ft^2 = 144 in^2.

Then

  72 in^2         1 ft^2

--------------- * --------------- = 0.5 ft^2

         1           144 in^2

Rewrite the function, differentiate, and then simplify

y= 3/√x

Answers

Answer:

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]

Step-by-step explanation:

Differentiate using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

y = [tex]\frac{3}{\sqrt{x} }[/tex] = 3[tex]x^{-\frac{1}{2} }[/tex] , then

[tex]\frac{dy}{dx}[/tex] = - [tex]\frac{3}{2}[/tex] [tex]x^{-\frac{3}{2} }[/tex] = - [tex]\frac{3}{2x^{\frac{3}{2} } }[/tex]

The ages of George and Genemy are in ratio 5:7 . Four years from now the ratio of their ages will be 3:4 .Find their present ages.​

Answers

Answer:

Below in bold.

Step-by-step explanation:

Let x be George's age and y be Genemy's age.

x/y = 5/7

(x + 4)/ (y + 4) = 3/4

From equation 1, y = 7x/5 = 1.4x so substituting in equation 2 :

(x + 4)/ (1.4x + 4) = 3/4

3(1.4x + 4) = 4(x + 4)

4.2x + 12 = 4x + 16

0.2x = 16 -12 = 4

x = 4/0.2 = 20 = George's age.

So y = 1.4x = 1.4 * 20 = 28 = Genemy's age.

The Un are 5 and zap
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