A store in Madison, Wisconsin, advertised an HDTV for $1,224.95.
a. What is the sales tax if the combined state and city rate is 6 percent?
b. What is the total purchase price?

Answer:

-8x

Step-by-step explanation:

Answer:

x/8

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Answer:

Step-by-step explanation:

If you connect the chord ends to the center you will see that you form a right triangle where:

[tex]r^2=16^2+\left(\frac{9x-15}{2}\right)^2\ and\ r^2=16^2+\left(\frac{7x+5}{2}\right)^2\\ \\

\text{From these equations we can see}\\ \\ (9x-15)^2=(7x+5)^2\\ \\ 9x-15=7x+5\\ \\ 2x=20\\ \\ x=10[/tex]

Answer:

if you use Newton's 2nd rule:

F = m* a (force = mass * acceleration)

you can rearrange the terms to:

a = F/m (acceleration = Force/mass)

which will let you solve for acceleration.

Answer:

6x-y = -18

Step-by-step explanation:

Answer:

since,

y = 2x and y = –2x + 15

then,

2x = –2x + 15

or, 4x = 15

or, x = 15/4

or, x = 3.75

Also,

y= 2x

= 2*3.75

= 7.5

Hope it helped

All the best!!

Answer:

Step-by-step explanation:

[tex]x^{2} = -2x^{2} +15[/tex]

add [tex]2x^{2}[/tex] to both sides

[tex]3x^{2} = 15[/tex]

divide each side by 3

[tex]x^{2} =5[/tex]

square root each side [tex]\sqrt{x^2} =\sqrt{5}[/tex]

[tex]x= 2.23606794[/tex] or rounded to the nearest hundredth [tex]x=2.24[/tex] or x = ±[tex]\sqrt{5}[/tex]

These are all the shapes

Answer:

The equation is:

y= 103 --23d

Step-by-step explanation:

The initial amount was 103 grams.

After one day of use the remaining amount of soap was 80 grams.

So the amount of time he spent in one day was:

Each day Leslie spends 23 grams of soap.

if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:

y= 103 --23d

Step-by-step explanation:

0 would be your answer

first you combine like terms and get 5a+4 on each side then you have to solve the equation.

Answer: You could drive 1120 miles with 40 gallons of gas. The car's gas mileage is 28 miles on a gallon of gas.

Answer:

3600 watt-hours consumed per day.

Step-by-step explanation:

First we'll want to find how many hours are in 3 days and 6 hours.

3 x 24 = 72 + 6 = 78

78 hours is 3 days and 6 hours.

We then divide 11700 by 78 to find out how many watt-hours it will consume per hour.

11700 / 78 = 150

Now that we know how many watt-hours it will consume per hour, we can multiply it by 24 to find out how many it will consume in a day.

150 x 24 = 3600

Answer:

7.78

Step-by-step explanation:

Answer:

Total number of employees = 86,891 employees

Step-by-step explanation:

Let

x = total number of employees

26.7% of x = 23,200

26.7/100 * x = 23,200

0.267 * x = 23,200

0.267x = 23,200

x = 23,200/0.267

x = 86,891.385767790

approximately 86,891 employees

Total number of employees = 86,891 employees

Answer:

the answer would be x=3,1

Answer:

After completing the square, we can say:

(x - 2)² = 1

If we solve for x, this tells us that x has a value of both 1 and 3.

Step-by-step explanation:

Given:

x² - 4x + 3 = 0

We can complete the square by adding 1 to both sides:

x² - 4x + 4 = 1

(x - 2)² = 1

We can then solve for x by saying:

(x - 2)² = 1

x - 2 = √1

x = 2 ± 1

x = 1, 3

Answer:

Please refer to the attached image.

Answer:

equation a and graph E

equation b and graph a

equation c and graph b

equation d and graph D

Step-by-step explanation:

Answer:

350 kilómetros por hora son 97,2222 metros por segundo ;)

The result of converting 350 km/h to meter per second is 97.22 m/s.

To convert from kilometers per hour (km/h) to meters per second (m/s), you need to apply the conversion factor.

The conversion factor for this conversion is 1 km/h = 0.2778 m/s.

To convert 350 km/h to m/s, multiply 350 by the conversion factor:

350 km/h×0.2778 m/s

= 97.22 m/s

Therefore, the result of converting 350 km/h to m/s is approximately 97.22 m/s.

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Answer:

no it is not correct

Step-by-step explanation:

it's kind of hard to explain in words so I'm sorry about that

hope it helps

Answer:

c)12.6 inches

the ans in cm is 31.9 cm

Answer:

4x² - 16.

Step-by-step explanation:

(2x-4)² =?

(2x-4)² = (2x)² - (4)²

= 4x² - 16.

Answer:

x = 2

Step-by-step explanation:

To solve , equate to zero, that is

(2x - 4)² = 0, so

2x - 4 = 0 ( add 4 to both sides )

2x = 4 ( divide both sides by 2 )

x = 2

===========================================================

Work Shown:

Because segment GI is parallel to segment TA, this means triangle VGI is similar to triangle VTA.

From that we can set up the proportion

VG/VT = VI/VA

which breaks down into

VG/(VG+GT) = VI/(VI+IA)

Let's plug in the given values. Let x be the length of segment IA.

Let's solve for x

VG/(VG+GT) = VI/(VI+IA)

72/(72+61) = 95/(95+x)

72/133 = 95/(95+x)

72(95+x) = 133*95 ......... cross multiply

6840+72x = 12635

72x = 12635-6840

72x = 5795

x = 5795/72

x = 80.4861111111111 ......... which is approximate

x = 80.49 ......... rounding to the nearest hundredth

The length of IA is roughly 80.49 units. This is not the final answer. The fact that 80.49 is listed as one of the answer choices seems to imply your teacher put it as a trick answer.

Since we found IA = 80.49, this means,

VA = VI + IA

VA = 95 + 80.49

VA = 175.49

This is the length of segment VA, which is the same as segment AV.

-----------------------------

Here's a slightly similar way to solve:

VT = VG+GT = 72+61 = 133

VG/VT = VI/VA

72/133 = 95/x

72x = 133*95

72x = 12635

x = 12635/72

x = 175.486111111111

x = 175.49 is the approximate length of segment AV.

Answer:

She spent $22 on food, and $48 on clothes.

Step-by-step explanation:

Let's define the variables:

C = amount of money that Deborah spent on clothes

F = amount of money that Deborah spent on food.

We know that she spent in total $70, then we have the equation:

F  + C = $70

And we know that she spent $26 more on clothes than on food, then we have the equation:

C = F + $26

This means that we have a system of equations:

F + C = $70

C = F + $26

To solve these type of systems, we usually start by isolating one variable in one of the equations. Here we can see that C is already isolated in the second equation.

Now we can replace it in the first equation.

F + (F + $26) = $70

Now we can solve this for F.

2*F + $26 = $70

2*F = $70 - $26 = $44

F = $44/2 = $22

So she spent $22 on food.

Now we can use the equation:

C = F + $26

To find how much she spent on clothes, where we need to replace F by the value we found.

C = $22 + $26 = $48

She spent $48 on clothes.

Answer:

constant monomial

Step-by-step explanation:

The polynomial, 9, has 1 term and its degree is 0. Therefore, the polynomial is a constant monomial.

The given expression is a constant monomial. Therefore, option A is the correct answer.

A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.

Here given expression is 9.

A constant monomial is a term with only a constant number. There is no variable in a constant monomial.

So, 9 is a constant monomial.

The given expression is a constant monomial. Therefore, option A is the correct answer.

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Answer:

No. The answer would be n=5

Step-by-step explanation:

You have to subtract the 2 from both sides to cancel it out on the left side. so you would be doing 7-2, not 7+2

Answer:

a) 2.5 x 10^5

b) 8.1 x 10^4

c) 9.06 x 10^8

d) 1.034 x 10^10

Answer:

si=Ptr/100

and di solution

Answer:

( 10,-7)

i didn't understand what u wrote in choice

The coordinates of the point S of the line RS having midpoint T are found to be (10, -7).

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

here, we have,

The points that are given to us are R(-2,3) and T(4, -2).

The point T is the mid point of the line segment RS.

If A(a, b) and B(c, d) are the two points then the mid point M of the two points will be,

M = ((a+c)/2), ((b+d/2))

So, using the above modified form of section formula we can find the coordinates of the point S.

Assuming point S to be x and y.  

So, putting all the values,

(4, -2) = ((-2+x)/2), ((3+y/2))

Now, solving further, we get,

-1+x/2 = 4

-2+x = 8

x = 10

And,

3 + y = -4

y = -7

So, the coordinates are (10, -7).

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Answer:

Answer: Expression that represents the length of one side of the square is x - 5.