At a music store, the price of a set of speakers is $245, plus the sales tax of 6.5%. What is the total cost of the speakers, including the sales tax?

Answers

Answer 1

Answer: In order to find out what the additional value of the sales tax would be,which is 6.5%, you have to find 1% of $245. Which is $2.45. As you're looking for 6.5%, you have to multiply $2.45 by 6.5, which gives you $15.93 (rounded). In order to find the cost including the sales tax, you have to add $15.93 to the original price of $245, which gives you $260.93.Therefore, the price of the speakers, including a sales tax of 6.5% is $260.93Hope this helps :)

Answer 2

Answer: So,

The total cost = cost + sales tax

cost + sales tax = x or total cost

1. cost = $245

2. sales tax = 0.065(cost)

245 + 0.065(cost) = x

Simplify
245 + 15.925 = x

Round to the nearest hundredth
245 + 15.93 = x

Collect Like Terms

260.93 = x

The total cost of the speakers, including tax, is $260.93.

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which of these story problems describes the sum 19 + (-12)? check all that apply. show your work to justify your answer.

A jewelry stand sells 5 different pairs of earrings. The earrings sell for $12, $9, $6, $8, and $10.What is the mean absolute deviation of the prices? Round to the nearest cent, if necessary.

$______

Answers

The answer is $1.6

Step 1. Find the mean of all values (X = ?).
Step 2. Find the distance of all values from the mean (d1, d2, d3, d4, d5).
Step 3. Find the mean of distances (D).

x1 = $12
x2 = $9
x3 = $6
X4 = $8
x5 = $10

Step 1.
X = (x1 + x2 + x3 + x4 + x5)/5
= (12 + 9 + 6 + 8 + 10)/5
= 45/5
= $9

Step 2.
d1 = 12 - 9 = 3
d2 = 9 - 9 = 0
d3 = 9 - 6 = 3
d4 = 9 - 8 = 1
d5 = 10 - 9 = 1

Step 3.
D = (d1 + d2 + d3 + d4 + d5)/5
= (3 + 0 + 3 + 1 + 1)/5
= 8/5
= $1.6

What are some ways you can create a new system of equations based on a given system?

Answers

by adding/ subtraction systems

Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting charges $14 plus $5 per hour. Darlene's Dog Sitting charges $18 plus $3 per hour.54 42

Part 1 out of 2
Complete and solve the equation that can be solved to find the number of hours for which the total cost will be the same for the two services. In your equation, use x to represent the number of hours of dog sitting.

The equation is .
The total cost will be the same for the two services at hours.

Answers

Answer:

The Equation is $14+5x=18+3x$ .

The total cost will be the same for the two services at 2 hours.

Step-by-step explanation:

Given:

Fixed charge of Derrick = $14

Hourly charge of Derrick = $5

Fixed charge of Darlene = $18

Hourly charge of Darlene = $3

Let number of hours be 'x'.

Hence We can say that Total Charges of Derrick's Dog Sitting will equal to sum of Fixed charge of Derrick and Hourly charge of Derrick multiplied by Number of hours.

Framing in equation form we get;

Total Charges of Derrick's Dog Sitting = $14+5x$

Now We can say that Total Charges of Darlene's Dog Sitting will equal to sum of Fixed charge of Darlene and Hourly charge of Darlene multiplied by Number of hours.

Framing in equation form we get;

Total Charges of Darlene's Dog Sitting = $18+3x$

we need to find the number of hours used at which both the total cost would be same.

we can say;

Total Charges of Derrick's Dog Sitting = Total Charges of Darlene's Dog Sitting

$14+5x=18+3x$

Hence the Equation is $14+5x=18+3x$

On Solving the equation we will find the numbers of hours for the same we get;

Combining like terms

$5x-3x=18-14$

$2x=4$

Now dividing both sides by 2 using Division property we get;

$(2x)/(2)=(4)/(2)\n\nx=2$

Hence, The total cost will be the same for the two services at 2 hours.

Write 0.000038 in scientific notation.

Answers

0.000038 = 3.8e-5 = 3.8×10⁻⁵

0.000038 => 10^-5 * 38

Please help ASAP. PRE ALGEBRA

Answers

Answer:

90, 90, 90, 135, 135

Step-by-step explanation:

The sum of the measures of all angles is 540 deg.

The measures of the angles are: x - 45, x - 45, x, x, x - 45.

Add the expressions of the measures of the angles and set equal to the sum of the measures, 540 deg. Then solve for x. Then use the value of x to find each angle measure.

x + x + x - 45 + x - 45 + x - 45 = 540

5x - 135 = 540

5x = 675

x = 135

x - 45 = 135 - 45 = 90

Answer: 90, 90, 90, 135, 135

10 Points! How do you calculate the volume of a 3D figure? Example(s)?

Answers

There is not really a rule to figuring out this question.There are kinda multiple ways to determine the volume of a 3D object. It really depends on what 3D object you are trying to find the volume for. But i can give you and example. Say you have a 3 dementional cube and you need to find the volume of that cube. You would take the bottom square of the cube and fine the area like you would any other square. But since this is a cube you have height to worrie about. So you will take the area you got for the bottom square and times that by the height. You will then have your answer. And if you are dealing with a cylinder same thing goes except with circle. Find the area of the bottom circle then times that by the area. Hope this helped sorry for taking so long.

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