Luis wants to buy a skateboard that usually sells for $79.20. All merchandise is discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state sales tax of 7.25%. Round your intermediate calculations and answer to the nearest cent.

Answers

Answer 1
Answer:

Answer:

$74.75

Step-by-step explanation:

When it comes to tax, the sales tax is applied after the discount is provided by the store, as long as it is something like a direct store coupon or a discounted price. In this case, it is a discounted price by the store, so we will include sales tax after.

$79.20 after a 12% discount becomes $69.70 (or $69.696).

The state tax applies to this new price.

7.25% of $69.70 is $74.75

Answer 2
Answer:

Final answer:

To find the total cost of the skateboard, calculate the discount and the sales tax separately. The total cost is $74.76.

Explanation:

To find the total cost of the skateboard, we need to calculate the discount and the sales tax separately.

First, calculate the discount by multiplying the original price by the discount rate:

Discount = $79.20 * 12% = $9.50

Next, subtract the discount from the original price to find the discounted price:

Discounted price = $79.20 - $9.50 = $69.70

Finally, calculate the sales tax by multiplying the discounted price by the sales tax rate:

Sales tax = $69.70 * 7.25% = $5.06

Now, add the discounted price and the sales tax to find the total cost:

Total cost = $69.70 + $5.06 = $74.76 (rounded to the nearest cent).

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The gcf of 135 225 270

Answers

The greatest common factor of 135 225 and 270 is 135/225 = 3/5

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The GCF of 135, 225, and 270 is 45.

The GCF (Greatest Common Factor) is the largest number that divides evenly into two or more numbers. To find the GCF of 135, 225, and 270, we need to find the common factors of the three numbers and choose the largest one.

The factors of 135 are: 1, 3, 5, 9, 15, 27, 45, 135.

The factors of 225 are: 1, 3, 5, 9, 15, 25, 45, 75, 225.

The factors of 270 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270.

The common factors of 135, 225, and 270 are: 1, 3, 5, 9, 15, 45.

The largest common factor is 45. So, the GCF of 135, 225, and 270 is 45.

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A radius is a segment that connects any point on the circle to the center of that circle.True or False?

Answers

Answer:

True

Step-by-step explanation:

First let's understand the definition of circle.

A circle is a round plane figure. It is set of points moving from the center at equal distance. If we connect the points we get a circle.

The distance from the center and any points on the circle is called radius.

In other words, a line segment that is connecting the center of a circle and any point on the circle is called radius.

Radius is half of the diameter.

R = D/2, where D is the diameter of the circle.

Therefore, the statement is true.

Yes, it's true.

That is the definition of the radius: The segment that connects any point on the circle with the center of the circle

A point P(3,4)is reflected in the x-axis, then rotated by 90 degrees clockwise about the origin.What are the coordinates of the image of P?

Answers

Answer:

(-4, -3)

Step-by-step explanation:

When a point is reflected in the x-axis, the x-coordinate does not change, and the y-coordinate becomes negative:

  • (x, y) → (x, -y)

Therefore, if point P(3, 4) is reflected in the x-axis, then:

  • P' = (3, -4)

When a point is rotated90° clockwise about the origin, it produces a point that has the coordinates (y, -x):

  • (x, y) → (y, -x)

Therefore, if point P'(3, -4) is rotated 90° clockwise about the origin, then:

  • P'' = (-4, -3)

The square represents a scale model that was created by using a factor of 4. 8 ft 8 ft [Not drawn to scale] Which is true of the measures of the sides of the original square? Each side of the original square is 7 the length of each side of the scale model. O Each side of the original square is 4 times the length of each side of the scale m O Each side of the original salvare is the same length as each side of the scale ma​

Answers

Answer:

B

Step-by-step explanation:

A wheel has a radius of 15 cm. Approximately how far does it travel in 4 revolutions?47.1 cm


94.2 cm


188.4 cm


376.8 cm

Answers

Radius is 15 cm
Circumference = 2 pi r
C = 2 x 3.14 x 15cm
C = 94.2 cm
94.2 cm x 4 (revolutions) = 376.8 = D

Solve the equation 6x +2y = 10 for y in terms of x gives what function?y = -6x +10
y = -3x +5
y = 2x
y = 3x + 5

Answers

The correct equation for y in terms of x would be, y = - 3x + 5

Hence, option 2 is true.

Used the concept of an equation that states that,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that the expression is,

6x + 2y = 10

Now, simplify the equation for y in terms of x as,

6x + 2y = 10

Subtract both sides by 6x,

2y = - 6x + 10

Divide both sides by 2,

y = - 3x + 5

So, The correct equation would be, y = - 3x + 5

Thus, option 2 is true.

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Answer:

y = - 3x + 5

Step-by-step explanation:

Given

6x + 2y = 10 ( subtract 6x from both sides )

2y = - 6x + 10 ( divide all terms by 2 )

y = - 3x + 5