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nika2105 [10]
3 years ago
7

Nathan took his car in for service and repairs. He had a coupon for 10% off. Which amount is closest to Nathan's total costs aft

er the 10% discount and including 6% sales tax? [Assume tax is applied after the discount is applied.]

Mathematics
1 answer:
wariber [46]3 years ago
5 0

The right answer is Option A.

Step-by-step explanation:

Given,

Labor = $276.06

Parts = $304.20

Others= $74.32

Total = 276.06+304.20+74.32 = $654.58

Discount = 10%

Amount of discount = 10% of total amount

Amount\ of\ discount=\frac{10}{100}*654.58\\Amount\ of\ discount=\frac{6545.8}{100}\\Amount\ of\ discount= \$65.46

Remaining amount = Total amount - discount amount

Remaining amount = 654.58 - 65.46

Remaining amount = $589.12

Sales tax = 6%

Amount of sales tax = 6% of remaining amount

Amount\ of\ sales\ tax=\frac{6}{100}*589.12\\Amount\ of\ sales\ tax=\frac{3534.72}{100}\\Amount\ of\ sales\ tax= \$35.35

Amount to be paid = Remaining amount + sales tax

Amount to be paid = 589.12 +35.35

Amount to be paid = $624.47

Rounding off to nearest whole number;

Total amount to be paid = $624

The right answer is Option A.

Keywords: sales tax, discount

Learn more about sales tax at:

  • brainly.com/question/10666510
  • brainly.com/question/10699220

#LearnwithBrainly

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liubo4ka [24]

150 can't go into 180 equally, so the answer is 1.2


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3 years ago
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Elina [12.6K]

Answer:

The correct answer would be 2:1

Step-by-step explanation:

In order to find this, start with the ratio as it is written and sub in the values. Then simplify to the lowest possible terms.

Ran:Walker

8:4

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6 0
3 years ago
For what values of x and y must the figure have in order to be parallelogram?
Oduvanchick [21]

Answer:

y = 10°

x = 64°

Step-by-step explanation:

Parallelogram is a quadrilateral with the opposite sides parallel to each other. Opposite sides are equal in length. Opposite angles are equal in a parallelogram.

For the figure to be a parallelograms, since opposite angle are equal

12y + 8 = 2x

2x - 12y = 8 ...................(i)

2x + 5y + 2 = 180(supplementary angle)

2x + 5y = 178..............(ii)

combine the equation

2x - 12y = 8 ...................(i)

2x + 5y = 178..............(ii)

make x subject of the formula in equation (i)

2x - 12y = 8 ...................(i)

2x = 8 + 12y

x = 4 + 6y

put the value of x in equation (ii)

2x + 5y = 178..............(ii)

2(4 + 6y) + 5y = 178

8 + 12y + 5y = 178

8 + 17y = 178

17y = 170

divide both sides by 17

y = 170/17

y = 10°

Put the value of y in equation (i)

2x - 12y = 8 ...................(i)

2x - 12(10) = 8

2x - 120 = 8

2x = 128

x = 128/2

x = 64°

7 0
3 years ago
Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it.
nataly862011 [7]

Answer: <u>110 feet per second</u>

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

S1=\frac{45*5280}{3600}=66

S2=\frac{60*5280}{3600}=88

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}

h=\sqrt{12100}=110

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

7 0
3 years ago
Brian irons 2/9 of his shirt in 3 3/5 minutes. At this rate, how much of his shirt does he iron each minute?
vodka [1.7K]

The speed for which Brian iron the shirts is given by:

R = \frac{\frac{2}{9}}{3\frac{3}{5}}

Rewriting we have:

R = \frac{\frac{2}{9}}{\frac{18}{5}}

R = \frac{10}{162}

Then, for each minute, we have the amount of ironed shirt is:

(\frac{10}{162})(1) = \frac{10}{162}

Answer:

At this rate, Brian plans 10/162 of his shirt.

8 0
3 years ago
Read 2 more answers
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