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3 years ago

Including a 19% sales tax, a tailored suit costs $357. Find the original cost of the tailored suit.

Mathematics

1 answer:

WITCHER [35]3 years ago

4 0

Answer:

119/100 = 357/X

Step-by-step explanation:

since 357 is the price with the extra 19% tax, you can put 119 and 357 as numerators in a fraction because thats the price % of total cost with the tax, then have the denominators as the normal price without tax. so 119/100 bc 119 is the total cost % with tax, and 100 as the normal cost %. same for the opposite side, 357/X. 357 being the price with the tax and X being the price without the tax. so you just cross multiply to find X. so 100 × 357 (35,700) then divide the answer of that by 119 (35,700/119) to find X (300)

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Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. We learned about the de

attashe74 [19]

The question is incomplete. Here is the complete question.

Semicircles and quarter circles are types of arc lengths. Recall that an arc is simply part of a circle. we learned about the degree measure of an ac, but they also have physical lengths.

a) Determine the arc length to the nearest tenth of an inch.

b) Explain why the following proportion would solve for the length of AC below: $\frac{x}{12\pi } = \frac{130}{360}$

c) Solve the proportion in (b) to find the length of AC to the nearest tenth of an inch.

Note: The image in the attachment shows the arc to solve this question.

Answer: a) 9.4 in

c) x = 13.6 in

Step-by-step explanation:

a) $\frac{arclength}{2\pi.r } = \frac{mAB}{360}$ , where:

r is the radius of the circumference

mAB is the angle of the arc

arc length = $\frac{mAB.2.\pi.r }{360}$

arc length = $\frac{90.2.3.14.6}{360}$

arc length = 9.4

The arc lenght for the image is 9.4 inches.

b) An arc length is a fraction of the circumference of a circle. To determine the arc length, the ratio of the length of an arc to the circumference is equal to the ratio of the measure of the arc to 360°. So, suppose the arc length is x, for the arc in (b):

$\frac{x}{2.6.\pi } = \frac{130}{360}$

$\frac{x}{12\pi } = \frac{130}{360}$

c) Resolving (b):

x = $\frac{130.12.3.14}{360}$

x = 13.6

The arc length for the image is 13.6 inches.

6 0

3 years ago

Sara and Gordon win some money and share it in the ratio 2:1. Sara gets £28 more than Gordon. How much did they get altogether?

Zinaida [17]

Answer:

Step-by-step explanation:

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3 years ago

4. 46 is what percent of 69?

sergij07 [2.7K]

Answer:

66%(technically 0.66 repeating)

Step-by-step explanation:

We need to figure out what percentage of 69 equates to 46. In other words, we need to figure out what percentage times 69 equals 46:

$percentage*69 = 46$

Now that we formed this equation, we can solve for the percentage as if it was x.

First lets simplfy:

$percentage*69 = 46 -- > 69percentage = 46$

Now we can solve for x just by getting x alone, which means we must remove the coefficent. We can do this by dividing both sides of the equation by 69:

$percentage = \frac{46}{69}$

$percentage=0.66$

Putting this into the form of percentage, we must multiply by 100. Since, the percentage form of a decimal is 100 times bigger(moved up 2 decimal places):

$percentage = 0.66*100$