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egoroff_w [7]
3 years ago
14

Noel Magee purchased a micro-cut shredder at a sale price of $179.99. The regular selling price is $199.99. He also purchased a

photo-smart printer at 25% off the regular price of $499.99. A. What is the markdown on the shredder? B. What is the markdown on the printer?
Mathematics
1 answer:
Annette [7]3 years ago
5 0

Answer:

a) 10% off or $20 off

b) 25% off or $124.99 off

Step-by-step explanation:

In order to find the markdown on the shredder we simply need to divide the sale price by the original price. Once we have that we subtract that decimal from 1 and multiply by 100 to get the markdown percentage. We can also subtract the original price from the sales price to get the markdown dollar value.

179.99 / 199.99 = 0.899

(1 - 0.899) * 100 = 10%

199.99 - 179.99 = $20

Now, for the printer we are provided the markdown perentage so to find the markdown dollar value we need to divide the perentage by 100 to turn it into a decimal and multiply that decimal by the regular price of the printer. We can also subtract the markdown dollar value from the original price to get the sale price...

25% / 100 = 0.25

0.25 * 499.99 = 124.99

499.99 - 124.99 = $375

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Answer:

A) Quincy should buy 22 rolls

B) 43 rolls

C) she needs to buy 19 rolls of ribbon.

Step-by-step explanation:

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yards of ribbon = 322

ribbon comes in rolls= 15

Quincy should buy  = 322/15 = 21.46

Quincy should buy 22 rolls

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Twice the length of 322 yards is 644 yards. If I divide 644 by 15, the answer is 42 r 14. Because there is a remainder, we need to round the quotient up to 43.

Alice needs to buy 43 rolls of ribbon.

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If we divide the total amount of ribbon, 285, by the amount of ribbon in each roll, 15, we get:

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Answer: \frac{\pi }{3}

<u>Step-by-step explanation:</u>

cot is \frac{cos}{sin} on the Unit Circle. When is cos = \frac{1}{2} and sin = \frac{\sqrt{3}} {2}?  In other words, where is the coordinate (\frac{1}{2},\frac{\sqrt{3}} {2}) on the Unit Circle?

It occurs at 60° = \frac{\pi }{3} radians

**************************************************************************************

Answer: cot θ

<u>Step-by-step explanation:</u>

  sec (90 - θ) * cos θ

= \frac{1}{cos (90 -\theta)} * cos θ

= \frac{cos\theta}{cos(90 - \theta)}

= \frac{cos\theta}{cos90*cos\theta+sin90*sin\theta}

= \frac{cos\theta}{0*cos\theta+1*sin\theta}

= \frac{cos\theta}{sin\theta}

= cot θ

**************************************************************************************

Answer: BC = √5, AC = 2√5

<u>Step-by-step explanation:</u>

\frac{\pi} {3} = 60°, which means ΔABC is a 30°-60°-90° triangle so we can use the side length formulas: x - x√3 - 2x.

∠C is the 60°. It matches to side AB so: AB = x√3 = √15   ⇒   x = √5

∠A is the 30°. It matches to side BC so: BC = x = √5

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**************************************************************************************

Answer: k = 4, RS = 12, QS = 28

<u>Step-by-step explanation:</u>

\frac{QR}{MN} = \frac{RS}{NO}= \frac{QS}{MO}

\frac{24}{6} = \frac{RS}{3}= \frac{QS}{7}

proportionality constant k can be found with \frac{QR}{MN} = \frac{24}{6} = 4

\frac{QR}{MN} = \frac{RS}{NO}

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→ 4(3) = RS

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\frac{QR}{MN} = \frac{QS}{MO}

→ 4 = \frac{QS}{7}

→ 4(7) = QS

→ 28 = QS


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