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tekilochka [14]
2 years ago
8

Brian bought a coat at 5% off of the original price of $60. Which process can Brian use to find the amount of his discount?​

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
6 0

Answer:

Not sure which "process" it is. But discount amount is $3 (new price would be 57)

Step-by-step explanation:

  1. Equation would start with 5% x 60
  2. 5% would be equivalent to the fraction 5/100
  3. Take 5/100 and multiply 60
  4. (60 x 5)/100 = 3 <--<em> discount amount</em>
  5. Take $3 off $60 and the new price is $57
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Answer: $15.75

Step-by-step explanation:

$78.75/5 hr=$15.75/hr

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What is the measure of ABC?​
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Answer:

the answer to it is A. 75

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In □PQRS side PQ∥ side RS. If m∠P = 108degree
natka813 [3]

<h2>Given :-</h2>

In □PQRS side PQ∥ side RS. If m∠P = 108degree

and m∠R = 53degree

<h2>To Find :-</h2>

m∠Q and m∠S.

<h2>Solution :-</h2>

According to angle sum property

P∠Q=180−∠P

∠Q=180−108

\boxed{\sf{\angle Q = 72°}}

For angle S

∠S=180−∠R

∠S=180−53

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Shade 1/3 of this pie
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Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work​ together, it takes them 2 hours. How
aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood  = K hrs

So, the per hour rate of Dwight  = (\frac{1}{K})

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood  = (K- 3) hrs

So, the per hour rate of Joe  = (\frac{1}{K-3})

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them  = (\frac{1}{2})

⇒ Per hour rate of ( Dwight  + Joe)  =(\frac{1}{2} )

\implies (\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})

Now, solving for the value of K , we get:

(\frac{1}{K}) +  (\frac{1}{K-3}) = (\frac{1}{2})\\\implies  \frac{(K-3) + K}{K (K-3)}  = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K  + 6=  0\\\implies K^2 - 6K - K  + 6=  0\\\implies K(K-6) -1(K - 6)=  0\\\implies (K-6)(K-1) = 0

Implies either K = 6 Or K = 1

But if K = 1, (K-3)  = 1- 3  = -2 hours would be A CONTRADICTION.

⇒ K  = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0
2 years ago
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