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VladimirAG [237]
3 years ago
10

A soup recipe calls for 6 cups of broth a chef will triple this recipe he wants to know how many quarts of broth he will need

Mathematics
1 answer:
Vikki [24]3 years ago
8 0

Answer: 4.5 quarts

Step-by-step explanation:

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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
3 years ago
Darius deposits $300 into a new savings account. The account earns simple interest at a rate of 2.18% annually. How much money d
Mila [183]
He will have $306.54
3 0
3 years ago
$668 at 9.25% for 5 years
madreJ [45]

Answer:

$21.17

Step-by-step explanation:

Simple Interest=P(1+r)^t

Compounded Interest=P(e^rt)

SI=668*(1.0925)^5

SI=1039.64

CI=668(e^(0.0925*5))

CI=1060.81

1060.81-1039.64=21.17

So the difference is $21.17, thus doing compounded interest is better.

8 0
3 years ago
I have a super hard question and i need help<br><br> what is <img src="https://tex.z-dn.net/?f=5%5E%7B2%7D" id="TexFormula1" tit
Nastasia [14]

Answer:

5^{2} = 25 :) hope this helps

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is the angular size of Mars, as seen from the Earth, when it was closest to the Earth?
lesantik [10]

The angular size of Mars, as seen from the Earth, when it was closest to the Earth is 25 arcseconds.

<h3>What is angular size?</h3>

It should be noted that angular size is the object's apparent size as seen from an observer on Earth.

At its closest approach, the angular size of Mars is 25 arcseconds. This was known through the use of a telescope.

Learn more about Mars on:

brainly.com/question/644043

#SPJ1

5 0
2 years ago
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