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VladimirAG [237]
3 years ago
12

Heather is filling her new Koi pond with a water hose. After 33 minutes, her pond has 74 gallons water. Her Koi pond holds 480 g

allons of water. She adds another water hose that flows twice as fast. Find the constant of proportionality for the flow rate of the two water hoses combined? (round to nearest tenth)
Mathematics
2 answers:
klio [65]3 years ago
6 0

Answer:

6.7

Step-by-step explanation:

First hose flows 74 gallons in 33 minutes.

Second hose flows twice as fast, so 148 gallons per 33 minutes.

If x is directly proportional to y, then y = kx.

k =  y  /x  =  74 + 148  /33  =  222  /33  = 6.7

aleksklad [387]3 years ago
4 0
Initial flow rate: 74 gallons/33 minutes = 2.24 gallons/minute

 Additional flow rate: 2*74/33 = 4/48 gallons/minute

Total new rate: 3*74/33 = 6.72 gallons/minute

the answer is 6.7
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Answer:

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because they are parallel bases you can compare

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3 years ago
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I thought of a two-digit number. The unit digit of my number is a prime number, and the tens digit is four times as big as the u
sergiy2304 [10]
<h3>Answer:  82</h3>

====================================================

Explanation:

Let A be the tens digit and B be the units digit

We can write the number as AB. So if A = 9 and B = 2 for instance, then the number is AB = 92. Keep in mind I'm not multiplying A and B here.

"The unit digit is a prime" means B could be any of these values {2,3,5,7}. We only list the single digit primes. The value 1 is not prime.

Now multiply each of those items by 4

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Of those results, only 4*2 = 8 leads to a single digit answer.

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3 years ago
Use the quadratic formula to find the solutions to the quadratic equation below 2x^2-5x+5=0
Serggg [28]

Answer:

x = (5 + i sqrt(15))/4 or x = (5 - i sqrt(15))/4

Step-by-step explanation:

Solve for x:

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What is the value of 4 in 0.543
BabaBlast [244]
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M∠A = 40º
denis23 [38]
180-40=140. 140/5 = 28

x= 28

angle B: 5(28) = 140
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180=180
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2 years ago
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