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pentagon [3]
3 years ago
5

What is the prime factorization of 9

Mathematics
1 answer:
melisa1 [442]3 years ago
5 0

Answer:3^2

Step-by-step explanation:

Find prime numbers that go into nine.

3 goes into to 9 3 times. 3 is a prime number so the prime factorization for nine is

3*3=3^2

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Wasted Water A faucet leaks 1 oz of water per minute. a) How many gallons of water are wasted in a year? (A gallon contains 128
dimaraw [331]

Answer:

a) 4106.25 gallons

b) $46          

Step-by-step explanation:

We are given the following in the question:

Leakage rate of faucet = 1 oz per minute

Cost of water = $11.20 per 1000 gallons

1 gallon = 128 oz

a) water are wasted in a year

1 hour = 60 minutes

1 day = 24 hours

1 year = 365 days

1\text{ year} = 365\times 24\times 60\text{ minutes}\\1\text{ year} = 525600\text{ minutes}

Amount of water wasted =

\text{Leakage rate}\times \text{Time}\\=1 \times 525600\\=525600\text{ oz}\\\\=\dfrac{525600}{128}\\\\=4106.25\text{ gallons}

Thus, 4106.25 gallons of water is wasted every year.

b) additional money spent

=\time{Cost}\times \text{Amount of water wasted}\\\\= \dfrac{11.20}{1000}\times 4106.25\\\\=45.99\$ \approx 46\$

Thus, approximately $46 is the additional money spent on water bill.

4 0
3 years ago
Can someone help me with the bottom questions on #1-3 that are blank please?
posledela

numbers 1-3

1. 1/2

1/2

1/3

2. 1/4

1/3

The blue rhombus is what fractional part of the yellow hexagon? The green triangle is ... green will be 2/3.

3. 1/6

triangle

is 1/6 of. is 2 times (twice). More Pattern Block Relationships. is ½ of. is 3 times ... will be 2/3

7 0
4 years ago
1
Sergeu [11.5K]

Answer:

9C=5(F-32)

Step-by-step explanation:

The equation which can convert the temperature from degree Celsius into degree Fahrenheit is given as under

9C=5(F-32)

We can solve it further for F as

9C=5F-5 \times 32

9C=5F-160

9C+160=5F

Dividing both sides by 5 we get

\frac{9C}{5}+32=F

F=\frac{9C}{5}+32

Now substituting values of C in this equation will give us the corresponding values of F

Ex : C=1

F=\frac{ 9\times 1}{5}+32

F=\frac{ 9+160}{5}

F=\frac{ 169}{5}

Hence 1 degree Celsius is \frac{ 169}{5} degree Fahrenheit

4 0
3 years ago
Plzzzz... tell fast​
blondinia [14]

Answer:

its 4x

Step-by-step explanation:

5 0
3 years ago
A spinner has three unusual sections: red, yellow, and blue.. The table shows the results of Nolan’s spins. Find the probability
Anika [276]

Answers:

  • Red = 1/3
  • Yellow = 7/15
  • Blue = 1/5

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

Explanation:

Add up all the frequencies in the table to see that there are 120+168+72 = 360 spins total.

  • Of those 360 spins, 120 of them land on red. The probability of landing on red is 120/360 = (120*1)/(120*3) = 1/3
  • Since 168 land on yellow, this means the probability of landing on yellow is 168/360 = (24*7)/(24*15) = 7/15
  • Lastly, we have 72 occurrences of blue out of 360 total spins. The probability of landing on blue is 72/360 = (72*1)/(72*5) = 1/5
4 0
3 years ago
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