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jek_recluse [69]
3 years ago
12

It takes 45 min for Faucet A to fill a tank, and it takes Faucet B 63 min. How many minutes will it take the two faucets to fill

the tank together?
Mathematics
1 answer:
ANTONII [103]3 years ago
6 0

Answer:

the total minutes taken together is 26.25 minutes

Step-by-step explanation:

The computation of the number of minutes that required to fill the tank together is shown below:

\frac{1}{45} + \frac{1}{63} = \frac{1}{x}\\\\\frac{7 + 5 }{315} = \frac{1}{x} \\\\\frac{12}{315} = \frac{1}{x} \\\\12x = 315\\x = 26.25minutes

Hence, the total minutes taken together is 26.25 minutes

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Jessa had 23 one dollar bills that she wants to divide equally between her 5 children. How much money will each receive? How muc
vazorg [7]

Answer:

$4.06

Step-by-step explanation:

23 / 5 = 4

Remainder = 3

$3 into dimes = 30 dimes

30 / 5 = 6

$4 + €6 = $4.06

6 0
3 years ago
Tyler went to the super market to buy food for a pantry. He has $36, and can carry up to 20pounds of food in his backpack. One p
AleksAgata [21]

This question is incomplete

Complete Question

Tyler went to the supermarket to buy food for a food pantry. He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar. Let x = the number of packages of pasta and y = the number of jars of pasta sauce. One package of pasta is the right amount to go with one jar of pasta sauce. What is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry? Explain your reasoning.

Answer:

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

Step-by-step explanation:

Let

x = the number of packages of pasta

y = the number of jars of pasta sauce.

He has $36, and can carry up to 20 pounds of food in his backpack. Pasta costs $1 for a 1-pound package. Pasta sauce costs $3 for a 1.5 pound jar.

x + 1.5y ≤ 20....... Equation 1

x = 20 - 1.5y

x × $1 + y × $3 = $36

x + 3y ≤ 36..... Equation 2

20 - 1.5y + 3y = 36

-1.5y + 3y = 36 - 20

1.5y = 16

y = 16/1.5

y = 8

And x = 8

Therefore,

Eight is the best numbers of packages of pasta and jars of pasta sauce to buy for the food pantry.

6 0
3 years ago
Solve for the value of f: ½(6 + 4) + 5f = 10
ss7ja [257]

Answer:

  1. Start by combing any like variable and distributing the values.
  2. 5+5f=10
  3. 5f=5
  4. f=1
8 0
3 years ago
Duke pays $111.60 for his yearly movie pass plus $4.00 for popcorn for each movie.Tenneshia pays $16.40 for a ticket to every mo
melamori03 [73]

Answer:

After 9 movies they will have paid the same amount

Step-by-step explanation:

We must write an equation for Duke's expenses and an equation to represent Tennessee's expenses.

<u>For Duke expenses we have:</u>

A fixed expense of $ 111.60 per year

A variable expense of $ 4.00 for each movie.

The equation that represents the expenses is a linear equation like the one shown below

C = 111.60 + 4.00x

Where C represents the cost and x the number of movies.

<u>For Tennessee expenses we have:</u>

A variable expense of $ 16.40 for each film.

The equation that represents the expenses is a linear equation like the one shown below

C = 16.40x

Where C represents the cost and x the number of movies.

To know after how many movies have paid the same amount, we equate both equations and solve the variable x

111.60 +4.00x=16.40x\\\\16.40x - 4x = 111.60\\\\12.40x =111.60\\\\x =\frac{111.60}{12.40}\\\\x =9

After 9 movies they will have paid the same amount

5 0
3 years ago
What is 0.22 in fraction​
Shtirlitz [24]

Answer:

unsimplified: 22/100 & simplified: 11/50

Step-by-step explanation:

For example:

0.30 would be 30/100 or 3/10

3 0
3 years ago
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