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3 years ago

A leaky faucet wastes 3,600 gallons of water per year how many quarts of water are wasted per month (1 gallon=4 quarts )

Mathematics

1 answer:

kaheart [24]3 years ago

8 0

Answer:

1200 quarts/month

Step-by-step explanation:

1 gallon = 4 quarts

3600 gallons/year = 14400 quarts/year

14400 quarts/year * 1 year/12 months

1200 quarts/month

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Horizon Cell Company charges $15 fee plus 10 cents per text, t, and unlimited phone calls.

m_a_m_a [10]

Let per text be t
Principal fee=$15
Additional fee per text=10

The expression is

$\\ \sf\longmapsto 15+10(t)$

Or.

$\\ \sf\longmapsto C=15+10t$

8 0

2 years ago

Liam buys a motorcycle for $2,900. Its value depreciates annually at a rate of 12%. At the end of t years, it has a value of les

KIM [24]

It is given in the problem that

Liam buys a motorcycle for $2,900

Its value depreciates annually at a rate of 12%=0.12

At the end of t years, it has a value of less than $2,000

The exponential equation modeling this situation can be written as below

$2900(1-0.12)^t$

The inequality representing its value less than $2,000 can be written as below

$2900(1-0.12)^t$

4 0

3 years ago

Some of the children at a school arrive by car.

scZoUnD [109]

Answer:

74%

Explanation:

You can build a two-way relative frequency table to represent the data:

These are the columns and rows:

Car No car Total

Boys

Girl

Total

Fill the table

30% of the children at the school are boys

Car No car Total

Boys 30%

Girl

Total

60% of the boys at the school arrive by car

That is 60% of 30% = 0.6 × 30% = 18%

Car No car Total

Boys 18% 30%

Girls

Total

By difference you can fill the cell of Boy and No car: 30% - 18% = 12%

Car No car Total

Boy 18% 12% 30%

Girl

Total

Also, you know that the grand total is 100%

Car No car Total

Boy 18% 12% 30%

Girl

Total 100%

By difference you fill the total of Girls: 100% - 30% = 70%

Car No car Total

Boy 18% 12% 30%

Girl 70%

Total 100%

80% of the girls at the school arrive by car

That is 80% of 70% = 0.8 × 70% = 56%

Car No car Total

Boy 18% 12% 30%

Girl 56% 70%

Total 100%

Now you can finish filling in the whole table calculating the differences:

Car No car Total

Boy 18% 12% 30%

Girl 56% 14% 70%

Total 74% 26% 100%

Having the table completed you can find any relevant probability.

The probability that a child chosen at random from the school arrives by car is the total of the column Car: 74%.

That is because that column represents the percent of boys and girls that that arrive by car: 18% of the boys, 56% of the girls, and 74% of all the the children.

8 0

3 years ago

PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!!!!!!!!!!!!!!!!!!!PLSSSSSSS HELPPPPPPP I WILL GIVE BRAINLIESTTTTTTTTTT!!!

Kay [80]

Answer: -3a^5b^6

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Process control is nothing more or less than monitoring quality as the work is being performed. Perhaps the most widely adopted

ella [17]

Answer:

a. Grand Mean = 2.799

b. Standard Deviation = 0.01387

c. Standard Error = 0.0016

d. The range with a Z score of 3 = (2.75739, 2.84061)

Step-by-step explanation:

a. Grand mean :

Given that

Sum of 80 values = 223.91

Total observation = 80

Grand mean = 223.91/80 = 2.799

b. With the excel command "STDEV[range of cells]", we get the standard deviation as = 0.01387

c. Standard error = Standard deviation / root of n

$= 0.01387/\sqrt{80}\\ = 0.0016$

d. The range with a Z score of 3 :

lower limit = mean - (3 * SD) = 2.799 - (0.04161) = 2.75739

upper limit = mean + (3 * SD) = 2.799 + (0.04161) = 2.84061

8 0

3 years ago