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Nina [5.8K]
3 years ago
11

An aquarium, initially containing 60 gallons of water, is being drained for cleaning. After minutes the amount of water that has

been drained from thevtank is 4/3t, and the amount remaining in the tank is 60 -4/3t. Express the ratio cof the amount of wster remaining to the amount of water that has been drained as a rational function, and simplify
​

Mathematics
2 answers:
andreyandreev [35.5K]3 years ago
6 0

Answer:

B. 45-t/t

Step-by-step explanation:

An quarium, initially containing 60 gallons of water, is being drained for cleaning. After minutes the amount of water that has been drained from thevtank is 4/3t, and the amount remaining in the tank is 60 -4/3t. The ratio of the amount of wster remaining to the amount of water that has been drained as a rational function, and simplified is, 45-t/t.

Cloud [144]3 years ago
5 0

Answer:

  b.  (45 -t)/t

Step-by-step explanation:

c = remaining/drained

c = (60 -4/3t)/(4/3t) . . . . fill in values from problem statement

c = (45 -t)/t

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Answer:

$16.20

Step-by-step explanation:

3x5=15 15x.08=1.2 15+1.2=16.2

7 0
3 years ago
Read 2 more answers
Tamira invests $5,000 in an account that pays 4% annual interest. How much will there be in the account after 3 years if the int
Talja [164]

Answer:

There will be $5624.32 in the account after 3 years if the interest is compounded annually.

There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.

There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.

There will be $5636.359 in the account after 3 years if the interest is compounded monthly

Step-by-step explanation:

Tamira invests $5,000 in an account

Rate of interest = 4%

Time = 3 years

Case 1:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 1

Formula :A=P(1+r)^t

A=5000(1+0.04)^3

A=5624.32

There will be $5624.32 in the account after 3 years if the interest is compounded annually.

Case 2:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 2

Formula : A=P(1+\frac{r}{n})^{nt}

A=5000(1+\frac{0.04}{2})^{2 \times 3}

A=5630.812

There will be $5630.812 in the account after 3 years if the interest is compounded semi-annually.

Case 3:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 4

Formula : A=P(1+\frac{r}{n})^{nt}

A=5000(1+\frac{0.04}{4})^{4 \times 3}

A=5634.125

There will be $5634.125 in the account after 3 years if the interest is compounded quarterly.

Case 4:

Principal = 5000

Rate of interest = 4%

Time = 3 years

No. of compounds per year = 4

Formula :A=P(1+\frac{r}{n})^{nt}

A=5000(1+\frac{0.04}{12})^{12 \times 3}

A=5636.359

There will be $5636.359 in the account after 3 years if the interest is compounded monthly

8 0
4 years ago
Is the given number a solution of an equation or inequality 3x-4=10;5
kotykmax [81]

The given number is not a solution of the equation i.e. the number is an inequality

<h3>How to determine the solution?</h3>

The equation is given as:

3x- 4 = 10

The number is given as:

5

This means that

x = 5

Substitute x = 5 in 3x- 4 = 10

3 * 5- 4 = 10

Evaluate the product

15- 4 = 10

Evaluate the difference

11 = 10

The above equation is not true i.e. the equation is actually an inequality

Hence, the given number is not a solution of the equation i.e. the number is an inequality

Read more about inequality at

brainly.com/question/24372553

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7 0
2 years ago
How many 3/4-cup servings are in 1/2 of a cup of milk? Write your answer in simplest form. Write your answer in a fraction.
GalinKa [24]

Answer:

3/8

Step-by-step explanation:

The question requires that we find the amount of 3/4 cup servings in 1/2 cup of milk

= 3/4 × 1/2

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Hence the amount of cup servings is 3/8

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3 years ago
Find the midpoint of AB for: A(7,0)|and B(0,3)​
liberstina [14]

Answer:

\boxed {\boxed {\sf (\frac {7}{2}, \frac{3}{2}) \ or \ (3,5, 1.5) }}

Step-by-step explanation:

The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.

The formula is:

(\frac {x_1+x_2}{2}, \frac{y_1+y_2}{2})

We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).

Therefore,

x_1= 7 \\y_1=0 \\x_2=0 \\x_2=3

Substitute the values into the formula.

(\frac {7+0}{2}, \frac{0+3}{2})

Solve the numerators first.

(\frac {7}{2}, \frac{3}{2})

The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.

(3.5, 1.5)

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3 years ago
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