(2a/b)^2×-4=(b/2a)^2x-4 find the value of x<br>

Ellie’s bird feeder is shaped like a cone with a height of 24 in. and a radius of 3 in. Packages of bird seed are cylindrical an

love history [14]

The volume of seeds in the package must be equal to the volume of the feeder in order to fill it completely. The volume of the conic feeder is given by:
V(f) = (πr²h)/3
And volume of the cylindrical package is given by:
V(p) = πr²h
Equating the two and substituting values:
(π x 3² x 24)/3 = π x 6² x h
h = 2 inches

3 0

3 years ago

7. Which is the best buy? 6 shirts for $25.50 4 shirts for $18.00 5 shirts for $21

ratelena [41]

5 shirts for $21

the 6 deal would be $4.25 for each shirt

4 deal would be $4.50 for each shirt

and the 5 deal is the cheapest because its $4.20 for each shirt

3 0

3 years ago

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An art teacher had 2/3 gallon of paint to pour into containers. If he poured 1/8 gallon of paint into each container until he ra

Lady_Fox [76]

Ok 2/3 / 1/8 = 2/3 *8 = 16/3. 16/3 is 5.33 which is 5 and a third of a container which is counted in this so 6 is the answer

7 0

4 years ago

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(3 A sum of money doubles itself in 6 years. In how many years, it becomes 5 times?

elena-s [515]

Answer:

In 24 years.

Step-by-step explanation:

Let the sum of money be 100 which amounts to 200 ( doubles itself ) in 6 years time. Interest on 100rs. Is 100. Putting the following in simple interest formula. You get :

$100=\dfrac{100\times R\times 6}{100}\\\\R=\dfrac{100}{6}$

Now when 100 will become 5 times i.e 500 the interest will be 400rs.

Putting in simple interest formula:

$400=\dfrac{\dfrac{100\times 100}{6T}}{100}\\\\T=\dfrac{2400}{100}\\\\=24\ yrs$

So, in 24 years, it will become 5 times.

4 0

3 years ago

A swimming pool is being filled at the rate of 54 pt/min (pints per minute). How many quarts per hour is this?

Rainbow [258]

Answer:

Approximately $1620\; \text{quart} / \text{hour}$ .

Step-by-step explanation:

The given quantity was in the unit $\displaystyle \frac{\text{pint}}{\text{minute}}$ while the required quantity should have the unit $\displaystyle \frac{\text{quart}}{\text{hour}}$ . It would thus be necessary to use conversion factors of the following forms:

$\begin{aligned}\frac{\text{pint}}{\text{minute}} \times \underbrace{\frac{\text{minute}}{\text{hour}} \times \frac{\text{quart}}{\text{pint}}}_{\text{conversion factors}} &= \frac{\text{quart}}{\text{hour}} \end{aligned}$ .

Make use of the fact that:

$1\; \text{pint} = 0.5\; \text{quart}$ , and
$60\; \text{minute} = 1\; \text{hour}$ .

Rearrange the equation $1\; \text{pint} = 0.5\; \text{quart}$ to obtain the conversion factor:

$\begin{aligned} 1 &= \frac{0.5\; \text{quart}}{1\; \text{pint}}\end{aligned}$ .

Similarly, rearrange the equation $60\; \text{minute} = 1\; \text{hour}$ to obtain the conversion factor:

$\begin{aligned} 1 &= \frac{1\; \text{hour}}{60\; \text{minute}}\end{aligned}$ .

Combine both conversion factors and evaluate:

$\begin{aligned} & 54\; \frac{\text{pint}}{\text{minute}} \\ =\; & 54\; \frac{\text{pint}}{\text{minute}} \times \frac{0.5\; \text{quart}}{1\; \text{pint}} \times \frac{60\; \text{minute}}{1\; \text{hour}} \\ =\; & (54 \times 0.5 \times 60) \; \frac{\text{pint} \times \text{quart} \times \text{minute}}{\text{minute} \times \text{pint} \times \text{hour}} \\=\; & 1620\; \frac{\text{quart}}{\text{hour}}\end{aligned}$ .

5 0

2 years ago

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(2a/b)^2×-4=(b/2a)^2x-4 find the value of x​

(2a/b)^2×-4=(b/2a)^2x-4 find the value of x