What's the answer and please show work

It takes a hose 5 minutes to fill a rectangular aquarium 11 inches long, 13 inches wide, and 14 inches tall. how long will it ta

Karolina [17]

Volume of 1st aquarium = 11 * 13 * 14 = 2002
volume of 2nd aquarium = 21 * 14 * 30 = 8820

if 5 minutes = 2002
1 minute = 2002\5 = 400.4

minutes to fill the 2nd aquarium is 8820/400.4 = 22.028(approximately)

7 0

3 years ago

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The ratio of boys to girls in Mr. Yang's class is 4:3. If there are 16 boys in the class, how many girls are there? O A. 8 girls

Varvara68 [4.7K]

Answer: B. 12 girls

Step-by-step explanation:

Since the ratio is 4:3 we can multiply both sides by 4 to get 16 boys and the equivalent number of girls for this problem, 16:12

8 0

3 years ago

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Ratio And Rates. Each ratio or rate needs to be a fraction in simples terms 1. 30 ft. To 60.Ft 2. 51 males to 21 females 3. 1,50

otez555 [7]

Given:

The ratio and rates:

1. 30 ft. To 60.Ft

2. 51 males to 21 females

3. 1,500 meters in 6 seconds

4. $36 for 4 rounds of shrimp

To find:

The fraction in simple terms for the given ratio and rates.

Solution:

1. 30 ft. To 60.Ft

$\dfrac{30\text{ ft}}{60\text{ ft}}=\dfrac{1}{2}$

2. 51 males to 21 females

$\dfrac{51}{21}=\dfrac{17}{7}$

3. 1,500 meters in 6 seconds

$\dfrac{1500\text{ meters}}{6\text{ seconds}}=250\text{ meter/second}$

4. $36 for 4 rounds of shrimp

$\dfrac{\$ 36}{4}=\$ 9\text{ per round of shrimp}$

4 0

3 years ago

A car dealership sells SUVs and passenger cars . For a recent year, 80 more SUVs were sold than passenger cars. If a total of 51

MAVERICK [17]

Answer:

295 SUVs were sold, and 215 passenger vehicles.

Step-by-step explanation:

Let s and p represent the number of SUVs and p the number of passenger cars.

Then s = p + 80 and s + p = 510.

Substitute p + 80 for s in the second equation, obtaining:

p + 80 + p = 510, or:

2p = 430

Dividing both sides by 2 isolates p: p = 215.

Since s = p + 80, we add 80 to 215 here, obtaining s = 295.

295 SUVs were sold, and 215 passenger vehicles.

3 0

3 years ago

A board of length 7 divided by the quantity x minus 2 end of quantity meters was cut into two pieces. If one piece is 3 divided

bulgar [2K]

Answer:

Length of other board $=\frac{4x+20}{x^{2} -4}$ metres

Step-by-step explanation:

Given: Length of board = $\frac{7}{x-2}$ metres

Length of board was divided into two.

Length of one piece = $\frac{3}{x+2}$ metres

Let $l$ = length of the other board

Length of the other board = Length of board - Length of one piece

So, $l=\frac{7}{x-2}-\frac{3}{x+2}$

$l=\frac{7(x+2)-3(x-2)}{(x-2)(x+2)} \\\\l=\frac{7x+14-3x+6}{x^{2} -4} \\\\l=\frac{4x+20}{x^{2} -4}$

Thus, length of the other board $=\frac{4x+20}{x^{2} -4}$ metres

4 0

3 years ago