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Vinvika [58]
3 years ago
8

The fish tank in Paul's bedroom has a pump that will recirculate 75 gallons of water in 1/4 of an hour. Find the unit rate in ga

llons per hour.
a. 5 gallons per hour
b. 18.75 gallons per hour
c. 300 gallons per hour
d. 187.5 gallons per hour
Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0
We know that
(1/4) hour---------> 0.25 hour
if the pump r<span>ecirculate 75 gallons of water in -------------> 0.25  hour
 X </span>gallons of water in-----------------------------------------> 1 hour

X=75/0.25----------> x=300 gallons /hour

the answer is 300 gallons /hour
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Rajeev walked 7/8 of a mile in 1/4 of an hour. What was the speed in miles per hour?
PtichkaEL [24]

Answer:

<u>Rajeev walked at 3.5 miles per hour of speed</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Distance Rajeev walked = 7/8 of a mile = 0.875 miles

Time of walking = 1/4 of an hour = 15 minutes

2. What was the speed in miles per hour?

Let's use the Direct Rule of Three for answering this question, as follows:

Distance in miles     Time in minutes

           0.875                      15

              x                           60

*************************************************

15x = 0.875 * 60

15x = 52.5

x = 52.5/15

x = 3.5

<u>Rajeev walked at 3.5 miles per hour of speed</u>

5 0
3 years ago
Jenny had 7 dimes and 3 pennies in her She takes a coin out from her pocket, looks at the coin and then replaces it her pocket b
alisha [4.7K]
<h3>Answer:     49/100</h3>

=========================================================

Explanation:

There are 7 dimes and 3 pennies, leading to 7+3 = 10 coins total.

The probability of not picking a penny is 7/10. If the first coin is put back, then the probability doesn't change for the second selection.

The probability of getting two dimes is (7/10)*(7/10) = 49/100 when the first coin is replaced.

If the first coin is not replaced, then the answer would be (7/10)*(6/9) = 42/90 = 7/15

4 0
3 years ago
Suppose y varies directly with x. When<br> X is 2, y is 10. What is y when x is 4?
melomori [17]
X:y

2/10 = 4/x

Cross multiply

2x X= 10x4

2x = 40

Eliminate

2x/2 = 40/2

x = 20
6 0
3 years ago
Please right no link or bot
Leya [2.2K]

Answer:

36

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
A home security company plans to open a calling center to respond to customer calls and
Romashka-Z-Leto [24]

Answer:

x+y\geqslant 12

x+2y\leqslant 20

Step-by-step explanation:

<u>Inequalities </u>

The home security company will choose between two options for cubicles: the small cubicle for only one operator and the large cubicle to hold 2 operators. Let x be the number of small cubicles and y the number of large cubicles. Since each small cubicle has 49 square feet, the total area occupied by them will be 49x. Each large cubicle occupies 80 square feet, so the y cubicles use 80y square feet. The total area used by them is

Area=49x+80y

Assuming there is no operator without cubicle and all cubicles are fully occupied, the number of operators will be

Operators=1x+2y=x+2y

The number of cubicles is

# cubicles=x+y

The conditions of the problem state that

x+y\geqslant 12

x+2y\leqslant 20

7 0
3 years ago
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