How do I solve this?

A water tank already contained 24 gallons of water before a pump was switched to fill it. The pump started at 10:00 am and by 10

grigory [225]

Answer:

The equation to represent the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours can be given as:

$W=32T+24$

Step-by-step explanation:

Given:

Water tank initially contained = 24 gallons of water

The pump to fill the tank was switched to fill it.

From 10:00 AM to 10:30 AM the tank contained 40 gallons of water.

By 1:00 PM the tank contained 120 gallons of water.

To write an equation which will tell the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours

Solution:

Initially, gallons of water in tank = 24

From 10:00 AM to 10:30 AM the tank had 40 gallons of water.

Thus, in half an hour the pump filled = $40-24$ = 16 gallons

Using unitary method:

If in $\frac{1}{2}$ of an hour water filled = 16 gallons

So, in 1 hour the water filled will be = $16\times 2$ = 32 gallons

In 3 hours the water filled will be = $32\times 3$ = 96 gallons

Thus, by 1:00 PM the water in the tank will be = $96+24$ = 120 gallons

This confirms the data given for 1:00 PM.

This shows that the rate at which the pump fills the tank is 32 gallons of water per hour.

The equation to represent the amount of water that the tank contains $(W)$ after the pump was working for $T$ hours can be given as:

$W=32T+24$

4 0

3 years ago

The following data represent the monthly phone use, in minutes, of a customer enrolled in a fraud prevention program for the pas

Illusion [34]

Answer:

The answer is "717.25 minutes".

Step-by-step explanation:

In this question first, we arrange the value in ascending order that are:

307,311,321,322,354,363,377,406,425,435,461,464,474,499,505,513,517,534,548

The median is always in an orderly position that is $= \frac{(n+1)}{2}$ .

$\to \frac{(n+1)}{2} = \frac{(20+1)}{2} = 10.5$ position orders

$10^{th} \ and \ 11^{th}$ place an average of observations so, the

$Average = \frac{(425 +435)}{2} = \frac{(860)}{2} =430$

Because as medium stands at 10.5 that median is as below 10 are greater than the level.

$Q_1$ often falls throughout the ordered BELOW average is $= \frac{(n+1)}{2}$ place.

$\to \frac{(n+1)}{2} = \frac{(10+1)}{2} = 5.5^{th}$ ordered position

Average $5^{th} \ and \ 6^{th}$ location findings

$Q_1 = \frac{(354+363)}{2} = \frac{(717)}{2}= 358.5$

In $= \frac{(n+1)}{2}$ the ordered place, Q3 always falls ABOVE the median.

$\to \frac{(n+1)}{2} = \frac{(10+1)}{2} = 5.5^{th}$ ordered At median ABOVE

Consequently $Q_3$ falls between $5^{th} \ and \ 6^{th}$ ABOVE the median position

$15^{th}\ and \ 16^{th}$ place average of observations

$\to Q_3 = \frac{(499+505)}{2}=\frac{(1004)}{2} = 502$

$\to IQR = Q_3 - Q_1= 502-358.5= 143.5$

$\to \text{Upper fence} = Q_3 + 1.5 \times IQR= 502 + 1.5 \times 143.5 = 717.25$

4 0

2 years ago

How many times does a dragonfly's wing beat per minute

marshall27 [118]

<span>A dragonfly beats its wings about 30 times a second. This is necessary to allow the insect to keep itself airborne, due to the relative weight of its body. Luckily, dragonflies have two sets of wings, or they would have to work even harder to stay up in the air.</span>

5 0

3 years ago

How many whole numbers are less than n+1? WILL GIVE BARINALIEST TO WHOEVER ANSWERS FIRST AND IS CORRECT

olga2289 [7]

Answer:

0

Step-by-step explanation:

8 0

3 years ago

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Which shows all the equations that represent

Arturiano [62]