Match the statements on the left with the symbolic notations in the right

Chloe answered 42 of the 50 questions correctly. Express this amount as a percent and a decimal

Oxana [17]

It would be 21 as a percent and 0.21 as a decimal

4 0

3 years ago

Jada walks up to a tank of water that can hold up to 10 gallons.When it is active, a drain empties water from the tank at a cons

worty [1.4K]

Answer:

Part A)The amount of water in the tank is changing at -2/3 gallons per minute. 

Part B) it will take 7.5 minutes for the tank to drain completely.

Part C) The water tank was completely full 4.5 minutes before Jada arrived.

Step-by-step explanation:

Information fetching:

Tank of water can hold up-to 10 gallons.

When it is active, a drain empties water from the tank at a constant rate.
7 gallons of water present in the tank when Jade first saw
5 gallons of water left after 3 minutes

Part A) At what rate is the amount of water in the tank changing?

As the gallons were decreased from 7 to 5 in three minutes. It means in three minutes, 2 gallons were decreased.

So, gallons per minute change would be -2/3 gallons per minute. Hence, the amount of water in the tank is changing at -2/3 gallons per minute. 

Note: negative sign indicates the number of gallons of water are decreasing.

Part B) How many more minutes will it take for the tank to drain completely.

Let 'm' be the number of minutes will it take for the tank to drain completely.

As,

(2/3 gallons per minute) (m minutes) = 5 gallons

So,

m = 5 (3/2)

= 15/2

= 7.5 minutes

So, it will take 7.5 minutes for the tank to drain completely.

Part C) How many minutes before Jada arrived was the water tank completely full

As tank of water can hold up to 10 gallons. So, the tank of water is full when there is 10 gallons of water. So, this is 3 gallons of water more than the total 7 number of gallons at the time when Jada arrived.

As Jada arrived when the tank had left 7 gallons.

Let 'm' be the number of minutes before Jada arrived when the water tank was completely full.

So,

(2/3) (m) = 3

m = 3(3/2) = 9/2

= 4.5 minutes

So, the water tank was completely full 4.5 minutes before Jada arrived.

Keywords: time rate of change, time

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3 0

4 years ago

Find the value of x.

andrey2020 [161]

Answer:

sum of an exterior angle is 360

2x+56+85+57+4x=360

6x+198=360

6x=360-198

6x=162

x=162/6

x=27

7 0

2 years ago

Find the equation of the line shown

Finger [1]

Answer:

y=x+1

Step-by-step explanation:

As you can see, the slope is clearly 1 and the line starts at (0, 1), which is its y-intercept.

Plug the variables into this formula: y=mx+b, then you will get y=x+1.

3 0

3 years ago

Elena’s bus runs every 20 minutes. If she arrives at her bus stop at a random time, what is the probability that she will have t

Bond [772]

We try to represent the data in segments from 0 to 20.
The length of the line segment along the number line from 0 to 5 is 5 - 0 = 5 units. The length of the line segment along the number line from 20 to 5 is 20 - 5 = 15 units. If you were to randomly throw a dart on this number line, then the probability of landing in the shaded region is 15/20 = 3/4 or 75%

6 0

3 years ago

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