Need help ASAP plz help

How many solutions does this in quality have? X is less than 5 and X is greater than -1

horsena [70]

This inequality has 5 solutions, 0, 1, 2, 3, 4

5 0

4 years ago

Kylo begins to fill up a bathtub at a steady rate. When the bathtub reaches 50 gallons at 15 minutes, Kylo

attashe74 [19]

Answer:

Please find a visual representation of the scenario generated with MS Excel

Step-by-step explanation:

The given data on how Kylo fills up the bathtub with water are;

The time it takes to fill the bathtub with 50 gallons of water = 15 minutes

The time it takes to drain 30 gallons from the bathtub = 5 minutes

The time it takes to add 5 gallons of hot water = 2 minutes

The time it takes for all the water to drain out = 4 minutes

The given scenario can be represented visually on the coordinate plane, as follows;

The y-axis represents the amount of water in the bathtub in gallons

The x-axis represents the time from the when Kylo begins to fill the bathtub

The coordinates of points in the visual representation of the given scenario are therefore;

At the start, the bathtub is empty;

y = 0, x = 0

Then we have;

$\begin{array}{ccc}The \ Number \ of \ Gallons, \, y &Time &Cumulative \ Time, \, x\\0&0&0\\50&15&15\\20&5&20\\25&2&22\\0&4&26\end{array}$

Plotting the number of gallons and the cumulative time values on MS Excel gives a visual representation of the scenario

5 0

3 years ago

Combine like terms to simplify the expression: 9 + 3b − 1 + 7b − 2 = ______ 9 − 10b 6 + 10b 8 + 10b 16b 9 + 10b

Travka [436]

Answer:6 +10b

Step-by-step explanation:

Like terms 9-1-2 =6 and 3b + 7b = 10b

6 0

3 years ago

Which part of the roman republic was in charge of judging trials

aleksley [76]

Answer:

Praetors

Step-by-step explanation:

The praetors administered civil law and commanded provincial armies, and, eventually, began to act as chief judges over the courts.Praetors were part of the judicial branch, they were elected yearly by the people of Rome, and acted as judges.

3 0

3 years ago

Julia rides her horse 18 km with a constant speed of 6km/hr and another 24 km with a constant speed of 12 km/hr. What is her ave

nlexa [21]

Answer:

8.4 km/hr.

Step-by-step explanation:

We have been given that Julia rides her horse 18 km with a constant speed of 6 km/hr.

Let us find the time taken by Julia to cover a distance of 18 km.

$\text{Time}=\frac{\text{Distance}}{\text{Speed}}$

$\text{Time taken to cover 18 km}=\frac{18\text{ km}}{\frac{6\text{km}}{\text{hour}}}$

$\text{Time taken to cover 18 km}=\frac{18\text{ km}}{6}\times\frac{\text{hour}}{\text{km}}$

$\text{Time taken to cover 18 km}=\frac{18}{6}\times\text{hour}$

$\text{Time taken to cover 18 km}=3\text{ hour}$

We are also told that she rides another 24 km with a constant speed of 12 km/hr.

Let us find the time taken by Julia to cover a distance of 24 km.

$\text{Time taken to cover 24 km}=\frac{24\text{ km}}{\frac{12\text{km}}{\text{hour}}}$

$\text{Time taken to cover 24 km}=\frac{24\text{ km}}{12}\times\frac{\text{hour}}{\text{km}}$

$\text{Time taken to cover 24 km}=\frac{24}{12}\times\text{hour}$

$\text{Time taken to cover 24 km}=2\text{ hour}$

Since we know that $\text{Average speed}=\frac{\text{Total distance}}{\text{Total time}}$ .

Upon substituting our values in above formula we will get,

$\text{Julia's average speed}=\frac{18\text{ km}+24\text{ km}+}{3\text{ hour}+2\text{ hour}}$

$\text{Julia's average speed}=\frac{42\text{ km}}{5\text{ hour}}$

$\text{Julia's average speed}=\frac{8.4\text{ km}}{\text{ hour}}$

Therefore, Julia's average speed is 8.4 km per hour.

5 0

4 years ago