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2 years ago

Zack drank half of the water in his 1-liter water bottle after his run.

Mathematics

2 answers:

lilavasa [31]2 years ago

6 0

Answer:

500mL.

Step-by-step explanation:

1L = 1,000mL

1,000mL divided by 2 or 1/2L = 500mL

I hope it helps!

mel-nik [20]2 years ago

6 0

1 liter has 1000ml so half of that would be 500 ml.

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If tatianna works 3hrs a day on school days and make $123.75 a week what is her hourly rate?

madreJ [45]

Answer:

Her hourly rate is $8.25

Explanation:

Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week

We know that:

There are 5 school days in a week

We are given that:

She works for 3 hours a day each of those days

Therefore:

Total number of hours worked = hours worked daily * number of days

Total number of hours worked = 3 * 5 = 15 hours in a week

The equation used to calculate Tatianna's earnings is:

Amount she makes in a week = Total number of hours worked * hourly rate

Now, we substitute with the givens to get the hourly rate as follows:

Amount she makes in a week = Total number of hours worked * hourly rate

123.75 = 15 * hourly rate

Hourly rate = $8.25

6 0

3 years ago

When planning a date night, you have a choice of 2 types of restaurants: pizza (P) or barbeque (B); a choice of 3 types of movie

enot [183]

Answer:

$S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}$

Step-by-step explanation:

Given

$Restaurant = \{P,B\}$

$Movies = \{R,A,D\}$

$Post-movie = \{C,I\}$

Required

List out the sample space

To do this, we simply pick 1 item in each category, without repetition.

So, we have:

$S = \{PRC, PRI,PAC,PAI,PDC,PDI,BRC, BRI,BAC,BAI,BDC,BDI\}$

4 0

3 years ago

An isosceles triangle has a perimeter of 18 cm. Find a function that models its area A in terms of the length of its base b.

IgorLugansk [536]

So.... notice the picture below

now, we know what the "height" or "altitude" is
now, we also know the perimeter is 18cm

so, k + k + b = 18
or 2k + b = 18
thus $\bf k=\cfrac{18-b}{2}$

so... one can say that $\bf \textit{area of a triangle}=A=\cfrac{1}{2}bh\qquad 
\begin{cases}
b=b
\\\\
h=\sqrt{k^2-\left( \frac{b}{2} \right)^2}
\\\\
h=\sqrt{k^2-\frac{b^2}{4}}\\
--------------\\
k=\frac{18-b}{2}\qquad thus\\
--------------\\
h=\sqrt{\left( \frac{18-b}{2} \right)^2-\frac{b^2}{4}}
\end{cases}\\\\
-----------------------------\\\\
A=\cfrac{1}{2}\cdot b\cdot \sqrt{\left( \frac{18-b}{2} \right)^2-\frac{b^2}{4}}$

and you can simplify it if you wish.. not sure you have to