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MrRa [10]
3 years ago
11

Each year, roughly 10^6 computer programmers each make $10^5. How much money is this all together? Express your answer both as a

power of 10 and as a dollar amount.
Mathematics
1 answer:
faust18 [17]3 years ago
6 0

Given parameters:

Amount made by each computer programmer = $10⁵

Number of computer programmers = 10⁶

Problem;

How much money is this all together  = ?

Solution:

  The total money can be found using;

                   = Amount made by each programmer x number of programmers

                   = $10⁵ x 10⁶

                   = $10¹¹

As a power of ten, the amount made is $10¹¹

In dollar amount  = $100,000,000,000

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Mr. Schordine wants to fill up enough helium balloons to allow him to fly through the skies. He weighs 84 kilograms. He knows th
Cerrena [4.2K]

Answer:

There is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.

Step-by-step explanation:

First, we need to calculate the volume of each balloon by considering the balloons as a sphere:    

V = \frac{4}{3}\pi r^{3}

Where:

r: is the radius = 0.4 meters

V = \frac{4}{3}\pi r^{3} = \frac{4}{3}\pi (0.4 m)^{3} = 0.27 m^{3}

Knowing that 1 m³ of helium is able to lift about 1 kg, that Mr. Schordine weights 84 kg, and that each ballon has 0.27 m³ of helium, the number of balloons needed are:

N = \frac{1 m^{3}}{1 kg}*84 kg*\frac{1 balloon}{0.27 m^{3}} = 311.1 \: balloon              

Therefore, there is needed around 311 balloons to fulfill Mr. Schordine’s dream of flight.      

 

I hope it helps you!

6 0
3 years ago
Azmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours
nata0808 [166]

Answer: 2\ \dfrac{7}{12}\ \text{hours}

Step-by-step explanation:

Given

Azmyne decided to study a total of 6\ \frac{1}{2}\ hours

She spent 1\ \frac{1}{4}\ hours on Friday and  2\ \frac{2}{3}\ hours on Saturday

Hours spent on Friday

\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours

Hours spent on Saturday

\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours

She must study for

\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}

4 0
2 years ago
The sum of a number and its reciprocal is 122/11. Find the<br> number.<br> O -11<br> 09<br> O 11
Tatiana [17]

Answer:

11

Step-by-step explanation:

if the some of a number is an restrocal is 122 upon 11 find the integers value of x let the number bees two values of x i e 11 and 1 upon 11 are possible hence required in future value of x is 11

6 0
2 years ago
I NEED HELP ASAP PLS ADD METHODS AND EQUATIONS IN IT SO THE ANSWER CAN FIT WITH IT
Ede4ka [16]

Step-by-step explanation:

The mean number of apples in each bag is 8. We have to calculate the number of apples in the 12 bag. Hence, there are 96 apples in 12 bags.

5 0
2 years ago
Read 2 more answers
If a is an odd number, b is not divisible by 3 and LCM of a and b is P, what is the LCM of 3a and 2b?
Olenka [21]

Answer:

The LCM of 3a and 2b = 6P

Step-by-step explanation:

LCM of  3 a  and  2 b  will be  6 p

Since  a  is odd, which means it's not divisible by 2. Therefore a can be number 1, 3, 5, 7, 9, 11, .......

b  is not divisible by  3, which means b can be number 1, 2, 4, 5, 7, 8, 10, 11, .....

LCM of a and b is P

Factors of 2b can be 2 multiplied by (1, 2, 4, 5, 7, 8, 10, 11, ..... )  

Factors of 3a can be 3 multiplied by (1, 3, 5, 7, 9, 11, .......)

So, to get the LCM of 3a and 2b, since we already show the factors of a and b, Then, 3 X 2 X P (remember P is the LCM of a and b)

The LCM of 3a and 2b = 6P

       

3 0
3 years ago
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