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Andrei [34K]
3 years ago
10

Which is the correct classification and decimal expansion of 5/8

Mathematics
2 answers:
Svet_ta [14]3 years ago
7 0
0.625 is the correct answer because 5/8=0.625
Karo-lina-s [1.5K]3 years ago
5 0
5/8 is 0.625 , so that would be the decimal for it
You might be interested in
Find the value of x such that 365 based seven + 43 based x = 217 based 10.
Pepsi [2]

We need to find the base x in the following equation:

365_7+43_x=217_{10}

First, lets convert 365 from base 7 to base 10. This is given by

365_7=3\times7^2+6\times7^1+5\times7^0

where the upperindex denotes the position of eah number. This gives

\begin{gathered} 365_7=3\times49+6\times7+5\times1 \\ 365_7=147+42+5 \\ 365_7=194_{10} \end{gathered}

that is, 365 based 7 is equal to 194 bases 10.

Now, lets do the same for 43 based x. Lets convert 43 based x to base 10:

43_x=4\times x^1+3\times x^0

where again, the superindex 0 and 1 denote the position 0 and 1 in the number 43. This gives

43_x=(4x+3)_{10}

Now, we have all number in base 10. Then, our first equation can be written in base 10 as

194_{10}+(4x+3)_{10}=217_{10}

For simplicity, we can omit the 10 and get

194+4x+3=217

so, we can solve this equation for x. By combining similar terms. we have

197+4x=217

and by moving 197 to the right hand side, we obtain

\begin{gathered} 4x=217-197 \\ 4x=20 \end{gathered}

Finally, we get

\begin{gathered} x=\frac{20}{4} \\ x=5 \end{gathered}

Therefore, the solution is x=5

8 0
1 year ago
Find the area of the following ellipse (round to nearest tenth).
goblinko [34]

Answer:

\huge\boxed{A=60\pi cm^2}

Step-by-step explanation:

The formula of an area of a elipse:

A=\pi ab

We have:

2a=10cm\to a=5cm\\\\2b=24cm\to b=12cm

Substitute:

A=\pi\dot5\cdot12=60\pi(cm^2)

8 0
2 years ago
What is the scale factor of point E (original point) to point F (new point) with P as the center of dilation.
babunello [35]

Answer:

Answer is last alternative

scale factor (2)

8 0
2 years ago
Please help and explain why, so that I understand.
chubhunter [2.5K]
Hello there!

The number of people in different cities should be represented on a graph as Two-dimensional. 

I'll explain why: The number of dimensions you need on a graph is equal to the number of variables that you are studying. In this case, you have two variables in the study:

1)The number of people
2)The city where they live

You'll need a two-dimensional graph with two axes in which one of the axes represents the number of people and the other axis represents the city. If you were also studying the age of those people, you'll need one more dimension to include this new variable. 

Have a nice day!
8 0
3 years ago
What is p^m ÷ p^n equal to?
Alex Ar [27]

Answer:pm*pn = p^2mn. But if p=1, then it would just be pm*n

Step-by-step explanation:

7 0
3 years ago
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