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3 years ago

Quotient of 819 divided by 40

Mathematics

1 answer:

irina [24]3 years ago

5 0

20.475

819/40= 20.475

Hope this helps <3

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You roll a fair six-sided die twice. The first roll shows a five and the second roll shows a six.

anyanavicka [17]

Answer:

Step-by-step explanation:

These are independent events, so we will just multiply the two probabilities together.

1/6 x 1/6 = 1/36

I'm always happy to help :)

6 0

4 years ago

What is the sum of the geometric series in which a1 = 4, r = 3, and an = 324?

olganol [36]

$\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1\cdot r^{n-1}\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
a_n=324
\end{cases}
\implies 
324=4(3)^{n-1}
\\\\\\
\cfrac{324}{4}=3^{n-1}\implies 81=3^{n-1}\implies 3^4=3^{n-1}\implies 4=n-1
\\\\\\
\boxed{5=n}\\\\$

$\bf -------------------------------\\\\
\qquad \qquad \textit{sum of a finite geometric sequence}\\\\
S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
r=\textit{common ratio}\\
----------\\
a_1=4\\
r=3\\
n=5
\end{cases}
\\\\\\
S_5=4\left( \cfrac{1-3^5}{1-3} \right)\implies S_5=4\left(\cfrac{1-243}{-2} \right)$

and surely you know how much that is.

8 0

3 years ago

He fourth-grade students at Curtis Estabrook make up 0.3 of all students at the school. What fraction is equivalent to 0.3?

BartSMP [9]

Answer:

3/10

Step-by-step explanation:

fouth grade students at Estrabook make up 0.3 percents of the students at school

The fraction is therefore equivalent to

= 3/10

4 0

3 years ago

Sophie shares her cake with her friends. she gives Lionel a quarter and Helen half of the rest. what fraction remains for her

Nataliya [291]

Answer:

one and a half quaters

Step-by-step explanation:

4/4 is a whole

The they take one 1/4

then that gives you 3/4

which is then 1.5/4 left for you

3 0

3 years ago

Read 2 more answers

Solve the inequality.

Stells [14]

Answer:

x ≤ - 5

Step-by-step explanation:

Given

- 2x - 1 ≥ 9 ( add 1 to both sides )

- 2x ≥ 10

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity.

x ≤ - 5

5 0

3 years ago

Read 2 more answers