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vampirchik [111]
3 years ago
10

The sum of 11 and the product of 2 and a number r

Mathematics
2 answers:
Montano1993 [528]3 years ago
8 0

Step-by-step explanation:

As given we have to find the sum of 11 and the product of 2 and a number r. So, we can write it as follows.

The product of 2 and a number r is as follows.

                    2 × r = 2r

The sum of 11 and 2r is as follows.

                   11 + 2r

The statement written in equation form is 11 + 2r.

andrew-mc [135]3 years ago
5 0
Algebraically that would be expressed as 2r + 11

The product of 2 and r is 2r.

The sum of 2r and 11 is 2r + 11
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A monster can eat 36 cookies in 9 minuets.How many cookies can the monster eat in 12 minuets?
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3 years ago
Find the sum of a finite geometric series. The Smiths spent $2,000 on clothes in a particular year. If they increase the amount
boyakko [2]

\bf \stackrel{\textit{first year}}{2000}~~,~~\stackrel{\textit{second year}}{2000+\stackrel{\textit{10\% of 2000}}{\frac{2000}{10}}}\implies 2200

now, if we take 2000 to be the 100%, what is 2200? well, 2200 is just 100% + 10%, namely 110%, and if we change that percent format to a decimal, we simply divide it by 100, thus \bf 110\%\implies \cfrac{110}{100}\implies 1.1.

so, 1.1 is the decimal number we multiply a term to get the next term, namely 1.1 is the common ratio.

\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=2000\\r=1.1\\n=4\end{cases}\\\\\\S_4=2000\left[ \cfrac{1-(1.1)^4}{1-1.1} \right]\implies S_4=2000\left(\cfrac{-0.4641}{-0.1}  \right)\\\\\\S_4=2000(4.641)\implies S_4=9282

7 0
3 years ago
Find the quotient of '(16t^2-4)/(8t+4)'
Marizza181 [45]

here we have to find the quotient of '(16t^2-4)/(8t+4)'

now we can write 16t^2 - 4 as (4t)^2 - (2)^2

the above expression is equal to (4t + 2)(4t - 2)

there is another expression (8t + 4)

the expression can also be written as 2(4t + 2)

now we have to divide both the expressions

by dividing both the expressions we would get (4t + 2)(4t - 2)/2(4t + 2)

therefore the quotient is (4t - 2)/2

the expression comes out to be (2t - 1)

3 0
3 years ago
5-1-9/3-9 What do I do?
Contact [7]
Rewrite it to simplify using order of operations.

P E M D A S
() ^2 × ÷ + -

So nw it's
5-1-(9÷3)-9

no now it's
(5-1)-(3-9)
4-(-6) I wrote the negative in parentheses to show its not an additional subtraction sign. also if you look it's sort of a plus sign. so when you subtraction (-6) from 4 it's actually 4+6

4-(-6)=10.

that's what I got. hope this helps.
7 0
4 years ago
Read 2 more answers
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