Grade 7 math extra credit

Mathematics

1 answer:

Nonamiya [84]2 years ago

3 0

2400 in prize money...

the first winner will receive 1/3 of the money..
1/3 * 2400 = 2400/3 = 800
leaving 2400 - 800 = 1600

the next 10 winners will receive 1/10 of the remaining amount
1/10 * 1600 = 1600/10 = 160 <== each will receive $ 160

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dolphi86 [110]

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3 years ago

What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is .5 ?

ser-zykov [4K]

$\bf \qquad \textit{sum of a finite geometric sequence}
\\ \quad \\
 S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad 
\begin{cases}
n=\textit{last term}\\
a_1=\textit{first term}\\
r=\textit{common ratio}
\end{cases}
\\ \quad \\
S_8=3\left( \cfrac{1-0.5^8}{1-0.5} \right)$

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3 years ago

Read 2 more answers

I need help on my warm up!! pls thx!

xxMikexx [17]

Step-by-step explanation:

$\tt{30.16 = 17.56 + 5x}$

Swap the sides of the equation :

⤑ $\tt{17.56 + 5x = 30.16}$

We want to remove the 17.56 first.

Since the original equation is 17.56 , we are going to use the opposite operation and subtract 17.56 from both sides :

⤑ $\tt{5x + 17.56 - 17.56 = 30.16 - 17.56}$

Simplify. 17.56 - 17.56 = 0 on the left. 30.16 - 17.36 = 12.6 on the right.

⤑ $\tt{5x = 12.6}$

Then, we need to think about how to remove the coefficient 5. Since the opposite of multiplication is division , I am going to divide both sides by 5.

⤑ $\tt{ \frac{5x}{5} = \frac{12.6}{5}}$