2 years ago

Which equation could be used to solve the following problem?

Mathematics

1 answer:

-BARSIC- [3]2 years ago

4 0

115 +10p =305

Step-by-step explanation:

given,

let p day it takes

So,115+10p =305

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Find an for the arithmetic series with s16 = -288 And a1 =-21

Maru [420]

If $d$ is the common difference between terms in the sequence $\{a_n\}$ , then

$a_1=-21$
$a_2=a_1+d=-21+d$
$a_3=a_2+d=-21+2d$
...
$a_n=a_{n-1}+d=\cdots=-21+(n-1)d$

You're told that $S_{16}=-288$ (the sum of the first 16 terms in the sequence, presumably). Well, we know that

$S_{16}=\displaystyle\sum_{n=1}^{16}a_n=\sum_{n=1}^{16}(-21+(n-1)d)$
$S_{16}=\displaystyle(-21-d)\sum_{n=1}^{16}1+d\sum_{n=1}^{16}n$

Recall that

$\displaystyle\sum_{n=1}^kn=\frac{k(k+1)}2$

so that we have

$-288=16(-21-d)+\dfrac{16(16+1)}2d\implies d=\dfrac25$

So we get

$\begin{cases}a_1=-21\\\\a_n=-21+\dfrac25(n-1)\end{cases}$

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3 years ago

Renee is in charge of the school carnival for 380 students. She has 47 boxes of prizes. Each box has 22 prizes. She wants to mak

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47 times 22 = 1034

1034/2 = 517

380 is less than 517 so Renee has more than enough for each student.

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4 years ago

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If a person draws a playing card and checks its suit and then spins a three-space spinner, describe the sample space of possible

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Answer:

Step-by-step explanation: