4 years ago

5/17 multiplied by 3/8

Mathematics

2 answers:

tino4ka555 [31]4 years ago

6 0

5/17 × 3/8 = 15/ = 15/136

wariber [46]4 years ago

4 0

15/136 is the answer

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Frank practiced basketball on 4 different days last week for 1 3/4 hours each time. How many hours did he practice last week?

GrogVix [38]

4 3/4 hours he practiced last week

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3 years ago

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

An angle measures 45°. What is the measure of its supplement

Degger [83]

Answer:

135

Step-by-step explanation:

Two supplement angles add up to equal 180 degrees.

So, (45+x=180)

180-45=x

135=x

5 0