3 years ago

Use the distributive property to solve the equation 4x/5-x=x/10-9/2

Mathematics

1 answer:

gavmur [86]3 years ago

8 0

15 i think sorry if its wrong

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If s is a sequence of consecutive multiples of 3, how many multiples of 9 are there in s? (1) there are 15 terms in s. (2) the g

Luba_88 [7]

$\it a_{15} =126=3\cdot42
\\\;\\a_1=3n=?
\\\;\\
3, 6, 9, 12, ... , 3n, ..., 3\cdot42$

$\it 42-(n-1) =15 \Rightarrow n-1=42-15=27 \Rightarrow n=28 \Rightarrow 
\\\;\\
\Rightarrow a_1=3\cdot28= 84$

Now, we have the sequence :

$\it a_1= 3\cdot28 = 84 \notin M_9
\\\;\\
a_2= 3\cdot29 = 87 \notin M_9
\\\;\\
a_3= 3\cdot30 = 90 \in M_9
\\\;\\
\vdots$

$\it a_{15} =3\cdot42=126 \in M_9
\\\;\\
90\leq9\cdot k\leq126 |:9 \Rightarrow 10\leq k\leq14 \Rightarrow k \in \{10, 11, 12, 13, 14\}$

It implies 5 multiples of 9

At a glance : {90, 99, 108, 117, 126}

6 0

3 years ago

What ar the factors of 6

Len [333]

1,2,3,6 are the factors of 6.

6 0

3 years ago

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Use the tangent radio to find the missing leg of this right triangle. Estimate your answer to two decimal places.

erica [24]

Answer:

11.55