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2 years ago

Number sentence commutative property of addition 3+9=12

Mathematics

2 answers:

erastova [34]2 years ago

7 0

3+9=12 and 9+3=12

you can change the order and not change the answer

mash [69]2 years ago

4 0

9+3 ←commutative property of 3+9

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Write a recursive definition for the sequence 14, 10, 6, 2...

VladimirAG [237]

The general form of recursive definition for arithmetic sequence:
$a_{n}=a_{1}+d(n-1)$

So, what we need to do is to find $a_{1}$ and $d$ .
$a_{1}=14$
$d=a_{2}-a_{1}=10-14=-4$
Having found these two values we can now define our recursive sequence:
$a_{n}=14-4(n-1)$
$a_{n}=14-4n+4$
$a_{n}=18-4n$

7 0

3 years ago

Read 2 more answers

Given p(x) = x+7/3<br> if p(x) = 13, find x.

Shtirlitz [24]

Answer:

x = $\frac{32}{3}$

Step-by-step explanation:

We know that p(x) = 13. Thus, substitute 13 for the "p(x)" in the equation. Then, isolate x by subtracting both sides by $\frac{7}{3}$ :

$p(x) = x + \frac{7}{3}\\13 = x + \frac{7}{3} \\13 - \frac{7}{3} = x \\\frac{39}{3}- \frac{7}{3} = x \\\frac{32}{3} = x$

Thus, x = $\frac{32}{3}$ .

3 0

2 years ago

A fair coin is flipped three times. Events A and B are defined as: A: there are at least two consecutive heads somewhere in the

Vaselesa [24]

Answer:

2 / 7

Step-by-step explanation:

Coin flipped 3 times has following outcomes, of heads 'H' & Tails 'T'

HHH , TTT , HTT, THT , TTH , THH , HTH , HHT = total outcomes

P (A) = 2 consecutive heads , P (B) = atleast one tail

P (A) = 2 outcomes ( HHH , HHT , THH ) / total 8 outcomes = 3 / 8

P (B) = 7 outcomes (all except HHH) / total 8 outcomes = 7 / 8

P (A | B) = P ( A ∩ B ) / P (B)

P ( A ∩ B ) = P ( 2 consecutive heads & atleast one tail) / Total outcomes = 2 outcomes ( HHT , THH ) / total 8 outcomes = 2 / 8

So, P (A | B) = ( 2 / 8 ) / ( 7 / 8 ) = 2 / 7

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2 years ago

76 is 80% of what number?

vfiekz [6]

76 is 80% of 95 and I'll even explain.
80/100 = 76/x from this point you cross multiply which gives you 80x = 76(100) you multiply 76 by 100 and get 7600 so then the equation look like this 80x = 7600 then divide by 80 on both sides and get the answer of x = 95 which is basically your answer I hope this helps :)

8 0

3 years ago

Joe works as a busboy making $7 per hour and as a theater usher making $9 per hour. Let b be the number of hours he works as a b

Vilka [71]

Answer:

The inequality describing the situation is:

$7b+9u>1500$