Please help with this question!!!!

Which of the following uses the reciprocal property to rewrite x/12 = 32/18 ?

kozerog [31]

Answer: A

Step-by-step explanation:

x/32 = 18/13

4 0

3 years ago

What is the probability of rolling a number less than or equal to 2 on a six sided die?

Kruka [31]

The dice only has 6 sides so if you need to roll a 2 or less that only leaves the number one. So it would be 2/6

7 0

4 years ago

Read 2 more answers

PLEASE HELP AND SHOW ALL WORK

vampirchik [111]

Answer:

1. The given series is

4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = $\frac{[4(4n+1)(8n+7)]}{6}$

For n=1

L.H.S=4.6=24

R.H.S=[4×5×15]÷6

=300÷6

=50

So, for n=1,

L.H.S≠ R.H.S

Since the given expression is true for n=1 ,

So , the given series is untrue.

we should replace R.H.S by=4(n+1)(n+2)(4n-3)²

2.

12+42+72+.......+(3 n -2)2= $\frac{n(6 n²-3 n- 1)}{2}$

For n=1,

L.H.S=12

R.H.S=1×(6-3-1)/2

=2/2

=1

As L.H.S≠ R.H.S

We should Replace R.H.S by [(3 n-1)(3 n-2)]2

3.The given sequence is

2+4+6+....+2n=n(n+1)

L.H.S

P(1)=2

R.H.S

1×(1+1)

=1×2

=2

( b) L.H.S

P(n)=2+4+6+.....2 k

This is an A.P having n terms.

$S_{n}=[tex]\frac{n}{2}\times\text{[first term + last term]}$

tex]S_{n}= $\frac{n}{2}\text [{2+2n}]$

= n(n+ 1)

R.H.S=n(n+1)

So, P(k)=k(k+1)

(c) P(k+1)=2+4+6+.......+2(k+1)

This is an A.P having (k+1) terms.

$S_(k+1)=\frac{k+1}{2}[2+2k+2]$

=(k+1)(k+2)

So, P(k+1)= (k+1)(k+2)

7 0

3 years ago

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Find the sum 41/2+21/2 write the sum as a mixed number so the fractional part is less than 1

Galina-37 [17]

Answer: 31

note: there is no fractional part, so the fractional part is essentially 0. The answer is a whole number

================================

Explanation:

To get this answer, you first add the fractions. Add only the numerators while keeping the denominator 2 the same. So we have 41+21 = 62 as the new numerator and that is over 2

Therefore, 41/2 + 21/2 = (41+21)/2 = 62/2

From here, we divide 62 in half to get 31. The denominator 2 cancels out and goes away when we divide it by 2

This means we go from 62/2 to 31 which is the final answer. This is not a mixed number as there is no fractional part. Instead, it is a whole number.

I guess if you wanted, you can write 31 as 31 & 0/2, though that seems like unneeded extra work in my opinion.

4 0

3 years ago

Chen is offered isolation pay of $1250.00 for a job in northern Manitoba.

Fofino [41]

Answer:

He should choose a bonus of 28% of his salary.

8 0

3 years ago