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Ray Of Light [21]
4 years ago
15

Which expression demonstrates the use of the commutative property of addition in the first step of simplifying the expression (–

1 + i) + (21 + 5i)?
Mathematics
1 answer:
jek_recluse [69]4 years ago
4 0
<span>The given expression is (–1 + i) + (21 + 5i) : It demonstrates the use of the commutative property of addition in the first step of simplifying the expression. The property of commutativity is that the bracket can change its position i.e. (i + 21 )+ (5i-1)</span>
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In Scott’s backyard, he has a windmill that makes 5 ¾ of a turn every hour. How many turns does it make for 1 ½ hours?
DanielleElmas [232]

Answer: 8 5/8 turns

Step-by-step explanation:

Hi, to answer this question we have to simply to multiply the number of turns that the windmill makes per hour (5 3/4) by the time asked (1 ½ hours).

Mathematically speaking:

5 3/4 x 1 1/2 = (5x4+3)/4 x (1x2+1)/2 = 23/4 x 3/2= 69/8 or 8 5/8 (mixed form)

In conclusion, the windmill makes 8 5/8 turns in 1 1/2 hours.

3 0
3 years ago
Sam and Liam raced each other up and then down the hill. Sam's average speed up the hill was 1 mph, and his average speed down t
Radda [10]

So, we know that it takes Sam 1 mph up and 9 mph down and it takes Liam both 2 mph down and up the hill. So if we divide the 2 mph for Liam by 2 miles (the whole length of the hill)  we will get 1 or 1 hour. Then we do 1/1 (i don't know how to explain this part of why we do that, sorry) and than we do 1 / 9 and we get 1/9 so we add them and get 1 1/9 so that's Sam's time.

      So, Liam took one hour and Sam took 1 and 1/9 hours, in conclusion liam was faster

<h2> (I'm really sorry for my bad explaining, i tried my best)</h2>
8 0
3 years ago
-40+2n=4n-8n+8 EXPLAIN IN NUMBER FORM AND NO WORDS
marin [14]

Answer:

−40+2n=−4n+8

−40+2n+40=−4n+8+40

2n=−4n+48

2n+4n=−4n+48+4n

6n=48

answer:  n=8

Step-by-step explanation:

8 0
3 years ago
The number -7/5 is ___ than -1 1/5 because -7/5 lies ____ -1 1/5 on a vertical number line
Airida [17]

greater, above I hope this helps out!

7 0
2 years ago
Read 2 more answers
The annual rainfall (in inches) in a certain region is normally distributed with µ = 40 and σ = 4. What is the probability that
Allushta [10]

Answer:

P( That it will take over 10 years or more of a year with a rainfall above 50inches) = (0.9938)^10

Step-by-step explanation:

Since the annual rainfall is normally distributed,

Given: that

Mean (µ )= 40

and σ = 4.

Let X be normal random variables of the annual rainfall.

P(that there will be over 10 years or more before a year with a rainfall above 50 inches)

P(>50) = 1-P[X ≤50]

1 - P[X- μ/σ ≤ 50 - 40/4]

=1 - P [Z≤ 5/2]

=1 -Φ(5/2)

=1 - 0.9939

= 0.0062

P( the non occurrence of rainfall above 50 inches)

= 1-0.0062

=0.9938

ASSUMPTION:

P( That it will take over 10 years or more of a year with a rainfall above 50inches) =(0.9938)^10

4 0
3 years ago
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