Answer:
y = -x +3
Step-by-step explanation:
Think about the Y= mx + b
m = -1 so it's -x
b = 3, so it's +3
y intercept goes after the slope:
Y= Mx + B
Y = -x + 3
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Answer:
162 and 
Step-by-step explanation:
To find the original number multiply by the reciprocal of the multiplier, that is
90 ×
=
= 162
------------------------------------------------------------------------
Similarly
Change the mixed number into an improper fraction
5
=
, then
×
( cancel 35 and 7 by 7 / cancel 6 and 3 by 3 )
=
× 
= 
Answer:
4
Step-by-step explanation:
x=-6
Fill in for x
(-6)2/(-6)+3
-12/-3
=4
Using the percentage concept, it is found that 75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

In this problem, we have that:
- We consider that the population of both Beautiful Sunrise and Gorgeous Sunset islands is of x.
- There is a fiesta at Beautiful Sunrise, and a number a of people from Gorgeous Sunset are coming, hence, there will be x + a people at Beautiful Sunrise and x - a people t Gorgeous Sunset.
The percentage of people from Gorgeous Sunset is on Beautiful Sunrise now is:

Now the number of people on Beautiful Sunrise is seven times the number of people on Gorgeous Sunset, hence:

We can find a <u>as a function of x</u> to find the percentage:





Then, the percentage is:




75% of the population of Gorgeous Sunset is on Beautiful Sunrise now.
You can learn more about the percentage concept at brainly.com/question/10491646
Answer:
53.57%
Step-by-step explanation:
We have to calculate first the specific number of events that interest us, if at least 3 are girls, they mean that 2 are boys, therefore we must find the combinations of 3 girls of 5 and 2 boys of 3, and multiply that, so :
# of ways to succeed = 5C3 * 3C2 = 5! / (3! * (5-3)!) * 3! / (2! * (3-2)!)
= 10 * 3 = 30
That is, there are 30 favorable cases, now we must calculate the total number of options, which would be the combination of 5 people from the group of 8.
# of random groups of 5 = 8C5 = 8! / (5! * (8-5)!) = 56
That is to say, in total there are 56 ways, the probability would be the quotient of these two numbers like this:
P (3 girls and 2 boys) = 30/56 = 0.5357
Which means that the probability is 53.57%