X^2 + 5x - 5 = 0
This is a quadratic equation that cannot be factored. It can be solved using the quadratic formula or by completing the square.
the quadratic formula is x = (-b +-sqrt(b^2 - 4ac))/2a
a is the coefficient of the x^2, b is the coefficient of the x, and c is the constant.
a = 1, b = 5, c = -5
x = (-5 +- sqrt(25+20))/2
x = (-5 +- sqrt(45))/2
x = (-5 + - 3 sqt 5))/2
x = (-5 + 3sqrt5)/2 and x = (-5 - 3sqrt5)/2
We have 2l + 2w = 120 and l/w = 2/3;
Then, l = (2/3)w;
Finally, (4/3)w + 2w = 120;
4w + 6w = 360;
10w = 360;
w = 36;
l = (2/3)x36;
l = 24;
Let x by the number of cooler
since each cooler has 25 bottles
then in total we have 25x
there are 10 friend in total to divide the bottles equally
we have 25x/10 this expresses the number of bottles each friend will get
that answers part a) of the question
now for part b)
we are told the friend brought 2 cooler
then we should have 25(2)=50 number of bottles in total
then it goes that each one of the friend will get 5 bottles (50/10)
Done !
Answer: (5, 12)
Step-by-step explanation:
Just graph the linear equations and find where they intersect.
Algebraically, you can set them equal to each other
-3x-3=2x+2
-x-3=2
-x=5
x=5
Plug x=5 to any equation
y=2(5)+2
y=12
Answer:
Given:
(i) Wendy reduced her daily commute time by 75% by learning how to fly.
(ii) Previously, it took her 'm' minutes to commute.
To find:
(i) Wendy's commute time in minutes after she learned how to fly.
Solution:
Given that earlier it took Wendy 'm' minutes to commute.
After learning how to to fly, the commute time reduced by 75%.
So, time taken now = (100-75)% of previous time
= 25% of 'm' minutes
= \frac{25m}{100}
100
25m
= \frac{m}{4}
4
m
So, the time taken by Wendy now is \frac{m}{4}
4
m
minutes.