To solve this problem we will start by calculating time needed for each of them to fill the pool.
We have formula:
Volume = rate * time
Or
time = volume / rate
Wilma:
time = 9900 / 900
time = 11h
Betty:
time = 9900 / 500
time = 19.8h
Now we substract these two numbers:
time_difference = 19.8 - 11 = 8.8h
Betty needs 8.8 hours more than Wilma to fill the pool.
Answer:
Step-by-step explanation: 2003160
If you add them up, you get 2003160.
So the lakes holds 2003160 LITERS of water to the current date.
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You have to find a common denominator 1st then add. So 16 is the common denominator the problem should be 2 7/16+1 14/16+8-16= 3 29/16 then you need to divide 29/16 you will have 4 13/16
Step-by-step explanation:
The quadratic equation is x² + (p - 5)x + 2q = 0.
By Vieta's Formula,
we have SOR = -b/a and POR = c/a.
=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.
=> 3 = 5 - p and -18 = 2q
Hence, p = 2 and q = -9.
Alternate Method:
We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.
=> (x + 3)(x - 6) = x² - 3x - 18.
By Comparing Coefficients,
(p - 5) = -3 and 2q = 18.
Hence p = 2 and q = -9.
Answer:
you plug in (y) with the top equation
Step-by-step explanation:
step 1: 2x+1/2x-1=-6
step 2: 2.5x-1=-6
step 3: 2.5x-1=-6
+1. +1
step 4: 2.5x= -5. Divide both sides by 2.5
-5/2.5 = -2
step 5: plug in your (x) to find (y)
y= 1/2(-2)-1
step 6: 1/2(-2) = -1
y=( -1)-1
y=-2
step 7: (x,y)= (-2,-2)
step 8: graph your coordinate
I hope that this helped you!
