<h3>
Answer:</h3>
29. e = D/(3f²)
30. k=-4, x=41 . . . . matches the 2nd selection
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Step-by-step explanation:</h3>
29. Multiply by the inverse of the coefficient of e. That coefficient is 3f², so you divide by that quantity.
... D = e(3f²)
... D/(3f²) = e . . . . . matches the first choice
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30. You want to solve for k and use it with a different y-value.
... y = kx
... -96 = k·24
... -96/24 = k = -4
For y = -164, you have
... -164 = -4·x
... -164/-4 = x = 41
The coefficient of variation is -4, x is 41.
Answer:
The smaller pipe can fill the tank in 6 hours alone.
Step-by-step explanation:
Let us assume that the smaller pipe can fill the tank alone in x hours and the larger pipe fills it in (x - 3) hours.
Therefore, the smaller pipe in 1 hour can fill part of the tank.
Again the larger pipe in 1 hour can fill part of the tank.
So, if both the pipes are open then, in 1 hour they can fill ( part of the tank.
Therefore, they can fill the full tank in hours.
As per given condition, we can write
⇒ x² - 3x = 4x - 6
⇒ x² - 7x + 6 = 0
⇒ (x - 6)(x - 1) = 0
⇒x = 6 or x = 1
But x can not be less than 2 hours.
So, x = 6 hours.
Therefore, the smaller pipe can fill the tank in 6 hours alone. (Answer)
Answer:
The answer to your question is 90 cm, 150 cm, 210 cm
Step-by-step explanation:
Data
Proportion 3 : 5 : 7
Perimeter 450 cm
Process
1.- Sum the proportions to find the total number of parts.
3 + 5 + 7 = 15 parts
2.- Divide the perimeter by the total number of parts
450 / 15 = 30
3.- Find the measure of the sides multiplying each ratio by the previous result
Side 1 = 3(30) = 90 cm
Side 2 = 5(30) = 150 cm
Side 3 = 7(30) = 210 cm
1) 2x+1x= 63
2) 3x= 63
3) 3x/3= 63/3
4) x= 21
5) 2(21)+1(21)=63
6) 42+21= 63
The 2 groups would be 42 to 21.