Answer:
No it doesn't
Step-by-step explanation:
There's only 1 proportional quantity
Answer:
4 hours
Step-by-step explanation:
25 pages -> 30 min
5 pages -> 6 min
200 pages -> 6*40 min =240 min
240/60= 4
Thus, the answer is 4 hours
Answer:
a. 
b. 
Step-by-step explanation:
Given
<em>Direct Variation</em>
D = 264 cm when T = 11 s
Calculating (a)
First, the constant of variation (k) as to be calculated;
Since, there exist a direct proportion; then,
Make k the subject of formula
<em>D = 264 cm when T = 11 s; So</em>
<em />
<em />
<em />
<em />
So: Solving for (a)
Substitute 408 for D and 24 for k in
Divide both sides by 24
<em>Hence, time to move a distance of 408cm is 17s</em>
Calculating (b)
Substitute 3 for T and 24 for k in
<em>Hence, distance covered in 3 seconds is 72cm</em>
The intercept of 2 equations is a point that verifies both equations. By that I mean that if you replace the coordinates of this point in both equations, you would get the same y.
So, to do this, you use this form of expression: y=y
So you do the equality of both expressions, and find x.
But in your case, we have one equation that is not in the y= form: y+3=1/2x.
So you subtract 3 from each side, making it y=1/2x-3
Now, we can do y=y.
1/2x-3 = 5x-7x+8
1/2x-3=-2x+8
Then, we move the variables to a side, and the numbers to the other side of the expression, so you get:
1/2x + 2x = 8 + 3
5/2x = 11
To find x, you divide both sides by 5/2:
x= 11/(5/2)
x= 11*2/5 (when you divide 2 fractions, the result is equal to the first fraction multiplied by the inverse of the second)
x=22/5
So, the intercept of y+3=1/2x and y=5x-7x+8 is 22/5.
You can check your answer (this is very important):
y+3 = 1/2 * 22/5
y+3 = 22/10
y= -8/10
y=5x-7x+8
y=5(22/5)-7(22/5)+8
y=-8/10
Hope this Helps! :)
