The mixture contains 61.5% of water.
<u>Step-by-step explanation:</u>
Total parts = 4+ 2.5 = 6.5
Parts of water =4
parts of drink = 2.5
Percent of water in the mixture = 4 × 100/ 6.5
= 400/6.5
= 61.53%
It is rounded to the nearest tenth as 61.5%.
Answer: Provided.
Step-by-step explanation: We are given two lines 'h' and 'k' which are parallel to each other. Also, there is another line 'j' that is perpendicular to line 'h'.
We are to prove that line 'j' is perpendicular to line 'k'.
Let, m, n and p be the slopes of lines 'h', 'k' and 'j' respectively.
Now, since line 'h' and 'k' are parallel, so their slopes will be equal. i.e., m = n.
Also, lines 'h' and 'j' are perpendicular, so the product of their slopes is -1. i.e.,
m×p = -1.
Hence, we can write from the above two relations
n×p = -1.
Thus, the line 'j' is perpendicular to line 'k'.
Proved.
Hey there!!
Steps to get into equation which is perpendicular:
- The slope of a perpendicular line is always negative reciprocal.
- Take the point and get that into point-slope form.
- y - y = m ( x - x )
- Convert this equation into slope-intercept form.
'm' is the slope.
We have the slope as 1/3
The perpendicular slope would be -3.
Point slope:
The point = (-2,2)
y - 2 = -3( x - (-2) )
y - 2 = -3(x+2)
y - 2 = -3x -6
Adding 2 on both sides:
y = -3x - 4
<em>Hence, the equation would be : </em>
<u><em>y = -3x - 4 </em></u>
Hope it helps!
A plane flew 193 km in 12 minutes at constant speed. what was the speed of the airplane in km per hour? "965 km'
Answer:
84
Step-by-step explanation:
The interquartile range is obtained using the relation :
Third quartile (Q3). - First quartile (Q1)
From. The boxplot :
Q3 = 96
Q1 = 12
Interquartile range (IQR) = Q3 - Q1 = 96 - 12 = 84
