Given
if p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r giving your answer in its simplest form
We need to find the ratio p:q:r
Given p:q = 2/3 : 3 = 2/3 / 3 = 2/9
and p : r = 3/4 : 1/2 = 3/4 / 1/2 = 3/2
Now p/q = 2/9 and p/r = 3/2
We need to make p equal numerators so we get
p/q = 2/9 x 3/3 = 6/27 and
p/r = 2/3 x 3/2 = 6/4
Therefore p : q : r = 6 : 27 : 4
Given
if p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r giving your answer in its simplest form
We need to find the ratio p:q:r
Given p:q = 2/3 : 3 = 2/3 / 3 = 2/9
and p : r = 3/4 : 1/2 = 3/4 / 1/2 = 3/2
Now p/q = 2/9 and p/r = 3/2
We need to make p equal numerators so we get
p/q = 2/9 x 3/3 = 6/27 and
p/r = 2/3 x 3/2 = 6/4
Therefore p : q : r = 6 : 27 : 4
p : q : r = 2 : 12 : 3
Step-by-step explanation:
p : q = 1/3 : 2
p : q = 1/3 ÷ 2
p : q = 1/3 × 1/2
p : q = 1/6
p : q = 1:6 (a)
p : r = 1/2 : 3/4
p : r = 1/2 : 3/4
p : r = 1/2 × 4/3
p : r = 2/3
p : r = 2 : 3 (b)
For p in equation (a) to be the same as equation (b) so, multiply equation (a) by 2 and multiply equation (b) by 1
p : q = 1 × 2 : 6 × 2
p : q = 2 : 12
p : r = 2 × 1 : 3 × 1
p : r = 2 : 3
p = 2 : , q = 12 , r = 3
Hope it help
p : q : r = 2 : 12 : 3
p : q : r = 2 : 12 : 3
Step-by-step explanation:
p : q = 1/3 : 2
p : q = 1/3 ÷ 2
p : q = 1/3 × 1/2
p : q = 1/6
p : q = 1:6 (a)
p : r = 1/2 : 3/4
p : r = 1/2 : 3/4
p : r = 1/2 × 4/3
p : r = 2/3
p : r = 2 : 3 (b)
For p in equation (a) to be the same as equation (b) so, multiply equation (a) by 2 and multiply equation (b) by 1
p : q = 1 × 2 : 6 × 2
p : q = 2 : 12
p : r = 2 × 1 : 3 × 1
p : r = 2 : 3
p = 2 : , q = 12 , r = 3
Hope it help
p : q : r = 2 : 12 : 3
p : q : r = 2 : 12 : 3
Step-by-step explanation:
Option D, Generation 1 has fewer purple flowers than generation 3 is correct.
Explanation:
Given -
Ration of color flower to white flower in generation I
Total Number of color flowers in generation I
Total Number of white flowers in generation I
Ration of color flower to white flower in generation II
Total Number of color flowers in generation II
Total Number of white flowers in generation II
Ration of color flower to white flower in generation III
Total Number of color flowers in generation III
Total Number of white flowers in generation III
Option D, Generation 1 has fewer purple flowers than generation 3 is correct.
Q2. (16,8)
Q3. , ratio=5:1
Q4. Ratio=2:1
Q5. Ratio=1:1
Step-by-step explanation:
Q2. Let (2a,a) be the coordinates of P.
Since P is equidistant from Q (2,-5) and R (-3, 6), we have
This gives us:
Expand:
The coordinates of P are
Q.3 The equation of the line segment joining the points
A (5.-6) and B (-1,-4) is .
The x-coordinate of the point that divides AB in the ratio m:n is
The y-axis meets this line at
We substitute into this equation and solve for m and n.
Therefore the ratio is m:n=5:1
Q.4 The equation of the line segment joining
the points (-5,-4) and (-2,3) is .
The point (-3, k) must satisfy this line because it lies on it.
.
We again use the equation to find the given ratio.
Substitute:
The ratio is m:n=2:1
Q. 5 The equation of the line joining A (2,3) and B(6,-3) is .
We substitute (4,m) to get:
12+4m=12
4m=0
m=0
It is obvious that: (4,0) is the midpoint of A(2,3) and B(6,-3).
Hence the ratio is 1:1
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