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15.03.2020

If p:q = 2/3 : 3 and p:r = 3/4 : 2/3, calculate the ratio p:q:r

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Mathematics

If p:q=2/3:3 and p:r=3/4:2/3 calculate the ratio p:q:r. Giving the answer in its simplest form

Step-by-step answer

P Answered by Master

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

Mathematics

If p:q=2/3:3 and p:r=3/4:2/3 calculate the ratio p:q:r. Giving the answer in its simplest form

Step-by-step answer

P Answered by Specialist

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

Mathematics

If p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r

Step-by-step answer

P Answered by PhD

P:q = ⅔:3
p/q = 2/9 = 6/27

p:r = ¾:½
p/r = 3/2 = 6/4

p:q:r = 6:27:4

Mathematics

If p:q=2/3:3 and p:r=3/4:1/2, calculate the ratio p:q:r

Step-by-step answer

P Answered by PhD

P:q = ⅔:3
p/q = 2/9 = 6/27

p:r = ¾:½
p/r = 3/2 = 6/4

p:q:r = 6:27:4

Mathematics

If p : q = 1/3 : 2 and p : r = 3/4 : 1/2, calculate the ratio p:q:r Giving your answer in its simplest form.

Step-by-step answer

P Answered by Master

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 × 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

Mathematics

If p : q = 1/3 : 2 and p : r = 3/4 : 1/2, calculate the ratio p:q:r Giving your answer in its simplest form.

Step-by-step answer

P Answered by Specialist

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 × 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

Mathematics

If p : q = 1/3 : 2 and p : r = 1/2 : 3/4, calculate the ratio p : q : r Giving your answer in simplest form.

Step-by-step answer

P Answered by PhD

p : q : r = 2 : 12 : 3

Step-by-step explanation:

Biology

In pea plants, purple flower color, c, is dominant to white flower color, c. the table shows the frequencies of the dominant and recessive alleles in three generations of peas in a garden. generation 1 has 200 flowers, generation 2 has 400, generation 3 has 400. allele frequency for flower color in peas generation p q 1 0.5 0.5 2 0.6 0.4 3 0.7 0.3 which best describes the number of flowers? generation 1 has more white flowers than generation 2. generation 3 has more white flowers than generation 2. generation 2 has fewer purple flowers than generation

Step-by-step answer

P Answered by PhD

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 = 0.5:0.5

Total Number of color flowers in generation I

$= 0.5 * 200\\= 100$

Total Number of white flowers in generation I

$= 0.5 * 200\\= 100$

Ration of color flower to white flower in generation II = 0.6:0.4

Total Number of color flowers in generation II

$= 0.6 * 400\\= 240$

Total Number of white flowers in generation II

$= 0.4 * 400\\= 160$

Ration of color flower to white flower in generation III = 0.7:0.3

Total Number of color flowers in generation III

$= 0.7 * 400\\= 280$

Total Number of white flowers in generation III

$= 0.3 * 400\\= 120$

Option D, Generation 1 has fewer purple flowers than generation 3 is correct.

Mathematics

The tables show the cost of different numbers of t-shirts ordered at two different stores, store p and store q: store p number of t-shirts cost (in $) 3 $18 6 $36 9 $54 store q number of t-shirts cost (in $) 2 $10 4 $20 8 $40 which of these explains which store has a better buy? store q, because the ratio of the number to the cost is 1: 6 in store p and 1: 5 in store q store q, because the ratio of the number to the cost is 6: 1 in store p and 5: 1 in store q store p, because the ratio of the number to the cost is 3: 21 in store p and 2: 12 in

Step-by-step answer

P Answered by Specialist

Store Q, because the ratio of the number to the cost is 1:6 in Store P and 1:5 in Store Q.

Mathematics

Q.2 the x coordinate of a point p is twice its y-coordinate. if p is equidistant from q (2,-5) and r (-3, 6) find the coordinates of p. q.3 find the ratio in which y axis divides the line segment joining the points a (5.-6) and b (-1,-4). also find the coordinates of the point of division. q.4 find the ratio in which the point(-3, k) divides the line segment joining the points (-5,-4) and (-2,3). also find the value of k. find the ratio in which pſ4, m) divides the line segment joining the q.5 pointsa (2,3) and b(6,-3)hence find m.

Step-by-step answer

P Answered by PhD

Q2. (16,8)

Q3. $k=\frac{2}{3}$ , 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

|PQ|=|PR|

This gives us:

$\sqrt{(2a-2)^2+(a+5)^2}=\sqrt{(2a+3)^2+(6-a)^2}$

$\implies (2a-2)^2+(a+5)^2=(2a+3)^2+(6-a)^2$

Expand:

4a^2-8a+4+a^2+10a+25=4a^2+12a+9+a^2 -12a+36

2a=16

a=8

The coordinates of P are (16,8)

Q.3 The equation of the line segment joining the points

A (5.-6) and B (-1,-4) is x+3y=-13 .

The x-coordinate of the point that divides AB in the ratio m:n is

$x=\frac{mx_2+nx_1}{m+n}$

The y-axis meets this line at $(0,-\frac{13}{3})$

We substitute x_2=-1,x_1=5,x=0 into this equation and solve for m and n.

$0=\frac{-m+5n}{m+n}$

m=5n

$\frac{m}{n}=\frac{5}{1}$

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 -7x+3y=23 .

The point (-3, k) must satisfy this line because it lies on it.

-7(-3)+3k=23 .

$\implies k=\frac{2}{3}$

We again use the equation $x=\frac{mx_2+nx_1}{m+n}$ to find the given ratio.

Substitute: x_2=-2,x_1=-5

$4=\frac{-2m+-5n}{m+n}$

$\implies m=2n$

$\frac{m}{n}= \frac{2}{1}$

The ratio is m:n=2:1

Q. 5 The equation of the line joining A (2,3) and B(6,-3) is 3x+2y=12 .

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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If p:q = 2/3 : 3 and p:r = 3/4 : 2/3, calculate the ratio p:q:r

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