All categories

3 years ago

Find the ragio p:r if p:a=1:2, a:b=2:3, b:c=5:1, c:r=3:2

Mathematics

1 answer:

MaRussiya [10]3 years ago

8 0

Answer:

p : r = 5 : 2

Step-by-step explanation:

Expressing the ratios in fractional form, then

$\frac{p}{r}$ = $\frac{p}{a}$ × $\frac{a}{b}$ × $\frac{b}{c}$ × $\frac{c}{r}$

= $\frac{1}{2}$ × $\frac{2}{3}$ × $\frac{5}{1}$ × $\frac{3}{2}$

= $\frac{30}{12}$

= $\frac{5}{2}$

Thus ratio p : r = 5 : 2

You might be interested in

Evaluate 8j -k+14 when j = 0.25 and k =1

Amiraneli [1.4K]

Substitute
8(0.25) -1+14 = 15

7 0

3 years ago

Read 2 more answers

P and Q are points on the line 3y - 4x = 12

Lorico [155]

Answer:

Step-by-step explanation:

Since the coordinates of P are (0, 1), this makes P the y-intercept of that line. The y-intercept exists where x = 0. And in the coordinate (0, 1), x does in fact equal 0.

Since the one coordinate given in Q is (?, 0), this means that Q is the x-intercept of the line. The x-intercept exists where y = 0. And in the coordinate (?, 0), y does in fact equal 0. So in order to solve for the x coordinate of Q, we plug in a 0 for y and solve for x:

3(0) - 4x = 12 and

-4x = 12 so

x = -3

6 0

3 years ago

Rectangle LOSP is shown below. The lengths, in units, of some of the line segments are also shown. Line segments MQ and NR are p

Galina-37 [17]

Answer: c. OSRN

Step-by-step explanation:

Sides of similar shapes are proportional.

For Rectangle LOSP,

Length = LO = 4+6+8 = 18 units

Width = OS= 12 units

Here, $\dfrac{18}{12}=\dfrac{3}{2}$ [proportionality constant]

a. For Rectangle LMQP,

Length = MQ = 12 units

Width = LM = 4 units

Here, $\dfrac{12}{4}=3\neq\dfrac32$

LMQP is not similar to LOSP.

b. Similarly, for LNRP,

Width = LN= 4+6 = 10

length = NR = 12

$\dfrac{12}{10}\neq\dfrac32$

LNRP is not similar to LOSP.

c. For OSRN,

Length = OS = 12

Width = ON = 8

$\dfrac{12}{8}=\dfrac32$

OSRN is similar to LOSP.

d. For MNRQ,

Length= NR = 12

Width = MN = 6

$\dfrac{12}{6}=2\neq\dfrac32$

MNRQ is not similar to LOSP.

Hence, the shape similar to rectangle LOSP is OSRN.

4 0

3 years ago

Drugs that reduce emotionality make big money for drug companies. These drugs undergo extensive testing, some of which is done w

jek_recluse [69]

Answer:

the effect size index is =0.7437

7 0

3 years ago

A semicircle has an area of 76.97 km² . Find its radius

vagabundo [1.1K]

Area of a semicircle = 1/2 πr²

1/2 πr² = <span>76.97

Multiply both sides by 2:
</span>πr² = 153.94

Divide both sides by π:
<span>r</span>² = 49

Square root both sides:
r=√49

r = 7

Answer: r = 7

4 0

4 years ago

Read 2 more answers

Find the ragio p:r if p:a=1:2, a:b=2:3, b:c=5:1, c:r=3:2​

Find the ragio p:r if p:a=1:2, a:b=2:3, b:c=5:1, c:r=3:2