A 96 inch stick breaks into two pieces in the ratio of 3:5. How big is each piece?

1 answer:

6 0

40 cm.

let the length of the first part be 3x, second part be 4x, third part be 5x.

where x is a positive length in cm.

why 3x,4x and 5x ?

so that the ratio of lengths of the 3 parts be 3:4:5.

total length of the stick = 3x + 4x + 5x = 12x=96cm

so x=96/12 = 8cm

therefore the largest part of the stick (5x)= 5*8 =40cm

You might be interested in

Y = x² - 4x convert from standard to vertex form

Pepsi [2]

Answer:

$y = (x-2)^{2} -4$

Step-by-step explanation:

To complete the square: add 4 to both sides because the product of 4 as 2 as the factor which 2 * 2 so $2^{2}$

$y + ? = x^{2} - 4x + ?$

$y + 2^{2} = x^{2} - 4x + 2^{2}$

$y + 4 = x^{2} - 4x + 4$

Now we can factor the expression

$y + 4 = (x-2)^{2}$

Move the 4 to the other side to isolate y which changes the sign

$y = (x-2)^{2} - 4$

6 0

2 years ago

the brightness of the illumination of an object varies inversely as the square of the distance from the object to the source of

Free_Kalibri [48]

I=k/d^2

4=k/d^2 and 1=k/64 so if we divide the first by the second we get:

4/1=(k/d^2)/(k/64)

4=(k/d^2)*(64/k)

4=64/d^2

d^2=64/4

d^2=16

d=4 meters

3 0

3 years ago

When people say 8:15 times 195 equals 15x, what does 15x mean or stand for

wel

It means that 15 times another number equals to your equation.

3 0

3 years ago

The area of the rectangle as a single expression

Ne4ueva [31]

Answer: $A=15x^2+6x-48$