If 40% of a number is 14, find 20% of that number.

PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger numbe

antoniya [11.8K]

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

$x=\dfrac{y}{3}$ ...(i)

$x+y=y^2-5$ ...(ii)

Put value of x from (i) in (ii)

$\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}$

Since numbers are positive , so y=3 is correct.

And x will be 1 [from (i)]

Hence, the numbers are 1 and 3.

7 0

1 year ago

There are 120 children standing in a line, every third child gets a rubber, every fourth child gets a ruler and every fifth chil

nevsk [136]

Answer:

It would be the 60th child

Step-by-step explanation:

3,6,9,12,

4,8,12,16,

5,10,15,

60 is the first number that can be divided by 60/3=20 60/4=15 60/5=12

Hope this helps<3

6 0

1 year ago

A container is the shape of an inverted right circular cone has a radius of 4.00 inches at the top and a height of 5.00 inches.

Len [333]

The rate at which the water from the container is being drained is 24 inches per second.

Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.

Looking at the image we can use similar triangle propert to derive the relationship:

r/R=h/H

where dh/dt=2.

Thus r/5=2/5

r=2 inches

Now from r/R=h/H

we have to write with initial values of cone and differentiate:

r/5=h/5

5r=5h

differentiating with respect to t

5 dr/dt=5 dh/dt

dh/dt is given as 2