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3 years ago

Find the unknown value 16 is 40% of ???

2 answers:

8 0

<span>OK so you're given a number and a percent. What you do is first change the percent into a fraction. 40/100 in other words 2/5. What I do is I divide by the numerator (in this case 2) and the multiply by the denominator (5). So 16/2 = 8. And 8 x 5 = 40. Hope this helps</span>

Alenkasestr [34]3 years ago

4 0

X=value
40% of x=16
40%=40/100=0.4
we have to solve the following equation.
0.4x=16
x=16/0.4=40

Answer: 16 is 40% of 40

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tatyana61 [14]

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3 years ago

(40 points to best answer) (answer ASAP)

likoan [24]

Answer:

x =5

Step-by-step explanation:

We can use proportions to solve this problem. Put the side of one triangle over the same side of the other triangle.

x 4

------ = ----------

40 32

Using cross products

32x = 4*40

32x = 160

Divide each side by 32

32x/32 =160/32

x =5

4 0

3 years ago

Read 2 more answers

The volume of a spherical balloon is increasing at the constant rate of 8 cubic feet per minute. How fast is the radius incresin

OverLord2011 [107]

Answer:

Rate of increase of radius = 0.0064 ft/sec

Rate of increase of surface area = 1.61 $ft^2/sec$

Step-by-step explanation:

Given that:

Rate of change of volume of a spherical balloon = 8 cubic feet per minute

$\dfrac{dV}{dt} = 8 ft^3/min$

Radius, $r$ = 10 feet

To find:

The rate of change of radius at this moment and rate of change of surface area at this moment?

Solution:

First of all, let us have a look at the formula:

$1.\ V = \dfrac{4}{3}\pi r^3\\2.\ A =4\pi r^2$

Now, differentiating the volume and area, we get:

$\dfrac{dV}{dt} = \dfrac{4}{3}\times 3 \pi r^2 \dfrac{dr}{dt}\\\Rightarrow \dfrac{dV}{dt} = 4 \pi r^2 \dfrac{dr}{dt}$

$\dfrac{dA}{dt} = 4\pi \times 2 r \dfrac{dr}{dt}\\\Rightarrow \dfrac{dA}{dt} = 8\pi r \dfrac{dr}{dt}$

$\dfrac{dV}{dt} = 8 = 4\pi r^2 \dfrac{dr}{dt}\\\Rightarrow 8 = 4\times 3.14 \times 10^2 \dfrac{dr}{dt}\\\Rightarrow 2 = 3.14 \times 10^2 \dfrac{dr}{dt}\\\Rightarrow \dfrac{dr}{dt} = 0.0064\ ft/sec$

$\dfrac{dA}{dt} = 8\times \pi \times r \dfrac{dr}{dt}\\\Rightarrow \dfrac{dA}{dt} = 8\times 3.14 \times 10 \times 0.0064\\\Rightarrow \dfrac{dA}{dt} = \bold{1.61 \ ft^2/sec}$