All categories

3 years ago

What is 3/4 divided by 1/2

Mathematics

2 answers:

Ainat [17]3 years ago

5 0

Answer:

1 1/2 or 1.5

Step-by-step explanation:

To divide a fraction, use the phrase, "keep, change, flip"

We keep the first fraction as it is, change the sign to multiplication, and flip the second fraction to its multiplicative inverse.

So 3/4 divided by 1/2 becomes:

3/4 x 2/1

= 6/4 = 1 1/2

Sergio [31]3 years ago

3 0

Respuesta: 3/2= 1 1/2

You might be interested in

9x<-27 or 4x>36 solve for the compound inequality

pochemuha

9x < -27 or 4x > 36
9 9 4 4
x < -3 x > 9

x ∈ (-∞, 3) or (9, ∞)

3 0

4 years ago

the figure is made up of a semicircle and a triangle. Find the area of the figure. Use pi equals 3.14

valentinak56 [21]

Answer:

The area of the figure is 63.25 square feet

Step-by-step explanation:

we know that

The area of the figure is equal to the area of semicircle plus the area of triangle

step 1

Find the area of semicircle

The area of semicircle is

$A_1=\frac{1}{2}\pi r^{2}$

we have

$r=10/2=5\ ft$ ----> the radius is half the diameter

$\pi =3.14$

substitute

$A_1=\frac{1}{2}(3.14)5^{2}$

$A_1=39.25\ ft^2$

step 2

Find the area of the triangle

The area of triangle is equal to

$A_2=\frac{1}{2}bh$

we have

$b=8\ ft\\h=6\ ft$

substitute

$A_2=\frac{1}{2}(8)(6)$

$A_2=24\ ft^2$

step 3

The area of the figure is equal to

$A=A_1+A_2$

substitute

$A=39.25+24=63.25\ ft^2$

5 0

4 years ago

Suppose the population of a town is 8,200 and is growing 4% each year, what is the population expected to be in 10 years

miv72 [106K]

Answer:

12,138 people

Step-by-step explanation:

Create an equation using the basic exponential growth equation:

y = a(1 + r)^t, where a is the initial amount, r is the growth rate as a decimal, and t is the amount of time in years.

Plug in the values we know

y = a(1 + r)^t

y = 8200(1 + 0.04)^10

y = 8200(1.04)^10

= 12,138 people

8 0

4 years ago

Find dy/dx by implicit differentiation for ycos(x)=xcos(y)

alekssr [168]

Answer:

dy/dx = (cos y + y sin x) / (cos x + x sin y)

Step-by-step explanation:

y cos x = x cos y

y (-sin x) + dy/dx cos x = x (-sin y dy/dx) + cos y

-y sin x + dy/dx cos x = -x sin y dy/dx + cos y

dy/dx (cos x + x sin y) = cos y + y sin x

dy/dx = (cos y + y sin x) / (cos x + x sin y)

5 0

3 years ago

You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o

anyanavicka [17]

Answer:

$x =\dfrac{45 \sqrt{6}}{ 2}$

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

$\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}$

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

= $\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0$

$-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0$

$\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}$

squaring both sides; we get

$\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}$

$\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}$

By cross multiplying; we get

$49x^2 = 25(54^2+x^2)$

$49x^2 = 25 \times 54^2+ 25x^2$

$49x^2-25x^2 = 25 \times 54^2$

$24x^2 = 25 \times 54^2$

$x^2 = \dfrac{25 \times 54^2}{24}$

$x =\sqrt{ \dfrac{25 \times 54^2}{24}}$

$x =\dfrac{5 \times 54}{\sqrt{24}}$

$x =\dfrac{270}{\sqrt{4 \times 6}}$

$x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}$

$x =\dfrac{45 \sqrt{6}}{ 2}$

8 0

3 years ago