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1 year ago

-2 2/3 divided by 4/3

Mathematics

1 answer:

Vedmedyk [2.9K]1 year ago

8 0

Answer:

-2

Step-by-step explanation:

$Rule(s): a\frac{b}{c} = \frac{a \cdot c + b}{c}, \frac{-a}{b}=-\frac{a}{b}, \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c} \\2\frac{2}{3}=\frac{2\cdot 3+2}{3}\\=\frac{8}{3}\\=\frac{-\frac{8}{3}}{\frac{4}{3}}\\=-\frac{\frac{8}{3}}{\frac{4}{3}}\\=\frac{-8\cdot \:3}{3\cdot \:4}\\= \frac{-24}{12}\\= -2$

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Enrique is driving to texas. he travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hour for 5 hours. over the

11Alexandr11 [23.1K]

To solve this problem, we know that the formula for average speed is:

average speed = total distance travelled / total time

Now let us first calculate for the total distance travelled. Calculating:

total distance travelled = (70 km / hr) * 2 hr + (63 km / hr) * 5 hr

total distance travelled = 140 km + 315 km

total distance travelled = 455 km

Now for the total time:

total time = 2 hours + 5 hours

total time = 7 hours

Hence, the average speed is therefore:

average speed = 455 km / 7 hours

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8 0

2 years ago

Read 2 more answers

If 1 1/2 cups od something fills 2/3 of a container how many cups fill the container

andrew11 [14]

1 1/2 divided by 1/2 = 3
So each cup would be 3
So therefore you would multiply by 3 I believe idk and then you will get 9
So 9 cups would fill the container

8 0

3 years ago

Brainers, please help me please

ra1l [238]

Answer:

W = 12

L = 16

Step-by-step explanation:

Givens

L = L

W = 1/2 L + 4

Perimeter = 56

Formula

2L + 2W = Perimeter

Solution

Sustitute

2L + 2(1/2L + 4) = 56

2L + L + 8 = 56

3L + 8 = 56

3L + 8 - 8 = 56 - 8

3L = 48

3L/3 = 48/3

L = 16

W = 1/2 L + 4

W = 8 + 4

W = 12

Check

2L + 2W = 56

2*16 + 2*12 = 56

32 + 24 = 56

56 = 56 and it checks.

4 0

3 years ago

A metal cylinder can with an open top and closed bottom is to have volume 4 cubic feet. Approximate the dimensions that require

Aleksandr-060686 [28]

Answer:

$r\approx 1.084\ feet$

$h\approx 1.084\ feet$

$\displaystyle A=11.07\ ft^2$

Step-by-step explanation:

<u>Optimizing With Derivatives </u>

The procedure to optimize a function (find its maximum or minimum) consists in :

Produce a function which depends on only one variable
Compute the first derivative and set it equal to 0
Find the values for the variable, called critical points
Compute the second derivative
Evaluate the second derivative in the critical points. If it results positive, the critical point is a minimum, if it's negative, the critical point is a maximum

We know a cylinder has a volume of 4 $ft^3$ . The volume of a cylinder is given by

$\displaystyle V=\pi r^2h$

Equating it to 4

$\displaystyle \pi r^2h=4$

Let's solve for h

$\displaystyle h=\frac{4}{\pi r^2}$

A cylinder with an open-top has only one circle as the shape of the lid and has a lateral area computed as a rectangle of height h and base equal to the length of a circle. Thus, the total area of the material to make the cylinder is

$\displaystyle A=\pi r^2+2\pi rh$

Replacing the formula of h

$\displaystyle A=\pi r^2+2\pi r \left (\frac{4}{\pi r^2}\right )$

Simplifying

$\displaystyle A=\pi r^2+\frac{8}{r}$

We have the function of the area in terms of one variable. Now we compute the first derivative and equal it to zero

$\displaystyle A'=2\pi r-\frac{8}{r^2}=0$

Rearranging

$\displaystyle 2\pi r=\frac{8}{r^2}$

Solving for r

$\displaystyle r^3=\frac{4}{\pi }$

$\displaystyle r=\sqrt[3]{\frac{4}{\pi }}\approx 1.084\ feet$

Computing h

$\displaystyle h=\frac{4}{\pi \ r^2}\approx 1.084\ feet$

We can see the height and the radius are of the same size. We check if the critical point is a maximum or a minimum by computing the second derivative

$\displaystyle A''=2\pi+\frac{16}{r^3}$