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Sav [38]
3 years ago
10

How do you write the fraction 48/18 in simplest form??

Mathematics
2 answers:
dalvyx [7]3 years ago
7 0

Answer:


Step-by-step explanation:

Both top and bottom are divisible by 6.


Dividing top and bottom by this number gives us:


8/3


Three is a prime number. The only we could simplify it further would be by dividing through by itself, i.e. dividing through by 3. However, the 8 is only divisible by 4 or 2. Therefore we cannot simplify any further.


Therefore the simplest form is:


8/3

docker41 [41]3 years ago
6 0

Answer:

2.67

Step-by-step explanation:

you divide 48 over 18 you should get a decimal but it will be in the simplest form but in a decimal  

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Capital letters that have rotational symmetry are: Z, S, H, N and O. The letters Z, S, H and N, when rotated 180 degrees clockwise or counterclockwise, will look the same after rotation completion.

Hope it helps you my dear :)
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Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the outer function y = f(u).] y = ta
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Answer:

The inner function is u = \pi x.

The outer function is f(u) = \tan{u}.

\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}

Step-by-step explanation:

The inner function is the one we apply the outer function to.

So

y = \tan{\pi x}

We apply the outer function tangent to \pi x.

So, the inner function is u = \pi x.

The outer function is f(u) = \tan{u}.

The derivative of a compositve function

y = f(u) in which u = g(x) is given by the following function.

y^{\prime} = f^{\prime}(u)*g^{\prime}(x)

So

f(u) = \tan{u}

f^{\prime}(u) = \sec^{2}{u}

u = g(x) = \pi x

g^{\prime}(x) = \pi

So

y^{\prime} = f^{\prime}(u)*g^{\prime}(x)

\frac{dy}{dx} = y^{\prime} = \sec^{2}(u)*\pi = \pi\sec^{2}{\pi x}

7 0
3 years ago
A store sells flower arrangements at a cost of $28 each. Which statements are true regarding the price of the arrangements? Chec
Maru [420]

Let's check each case to determine the solution to the problem.

we know that

The cost of each flower  arrangements is \$28

Statements

<u>case A)</u> If the price is marked down by 10 percent, the new price will be \$25.20

we know that

If the price is marked down by 10 percent

then

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\$25.20=\$25.20

therefore

The statement case A) is True

<u>case B)</u> If the price is marked down by 25 percent, the new price will be \$21

we know that

If the price is marked down by 25 percent

then

the new price will be

25\%= \frac{25}{100} =0.25  

(1-0.25)*\$28=0.75*\$28 \\= \$21

\$21=\$21

therefore

The statement case B) is True

<u>case C)</u> If the price is marked down by 50 percent, the new price will be \$19

we know that

If the price is marked down by 50 percent

then

the new price will be

50\%= \frac{50}{100} =0.50  

(1-0.50)*\$28=0.50*\$28 \\= \$14

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therefore

The statement case C) is False

<u>case D)</u> If the price is marked down by 35 percent, the new price will be \$18.20

we know that

If the price is marked down by 35 percent

then

the new price will be

35\%= \frac{35}{100} =0.35  

(1-0.35)*\$28=0.65*\$28 \\= \$18.20

\$18.20=\$18.20

therefore

The statement case D) is True

<u>case E)</u> If the price is marked down by 40 percent, the new price will be \$29.80

we know that

If the price is marked down by 40 percent

then

the new price will be

40\%= \frac{40}{100} =0.40  

(1-0.40)*\$28=0.60*\$28 \\= \$16.80

\$16.80 \neq \$29.80

therefore

The statement case E) is False


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A librarian has a set of ten different books, including four different books about Abraham Lincoln. The librarian wants to put t
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Answer:

120960

Step-by-step explanation:

Given that a  librarian has a set of ten different books, including four different books about Abraham Lincoln.

The librarian wants to put the ten books on a shelf with the four Lincoln books next to each other, somewhere on the shelf among the other six different books.

First arrnage the 6 other books in the shelf.  

This can be done in                                        6! ways

Now arrange the 4 books of Lincoln      

This can be done in                                        4! ways

Now we have 7 places to insert Lincoln books including two corners and in between.

Thus this can be done in 7 ways

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