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vekshin1
3 years ago
11

What is the proportion

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0

m = 16
8 6


Cross multiply:
m * 6 = 8 * 16

Simplifying
m * 6 = 8 * 16

Reorder the terms for easier multiplication:
6m = 8 * 16

Multiply 8 * 16
6m = 128

Solving
6m = 128

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Divide each side by '6'.
m = 21.33333333

Simplifying
m = 21.33333333
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3 years ago
I need help on question 2 i need the simplified answer and the restrictions
Anastaziya [24]

Answer:

x cannot be 5 or -3.

\frac{x+5}{x+3}

Step-by-step explanation:

The restrictions for a fraction is that the bottom cannot be 0.

So if we find when the bottom is 0 we have found the values that x cannot be.

Let's solve x^2-2x-15=0.

Since the coefficient of x^2 is 1 all we have to do is find two numbers whose product is -15 and whose sum is -2.

Those numbers are -5 and 3 since (-5)(3)=-15 and (-5)+(3)=-2.

So the factored form of the equation is:

(x-5)(x+3)=0

This means either x-5=0 or x+3=0.

We do have to solve both.

x-5=0 can be solved by adding 5 on both sides.

x-5+5=0+5

x+0=0+5

x=5

x+3=0 can be solved by subtracting 3 on both sides.

x+3-3=0-3

x+0=0-3

x=-3

So x can be any number except x=5 or x=-3.

We already factored the bottom as (x-5)(x+3).

The top is a difference of squares, x^2-a^2,

which can be factored as (x-a)(x+a).

So the top factors as (x-5)(x+5).

The fraction can then be written as:

\frac{x^2-25}{x^2-2x-15}=\frac{(x-5)(x+5)}{(x-5)(x+3)}

This can further simplified assuming x is not 5 we can write it as \frac{x+5}{x+3}.  I canceled the common factor of (x-5).

5 0
3 years ago
Can someone please help its due soon.
docker41 [41]

Answer:

the 4th one is the answer

Step-by-step explanation:

6 0
3 years ago
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skelet666 [1.2K]

Answer:

Step-by-step explanation:

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3 years ago
5. A chef prepared 48,462 plates of shrimp. There were 96 shrimp on each plate. How many
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Answer:

504 I think

Step-by-step explanation:

48,462 divided by 96

KEYWORD: Each, each always means division

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3 years ago
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