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2 years ago

Which of the following proportions is false? Select one:

Mathematics

1 answer:

Nana76 [90]2 years ago

8 0

Answer:

18/48 = 30/50 is false

Step-by-step explanation:

20/50 and 40/100 both equal 0.4

12/15 and 20/25 both equal 0.8

etc.

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Make w the subject of the formula p = 2w+7 divided by 12

Reptile [31]

Answer:

w = (12p - 7) / 2

Step-by-step explanation:

p = (2w + 7) / 12

12p = 2w + 7

2w = 12p - 7

w = (12p - 7) / 2

4 0

2 years ago

Let f(x) = x+2/x+6 <br> f^-1(-6) =

GREYUIT [131]

We can explicitly find the inverse. If $f^{-1}(x)$ is the inverse of $f(x)$ , then

$f\left(f^{-1}(x)\right) = \dfrac{f^{-1}(x)+2}{f^{-1}(x)+6} = x$

Solve for the inverse :

$\dfrac{f^{-1}(x) + 2}{f^{-1}(x) + 6} = x$

$\dfrac{f^{-1}(x) + 6 - 4}{f^{-1}(x) + 6} = x$

$1 - \dfrac4{f^{-1}(x) + 6} = x$

$1 - x = \dfrac4{f^{-1}(x) + 6}$

$f^{-1}(x) + 6 = \dfrac4{1-x}$

$\implies f^{-1}(x) = \dfrac4{1-x} - 6$

Then when x = -6, we have

$f^{-1}(-6) = \dfrac4{1-(-6)} - 6 = \dfrac47-6 = \boxed{-\dfrac{38}7}$

Alternatively, we can first solve for x such that $f(x) = -6$ . Then taking the inverse of both sides, $x = f^{-1}(-6)$ . (The difference in this method is that we don't compute the inverse for all x.)

We have

$\dfrac{x+2}{x+6} = -6$

$x + 2 = -6 (x + 6)$

$x + 2 = -6x - 36$

$7x = -38$

$\implies x = \boxed{-\dfrac{38}7}$

8 0

2 years ago

Which ratio can be used to form a proportion with the given ratio?

sergeinik [125]

7 / 12 = 0.583333333

Divide them all to see which one equals 0.583333333.

A.

8 / 13 = 0.615384615

B.

10 / 15 = 0.666666667

C.

14 / 19 = 0.736842105

D.

21 / 36 = 0.583333333

Therefore, your answer is D.

7 0

3 years ago

Read 2 more answers

WHAT IS 585858585+555555555

Evgesh-ka [11]

The answer to that question is 22

6 0

2 years ago

Read 2 more answers

10% of $45.00 is $<br>what is the answer to this?

stepan [7]

The answer is 40.5 all u have to do is 45 x .10 then get 4.5 subtract that with 45