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2 years ago

6/4=x/18 what is the answer to this question or proportion

2 answers:

8 0

6/4 = x/18
cross multiply
(4)(x) = (6)(18)
4x = 108
x = 108/4
x = 27 <==

and notice that 6/4 and 27/18 both reduce to 3/2 because these are equivalent fractions and proportions are nothing but equivalent fractions

kotegsom [21]2 years ago

4 0

The answer is x=27. your welcome. :)

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Two pairs of statements about Jeff's housing expenditures are given below. How can both pairs of statements be true?

Irina18 [472]

Explanation:

Pair 1 is true if Jeff's monthly income is $600/20% = $3,000.

Pair 2 is true if Jeff's monthly income is $1200/10% = $12,000.

Both pairs can be true if Jeff's monthly income increased by a factor of 4 in the 20 years from 1990 to 2010.

Obviously, Jeff spent more on housing in 2010. (Fortunately for Jeff, that larger expenditure was a smaller fraction of his income.)

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2 years ago

For the following right triangle, find the side length x. Round your answer to the nearest hundredth.

wlad13 [49]

Answer:

4.80

Step-by-step explanation:

To find the solution to this problem we will use the Pythagoras theorem.

${c}^{2} = {a}^{2} - {b}^{2}$

$= \sqrt{ {12}^{2} - {11}^{2}} \\ = 4.7958... \\ = 4.8$

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2 years ago

Find the inverse of the given function.

kodGreya [7K]

For this case we must find the inverse of the following function:

$f (x) = - \frac {1} {2} \sqrt {x + 3}$

We follow the steps below:

Replace f(x) with y:

$y = -\frac {1} {2} \sqrt {x + 3}$

We exchange the variables:

$x = - \frac {1} {2} \sqrt {y + 3}$

We solve for "y":

$- \frac {1} {2} \sqrt {y + 3} = x$

Multiply by -2 on both sides of the equation:

$\sqrt {y + 3} = - 2x$

We raise both sides of the equation to the square to eliminate the radical:

$(\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2$

We subtract 3 from both sides of the equation:

$y = 4x ^ 2-3$

We change y by f ^ {- 1} (x):

$f ^ {- 1} (x) = 4x ^ 2-3$

Answer: $f ^ {- 1} (x) = 4x ^ 2-3$

7 0

3 years ago

Read 2 more answers

Please help with this problem

HACTEHA [7]

Answer:

x = 2

Step-by-step explanation:

Multiply both sides by (x-5) and expand:

(x+4)/(x-5)*(x-5) = -2(x-5)

x+4 = -2x+10

Subtract 4 from both sides:

x+4-4 = -2x+10-4

x = -2x+6

Add 2x to both sides:

x+2x = -2x+6+2x

3x = 6

Divide both sides by 3:

3x/3 = 6/3

x = 2

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2 years ago

Read 2 more answers

Ya+yv=t What is the solution for y

Gelneren [198K]

Answer:

y = $\frac{t}{a+v}$

Step-by-step explanation:

Given

ya + yv = t ← factor out y from each term on the left side

y(a + v) = t ( divide both sides by a + v )

y = $\frac{t}{a+v}$

3 0

2 years ago