All categories

3 years ago

Solve for x 8/14=x/37

Mathematics

1 answer:

Setler79 [48]3 years ago

4 0

Hello there!

$\frac{8}{14}=\frac{x}{37}$

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First you had to switch sides of the equation.

$\frac{x}{37}=\frac{8}{14}$

Then you had to cancel by the common factor of 2.

$\frac{x}{37}=\frac{4}{7}$

You had to multiply by 37 from both sides of the equation.

$\frac{37x}{37}=\frac{4*37}{7}$

Simplify it should be the correct answer.

$x=\frac{148}{7}$

Answer⇒⇒⇒x=148/7

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

You might be interested in

Demand for Tablet Computers The quantity demanded per month, x, of a certain make of tablet computer is related to the average u

soldier1979 [14.2K]

$x = f ( p ) = \frac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } } \\\\ \qquad { p ( t ) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \quad ( 0 \leq t \leq 60 ) }$

Answer:

12.0 tablet computers/month

Step-by-step explanation:

The average price of the tablet 25 months from now will be:

$p ( 25) = \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { 25 } } + 200 \\= \dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \times 5 } + 200\\\\=\dfrac { 400 } { 1 + \dfrac { 5 } { 8 } } + 200\\p(25)=\dfrac { 5800 } {13}$

Next, we determine the rate at which the quantity demanded changes with respect to time.

Using Chain Rule (and a calculator)

$\dfrac{dx}{dt}= \dfrac{dx}{dp}\dfrac{dp}{dt}$

$\dfrac{dx}{dp}= \dfrac{d}{dp}\left[{ \dfrac { 100 } { 9 } \sqrt { 810,000 - p ^ { 2 } } }\right] =-\dfrac{100}{9}p(810,000-p^2)^{-1/2}$

$\dfrac{dp}{dt}=\dfrac{d}{dt}\left[\dfrac { 400 } { 1 + \dfrac { 1 } { 8 } \sqrt { t } } + 200 \right]=-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}$

Therefore:

$\dfrac{dx}{dt}= \left[-\dfrac{100}{9}p(810,000-p^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt { t } \right]^{-2}t^{-1/2}\right]$

Recall that at t=25, $p(25)=\dfrac { 5800 } {13} \approx 446.15$

Therefore:

$\dfrac{dx}{dt}(25)= \left[-\dfrac{100}{9}\times 446.15(810,000-446.15^2)^{-1/2}\right]\left[-25\left[1 + \dfrac { 1 } { 8 } \sqrt {25} \right]^{-2}25^{-1/2}\right]\\=12.009$

The quantity demanded per month of the tablet computers will be changing at a rate of 12 tablet computers/month correct to 1 decimal place.

8 0

3 years ago

A cube is numbered 1 through 6. If the cube is rolled twice, how many of the possible outcomes will have two even numbers? 3 9 1

mixer [17]

So 3/6 of the numbers on a cube are even. It will be rolled twice so you multiply 3/6 by 3/6 and get 9/36. This means 9 of the 36 possible outcomes will have 2 even numbers. It could be 2 and 2, 2 and 4, 2 and 6, and so on.

3 0

2 years ago

Read 2 more answers

Gary earned a gross pay of $1,047.30 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amou

Westkost [7]

To find the answer, we multiply 1,047.30 by 6.2% which is 0.062 in percentage.
1047.30 x 0.062 = 64.93
64.93 is being taken away.

3 0

3 years ago

Read 2 more answers

PLEAS HELP The measures 2^3 , 4, and 2^7 create a right triangle. True false

natali 33 [55]

Answer: true