If TU = 4, UV=2x, and 7V=x+ 10, what is UV?

Mathematics

1 answer:

pashok25 [27]1 year ago

6 0

The equation is solved below.

What is an equation?

There are several methods to define a mathematical equation. An b is a mathematical statement that declares the equality of two mathematical expressions in their most basic form. For instance, in the equation 3x + 5 = 14, the two expressions 3x + 5 and 14 are separated by the 'equal' sign. The simplest and most fundamental algebraic equations in mathematics have one or more variables.

Given equations,

TU = 4 => U = 4/T

UV = 2x => V = 2x/U => V = xT/2 => x = 2V/T

Now, 7V = x + 10

=> 7V = 2V/T + 10

=> 7V X 4/U = 2V + 10 X 4/U

=> 28V/U = (2UV + 40)/U

=> 14V = UV + 20

=> UV = 14V - 20

To know more about an equation, click on the link

brainly.com/question/1214333

#SPJ9

You might be interested in

A tub filled with 50 quarts of water empties at a rate of 2.5 quarts per minute. let w = quarts of water left in the tub and t =

Sholpan [36]

This is a linear relationship. The slope-intercept form of the linear equation is:

$y=mx+c$

Where,

m is the rate of change (positive if increasing rate and negative if decreasing rate)
c is the y intercept, or the initial value

Rate of change is 2.5 quarts per minute (it is decreasing so m is -2.5)

Initial value is 50 quarts, so c is 50.

Plugging in the values we get $y=-2.5x+50$ .

Changing variables to w instead of y and t instead of x, gives us,

$w=50-2.5t$ . Where w is warts of water left in the tub and t is the time in minutes.

There is no viable solution when t=30 because at t=20, w=0 ( $0=50-2.5(20)$ ). It means after 20 minutes, there is no water left. So t=30 minutes doesn't make sense.