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4 years ago

Solve for "K" in the following equation. v=3k/t

Mathematics

2 answers:

Snezhnost [94]4 years ago

8 0

   v   = 3 k / t

Multiply each side by 't' :    v t   = 3 k

Divide each side by 3 :    v t / 3 = k

enyata [817]4 years ago

4 0

If you would like to solve the equation v = 3k/t for k, you can do this using the following steps:

v = 3k/t /*t
v * t = 3k /3
k = v * t / 3
k = vt/3

The correct result would be k = vt/3.

You might be interested in

42 is what percent of 140

agasfer [191]

42 is 30% of 140

This is evident because, 42÷140=0.3

And you should hopefully know your place values right?

So then we know that 3 is in the10ths place and so to change the decimal to a fraction we get 3/10 which then changed to a percent, is equal to 30.

Long story short, 42 is 30% of 140 :)

4 0

3 years ago

A system of equations is shown below. y = –x – 3 5x + 2y = 9 What is the solution to this system?

erastovalidia [21]

Answer:

$x=5\ and\ y=-8$

The solution of the system can be given as (5,-8).

Step-by-step explanation:

Given system of equations:

$y=-x-3$

$5x+2y=9$

To solve the given system of equations:

Solution:

We will use substitution to solve the given system.

We will substitute the $y$ values in terms of $x$ from the equation $y=-x-3$ into the other equation to solve for $x$

Substituting $y=-x-3$ into $5x+2y=9$ .

We have:

$5x+2(-x-3)=9$

Using distribution.

$5x-2x-6=9$

Combining like terms.

$3x-6=9$

Adding 6 both sides.

$3x-6+6=9+6$

$3x=15$

Dividing both sides by 3.

$\frac{3x}{3}=\frac{15}{3}$

∴ $x=5$

Plugging in $x=5$ into $y=-x-3$ .

We have,

$y=-5-3$

∴ $y=-8$

The solution of the system can be given as (5,-8).

4 0

3 years ago

45 is what percent of 60

STALIN [3.7K]

Answer:

75%

Step-by-step explanation:

$\frac{x}{100} = \frac{45}{60}$

45 x 100 = 4,500

4,500 divided by 60 = 75

7 0

3 years ago

The point C(2,3) is translated along a vector that is parallel to the line y=3x-2. The translation vector has magnitude square r

qaws [65]

Step-by-step explanation:

The translation vector v can be resolved into its x and y components, where x² + y² = 10 (Pythagoras' Theorem) and y = 3x

(parallel to y = 3x - 2, slope = 3).

We have x² + (3x)² = 10,

=> x² + 9x² = 10, 10x² = 10, x = 1 or x = -1.

When x = 1, y = 3. When x = -1, y = -3.

Therefore 2 possible translation vectors

are (1, 3) or (-1, -3).

First new C' = (2 + (1), 3 + (3)) = (3, 6).

Second new C'= (2 + (-1), 3 + (-3)) = (1, 0).

The possible images are (3, 6) and (1, 0).

4 0

3 years ago

These two matrices are unable to be added due to dimensional mismatch? True, false, both, unable to answer with the info given

Hoochie [10]

Answer:

false

Step-by-step explanation:

$\left[\begin{array}{c}-4\end{array}\right] +\left[\begin{array}{c}7\end{array}\right] =\left[\begin{array}{c}3\end{array}\right]$

Both of the matrices are 1 x 1 ("one by one"), so they can be added to produce a 1 x 1 matrix.

To add (or subtract) two matrices, they must be the same size.

(m x n) + (m x n) = (m x n)

m x n means a matrix has m rows and n columns. Dimensions are always named in that order: rows, then columns.

6 0

3 years ago