What is the answer? pls help

Suppose the average yearly salary of an individual whose final degree is a master's is $41 thousand less than twice that of an

alexdok [17]

Answer:N/B The amount is in thousands

The total amount earned by a Bachelor's person be $x:

amount earned by a masters person will be $(2x-38)

Total amount earned by the two individuals will be:

x+(2x-38)=115

solving for x we get:

x+2x-38=115

3x=115+38

3x=153

x=153/3

x=51

also:

2x-38=2*51-38=64

therefore we conclude that master's individual earns average of $ 64,000 while the Bachelor's individual earns $51,000.

Step-by-step explanation:plzzzzz give brainleyest

6 0

3 years ago

The equation 2y = 8x represents a proportional relationship. What is the constant of proportionality?

Sphinxa [80]

Answer:

C) 4

Step-by-step explanation:

Given equation:

$2y=8x$

The above equation represents proportional relationship.

To find the constant of proportionality.

Solution:

The equation representing proportional relationship is given by:

$y=kx$

where $k$ represents constant of proportionality.

So, in order to find the value of $k$ for the given proportionality relationship, we will solve for $y$

We have:

$2y=8x$

Solving for $y$

Dividing both sides by 2.

$\frac{2y}{2}=\frac{8x}{2}$

$y=4x$

∴ $k=4$

Thus, the constant of proportionality = 4.

4 0

3 years ago

Tell whether the angels are complementary or supplementary then find x

NNADVOKAT [17]

Answer:

Supplementary angles

x = 31

Step-by-step explanation:

Since, (3x + 25)° and 2x° are straight line angles. Therefore they are supplementary angles

(3x + 25)° + 2x° =180°

(5x + 25)° = 180°

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 155/5

x = 31

8 0

3 years ago

Plz help urgent !!!! will give the brainliest !!

Mkey [24]

Answer:

$X = \begin{bmatrix}1&3\\ 2&4\end{bmatrix}$

Step-by-step explanation:

The question we have at hand is, in other words,

$\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}\left(X\right)=\begin{bmatrix}8&20\\ \:3&7\end{bmatrix}$ - where we have to solve for the value of $X$

If we have to isolate $X$ here, then we would have to take the inverse of the following matrix ...

$\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}$ ... so that it should be as follows ... $\begin{bmatrix}4&2\\ \:1&1\end{bmatrix}^{-1}$

Therefore, we can conclude that the equation as to solve for " $X$ " will be the following,

$X=\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}$ - First find the 2 x 2 matrix inverse of the first portion,

$\begin{bmatrix}4&2\\ 1&1\end{bmatrix}^{-1}$ = $\frac{1}{\det \begin{pmatrix}4&2\\ 1&1\end{pmatrix}}\begin{pmatrix}1&-2\\ -1&4\end{pmatrix}$ = $\frac{1}{2}\begin{bmatrix}1&-2\\ -1&4\end{bmatrix}$ = $\begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}$

At this point we have to multiply the rows of the first matrix by the rows of the second matrix,

$X = \begin{bmatrix}\frac{1}{2}&-1\\ -\frac{1}{2}&2\end{bmatrix}\begin{bmatrix}8&20\\ 3&7\end{bmatrix}$ ,

$X = \begin{pmatrix}\frac{1}{2}\cdot \:8+\left(-1\right)\cdot \:3&\frac{1}{2}\cdot \:20+\left(-1\right)\cdot \:7\\ \left(-\frac{1}{2}\right)\cdot \:8+2\cdot \:3&\left(-\frac{1}{2}\right)\cdot \:20+2\cdot \:7\end{pmatrix}$ - Simplifying this, we should get ...

$\begin{bmatrix}1&3\\ 2&4\end{bmatrix}$ ... which is our solution.

7 0

3 years ago

Tom works at an aquarium shop cleaning reef tanks. His job is to drain the tank. How much water is initally in

insens350 [35]

Answer is 175

_________

5 0

2 years ago