Write a real world situation that could be modeled by the equation 30x=48+22x

1 answer:

5 0

For this case we have the following equation:
30x = 48 + 22x
An example of real life is:
"Laura earns $ 30 per hour at her job, Maria earns 22 dollars per hour at her job plus 48 $ of fixed salary, find the number of hours for which both get the same profit"
In the given equation,
x: represents the time in hours.

You might be interested in

The probability that a student correctly answers on the first try (the event

Lynna [10]

Check attached file for solution.

6 0

3 years ago

If Pentagon ABCDE was dilated to create Pentagon A'B'C'DE', what rule was used?

svetlana [45]

Answer:

<em>B</em> $(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)$

Step-by-step explanation:

<u>Dilations</u>

Given a point A(x,y) and a scale factor k the dilated image of A, called A' is calculated as A'=(kx,ky), assuming the same scale factor is applied in both axes.

The pentagon ABCDE was dilated to create pentagon A'B'C'D'E'. To find the dilaton rule used, we must find two clear points where the coordinates of both axes can be easily read from the graph.

Point C(-2,0) maps to C'(-5,0). This gives us the scale factor for the x-axis of -5/(-2)= 5/2.

The y-coordinate of E is 2 and the y-coordinate of E' is 5. This gives us the same scale factor for the y-axis of 5/2.

Thus, the rule to dilate the pentagon is:

B $\mathbf{(x,y) \rightarrow \left(\frac{5}{2}x,\frac{5}{2}y\right)}$

5 0

2 years ago

What is the length of side c, given a = 10, b = 8, and c = 105°?

posledela

We can calculate using cosinus method in triangle
c² = a² + b² - 2ab cos c

Plug in the number to the formula
c² = a² + b² - 2ab cos c
c² = 10² + 8² - 2(10)(8) cos 105°
c² = 100 + 64 - 160 cos 105°
c² = 164 - 160 (-0.26)
c² = 164 + 41.6
c² = 205.6
c = √205.6
c =14.34

C is 14.34 unit length

5 0

2 years ago

Pablo mixes three units white paint and one unit of black paint to make gray paint. What two equations show the relationship bet

svet-max [94.6K]

It’s b and when you put w to egbert

8 0

2 years ago

Grace is practicing free throws. The probability that she will shoot the ball into the basket is 5/9 . What is the probability t

Naddika [18.5K]

Answer:

There is a 25/81 probability that Grace will make both of her next two shots.

Step-by-step explanation:

The probability of her making the first shot is 5/9.

The probability of her also making the shot after that is still 5/9, that does not change.

To find the probability of both of those events, multiply the fractions.

5/9 * 5/9

25/81.

3 0

2 years ago