- Miriam wants to paint her room green. She makes a mixture of 50% yellow paint and 50% blue paint to create the color she likes

2/35possible outcomes:5*7=35fresh or apple = 22/35

To formulate the system, it's necessary to consider the slope of each line along with at least one point from each line. The two lines will connect each plane's location to their destination airport. It's important to note that the airport's coordinates represent the intersection of these two lines, corresponding to the solution of the system. First, the slope of the line from airplane one to the airport is: m = 2; this can be observed by plotting the two points. From airplane 1's location, the rise is 8 units while the run is 4 units to reach the airport, making the slope 8 divided by 4 = 2. We then insert the slope and point (2,4) into the point-slope form: y - 4 = 2(x - 4), which can be rearranged to standard form 2x - y = 0. For airplane two, the slope to the airport is obtained by observing the vertical decrease of 3 and a horizontal increase of 9 as we move from the airport to airplane 2. We then substitute the slope and the point (15,9) into the point-slope form: y - 9 = -1/3(x - 15), which can be rearranged to the standard form: x + 3y = 42. Consequently, the system of equations is: 2x - y = 0 and x + 3y = 42. Multiplying the first equation by 3 produces a system of: 6x - 3y = 0 and x + 3y = 42. Adding these equations results in the equation 7x = 42. Thus, x = 6, and by substituting this value back into 2x - y = 0, we determine y = 12. Thus, we demonstrate that the airport's coordinates do indeed comprise the solution to our system.

2(4x-11) = 10

Method 1:
Divide both sides by 2:




Then add 11 to both sides:





Finally divide both sides by 4





Method 2:

Use the distributive property:







Add 22 to both sides:





Then divide both sides by 8

Answer:

1.  $14.88

2.  $12.40

Step-by-step explanation:

Translated into English:

A company is responsible for transporting office cabinets over a distance of 425km. The charge is R $ 2.10 for each kilometer journeyed. If the cabinets are assembled, the vehicle can carry 60 units. When taken apart, the capacity expands by 6 times. We need to determine: 1- The cost for each assembled cabinet? 2- The savings achieved per cabinet when they are disassembled.

Solution:

For 425 km at R $2.10 per km:

425 * 2.10 = $892.50 total expenditure

For the 60 assembled cabinets, the cost for each is calculated as:

Cost per assembled cabinet = 892.5/60 = $14.875, rounding to $14.88

When disassembled, the capacity becomes:

60 * 6 = 360

The cost per cabinet is then:

892.5/360 = $2.48

The savings indicate how much is saved compared to assembled cabinets:

14.88 - 2.48 = $12.40

Savings = $12.40