4.) You are a Brusher/Bather in a grooming facility. It's the end of the day and you have to split up all the

vesna_86 [32]

Answer:

180 hours

Step-by-step explanation:

Surfer #1 takes a capsule every 6 hours, but this is also equal to 2 capsules every 12 hours. Surfer #2 takes 1 capsule every 12 hours. Thus, both surfers take a total of 3 capsules every 12 hours.

By dividing 45 total capsules they need to consume by 3, the number of capsules the surfers consume every 12 hour, you get the total number of hours times 12 it takes for them to consume 45 capsules. 45 / 3 = 15, so it takes 15 * 12 hours for them to consume 45 capsules. This is equal to 180 total hours.

6 0

3 years ago

Spencer has 1/3 pound of nuts he divides the nuts equally into four bags what fraction of a pound of nuts is in each bag

larisa86 [58]

First, divide 1/3 by four, which is 1/12. So that means the four bags will each contain 1/12 a pound of nuts.

8 0

3 years ago

Given the equation y=2x+3, write a second equation that would create an independent consistent linear system

STALIN [3.7K]

Two equations will be called independent if their graphs touch only on one point (they have one solution for the x-value and one solution for the y-value), and two equations will be dependent if they touch at every point (there is an infinite number of solutions).

This definition of independent and dependent equations is shown in the following diagram. Consider that there are two lines, one red line and one blue line:

They are independent if they touch only on one point and dependent if they touch at every point (they are the same line).

In our case, we are asked to write an equation in order to create an independent consistent linear system.

Note: Consistent means that the system has a solution.

First, we graph the given equation:

$y=2x+3$

There are many different equations that will form an independent consistent linear system with this equation.

We are going to choose the following line equation:

$y=-x+1$

Because when we graph this equation next to the previous line:

We can see that they touch at one point, thus there is a solution and the system is independent --> we have created an independent consistent linear system.

Answer:

$y=-x+1$