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2 years ago

Choose the function

Mathematics

1 answer:

WARRIOR [948]2 years ago

4 0

The last option

I hope this is right let me know if its wrong and ill correct it

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Owen is making lemonade from concentrate. The number of quarts of water he needs is 4 times the number of quarts of concentrate.

tiny-mole [99]

Answer:

The system of equation that models the situation is:

w = 4c

w + c = 100

And c = 20 quarts, 4c = 80 quarts and w = 80 quarts.

Step-by-step explanation:

1. Let's review the information given to us to answer the problem correctly:

Owen wants to make 100 quarts of lemonade

Number of quarts of water 4 times the number of quarts of concentrate

2. Which of the following systems of equations models this situation?

c = number of quarts of concentrate

w = number of quarts of water

Like the alternatives of systems of equations that model the situation were not given, let's write them by ourselves, this way:

w = 4c (Number of quarts of water 4 times the number of quarts of concentrate)

w + c = 100 (Owen wants to make 100 quarts of lemonade)

Now, let's solve for c and w, this way:

w = 100 - c

Substituting w in the first equation, we have:

100 - c = 4c

100 = 5c

c = 20 ⇒ 4c = 20 * 4 = 80

w = 4 * 20

w = 80

The system of equation that models the situation is:

w = 4c

w + c = 100

And c = 20 quarts, 4c = 80 quarts and w = 80 quarts.

4 0

2 years ago

Jenna concludes that (4,9) is the solution to the system of these two equations. which of the following justifies her conclusion

nalin [4]

Answer:

a. The point (4,9) appears in both tables

Explanation:

Note: This question can be solved without the need of the tables

A solution of a system of equations is defined as a point (or set of points) that satisfy both equations

This means that, this point should belong to all the equations in the system

Now, a table is used to show a set of points that belong to a certain line

This means that, all vales in the table belong to the line they represent

Since the point (4,9) appears in both tables, therefore, it belongs to both lines and, therefore, is a solution to the system of equations consisting of these two lines

Hope this helps :)

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2 years ago

The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 201

S_A_V [24]

Answer:

The mean is 45.178

The standard deviation is 10.3325

Step-by-step explanation:

The mean is 45.178

The standard deviation is 10.3325

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Matthew has three brothers: Alex, Mark, and Luke. The sum of their three ages is 12. List all the different combinations of ages

arsen [322]

Answer:

Step-by-step explanation:

Let Alex's age = x

Mark's age = y

Luke's age = a

x + y + z = 12

The possible combinations for their age are

1. 6, 3, 3

2. 3, 3, 6

3. 4,4, 4

4, 2, 2, 8

5. 8, 2, 2

6. 2, 8, 2

7. 9, 2, 1

Etc the age can keep going as long as you can find any three numbers and add them to give you 12

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Your Answer Will Be 15$

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