The points (8,18) and (24,54) form a proportional relationship. Find the slope of the line through the

Mathematics

2 answers:

stiks02 [169]2 years ago

6 0

Answer:

slope

m= $\frac{9}{4}$

best of luck!

Ksenya-84 [330]2 years ago

6 0

Answer: 4 3/8 ≈ 4.38

Step-by-step explanation:

To start off, note that 4 3/8 is a mixed number, also known as a mixed fraction. It has a whole number and a fractional number. We have labeled the parts of the mixed number below so it is easier to follow along.

4 = Whole number

3 = Numerator

8 = Denominator

To get 4 3/8 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.Step 1: Multiply the whole number by the denominator:

4 × 8 = 32

Step 2: Add the product you got in Step 1 to the numerator:

32 + 3 = 35

Step 3: Divide the sum from Step 2 by the denominator:

35 ÷ 8 = 4.375

That's it folks! The answer to 4 3/8 in decimal form is displayed below:

4 3/8 ≈ 4.38

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5.3.4 Journal: Two-Variable Systems Elimination I need urgent help

max2010maxim [7]

Answer:

1) X stands for individual acts and y, group acts. 2) Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). 3) $S=\left \{ 5,10 \right \}$

Step-by-step explanation:

Completing with what was found:

1) Here is a summary of the scenario your classmate presented for the talent show:Main show The main show will last two hours and will include twelve individual acts and six group acts.Final show The final show will last 30 minutes and will include the top four individual acts and the top group act.The equations he came up with are: 12x+ 6y= 120, 4x+ y= 30

1. What do x and y represent in this situation?

X stands for individual acts and y, group acts.

Besides that, In the system of equation, they represent the time for x, and the time for y.

2. Do you agree that your classmate set up the equations correctly? Explain why or why not.

Yes, that's right. Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). Either for 120 minutes or 30 minutes length. And their sum totalizing the whole period.

3. Solving the system by Elimination

$\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\:*(-3)\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ -12x+ -3y= -90\end{matrix}\right.\\3y=30\Rightarrow y=10\\4x+(10)=30\Rightarrow 4x=20\Rightarrow x=5\\S=\left \{ 5,10 \right \}$