OK. A proportional relationship will graph as a straight line passing through the origin. Or in the case of a table the value y/x will remain constant.
So for the 1st problem, create a table of the hourly pay that Josiah and Tillery get for their first 5 years. To start you off, the 1st 2 years will be:
Year 1: Josiah = 14, Tillary = 7
Year 2: Josiah = 16, Tillary = 9
Now for each year, calculate the value of Josiah's pay by Tillary's pay. If the relationship is proportional, you'll get the same value every time. Put that value into the table as well.
And for the 2nd problem, simply graph a line with the number of text messages per boy and per girl. Have the x-axis represent text messages per boy and the y-axis represent text messages per girl. Make a few points for various numbers of messages, and draw a line through those points.
Is the resulting line straight? If it's straight, does it pass through (0,0)?
7x-3=7x+5
+3 +3
7x=7x+8
-7x-7x
x=8
Answer:
56 as a product of primes using index notation is: 
Step-by-step explanation:
We need to write 56 as a product of primes.
Prime Numbers:
<em>Numbers that are divisible by 1 or itself.</em>
Now, writing 56 as product of primes
56 = 2 x 2 x 2 x 7
Now, Use index notation when giving your answer.
Index Notation:
<em>Express elements in power form i.e. if we have 2 x 2 we can write it as 2^2</em>
So, answer will be:


So, 56 as a product of primes using index notation is: 
Suppose you add <em>x</em> oz of 10% alcohol to <em>y</em> oz of pure alcohol. Then the mixture has a total volume of <em>x</em> + <em>y</em> oz, and we want to end up with 16 oz so that
<em>x</em> + <em>y</em> = 16
For each oz of the solution 10% used, 0.1 oz of alcohol is contributed, and each oz of pure alcohol contributes 1 oz of alcohol. The mixture is supposed to have a concentration of 14%, which comes out to 0.14*16 = 2.24 oz of alcohol. Then
0.1<em> x</em> + 1 <em>y</em> = 2.24
Solve for <em>y</em> in both equations:
<em>y</em> = 16 - <em>x</em>
<em>y</em> = 2.24 - 0.1 <em>x</em>
Set them equal to one another and solve for <em>x</em>, then for <em>y</em>.
16 - <em>x</em> = 2.24 - 0.1 <em>x</em>
13.76 = 0.9 <em>x</em>
<em>x</em> = 13.76/0.9 ≈ 15.29
<em>y</em> = 16 - 15.29 ≈ 0.71
So you need about 15.29 oz of 10% alcohol and 0.71 oz of pure alcohol to get the desired mixture.