Answer: Eric has 20 stickers
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Explanation:
x = number of stickers Sally starts with
y = number of stickers Eric has
x/y is the ratio of the two values. This ratio is 3/5. So x/y = 3/5 which cross multiplies to 5x = 3y. We can divide both sides by 5 to end up with x = 3y/5
"Sally the bought another six stickers" meaning she starts with x and bumps up to x+6. Eric's sticker count stays the same. The ratio is now (x+6)/y. We can replace the x with 3y/5 and simplify
(x+6)/y = (3y/5+6)/y
(x+6)/y = (3y/5+30/5)/y
(x+6)/y = [ (3y+30)/5 ]/y
(x+6)/y = (3y+30)/(5y)
Now set this equal to the new ratio 9/10 and solve for y
(3y+30)/(5y) = 9/10
10(3y+30) = 9(5y) ... cross multiply
30y+300 = 45y
300 = 45y-30y
300 = 15y
15y = 300
y = 300/15
y = 20
Eric has 20 stickers. At this point you can stop as your teacher doesn't seem to want to know Sally's count. However, I'll keep going to show how to get that value.
x = 3y/5
x = 3*20/5 ... replace y with 20
x = 60/5
x = 12
Sally starts off with 12 stickers. Note how x/y = 12/20 = 3/5 meaning that the ratio x:y = 12:20 reduces to 3:5 (divide both parts by 4)
If we add 6 stickers to Sally's count, then she now has x+6 = 12+6 = 18 stickers. It leads to the ratio 18:20 = 9:10 (divide both parts by 2). So the answer is confirmed.
If the two lines a re parallel, they would have the same slop which means the red line would have a slope of - 2/3
Answer:
A. it is a function because each input value has exactly one output.
Step-by-step explanation:
A relation is considered to be a function when each domain value (input), X, of the function has exactly one range value (output), Y, that is related to it. This means a domain value, X, (input) of a function cannot have two different range values (output) that are related to it.
However, two or more different domain values (input) can give the same range value (output).
The table of values given shows different input values, of which each has exactly one output value. However, the different input values give the same output.
Therefore, "it is a function because each input value has exactly one output".
Answer: $38
Step-by-step explanation:
you have add 20 & 18 which would give you 38
Answer:
x=√−16n−28 or x=−√−16n−28
Step-by-step explanation:
Step 1: Add -16n to both sides.
x2+16n+28+−16n=0+−16n
x2+28=−16n
Step 2: Add -28 to both sides.
x2+28+−28=−16n+−28
x2=−16n−28
Step 3: Take square root.
x=√−16n−28 or x=−√−16n−28