Answer:
1. 
2. x = 16
3. Part 1: P is the independent variable and S is the dependent variable.
Part 2: x is the independent variable and y is the dependent variable.
Step-by-step explanation:
1. To write the function notation for:
Sales tax is 7% of the total price.
Let the total price be
.
And sales tax be
.
As per the given statement:

Writing it in the function notation:

2. To find the value of x such that
and

Putting the value of 

3. To find the dependent and independent variable.
Independent variables are those whose value is not dependent on the other variable's values.
Dependent variables are dependent on the value of other variables.
In question 1:

P is the independent variable.
S is the dependent variable.
In question 2:
If we write it as follows:

x is the independent variable and y is the dependent variable.
Step-by-step explanation:
9x - 3y = 18
Solve for y:
1. 3y= 9x + 18
2. y= 3x + 6 (This is the equation you will graph)
To graph:
Make a table for y = 3x +6.
If x =0, y=6
If x =1, y=9
If x =-1, y=3
You could get as many points as you like, however you need at least TWO, to be able to draw the line.
Answer:
2 1/10 and 21/10
Step-by-step explanation:
2.1 is 2 + 0.1 when expanded.
2 is just 2 and then 0.1 as a fraction is 1/10. The mixed number would be 2 1/10.
The improper fraction is just 21/10 (convert the mixed number into improper form).
Converting from mixed number to improper: <u>Multiply the number in the front (in this case 2) by the denominator. </u>
<u />
<u>That is 2 x 10 which is 20. Then add that number (20) to the numerator. 20 + 1 is equal to 21. </u>
<u />
<u>21 would be our numerator and the denominator would stay the same (10). </u>
21/10 is the improper form.
Answer:
there are 8 candles
Step-by-step explanation:
(i) In order to obtain an equal amount of candle to candle holders Caroline has to buy enough packs to obtain a 1:1 ratio.
Therefore to obtain a 1:1 ratio:
=30 candles/18 candle holders * (18/30)
Therefore she needs to buy 18 packs of candles and 30 packs of candle holders to have exactly the same number of candles and holders
(ii) Caroline can make = 30*18 = 540 table decorations
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Answer:
x=32°
Step-by-step explanation:
2x+3x+20=180 co interior angle
5x=180-20
x=160/5=32°