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Anika [276]
3 years ago
6

You are a salesperson for acme toys. Every day you earn $30 plus two ninths of your sales. What dollar amount of sales do you ne

ed today to earn $100?
Mathematics
2 answers:
My name is Ann [436]3 years ago
5 0

the salesperson earns a fixed cost of $ 30 plus 2/9th of his sales

we have to find how many sales he gets to earn $ 100 for one day

so lets say that the number of sales for the day - x sales

and he earns 2/9th of his sales

therefore amount he earns for x sales is - \frac{2}{9}* x = \frac{2x}{9}

this value plus his fixed earnings of $ 30 per day

so the amount he earns is 2x/9 + 30

this equals $ 100

so we can write the following equation

\frac{2x}{9} + 30 = 100

\frac{2x}{9} = 100 - 30

\frac{2x}{9} = 70

2x = 70 * 9

2x = 630

x = 315

so the amount of sales he earns for that day is 315 sales


Naddika [18.5K]3 years ago
4 0
x-\ amount\ of\ sales\\\\
30+\frac{2}{9}*x=100\ \ \ |Subtract\ 30\\\\
\frac{2}{9}*x=70\ \ \ |*9\\\\
2x=630\ \ \ |:2\\\\x=315\\\\
You\ need\ 315\ sales.
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The matching is shown below.

Step-by-step explanation:

The given sets are defined as

A = {x | x < 1}

It means all the values of x which are less than 1.

B = {x | x ≥ 5}

It means all the values of x which are greater than or equal to 5.

C = {x | x = 5}

It means all the value of x is 5.

Union of two sets contains all the elements of both sets.

Intersection of two sets contains only common elements of both sets.

The matching is shown below.

        Sets                              Correct value

1.     A ∪ B                         {x | x < 1 or x ≥ 5}

2. A ∪ C                         {x | x < 1 or x = 5}

3. B ∪ C                         {x | x ≥ 5}

4. A ∩ B                         Ø

5. B ∩ C                         {x | x = 5}

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