Answer:
<em>0 $20 bills and 10 $5 bills</em>
<em>1 $20 bills and 6 $5 bills</em>
<em>2 $20 bills and 2 $5 bills</em>
Step-by-step explanation:
<u>Equations</u>
Let's set:
x=number of $5 bills
y=number of $20 bills
The total amount Sara has is given by
5x+20y
And we know it's equal to $50, thus:
5x+20y=50
Dividing by 5
x+4y=10
We would need another condition to solve for x and y, but we can determine some combinations that solve the problem.
Solving for x:
x=10-4y
Since both x and y are integers and cannot be negative:
10-4y≥0
Swapping sides:
4y≤10
Dividing by 4:
y≤2.5
Thus, y can only have the values {0,1,2}
For y=0
x=10-4*0=10
x=10
For y=1
x=10-4*1=6
x=6
For y=2
x=10-4*2=2
x=2
Thus, the possible combinations are:
0 $20 bills and 10 $5 bills
1 $20 bills and 6 $5 bills
2 $20 bills and 2 $5 bills
Answer:
Step-by-step explanation:
'x = -3', when graphed, passes through the point (-3,7) and (-3,0).
Since the line passes (-3,0), the x-intercept is -3.
(-3, 7) lies on the equation.
I have attached a picture of the graphed equation.
'x = -3' should be the correct answer.
Answer: The filled out table is shown below in the attached image
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Explanation:
The letters A through J are one way to fill out the table. Though there are other possible orders.
Start at letter A, which is from the fact we have 40 people total
Then move to letter B. This is the total number who like pasta (26)
We have C = A-B = 40-26 = 14 people who don't like pasta
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Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.
F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.
Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.
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So we have these values
- A = 40
- B = 26
- C = 14
- D = 21
- E = 19
- F = 4
- G = 17
- H = 9
- J = 10