Answer:
A=-2
B=-8
Step-by-step explanation:
In order for the system of linear equations to have infinitely many solution, they must be the same equation.
Ax-y=8
2x+y=B
We need to choose A and B so they are the same equation.
I notice they are both in the same form but in the second column you have opposites;
the -y and y.
So im going to multiply either equation by -1 so that part is exactly the same.
Don't choose both; choose only one.
Let's multiply the first equation by -1.
Doing this gives us the following:
-Ax+y=-8
2x+y=B
So now we can choose A and B so these equations appear exactly the same.
We need -A=2 and B=-8.
-A=2 implies A=(opposite of 2) which is -2.
Conclusion:
A=-2
B=-8
Answer: 64.29%
Step-by-step explanation:
Let the total earnings of the Lee family in May be x
Amount earned by Mr Lee in May = 60% of x = 0.6x
Amount earned by other family members in May = x - 0.6x (total earnings - Mr Lee's earnings) = 0.4x
Amount earned by Mr Lee in June = 20% more than what Mr Lee earned in May.
That is, amount earned by Mr Lee in June = 1.2 × 0.6x = 0.72x
Amount earned by other members of the family in June remains unchanged, that is = 0.4x
Total amount earned by the Lee family in June = 0.72x + 0.4x = 1.12x
Percentage of total earnings in June earned by Mr. Lee = (0.72x/1.12x) × 100% = 64.29%.
QED!
10 (> or = to) 2.00 + 0.75x
Sorry. I don't have that symbol on my keyboard. but her ten dollars has to be greater than or equal to whatever the cost is so that's why that symbol has to be used in this case. 2.00 is the flat rate and add 0.75 multiplied by however many miles she is taking!
Hope this helps!
Answer:
15 boys
Step-by-step explanation:
There are 27 students. The number of girls is only 4/5 of the number of boys. I started by splitting the class. 14 boys and 13 girls doesn't work, so I changed it to 12 and 15. If it was 12 girls and 15 boys, the girls would have 4/5 of the boys, so it must be 12 girls and 15 boys.
