Hi!
So we have to make a system of equations here.
Let sibling 1 be O and sibling 2 be Y (for older and younger)
So:
O + Y = 64
O = 64 - Y
(Either one works)
The older sibling is 6 years older.
O = Y + 6
Make everything in terms of Y.
64 - Y = Y + 6
Same to both:
58 = 2y
2y = 58
Divide by 2 on both sides:
y = 29
Since the older sibling is 6 years older:
29 + 6 = 35
Y = 29
O = 35
Let me know if you have any questions.
Answer: 5 and 4
Step-by-step explanation: 5+2=7 amount total per person. 65-30 equals amount able to spend on people. 35÷7=5 being the largest amount possible.
Answer: 6.8%
Step-by-step explanation:
We need to find both percentage so we can determine the increase.
Finding percentage of $10 return: 1% return
Finding percentage of $78 return: 7.8% return
To find the percent increase we do 7.8%-1.0% = 6.8%
Number of solutions: no roots
Type of solution: Not Real
Step-by-step explanation:
We need to identify the number of solutions and their types using the discriminant.
We are given: 
Rearranging:
Discriminant can be found by: 
where b=-40, a=10 and c=41
Putting values:
So, Discriminant is -40
If the discriminant is less than zero i.e -40 then there are no real roots.
So, Number of solutions: no roots
Type of solution: Not Real
Keywords: discriminant
Learn more about discriminant at:
#learnwithBrainly
Step-by-step explanation:
60: 180: 240
hope it helps!
