Answer:
Sister = 15 years old
Brother = 12 years old
Step-by-step explanation:
Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X
Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have
B = 3X
S = 4X
B-3 = (3/4)(S-3)
Therefore, we have a system of equations
B = (4/5)S
B-3 = (3/4)(S-3)
Substitute (4/5)S for B into the second equation to only have one variable
(4/5)S - 3 = (3/4)(S-3)
(4/5)S - 3 = (3/4)S - 9/4
add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient
(1/20)S = 3/4
multiply both sides by 20 to isolate the S
S = 15
B = (4/5)S = 12
The longest spin of a basketball on one finger is 255 minutes or 4.25 hours.
Step-by-step explanation:
the longest spin of a basketball on one finger is 255 minutes.
We need to find how many hours is that.
So, we need to convert 255 minutes into hours.
We know that,
60 minutes = 1 hour
Using Unitary method:
60 minutes = 1 hour
1 minute = 1/60 hour
255 minutes = 1/60 * 255 hour
255 minutes = 255/60 hour = 4.25 hour
255 minutes is 4.25 hour.
So, The longest spin of a basketball on one finger is 255 minutes or 4.25 hours.
Keywords: Convert Minutes to Hour
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Answer:
Hey there!
These would also be acute angles.
Let me know if this helps :)
As soon as possible after the lecture
Answer: A: V is an acute angle, so it is less than 90 degrees. I would say it's around 45 degrees.
B: K is also an acute angle, but it is fairly close to being 90 degrees, so I'd say around 80 degrees.
C: Q is an obtuse angle, so it is over 90 degrees but less than 180 degrees. I would say it's around 110 degrees.
D: Y is an obtuse angle. It is very close to 180 degrees. I would say it's around 160 degrees.
Step-by-step explanation:
