First, 10 1/2 is the same as 21/2
If there are 12 inches in a foot then
21/2*12=126 inches
Answer:
d. converges, -25
Step-by-step explanation:
An infinite geometric series converges if the absolute value of the common ratio is less than 1.
Here, the common ratio is 4/5:
| 4/5 | = 4/5 < 1
So the series converges. The sum of an infinite geometric series is:
S = a₁ / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = -5 and r = 4/5:
S = -5 / (1 − 4/5)
S = -25
The slope equation is y=mx+b where m is the slope and b is the y intercept. After plugging the numbers into the equation you should get y=-2x+6. Hope this helps!
Answer:
There are 15 numbers of chicken and 25 numbers of bulls.
Step-by-step explanation:
The pen had chickens and bulls. The pen contains 40 animals in total. The number of legs in the pen is 130 .
Let
a = number of chicken
b = number of bull
a + b = 40................(i)
A chicken has 2 legs and a bull has 4 legs.
The total legs can be represented as
2a + 4b = 130...........(ii)
combine the equation
a + b = 40................(i)
2a + 4b = 130...........(ii)
a = 40 - b
insert the value of a in equation(ii)
2(40 - b) + 4b = 130
80 - 2b + 4b = 130
80 + 2b = 130
2b = 130 - 80
2b = 50
divide both sides by 2
b = 50/2
b = 25
Insert the value of b in equation (i)
a + b = 40
a + 25 = 40
a = 40 - 25
a = 15
There are 15 numbers of chicken and 25 numbers of bulls.
