Answer:
There are 29 chickens and 19 sheep.
Step-by-step explanation:
Samantha has chickens and sheep on her farm.
Let the number of chickens be c.
Let the number of sheep be s.
Each chicken has one head and each sheep has one head.
She looked out one day and counted 48 animal heads. Each chicken has one head and each sheep has one head.
This means that the number of chickens and sheep add up to 48:
c + s = 48 ____________(1)
She also counted 134 legs. Each chicken has one head and each sheep has one head. This means that:
2c + 4s = 134 ________(2)
From (1),
c = 48 - s ____________ (3)
Put (3) in (2):
2(48 - s) + 4s = 134
96 - 2s + 4s = 134
Collecting like terms:
2s = 134 - 96
2s = 38
s = 38 / 2 = 19
Putting this back in (3):
c = 48 - 19
c = 29
There are 29 chickens and 19 sheep.
Q.34
The infinite geometric series is converges if |r| < 1.
We have r =1.002 > 1, therefore our infinite geometric series is Diverges
Answer: c. Diverges, sum not exist.
Q.35
The infinite geometric series is converges if |r| < 1.
We have r = 4/5 < 1, therefore our infinite geometric series is converges.
The sum S of an infinite geometric series with |r| < 1 is given by the formula :
We have:
substitute:
Answer: c. Converges, -25.
I would say $52 because if you say 50 it would be wrong because the lines don't meet exactly on 50
Answer:
12 students
Step-by-step explanation:
Here is the complete question
Alex surveyed 60 students about their favorite zoo animals and made the circle graph of the results shown below. A circle graph titled Favorite Zoo Animals is shown. There are five sections. One section is labeled Bears, one section is labled Lions, one section is labeled Monkeys, one section is labeled Elephants, and one section is labeled Giraffes.
If the angle measure of the section for giraffes is 72∘, how many students said giraffes were their favorite zoo animal?
Number of students that said the giraffe was their favorite zoo animal = (angle measuring the section for giraffes / sum of angles in a circle graph) x number of students surveyed
the sum of angles in a circle = 360 degrees
(72 / 360) x 60 = 12 students
