Answer:
Step-by-step explanation:
Let's use the variable Y to represent the length of time (in seconds) that the traffic light remains yellow at a speed of x miles per hour. According to the information given, the time the light is yellow (Y) is 1 second more than 0.05 times the speed limit (x). We can write this as:
Y = 0.05x + 1
In this equation:
Y represents the length of time the light is yellow in seconds.
x represents the speed limit in miles per hour.
The equation shows that the time the light is yellow increases linearly with the speed limit, with an additional 1-second buffer.
Answer:
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Answer:
Area=πr²
=3.14×(6/2)²
=28.26 ft²
Step-by-step explanation:
Answer:
12 chickens and 11 pigs
Step-by-step explanation:
We know that...
Chickens have 2 feet and 1 tail.
Pigs have 4 feet and 1 tail.
Let c represent chickens.
Let p represent pigs.
We need to create two equations. One for feet, and one for tails.
Tails:
Because each animal has 1 tail, we can say that the number of pigs, (p) plus the number of chickens, (c) must equal 23. So...
c + p = 23
Feet:
Because each chicken has two feet, and each pig has 4 feet, we can say that 2 times the number of chickens, (c) plus 4 times the number of pigs, (p) needs to equal 68. So...
2c + 4p = 68
Now we have two equations.
2c + 4p = 68
and
c + p = 23
We can use the substitution method to find c and p. The substitution method involves solving for one of the variables with one of the equations, then placing it into the other equation, so that you only have one variable to solve for, which you can do with simple algebra.
Solve for c
c + p = 23
c = 23 - p
Add that to the other equation.
2c + 4p = 68
2(23 - p) + 4p = 68
Solve for p
46 - 2p + 4p = 68
46 + 2p = 68
2p = 22
p = 11
Now that we know p, we can plug that into one of the equations to find c.
c + p = 23
c + (11) = 23
c = 12
Now we have c and p.
There are 12 chickens and 11 pigs on the farm.
overspending
individualism
conformity
A. 0.55
B. 0.30
C. 0.49
D. 0.70