A human has 1 head and 2 legs.
A horse has 1 head and 4 legs.
Let's make two equations from what we know.
There were a total of 74 heads.
There were a total of 196 legs.
Let's call humans 'x' and horses 'y'
The total number of heads were 74.
Humans have 1 head, and so do horses.
Our first equation is:
x + y = 74
There were a total of 196 legs.
Humans have 2 legs, and horses have 4 legs.
Our second equation is:
2x + 4y = 196
Our two equations are:
x + y = 74
2x + 4y = 196
We need to solve this system of equations to find out how many humans and horses were at this racing event.
Multiply the first equation by 2.
2(x + y) = 2(74)
2x + 2y = 148
Our two equations are:
2x + 2y = 148
2x + 4y = 196
Subtract the first equation from the second equation.
2x - 2x + 2y - 4y = 148 - 196
2y - 4y = 148 - 196
-2y = - 48
Divide both sides by -2
y = 24
That means that there were 24 horses.
We can plug back in y = 24 into our first equation to find out how many humans there were.
x + y = 74
x + 24 = 74
x + 24 - 24 = 74 - 24
x = 50
There were 50 humans.
At the horse racing event, there were 24 horses and 50 humans.
Your final answer is B. 24 horses and 50 humans.
Answer:
No
Step-by-step explanation:
No, because there is no mutiplication sign, and it suppose to be 6x times 5.
Answer:
Option B is correct
Function 1, because the slope is 4 and the slope of function 2 is 2.
Step-by-step explanation:
Slope-intercept form:
The equation of line is given by:
where, m is the slope and b is the y-intercept
As per the statement:
Function 1: y = 4x + 5
On comparing with [1] we have;
Slope of function 1 = 4
Function 2: The line passing through the points (1, 6) and (3, 10).
Using slope formula:
Substitute the given points we have;
⇒
Simplify:
⇒
⇒
⇒ Slope of the function 2 is, 2
Since, function 1 is greater rate of change.( i.e 4 > 2)
Therefore,
Function 1 has the greater rate of change, because the slope is 4 and the slope of function 2 is 2.
Answer:
Yes.
Step-by-step explanation:
4.7 is able to be written as a fraction, being a rational number.
Hope it helps!!
Let me know if I'm wrong...
