Miles per hour
(15 and 3/4) miles per 3 hours
remember that
(a+b)/c=(a/c)+(b/c)
and
a and c/d=a+c/d
so
(15 and 3/4)/3=(15/3)+(3/4)/3
remember that dividing by a number is like multiplying by a fraction
15/3=5
(3/4)/3=(3/4) times (1/3)=3/12=1/4
(15/3)+(3/4)/3=5+1/4=5 and 1/4
answer is 5 and 1/4 miles per hour
Answer:

Step-by-step explanation:
<u><em>The complete question is</em></u>
Jessica has 84.5 yards of fabric to make curtains. She makes 6 identical curtains and has 19.7 of fabric remaining. How many yards of fabric does Jessica use per curtain?
Let
x-------> amount of yards of fabric that Jessica used per curtain
we know that
The length of 6 identical curtains plus the length of the fabric remaining, must be equal to the total yards of fabric'
so
The linear equation that represent this situation is
Solve for x

Answer:

Step-by-step explanation:
This problem can be modeled by a linear function, where we have two points (37°C, 200) and (32°C, 150).
Notice that the temperature is the independent variable, because the heartbeat of the cat won't change the temperature, it works in the opposite way.
First, let's find the constant ratio of change.

This means the hearbeat of the car changes 10 pulses per minute each 1 celsius degree.
Now, we use the point slope formula to find the equation

Theerefore, the function that represents this situation is

Where
represents temperature and
represents hearbeats.
Answer:
45158
Step-by-step explanation:
Since the colony grows at a rate of 12%, after 2 years there will be
bacteria. Since you probably can't have part of a bacteria, you round to 45158.
Answer:
And if we solve for a we got
The 95th percentile of the hip breadth of adult men is 16.2 inches.
Step-by-step explanation:
Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:
Where
and
For this part we want to find a value a, such that we satisfy this condition:
(a)
(b)
We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64
Using this value we can set up the following equation:
And we have:
And if we solve for a we got
The 95th percentile of the hip breadth of adult men is 16.2 inches.