<span>4 hours after they leave Houston.
Easiest way to solve this problem is to first calculate the relative velocities of the two buses. Since they're traveling in opposite directions, you simply need to add their respective velocities to see what the relative velocity is between them.
55 mi/h + 45 mi/h = 100 mi/h
That means that the buses will increase their distance apart from each other by 100 miles for every hour that they travel. So divide 400 miles by 100 miles/hour
400 miles / 100 miles/hour = 4 hours.
So 4 hours after the buses start moving, they will be 400 miles apart from each other.</span>
Answer:the unknown leg is 7.5
Step-by-step explanation:
The given right angle triangle has a hypotenuse, a known leg and an unknown leg.
From the triangle,
The hypotenuse is 9
The known leg is 5
The unknown leg is x
The formula for Pythagoras theorem is expressed as
Hypotenuse^2 = opposite side^2 + adjacent side^2
Hypotenuse^2 = known leg^2 + unknown leg^2
Therefore
9^2 = 5^2 + x^2
81 = 25 + x^2
x^2 = 81 - 25 = 56
x = √56 = 7.5
Answer: The slope is the cost per muffin and the intercept of 3 is the delivery charge.
Step-by-step explanation:
I will assume that the graph has total cost in dollars for the y axis and number of muffins on the x axis. A slope of 2 means that y will increase by 2 for every 1 increase in x. That means that the price of a single muffin is $2.
The intercept of 3 at x = 0, means that there is an upfront (delivery) charge of $3. One muffin would cost $2 for the muffin plus $3 for the delivery, for a total of $5.
10 muffins would cost $20 for the muffins plus $3 for the delivery, for a total of $23.
Answer:
The GCF of 175 and 280 is 35.
