Answer:
<em>Equation: 10t=400</em>
<em>It will take them 40 hours to be 400 miles apart.</em>
Step-by-step explanation:
<u>Constant Speed Motion</u>
If the speed of an object is v, the distance traveled in a time t is:
![x=v\cdot t](https://tex.z-dn.net/?f=x%3Dv%5Ccdot%20t)
Ms. Ironperson travels at 50t (not speed, but a distance), and Mr. Thoro travels at 60t. Since the latter travels faster, the distance between them at time t is given by:
![D=60t-50t=10t](https://tex.z-dn.net/?f=D%3D60t-50t%3D10t)
To be 400 miles apart, we set the equation:
10t=400
Solving:
t=400/10=40
It will take them 40 hours to be 400 miles apart.
Note: Some assumptions were made in this question:
- The rates are not speeds but distances
- The distances are in miles
Answer:
60 miles.
Step-by-step explanation:
Given:
We rent a car for the day and are offered two payment options.
With option A we pay $25 flat rate plus $0.15 per mile.
With option B we pay a $10 flat rate plus $0.40 per mile.
Question asked:
For what amount of miles would the cost of option A be equal to option B ?
Solution:
<u>Let amount of miles for which the cost of option A be equal to option B = </u>
<u />
For option A, we pay = ![25+0.15\times x](https://tex.z-dn.net/?f=25%2B0.15%5Ctimes%20x)
For option B, we pay = ![10+0.40\times x](https://tex.z-dn.net/?f=10%2B0.40%5Ctimes%20x)
Now, to find amount of miles for which the cost of option A be equal to option B, we will equalize the equation to find the value of
![25+0.15x=10+0.40x\\](https://tex.z-dn.net/?f=25%2B0.15x%3D10%2B0.40x%5C%5C)
By subtracting both sides by 10
![25-10+0.15x=10-10+0.40x\\15+0.15x=0.40x](https://tex.z-dn.net/?f=25-10%2B0.15x%3D10-10%2B0.40x%5C%5C15%2B0.15x%3D0.40x)
By subtracting both sides by ![0.15x](https://tex.z-dn.net/?f=0.15x)
![15+0.15x-0.15x=0.40x-0.15x\\15=0.25x](https://tex.z-dn.net/?f=15%2B0.15x-0.15x%3D0.40x-0.15x%5C%5C15%3D0.25x)
By dividing both sides by ![0.25](https://tex.z-dn.net/?f=0.25)
![x=60\ miles](https://tex.z-dn.net/?f=x%3D60%5C%20miles)
Therefore, for 60 miles, the cost of option A will be equal to option B.
Your answer should be x = 2, -2
I ran it through a very reliable program.
Answer:
1/2 the jellybeans are yellow... or 25 jellybeans
Step-by-step explanation:
1/5 is the same thing as 2/10.
2/10 + 3/10 = 5/10
5/10 are blue and green and the other 5/10 is yellow.
5/10 can be simplified to 1/2
1/2 of 50 is 25
I hope this helps you!! :)
These (1,4,5) all give the right solution that the total number of students in Spanish club is 50.
1.)
(3/5)x = 30
4.)
(3/5)(5/3)x = 30(5/3)
5.)
x = 50
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