Answer:
372 miles
Step-by-step explanation:
The appropriate relation is ...
miles = (miles/gallon) × gallons
distance = (31 mi/gal)×(24 gal) = 744 mi
Brittany drove 744 miles to see the ocean. Since this was her round trip distance, the one-way distance is ...
744 mi/2 = 372 miles
Answer:
![Highway = 155\ miles](https://tex.z-dn.net/?f=Highway%20%3D%20155%5C%20miles)
![City = 130\ miles](https://tex.z-dn.net/?f=City%20%3D%20130%5C%20miles)
Step-by-step explanation:
Given
![Highway = 31mi/gallon](https://tex.z-dn.net/?f=Highway%20%3D%2031mi%2Fgallon)
![City = 26mi/gallon](https://tex.z-dn.net/?f=City%20%3D%2026mi%2Fgallon)
![Total\ Miles = 285](https://tex.z-dn.net/?f=Total%5C%20Miles%20%3D%20285)
![Total\ Gallons = 10](https://tex.z-dn.net/?f=Total%5C%20Gallons%20%3D%2010)
Required
Determine the number of miles driven on the highway and on the city
Represent the gallons used on highway with h and on city with c.
So, we have:
---- gallons used
and
--- distance travelled
In the first equation, make c the subject
![c = 10 - h](https://tex.z-dn.net/?f=c%20%3D%2010%20-%20h)
Substitute 10 - h for c in the second equation
![31h + 26c = 285](https://tex.z-dn.net/?f=31h%20%2B%2026c%20%3D%20285)
![31h + 26(10 - h) = 285](https://tex.z-dn.net/?f=31h%20%2B%2026%2810%20-%20h%29%20%3D%20285)
Open bracket
![31h + 260 - 26h = 285](https://tex.z-dn.net/?f=31h%20%2B%20260%20-%2026h%20%3D%20285)
Collect like terms
![31h - 26h = 285 - 260](https://tex.z-dn.net/?f=31h%20-%2026h%20%3D%20285%20-%20260)
![5h = 25](https://tex.z-dn.net/?f=5h%20%3D%2025)
Make h the subject
![h = \frac{25}{5}](https://tex.z-dn.net/?f=h%20%3D%20%5Cfrac%7B25%7D%7B5%7D)
![h = 5](https://tex.z-dn.net/?f=h%20%3D%205)
Substitute 5 for h in ![c = 10 - h](https://tex.z-dn.net/?f=c%20%3D%2010%20-%20h)
![c = 10 - 5](https://tex.z-dn.net/?f=c%20%3D%2010%20-%205)
![c = 5](https://tex.z-dn.net/?f=c%20%3D%205)
If on the highway, he travels 31 miles per gallon, then his distance on the highway is:
![Highway = 31 * 5](https://tex.z-dn.net/?f=Highway%20%3D%2031%20%2A%205)
![Highway = 155\ miles](https://tex.z-dn.net/?f=Highway%20%3D%20155%5C%20miles)
If in the highway, he travels 26 miles per gallon, then his distance on the highway is:
![City = 26 * 5](https://tex.z-dn.net/?f=City%20%3D%2026%20%2A%205)
![City = 130\ miles](https://tex.z-dn.net/?f=City%20%3D%20130%5C%20miles)
Answer:
37.5
Step-by-step explanation:
First you have to realize that these are similar triangles.
You can do a easy cross multiplication with these types of questions by forming an equation with the similar angles.
put the smaller above the decimal and the bigger one below like this.
=![\frac{12}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7Bx%7D)
Now cross multiply
8x=300
x=37.5
Answer:
13
Step-by-step explanation:
the difference is -5
- nth=a+(n-1)d
- a=253,n=49,d=5
- 253+(49-1)×-5
- 253+48×-5
- 253+(-240)
- 253-240=13
the 49th term is 13