The length of the yard is 25ft.
In order to find this we first need to set up variables for the length and the width. Since we don't know anything about the width, we'll set it as x. Then, we know the length is equal to ten more than three times the width. Since the width is x, we can write the length as 3x + 10. Now we can use the formula for the perimeter of a rectangle to solve for x.
2l + 2w = P
2(3x + 10) + 2(x) = 60
6x + 20 + 2x = 60
8x + 20 = 60
8x = 40
x = 5
Now that we have a value for x, we can plug into the length equation and find the length.
3x + 10
3(5) + 10
15 + 10
25
0.75 or 3/4 that’s your answer as a decimal and fraction :)
Answer:
The vehicle can travel 12 miles per gallon of gas.
Step-by-step explanation:
- The number of gallons used by a vehicle = 1 1/8 gallons
i.e.
gallons
- The number of miles traveled by a vehicle = 13 1/2 miles
i.e.
miles
Thus,
Total Gallons =9/8 gallons
Total Distance in miles = 27/2 miles
Hence:
Unit Rate = [27/2 miles] / [9/8 gallons]
= 12 miles per gallons ∵ 
Therefore, the vehicle can travel 12 miles per gallon of gas.
Answer:
Yes, they will be.
Step-by-step explanation:
Congruent means when they are the same shape and same size.
If triangle ABC is dilated to <u><em>form</em></u> triangle DEF, that means that they will have the same shape and the same size.
So yes Triangles ABC and DEF will be congruent to one another because they will be the same shape, and they will have the same size as well.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Answer:
F
Step-by-step explanation:
There are 6 digits in the repeating pattern.
279 / 6 = 46.5 remainder 3.
we care about the remainder as this is how many digits in. it is the 3rd digit in so is 3.