Answer:
45 miles
Step-by-step explanation:
Use the Pythagorean Theorem. Imagine a line connecting the ends of the right angle you made by driving. It would make a right triangle. You are trying to find the hypotenuse. Use the formula
. Square 27, or multiply 27 by 27, to get 729. Add this to the square of 36, 1296. So
= 2025. Find the square root of 2025.
= 45. Hope this helped ^^
Answer:
The number is 12
Step-by-step explanation:
[] First, let's turn all these words into something mathematical. N will equal "my number"
-><u> If you add 12 to my number</u> and then multiply the result by 3, you will get 64 more than two-thirds of my number.
-> n + 12 <u>and then multiply the result by 3</u>, you will get 64 more than two-thirds of my number.
-> 3(n + 12), you will get 64 more than <u>two-thirds of my number</u>.
-> 3(n + 12) = <u>64 more than</u> 
-> 3(n + 12) = 64 + 
[] Phew, okay. Now it is something we can solve and less scary;
[Given]
3(n + 12) = 64 + 
[Distribute]
3n + 36 = 64 + 
[Multiply both sides by 3]
9n + 108 = 192 + 2n
[Subtract 108 and 2n from both sides]
7n = 84
[Divide both sides by 4]
n = 12
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Let x = the other rational number.
x(66/7) = (48/5)
Solve for x to find your answer.
Answer:
4/5
Step-by-step explanation:
8/15 = 8/15
3/5 = 9/15
2/3 = 10/15
11/15 = 11/15
We see that the pattern is that the terms increase by 1/15 as they move up.
Thus, the next term in the sequence is 12/15, which can be simplified to 4/5.
Let me know if this helps!
The given equality hold true when x = 2.
Put x = 2 in inequality.
2(2) + 3 = 4+3 = 7 = R.H.S.
For x = 4 and 6, L.H.S(2x+3) is greater than 7.
Hence for x = 2, 4 and 6, the above inequality holds true.
Hope this helps!