Answer:
16 minutes
Step-by-step explanation:
Tom walks for 5 minutes longer than he rides. To figure out the answer, start by subtracting 5:
27 - 5 = 22
Now that you have done this, divide 22 by 2:
22/2 = 11
Now you know that he rode the bus for 11 minutes, and you can add five to the other 11 minutes to know how long he walked:
11 + 5 = 16.
To solve this, all you have to do is add 1/5 and 1/3.
Well, you might be thinking, "But the denominators are not the same! Fractions have to have like denominators in order to be added together!" And you are right. So, all we have to do, is make them both have the same denominator. To do this, we have to multiply both the numerator and denominator by the same number to find an equivalent fraction.
For 1/5, we can multiply both the numerator and denominator by 3, to get 3/15.
Likewise, we can multiply both the numerator and denominator of 1/3 by 5, to get 5/15.
Now, you can easily add 3/15 and 5/15 because all you have to do is add the numerators, because the denominators are the same!
3/15+5/15=8/15, so she spends 8/15 hour on her math and social studies homework.
Hope I helped!
Answer:
86
Step-by-step explanation:
![48÷6 [-52 ÷2 {4 - 3 (2 - 15÷3)}] \\ 8[-52 ÷2 {4 - 3 (2 - 15÷3)}] \\ 8[-52 ÷2{1 (2 - 15÷3)}] \\ 8[ - 2.5{ (2 - 15÷3)}] \\ 8[ - 2.5{ ( - 13÷3)}] \\ 8[ - 2.5{ ( - 4.3)}] \\ 8[10.75 { }] \\ = 86](https://tex.z-dn.net/?f=48%C3%B76%20%5B-52%20%C3%B72%20%7B4%20-%203%20%282%20-%2015%C3%B73%29%7D%5D%20%5C%5C%208%5B-52%20%C3%B72%20%7B4%20-%203%20%282%20-%2015%C3%B73%29%7D%5D%20%5C%5C%208%5B-52%20%C3%B72%7B1%20%282%20-%2015%C3%B73%29%7D%5D%20%5C%5C%208%5B%20-%202.5%7B%20%282%20-%2015%C3%B73%29%7D%5D%20%5C%5C%208%5B%20-%202.5%7B%20%28%20-%2013%C3%B73%29%7D%5D%20%5C%5C%208%5B%20-%202.5%7B%20%28%20%20-%204.3%29%7D%5D%20%5C%5C%208%5B10.75%20%7B%20%7D%5D%20%5C%5C%20%20%3D%2086)
F = 18 ft.
The law of cosines states
c² = a² + b² - 2ab cos C
Using our information, we have
c² = 23² + 16² - 2(23)(16)cos 52
c² = 529 + 256 - 736cos 52
c² = 785 - 736cos 52
c² = 331.8732
Taking the square root of both sides, we have
c = √331.8732 = 18.22 ≈ 18
I’m pretty positive it is just 5.70 you just take out the 4.
