Answer:
20
Step-by-step explanation:
3x + x + 100 = 180 (sum of angles on a straight line)
4x = 180-100
4x=80
divide both sides by 4
x=20
Answer:
58 miles/hour
Step-by-step explanation:
Given that the family Christmas gathering has been scheduled at 2:00 p.m.,
and Joshua left the house at 8:00 a.m.
So, the total time available in order to arrive on time to attend the Christmas gathering, t=6 hours
The total distance, Joshua has to travel, d= 348 miles.
As average speed= (total distance)/(total time)
So, the average speed of driving = 348/6=58 miles/hour
Hence, Joshua must drive at an average speed of 58 miles/hour in order to arrive on time.
Answer:
4 5/12
Step-by-step explanation:
Rewriting our equation with parts separated
Solving the whole number parts
Solving the fraction parts
Find the LCD of 1/4 and 5/6 and rewrite to solve with the equivalent fractions.
LCD = 12
Combining the whole and fraction parts
Answer:
Step-by-step explanation:
![\sf 3(t+3)+5(3+2t)-76 = 0\\\\Expanding \ Parenthesis\\\\3t + 9 + 15 + 10t -76 = 0\\\\13t + 24 -76 = 0\\\\13t - 52 = 0\\\\Add \ 52 \ to \ both \ sides\\\\13t = 52\\\\Dividing\ both\ sides\ by\ 13\\\\t = 52/13\\\\t = 4\\\\\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Csf%203%28t%2B3%29%2B5%283%2B2t%29-76%20%3D%200%5C%5C%5C%5CExpanding%20%5C%20Parenthesis%5C%5C%5C%5C3t%20%2B%209%20%2B%2015%20%2B%2010t%20-76%20%3D%200%5C%5C%5C%5C13t%20%2B%2024%20-76%20%3D%200%5C%5C%5C%5C13t%20-%2052%20%3D%200%5C%5C%5C%5CAdd%20%5C%2052%20%5C%20to%20%5C%20both%20%5C%20sides%5C%5C%5C%5C13t%20%3D%2052%5C%5C%5C%5CDividing%5C%20both%5C%20sides%5C%20by%5C%2013%5C%5C%5C%5Ct%20%3D%2052%2F13%5C%5C%5C%5Ct%20%3D%204%5C%5C%5C%5C%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
3.75 as a decimal, 3 &3/4 as a fraction
