Answer:
x = 2
Step-by-step explanation:
1 - Rewrite
6 - 2/3 (x+5) = 4x
2 - Distribute
6 - 2/3x + 10/3 = 4x
3 - Combine like terms and get x alone
6 10/3 - 2/3x = 4x
+2/3x +2/3x
6 10/3 = 4 2/3x
------------------------------- Convert to decimals
6.3333333333.... = 4.333...x
-------------------------------- Divide both sides by 4.33...x
2 = x
Hope this helps :)
28 .to explain they want to know the missing side and the triangles are equal to each-other just one is projected smaller than the other . So the one with 16 16 and 24 is the smaller one . The difference between 24-16 is 8 . And In the bigger one the sides 20 and 20 where given so since the smaller one is equal to the bigger one you just do 20+8=28
Answer:
377 meals
Step-by-step explanation:
If you choose to have all three courses, then there are 6 choices for the first course, 8 for the second, and 5 for the last, making a total of 6*8*5=240 different possible meals.
If you choose two courses, then there are 3 options. You can pick appetizer and main meal, which would give you 6*8=48 possibilities. You can pick main meal and dessert, which would give you 8*5=40 possibilities. Finally you can pick appetizer and desert, which would give you 6*5=30 possibilities. In total these are 118 different possible meals with two courses.
Finally, you could choose 1 course, which would give you 6+8+5=19 different meals.
In total, this is 240+118+19=377 meals
1/6 because 3 goes into 3 once, and 3 goes into 18 6 times. So the fraction is 1/6
