Answer:
Step-by-step explanation:
Let f represent the number of first-class tickets that Sarah bought. Then she bought (16-f) coach tickets. Her total spending for airfare was ...
1140f +160(16-f) = 9420
980f +2560 = 9420 . . . . simplify
980f = 6860 . . . . . . . . subtract 2560
f = 7 . . . . . . . . . . . . . divide by 980; number of first-class tickets
(16-f) = 9 . . . . . coach tickets
Sarah bought 7 first-class tickets and 9 coach tickets.
Answer:
x = 0
Step-by-step explanation:
Solve for x:
x/5 + 5 = 5
Put each term in x/5 + 5 over the common denominator 5: x/5 + 5 = x/5 + 25/5:
x/5 + 25/5 = 5
x/5 + 25/5 = (x + 25)/5:
(x + 25)/5 = 5
Multiply both sides of (x + 25)/5 = 5 by 5:
(5 (x + 25))/5 = 5×5
(5 (x + 25))/5 = 5/5×(x + 25) = x + 25:
x + 25 = 5×5
5×5 = 25:
x + 25 = 25
Subtract 25 from both sides:
x + (25 - 25) = 25 - 25
25 - 25 = 0:
x = 25 - 25
25 - 25 = 0:
Answer: x = 0
42|2
21|3
7|7
1
The combination is <span>237.</span>
In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.
The least common denominator of 3 and 4 is 12. This means that we have to change both fractions into equal fractions with denominators of 12.
To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions. We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8
Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.
If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.
Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school. Because they have the same denominator, we can just compare the numerators. We know that 8 is greater than 6, thus Luis skates farther to get to school.
20mps. Because velocity is the speed per unit. In this case it is going 20 m per second
