<u>Answer:
</u>
The relationship between the two sets A and B if A ⊆ B is A is subset of B
<u>Solution:
</u>
A is subset of B means,” all elements of set A are present in set B”
Consider two sets A and B where
,
A = {1,2,3,4,5}
B = {1,2,3,4,5,6,7,8}
All Elements of set A {1,2,3,4,5} are present in set B
hence we relate set A and set B as A ⊆ B,which means set A is subset of set B. Symbol “⊆” is used to denote subset
So set A is subset of set B (A ⊆ B)
To determine the number of days, we need to set up equations relating the given values above. The total distance that Kayla would want to travel is a sum of the total distance she traveled from running and the total distance she traveled from biking. So,
200 miles = (6 miles/day) x + (10 miles/day) y
where x is the number of days she spent running and y is the number of days she spent biking.
If the minimum days she used for biking would be 15 days or y = 15, then
200 miles = (6 miles/day) x + (10 miles/day) (15 days)
Solving for x,
200 = 6x + 150
50 = 6x
x = 8.3333 days
Total number of days = 15 days for biking + 8.3333 days for running = 23.3333 days or about 24 days.
Answer:
40000
Step-by-step explanation:
1) x+y=302x+9y=172x=-y+30-2y+60+9y=1727y=112y=16x=14
14 2-point questions and 16 9-point questions
2) c+a=163
6c+13a=1566
c=-a+163
-6a+976+13a=1566
7a=588
a=84
c=79
84 adult tickets and 79 children tickets
3) a+c=15; ax+cy=132
8+7=15; 8x+7y=132
a+c=9; ax+cy=72
4+5=9; 4x+5y=72
8x+7y=132
4x+5y=72
(8x+10y)=(144)
8x=-7y+132
8x=-10y+144
-7y+132=-10y+144
3y=12
y=4
4x+20=72
4x=52
x=13
The price for an adult ticket is $13 and the price for a child ticket is $4
Answer:
Step-by-step explanation:
x - 5 = 0.1(x +5)
x - 5 = 0.1x + 5*0.1
x -5 = 0.1x + 0.5 {Add 5 to both sides}
x = 0.1x + 0.5 + 5
x = 0.1x + 5.5
x -0.1x = 5.5 {subtract 0.1x from both sides}
0.9x =5.5 {Divide both sides by 0.9}
x = 5.5/0.9
x = 55/9
x = 6 1/9
