We know that Bob and Caitlyn are playing a trading-card game. Between them, they have 81 cards. <span>Bob has 7 fewer cards than Caitlyn. Since Bob has 7 cards fewer them Caitlyn we have to divide by 2 and subtract 7.
81 / 2 = 40 [rounded]
40 - 7 = cards Bob has
= 33 cards bob has
</span>
Step-by-step explanation:
Step 1. Multiply the bottom number of the fraction by the whole number
Step 2. Simplify the fraction (if needed)
Example:
1 ÷ 3
-
2
Step 1. Multiply the bottom number of the fraction by the whole number:
1
--------
2 x 3
Which equals:
1
--
16
Step 2. Fraction is already as simple as possible, so no need for step 2.
Answer:
1
- ÷ 3 = 1
2 --
6
1) What is the mean of the data set:
The best plot is the dot plot. Sum the values of each dot and divide by the number of dots.
2) What is the median of the data set:
Use the box plot. The median is the value in the middle of the rectangle. That is 8.
3) What is the interquartile range:
Use the box plot. The interquartile range is the length of the rectangle. That is 10 - 6 = 4
4) How many members use the facility 10 days a month:
Use the box plot. The answer count how many dots are over the number 10. That is 2.
Answer:
These have no solution:
- 2x < x+1 and x+1 > 3
- 3x -5 > 1 and x < 2
Step-by-step explanation:
1. 2x < x+1
x < 1 . . . . . subtract x
__
x + 1 > 3
x > 2 . . . . subtract x
No solution: x cannot be both > 2 and < 1.
_____
2. 3(x +2) > x
3x + 6 > x . . . . eliminate parentheses
2x + 6 > 0 . . . subtract x
x + 3 > 0 . . . . . divide by 2
x > 0
Solution: 0 < x < 2
_____
3. 5x ≥ 10
x ≥ 2 . . . . . divide by 5
__
2x ≤ 4
x ≤ 2 . . . . . divide by 2
Solution: 2 ≤ x ≤ 2 . . . . x = 2
_____
4. 3x -5 > 1
3x > 6 . . . . . . . add 5
x > 2 . . . . . . . . divide by 3
No solution: x cannot be both < 2 and > 2.