Answer:
Step-by-step explanation:
<u>Solve each inequality and find the common set:</u>
- 2x - 5 > - 11 ⇒ 2x > 5 - 11 ⇒ 2x > - 6 ⇒ x > - 3
- -10x - 6 ≥ 44 ⇒ - 10x ≥ 6 + 44 ⇒ - 10x ≥ 50 ⇒ x ≤ - 5
<u>Solution interval:</u>
There is no solution to system to show on the number line
By row, we have the number of students who like Ping Pong is 44 students and those who don't like Ping Pong is 56 students.
The number of students who like both Ping Pong and Dodgeball is 26 out of 44 students who like Ping Pong
Answer: 26/44 = 13/22
Step-by-step explanation:
The smaller number is 18.
Step-by-step explanation:
Let larger number = x and smaller number = \dfrac{2}{3} x32x
To find, the smaller number = ?
According to question,
x+\dfrac{2}{3} x=45x+32x=45
⇒ \dfrac{3x+2x}{3} =4533x+2x=45
⇒ 5x=45\times 35x=45×3
⇒ 5x=1355x=135
⇒ x =\dfrac{135}{5} =27x=5135=27
∴ Smaller number =\dfrac{2}{3} \times 27=2\times 9 =18=32×27=2×9=18
Hence, the smaller number is 18.
419.10>419.099 419.10 is greater than 419.009