Answer: THIRD OPTION.
Step-by-step explanation:
Given the following inequality:
![3(x-5)\geq 6](https://tex.z-dn.net/?f=3%28x-5%29%5Cgeq%206)
You can follow these steps in order to solve it:
1. Apply Distributive property on the left side:
![3(x-5)\geq 6\\\\(3)(x)+(3)(-5)\geq 6\\\\3x-15\geq 6](https://tex.z-dn.net/?f=3%28x-5%29%5Cgeq%206%5C%5C%5C%5C%283%29%28x%29%2B%283%29%28-5%29%5Cgeq%206%5C%5C%5C%5C3x-15%5Cgeq%206)
2. Add 15 to both sides of the inequality:
![3x-15+(15)\geq 6+(15)\\\\3x\geq 21](https://tex.z-dn.net/?f=3x-15%2B%2815%29%5Cgeq%206%2B%2815%29%5C%5C%5C%5C3x%5Cgeq%2021)
3. Finally, divide both sides of the inequality by 3:
![\frac{3x}{3}\geq \frac{21}{3}\\\\x\geq 7](https://tex.z-dn.net/?f=%5Cfrac%7B3x%7D%7B3%7D%5Cgeq%20%5Cfrac%7B21%7D%7B3%7D%5C%5C%5C%5Cx%5Cgeq%207)
The symbol is
means "Greater than or equal to", and indicates that 7 is include in the solution.
Therefore, the solution can be expressed as:
Now you must mark this point with a closed dot on the number line and shade everything to the right.
Answer:
A, D, and E
Step-by-step explanation:
because they are negative
Answer:
10.55% probability
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
The order in which the CDs are chosen is not important. So we use the combinations formula to solve this question.
1 Bach CD, from a set of 4.
1 Beethoven CD, from a set of 6.
1 Brahms CD, from a set of 3.
1 Handel CD, from a set of 2.
So, D=144
4 CDs from a set of 4+6+3+2 = 15.
So, T= 1365
p= D/T= 144/1365 = 0.1055
10.55% probability that she will choose one by each composer
Answer:
70 degrees
Step-by-step explanation: