15(j - 3) + 3j < 45
15j - 45 + 3j < 45
18j < 45 + 45
18j < 90
j < 90/18
j < 5
Answer:
8.0
Step-by-step explanation:
Sin theta = opposite /hypotenuse
sin 53 = x/10
Multiply each side by 10
10 sin 53 = x
7.9863551
To the nearest tenth
x = 8.0
Answer:
*I just learned that in probability if a question has 'and' it means you multiply and if it has 'or' it means you add*
1a) 1/6
There are two numbers greater than four (5 and 6). There are 6 possible numbers you can get, so the fraction would be 2/6, or simplified would be <u>1/3</u>. There are two options you can get when flipping a coin, so the chance of getting a head is <u>1/2</u>. This is an 'and' problem so multiply 1/3•1/2 and you get 1/6.
1b) 1/4
There are 3 even numbers (2, 4, and 6), so the probability would be 3/6 or simplified to <u>1/2</u>. The chance of landing on a tail is also <u>1/2</u>, as there are two possible options. This is an 'and' problem so multiply 1/2•1/2 and you get 1/4.
2) 1/8
Write out your possible results: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.
3a) 1/8
There are 4 shirt options to choose from. The chance of picking blue is <u>1/4</u>. There are 2 pant options. The chance of picking black is <u>1/2</u>. This is an 'and' problem, so multiply 1/4•1/2 and you get 1/8.
3b) 1/4
There are 4 shirt options to choose from. This is an 'or' problem because he can choose an orange shirt OR a red shirt. The probability of picking an orange shirt is 1/4 and the probability of picking a red shirt is 1/4. 'Or' means you use addition so add 1/4+1/4 and you get 2/4 or simplified is <u>1/2</u>. There are 2 pant options to choose from, so the probability of choosing brown pants is 1/2. Now, this is an 'and' problem, so multiply 1/2•1/2 and you get 1/4.
Answer:
42x-24y-5
Step-by-step explanation:
We can start by using the distributive property.
This will help us rewrite the expression, since the terms in the parentheses can't be combined.
I'll attach an image to better explain this.
When using it, we'll get:
6*7x+6*-4y-5
Simplify.
42x-24y-5
This is our final answer since there are no like terms that can be combined.
