Hi there! I can help you with this! First, let's combine like terms and do everything for the right side of the problem. When you do the distributive property, you get 32x - 40. Combine like terms and you'll get 32x - 60. Now, the inequality is 20x = 32x - 60. First, let's subtract 32x from both sides to get the integer by itself. When you do that, you get -12x = -60. Now, divide each side by -12 to isolate the "x". -60/-12 is 5. Let's plug it in. 20 * 5 is 100. 32 * 5 is 160. 160 - 60 is 100. 100 = 100. There. x = 5.
Answer:
27
Step-by-step explanation:
Let the 5 digit palindrome formed from 1,2,3,4,5 be represented as XYZXY
Possible outcomes of X are 1,2,3 which give 3 possible outcomes
Possible outcomes of Y are 1,2,3 which also gives 3 possible outcomes
Possible outcomes of Z are 1,2,3 which will give 3 possible outcomes.
The total possible outcome = 3*3*3
= 27
24 = x% * 32
24= x/100 * 32
Multiply 100 on both sides.
2400 = x * 32
32x = 2400
Divide 32 on both sides.
x = 2400/32
x = 75
75 percent<span> of 32 is 24</span>
Alright, so we'd use the combinations with repetition formula, so we choose from 4 schools to distribute to and distribute 8 blackboards. It's then
( 8+4-1)!/8!(4-1)!=11!/(3!*8!)=165
For at least one blackboard, we first distribute 1 to each school and then have 4 blackboards left, getting (4+4-1)!/4!(4-1)!=7!/(4!*3!)=35
If there are 50 teens in the program and 34% of them have two siblings, then we need to multiply 50 by 0.34 to find 34 percent of 50. 50*0.34 = 17. Therefore, there are 17 teens who have two siblings.
