Answer:
Total surface area of cube = 294 cm²
Step-by-step explanation:
Given:
Perimeter of cube = 84 cm
Find:
Total surface area of cube
Computation:
Perimeter of cube = 12 x side
84 = 12 x side
Side = 7 cm
Total surface area of cube = 6(a)²
Total surface area of cube = 6(7)²
Total surface area of cube = 294 cm²
Answer:
1. 7/10, 2. 25, 3. 1/4 4. 4. 3/5, 5. A
Step-by-step explanation:
1. Make a fraction with the total number of cards at the bottom (60) and all the cards that are not green (aka yellow and blue) on top (42). Then simplify the fraction 42/60 by dividing both terms by 6 to get 7/10
2. For this one, first find how many students out of the first 80 liked basketball by subtracting the 60 students who liked other sports from 80. This gives you 20. Now you know that 20/80 students like basketball. Now simplify the fraction to get 1/4. Then find 1/4 of 100, because we know that 1/4 of students like basketball. 1/4 of 100 is 25.
3. This problem is exactly the same as number 1, except instead of adding all the other colors and putting them as a fraction over the total, just put the number of pink shirts over the total number of shirts to get 3/12. Then simplify it to 1/4, and that's your answer.
4. This is also similar to problems 1 and 3. Just put the number of heads coin tosses over the total and simplify it.
5. This one is very similar to all the problems so far. I will let you do this one on your own. Remember: The number of cases (rolls or colors or sports or cards etc.) that you want to find the probability for goes on top, and the total number of those things goes on the bottom. The bigger the fraction, the greater probability there is.
Note: Please only ask one question at a time on here instead of 5 at once. Since these problems are so similar, chances are, you could have figured them out on your own with a little help on one of them. You are more likely to get a quick answer if the answerer doesn't have to do as much work.
Answer:
Step-by-step explanation:
n is a variable and multiplied by 6, so it is attached to 6. (6 is known as the coefficient.) Then it is divided by 4. (4 is known as the constant because there is no variable attached to it.)
9x - 4(x - 2) =x + 20
We move all terms to the left:
- 9x -4(x - 2) - (x + 20) = 0
Multiply
- 9x - 4x -(x + 20) + 8 = 0
We get rid of the parentheses.
We add all the numbers and all the variables.
We move all terms containing x to the left hand side, all other terms to the right hand side
