Answer:
- 10) 57.6
- 11) 27.3
- 12) 12.75
- 13) 10
- 14) 14
- 15) 5
Step-by-step explanation:
- <em>If three or more parallel lines are cut by two transversals, then they divide the transversals proportionally.</em>
<u>Using the above we find the value of x</u>
10.
- x/48 = 30/25
- x/48 = 6/5
- x = 48*1.2
- x = 57.6
11.
- x/ (49 - 28) = 36.4/28
- x/21 = 9.1/7
- x = 21*9.1/7
- x = 27.3
12.
- (2x + 6)/36 = 52.5/60
- (x + 3)/18 = 7/8
- x + 3 = 18*7/8
- x + 3 = 15.75
- x = 12.75
13.
- (x - 3)/21 = (x - 1)/27
- 9(x - 3) = 7(x - 1)
- 9x - 27 = 7x - 7
- 9x - 7x = 27 - 7
- 2x = 20
- x = 10
14.
- (2x + 5)/22 = (x + 10)/16
- 8(2x + 5) = 11(x + 10)
- 16x + 40 = 11x + 110
- 16x - 11x = 110 - 40
- 5x = 70
- x = 14
15.
- (7x - 11)/(4x - 2) = 20/(35 - 20)
- (7x - 11)/(4x - 2) = 4/3
- 3(7x - 11) = 4(4x - 2)
- 21x - 33 = 16x - 8
- 21x - 16x = 33 - 8
- 5x = 25
- x = 5
Answer:
128
Step-by-step explanation:
16x(4)(2)=16x8=128
Answer:
firstly it is a four number combo with no repeating numbers so it has to include 5 but if you mean it like you said it 0
Step-by-step explanation:
sry i read it wrong the first time
Answer:
x=4
Step-by-step explanation:
You put 9x+6y=78 over 3x-6y=-30. Then, you are going to add the two equations. So, you are going to do 9x+3x, 6y-6y (since the second 6 is negative, it ends up subtracting), and 78-30. You will end up canceling the 6y's, and end up with 12x=48. Then, you will divide 48 by 12, and get x=4. Hope this helped:)
Answer:
The shortest height is 36 inches
Step-by-step explanation:
Here in this question, we want to know the shortest height with which boxes of 12 inches tall staked will be the same height with which boxes of 18 inches staked beside it
This is a question that has to do with multiples; In other words, we are simply looking for the lowest common multiple of 12 and 18;
The multiples of both are as follows;
12 - 12, 24,36,48,60•••••
18-18,36,54,72••••••
We can see that at the point 36, both have their first multiple match
So we can say that the lowest common multiple of 18 and 12 is 36
