Ratio 1:2:3 means we have x, 2x and 3x as the three parts
x+2x+3x = 42
6x = 42
6x/6 = 42/6
x = 7
Since x = 7, this means 2x = 2*7 = 14 and 3x = 3*7 = 21
Dividing 42 into the ratio of 1:2:3 means we have 7:14:21 as the answer
If we divide all three parts of 7:14:21 by the GCF 7, we reduce it down to 1:2:3
As a check,
7+14+21 = 21+21 = 42
so it works out
1. 78 = 0.15x
78 / 0.15 = x
520 = x.....so 78 is 15% of 520
2. | 3x - 2 | = 8 | x + 1 | = 1
3x - 2 = 8 -(3x - 2) = 8 x + 1 = 1 -(x + 1) = 1
3x = 8 + 2 -3x + 2 = 8 x = 1 - 1 -x - 1 = 1
3x = 10 -3x = 6 x = 0 -x = 2
x = 10/3 x = -2 x = -2
ur answer is : x = -2
3. 3y - 4x + 5 = 0
3y = 4x - 5
y = 4/3x - 5/3
slope = 4/3
Answer: Mean = 20 and standard deviation = 4
Step-by-step explanation:
Let x represents the success of getting the correct answer.
Here, the total number of trials(n) = 100
The probability of getting the correct answer, p = 1/5
Thus, the mean of the number of correct answer,



Now, the standard deviation, 



Thus, First option is correct.
When the base and the height of a triangle are the same. the hypotenuse is that number times sqrt2.
B and C are 7, so a would also be 7
Basically you subtract the amount of people who rode in cars so and divide the number you get by the number of buses.
404-5=399
399/7=57 kids on each bus