Answer:
The three numbers are 341, 342, and 343
Step-by-step explanation:
We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 1026. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 1026
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 1026
3X + 3 = 1026
3X + 3 - 3 = 1026 - 3
3X = 1023
3X/3 = 1023/3
X = 341
Which means that the first number is 341, the second number is 341 + 1 and the third number is 341 + 2. Therefore, three consecutive integers that add up to 1026 are 341, 342, and 343.
341 + 342 + 343 = 1026
We know our answer is correct because 341 + 342 + 343 equals 1026 as displayed above.
Every calculation with multiple operations must abide to BODMAS (Brackets, Other, Divide, Multiple, Addition, Subtraction)
Thus we would multiple first, giving us 86138220. Then we would add giving us: 86145009
The empirical rule states that approximately 68/95/99.7% of a normal distribution lies within 1/2/3 standard deviations. So the answer is 68%.
Answer:
Step-by-step explanation:
So 8 times more than 2/3
Answer:
See Below
Step-by-step explanation:
To get volume of cuboid, we multiply the 3 dimensions.
<u>Volume of Box</u> = 28 * 15 * 20 = 8400
<u>Volume of 1 disc case</u> = 1.5 * 14.2 * 19 = 404.7
<u>Volume of 17 disc cases</u> = 17 * 404.7 = 6879.9
Since, volume of 17 disc cases is less than volume of the cuboid box, definitely 17 disc cases will fit the box.
