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.
-9 × 3 - 4² = -27 - 16 = -43
3² + 2² = 9 + 4 = 13
(-9 × 3 - 4²)/(3² + 2²) = -43/13 = -3 4/13
A billion has 9 zeros. So
15,000,000,000
:)
Area of a circle = πr^2
Area of a sector with angle x° = (x/360) πr^2
For the smaller sector,
x = 30°
r = 6 in
Required area of sector = (30/360) × π × 6^2 = 9.424 in^2
To the nearest hundreth, Area = 9.42 in^2
A) P( Jordan finishes before Jacobs)= 2/5 = 0.40
P( Jacobs finishes before Julia) = 3/5 = 0.60
P(Jordan finishes before Jacobs AND before Julia) = 0.40 x 0.60 = 0.24
b)P( Jordan finishes before Jacobs)= 2/5 = 0.40 (already calculated
