<span>The correct answer is option D. i.e. 15,659,999. Now, this number is closest to the given number i.e. 15,700,000. Becuase when 659 is rounded to the nearest number of hiher value then its value will be 700. Thus,15,659, 999 rounds to 15,700,000 when rounded to the nearest hundred thousand.</span>
4.29 + 97.2 + 0.687 = 102.177
In adding decimal numbers, make sure that the decimal points are aligned. Since each number has different counts of numbers after the decimal point, use 0 to pad the missing places.
4.290
97.200
<u> 0.687
</u> 102.177
The count of numbers after the decimal point is the same count of number of the decimal who has the greatest count of number after the decimal point.
4.29 only has 2 counts of places after the decimal point
97.2 only has 1 count of place after the decimal point
0.687 has 3 counts of places after the decimal point.
The sum of the decimals must also have 3 counts of places after the decimal point.
Answer:
x(2x−3)(x−3)
Step-by-step explanation:
2x^3−9x^2+9x
= x(2x−3)(x−3)
Answer:
My sister will swing the total distance = 40 feet
Step-by-step explanation:
On the first swing my sister travels a distance of 8 feet.
In every successive swing she travels 80% of the distance of the previous distance.
So the sequence formed by the distance traveled in every swing will be a geometric sequence.
First term of the sequence 'a' = 8 feet
common ratio 'r' = 0.80
Since this sequence is an infinite geometric sequence,
Sum of this sequence = 
[Since r < 1]
= 
= 
= 40 feet
Therefore, my sister will cover the total distance = 40 feet
Answer:
(x, y) = (18, 5)
Step-by-step explanation:
Assuming the three lines meet at a single point at lower left (the figure is sloppily drawn), the angle (3x)°+49° is a corresponding angle to (7x-23)°. That means they have the same measure:
3x +49 = 7x -23
72 = 4x . . . . . . . . . add 23-3x
18 = x . . . . . . . . . . . divide by 4
__
Angles (3x)° and (11y-1)° are "corresponding" angles, so are congruent.
3x = 11y -1
3(18) +1 = 11y . . . . add 1, fill in the value of x
55/11 = y = 5 . . . . divide by 11
The values of x and y are 18 and 5, respectively.
