2/15 and 3/5 share 15 as the least common denominator, hence, added up, it equals 11/15. Lindsay has 4/15 votes.
Answer:
Step-by-step explanation:
Question:
Prove the following statement directly from the definitions.
The difference of any two rational numbers is a rational number.
Answer, see attachment for proof.
Answer:
P = 6x³ + 12x² - 18x + 8
Step-by-step explanation:
Given that:
Length = 3x3+4x2−6x
Width = 2x2−3x+4
The length of fencing needed will be :
Perimeter of rectangle (P) = 2( Length + Width)
P = 2[ (3x3+4x2−6x) + (2x2−3x+4)]
P = 2 (3x³+ (4x² + 2x²) + (-6x - 3x) + 4)
P = 2(3x³ + 6x² - 9x + 4)
P = 6x³ + 12x² - 18x + 8
Answer:
A) square; rectangle; rhombus
Step-by-step explanation:
Opposite sides are parallel and all sides are the same length. Angles at the corners are 90°, so the figure is a rhombus, rectangle, and square: choice A.
Answer:
The answer is below
Step-by-step explanation:
Let x represent a first place finish, y represent a second place finish and z represent a third place finish.
Since there is a total of 20 individual events, hence:
x + y + z = 20 (1)
A first place finish is 5 point, a second place finish is 3 point and third place finish is 1 point. Therefore:
5x + 3y + z = 68 (2)
The second place finishers is as much as first and third-place finishers combined. Hence:
y = x + z (3)
Solving equation 1, 2 and 3 simultaneously gives:
x = 7, y = 10 and z = 3
This means the number of first place finishes was 7, second place finishes was 10 and third place finishes was 3
