−10x+5y=10
x−5y=−28
Rewrite equations:
x−5y=−28
−10x+5y=10
Step: Solve:
x−5y=−28
x−5y+5y=−28+5y(Add 5y to both sides)
x=5y−28
Step: Substitute:
−10x+5y=10
−10(5y−28)+5y=10
−45y+280=10(Simplify both sides of the equation)
−45y+280+−280=10+−280(Add -280 to both sides)
−45y=−270
−45y
−45
=
−270
−45
(Divide both sides by -45)
y=6
Step: Substitute:
x=5y−28
x=(5)(6)−28
x=2(Simplify both sides of the equation)
Answer:
x=2 and y=6
Answer:
a) BC is the longest side
b) AB is the longest side
✌️
Answer:
30.5 ; 49 ; 27 ; 50 ; 45
Step-by-step explanation:
Determine the first and third quartiles. Determine the second decile and the eighth decile. Determine the 67th percentile
Given the ordered data :
13 13 13 20 26 27 29 32 34 34 35 35 36 37 38 41 41 41 42 44 46 47 48 50 53 55 56 62 67 82
Sample size, n = 30
The first quartile ;Q1
Q1 = 1/4(n+1)th term
Q1 = 31/4 = 7.75th term
Q1 = (29+32)/2
Q1 = 30.5
Q3 ;
Q3 = 3/4(n+1)th term
Q3 = 3(31)/4 = 23.25 th term
Q3 = (48 + 50) /2 = 49
2nd decile :
0.2 * (nth term
0.2 * 30 = 6th term = 27
8th decile :
0.8 * 30 = 24 th term
= 50
67th percentile :
0.67 * (n+1)th term
0.67 * 31 = 20.77
= (44 + 46) / 2
= 45
Answer:
The numbers 1 to 12 must be placed in the circles of the star shown on the right. The sums of the numbers in each row, and the sum of the numbers in the six outer circles of the star, must be equal to 26. Arrange the numbers accordingly.
