The system of linear equations that relates x and y:
x= 15 + y
5 x = 2 y+ 525
We will solve this system using substitution method:
5(15 + y)=2 y + 525
75 + 5 y = 2 y + 525
5 y - 2 y = 525 - 75
3 y = 450, y = 450 : 3 y = 150
x = 15 + y x = 15 + 150 x = 165
Answer: Aaron´s height is 165 cm and Peter´s height is 150 cm.
Answer:
Step-by-step explanation:
∠FGE + 110 = 180 {linear pair}
∠FGE = 180 - 110
∠FGE = 70°
There are several important information's already given in the question. Based on those given information's the answer to the question can be easily deduced.
Number of stamps that Ira has in his stamp album = 128
Number of pages that the stamp album has = 8
Then
Number of stamps in each page of the stamp album = 128/8
= 16
So 16 stamps are there on each page of the stamp album. I hope the procedure is clear enough for you to understand. You can always use this method for solving similar type of problems in future without requiring any additional help.
Answer:
98child tickets were sold that day
Step by step Explanation:
Let the number of children= A of the number of adult
Then
6.20C + 9.50A = 1082.0
From the question it was said that four times as many adult tickets as child tickets were sold which implies that number of adult was FOUR times the children, then we can say
A= 4C
Then substitute into the above equation
6.20C + 9.50A = 1082.0
6.20C + 9.50(4C) = 1082.0
6.20C + 38C= 1082.0
44.2C =1082.0
C= 24.48
But we know that
A= 4C
A=4* 24.48
A= 97.9
Therefore ,98child tickets were sold that day
A and b are perpendicular meaning that they intersect forming 90
b and c are parallel meaning that the intersection of c and a is also perpendicular
11x - 9 = 90 degrees
solve
11x - 9 = 90
add 9 to both sides
11x = 99
divide both sides by 11
x = 9
Hope this helps
