Answer: x= 5-y/2
y= 5-2x
Step-by-step explanation:
2x + y= 5
4x + 2y=10
Addition of the two equations gives:
6x + 3y = 15
6x= 15- 3y
x= 15-3y/6 or simplified to x = 5-y/2
3y= 15- 6x
y= 15-6×/3 or simplified to y= 5-2x
Answer:
-9 < x
Step-by-step explanation:
-3x - 7 < 20
+ 7 + 7
___________
-3x < 27
___ ___
-3 -3
x > -9 [Whenever you <em>divide</em><em> </em>or <em>multiply</em><em> </em>by a negative, reverse the inequality symbol.]
The above answer is written in reverse, which is the exact same result.
I am joyous to assist you anytime.
Answer:
Step-by-step explanation:
If the area of the square is 6400ft², it means that the length of each side of the square is √6400 = 80ft
It means that the opposite side of each triangle is 80ft. Since each triangle is a right angle triangle, we would find the length of the hypotenuse, L by applying Pythagorean theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
L² = 80² + 70²
L² = 11300
L = √11300
L = 106.3 ft
The total length of the gutter would be the sum of the sides of the square and the two triangles.
Total length = 106.3 + 106.3 + 70 + 70 + 80 + 80 = 512.6 ft
We will use d for drama and y for yearbook.
d + y = 64
d = y + 10
Now that we have the system if equations we can use substitution where you plug y+10 in for d in the first equation.
(y + 10) + y = 64
2y + 10 = 64
2y = 54
y = 27
If 27 of the 64 are in the yearbook club, 37 are in drama.
Answer: 25
Step-by-step explanation: