Answer:
4 per hour
8/2=4
Step-by-step explanation:
First number = X
Second number = 8X
Third number = X - 3
The equation would be
X + (8X) + (X - 3) = 207
X + (8X) + (X - 3) = 207
X + 8X + X - 3 = 207
10X - 3 = 207
10X = 207 + 3
10X = 210
X = 21
First number = 21
Second number = 8 * 21 = 168
Third number = 21 - 3 = 18
Answer: 2.7
Step-by-step explanation:
LA=3.5; AY=7
LW=?
LW=LA+AW
AW=?
Let's analyze triangles LAY and YAW
1) Triangle LAY
Angle LAY is 90°
Suppose Angle ALY is x
The angle LYA is the complement of x, for example y:
x+y=90°→y=90°-x
2) Triangle YAW
Angle AYW is the complement of angle LAY (y), then the angle AYW must be equal to x.
Angle YAW is 90°, because the angle LAY is 90°
The triangles LAY and YAW are similars, because they have to congruent angles:
Angle LAY = 90° = Angle YAW
Angle ALY = x = Angle AYW
Then the sides of triangles LAY and YAW must be proportionals:
AW/AY=AY/LA
Replacing the known values:
AW/7=7/3.5
AW/7=2
Solving for AW. Multiplying both sides of the equation by 7:
7(AW/7)=7(2)
AW=14
Now:
LW=LA+AW
LW=3.5+14
LW=17.5
Answer: LW=17.5 units
You would need 12 16oz boxes of pasta
12×4=48
