Step-by-step explanation:
2x + y = 21
Solving
2x + y = 21
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1y' to each side of the equation.
2x + y + -1y = 21 + -1y
Combine like terms: y + -1y = 0
2x + 0 = 21 + -1y
2x = 21 + -1y
Divide each side by '2'.
x = 10.5 + -0.5y
Simplifying
x = 10.5 + -0.5y
Answer:
18 movies
Step-by-step explanation:
1) Subtract the monthly charge from Marissa's total allowance
28.50 - 5.00 = 23.5
2) Divide 23.5 by the charge per movie.
23.5/1.25 = 18.8
3) Since there cannot be 4/5 of a movie, Marissa can spend enough to watch 18 movies.
The length of the ramp calculated using Pythagoras is approximately 350 cm
From the diagram attached :
- Height of ramp = opposite = 225 cm
- Angle of inclination, θ = 40°
Using Pythagoras ; the length of the ramp can calculated as follows :
Sin θ = opposite / hypotenus
Sin 40° = 225 / hypotenus
Cross multiply
Hypotenus × 0.6427876 = 225
Divide both sides by 0.6427876 to isolate the hypotenus
Hypotenus = 225 / 0.6427876
Hypotenus = 350.03786 cm
Therefore, the length of the ramp which is the hypotenus is approximately 350 cm
Learn more : brainly.com/question/10040532
Answer:
The greater amount is $25 and the smaller amount is 10% which is 23.7 dollars. Hope this helps!
Answer:
2820.36 feet
Step-by-step explanation:
First we need to find the length of the outer corridor, and we do that by finding the length of the circunference with a radius of 25 feet:
C = 2 * pi * r = 2 * pi * 25 = 157.08 feet
Now, as Heather walks the outer corridor 17 times and the length of 6 spoke aisles (the radius of the circunference), we have that the total distance she walks is:
Distance = 17 * 157.08 + 6 * 25 = 2820.36 feet
