Answer:
(2, 4.5 )
Step-by-step explanation:
Given the 2 equations
6x + 4y = 30 → (1)
5x - 2y = 1 → (2)
Multiplying (2) by 2 and adding to (1) will eliminate y
10x - 4y = 2 → (3)
Add (1) and (3) term by term to eliminate y
16x + 0 = 32
16x = 32 ( divide both sides by 16 )
x = 2
Substitute x = 2 into either of the 2 equations and solve for y
Substituting into (1)
6(2) + 4y = 30
12 + 4y = 30 ( subtract 12 from both sides )
4y = 18 ( divide both sides by 4 )
y = 4.5
solution is (2, 4.5 )
Answer:
.....yes
Step-by-step explanation:
Hello!
OK, so first we need to see all of our info.
To rent a bike = $17
Each additional hour = $2 per hour
Let "rent a bike" = r
Let "each additional hour" = h
27 = r + 2h
Now to solve.
27 - 17 = 10
10 ÷ 2 = 5
This shows us that she rented the bike for 5 hours.
Check:
27 =? 17 + 2(5)
Solve:
27 = 17 + 10
27 = 27
Yes, we are correct!
Final equation = 27 = r + 2h
Final answer = Ashely rents the bike for 5 hours.
Hope this helped!
Length of diagonal, l = √(a² + b²)
l = √(130² + 200²)
l = √(16900 + 40000)
l = √56900
l = 238.537
After rounding-off to the nearest whole number, it would be 239.
In short, Your Answer would be Option D
Hope this helps!
I believe x=25 and y=10.
Step-by-step explanation:
Because we know the angles in a parallelogram add up to 360 degrees, we can add up values and divide to find x and y. 8y and 4x-20 are supplementary, they must equal the same value. Same with 10y and the other corner. By this, we can do 10y times 2 and 8y times 2 to get 16y plus 20y, or 36y. Then, we divide 360 degrees by 36. We get y=10 from this. Plug in 10 to 8y and get 80 as the upper left angle measurement. This means that 4x-20 equals 80. Add 20 to 80 on both sides so it cancels out and you get 100=4x. Simply divide and you will get x=25. To make sure this is right, plug all the numbers in and make sure all of the angles add up to 360. Hope this helps :)