Answer:
Step-by-step explanation:
Let's start off with the first equation
5x + y = 60
We need to find what X and Y are.
Let's try subtracting a few numbers from 60.
Let's do 60 - 55 = 5
11x5 = 55
11 = Children Ticket Cost
5 = Seniors Ticket Cost
Without them being the same price!
So using the numbers we found, we can now solve the second one
14x5 = 70
11x11 = 121
70 + 121 = 191
There we go!
Hope this helped! Please give brainiest if you can :)
Answer:
Step-by-step explanation:
a1 = 3(1) - 7 = - 4
a2 = 3(2) - 7 = -1
d = a2 - a1
d = -1 - (-4)
d = -1 + 4
d = 3
a60 = 3(60) - 7
a60 = 180 - 7
a60 = 173
n = 60
Sum = (a1 + a60) * n / 2
Sum = (-4 + 173) * 60/2
Sum = (169)*30
Sum = 5070
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Just to check, we'll use the second summation formula
d = 3
n = 60
a1 = -4
Sum = (2*a1 + (n - 1)*d )*n / 2
Sum = (2*(-4) + (60 -1)*3)* 60/2
Sum = (-8 + 59*3) * 30
Sum = (177 - 8)*30
Sum = 169 * 30
Sum = 5070
Same answer.
Answer:
Length of arc = 5 cm (Approx)
Step-by-step explanation:
Given:
Radius of circle = 20 cm
Angle = 1/4 radian
Find:
Length of arc
Computation:
Angle in degree = 1/4 radian × 180°π
Angle in degree = 1/4 × 180° / 22/7
Angle in degree = 14.31° Approx
Length of arc = (Ф / 360)2πr
Length of arc = (14.31 /360)2(22/7)(20)
Length of arc = 4.997 cm
Length of arc = 5 cm (Approx)
Answer:
Step-by-step explanation:
<u>Given</u>
Multiply all terms by -3
Add 12x to both sides