Number of child tickets: x
Number of adult tickets: y
1) x+y=370
2) 3x+7y=1750
Using the method of substitution
a) Isolating y in the first equation:
1) x+y=370→x+y-x=370-x→y=370-x
b) Replacing y=370-x in the second equation:
2) 3x+7y=1750→3x+7(370-x)=1750
c) Solving for x: Distributive property:
3x+7(370)-7x=1750
3x+2590-7x=1750
Adding similar terms:
-4x+2590=1750
-4x+2590-2590=1750-2590
-4x=-840
Dividing both sides of the equation by -4:
-4x/(-4)=-840/(-4)
x=210
Replacing x=210 in the first equation:
1) y=370-x→y=370-210→y=160
Answer:
The number of child tickets was 210 and
the number of adult tickets was 160
Answer:
M=P where M is every math teacher and P is every physics teacher.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The equation is x^4 – 5x^2 – 36 = 0
We will break the middle term:
Firstly multiply the coefficient of x^4 by constant term of the equation:
1*36 = 36
Now find any two numbers whose product is 36 and their sum or difference is equal to 5
9*4 = 36
9-4 = 5
Now,
x^4 – 5x^2 – 36 = 0
x^4-9x^2+4x^2-36=0
Now take the common:
x^2(x^2-9)+4(x^2-9)=0
(x^2+4)(x^2-9)=0
x²+4=0,
x²= 0-4,
x²=-4,
Take root on both sides:
√x²=+/-√-4
+/-√-4 = +/-√-1 *√4
√-1 = i
Then +/-√-1 *√4 = √4 i
We know that the root of 4 is 2
Then we can write it as +/-2i
Thus x = 2i , -2i
Now (x^2-9)= 0
x²=0+9
x²=9
Take square root on both sides:
√x²=√9
x=+/-3
x= 3, -3
Therefore the values of x are 2i, -2i, 3 , -3 ....
Answer:
1
Step-by-step explanation:
definite integral from 0-2 of root x dx
root x = x^½
integral of x^½ = ⅔x^(3/2)
Answer:
h = 84
f = 132
g= 28
Step-by-step explanation:
h = 180 - 48 - 48 = 84
f = 180 - 48 = 132
g = 180 -132 - 20 = 28
