Let x equal the # of child tickets
Let y equal the # of adult tickets
x + y = 84
3x + 5y = 360
Solve and state the answer. Use the substitution method to solve this system. Solve the first equation for x.
x + y = 84
x = 84 - y
Now substitute the resulting expression into the other equation and solve for y.
3( 84 - y ) + 5y = 360
252 - 3y + 5y = 360
Combine like terms
252 + 2y = 360
Subtract 252 from both sides
2y = 108
Divide by 2 on both sides
y = 54
Substitute the value of y into the equation that we solved for x, x = 84 - y
x = 84 - 54
x = 30
Therefore the answer should be, 30 childrens tickets sold and 54 adult tickets sold.
Answer:
Step-by-step explanation:
y^2 -x^2=
y^2=9^2=81
x^2=2^2=4
81-4=77
Part 1: Answer:
(x+1)(x+1)(x-6) = x^3 - 4x^2 - 11x - 6
Step-by-step explanation:
To make r a root, include (x-r) as a factor. (-1+1)(-1+1)(-1-6) is zero even though (-1-6) isn't.
(6+1)(6+1)(6-6) is zero.
Part 2 Answer:
Standard form: y = -x^4 + 12
Degree 4
left end goes down, right end goes down.
Step by step: apply the definitions of standard form, polynomial degree, and "end behavior". In other words, read the textbook.
Part 3: Answer: x = 3, x = 8
Step by step:
x^2-11x = -24
x^2-11x+24 = 0
(x-3)(x-8) = 0
x = 3 or x = 8
Part 4a Answer:
quotient 2x^2 + x - 3
remainder 1
Step by step:
2x^2 + x - 3
___________________
x-4 ) 2x^3 - 7x^2 - 7x + 13
2x^3 - 8x^2
__________
0 + x^2 - 7x + 13
x^2 - 4x
____________
0 - 3x + 13
- 3x + 12
______
1
Part 4b answer:
quotient 2x^2 - 6x + 2
remainder -20
Step by step: you have to know exactly what you are doing. Refer to textbook or Wikipedia.
dividend 2x^3 +14x^2 - 58x
divisor x+10
leading coefficient of divisor must be 1
write coefficients of dividend at top
write coefficients of dividend at left
| 2 14 -58 0
-10 | -20 60 -20
___________
| 2 -6 2 -20
Coefficients of quotient are 2 -6 2
Remainder is -20
quotient = 2x^2 - 6x + 2
Answer:
x=15
Step-by-step explanation:
6x+15=7x
15=x
Answer:
50/50
Step-by-step explanation:
50/50
At what point does it stop being partly cloudy and start being partly sunny outside? 50/50, as you'd expect. Partly cloudy - In a forecast, this means that less than half of the day will be cloudy. For a current condition, this means that less than half of the sky is covered by clouds.
