Cost of the admission tickets: 11.75x
Cost of the box lunch: 5x
Expressions to find the total cost = (1) ....... 11.75x + 5x
That is equivalent to: (2) .......... (11.75 + 5)x = 16.75x.
Now calculate the cost for x = 5 using both expressions:
1) 11.75(5) + 5(5) = 58.75 + 25 = 83.75
2) 16.75(5) = 83.75
Of course you got the same result with both expressions.
9514 1404 393
Answer:
y = 1/2x -2
Step-by-step explanation:
The given equation is in slope-intercept form, so you recognize its slope is -2. The perpendicular line will have a slope that is the opposite reciprocal of that, so is -1/-2 = 1/2.
The y-intercept can be found from ...
b = y -mx . . . . . for line of slope m through point (x, y)
b = -1 -(1/2)(2) = -1 -1 = -2
Then the slope-intercept equation of the perpendicular line is ...
y = 1/2x -2
Answer:
Supplementary angle; x = 14.
Step-by-step explanation:
Angle (9x - 2) and angle (10y + 6) form a straight line, so they form a supplementary angle.
Because angle (9x - 2) and (5x + 54) are corresponding angles, we can set them equal to each other.
9x - 2 = 5x + 54
9x - 5x = 54 + 2
4x = 56
x = 14.
Hope this helps!
Answer:
Proof below.
Step-by-step explanation:
<u>Quadratic Formula</u>

<u>Given quadratic equation</u>:

<u>Define the variables</u>:
<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:







Therefore, the exact solutions to the given <u>quadratic equation</u> are:

Learn more about the quadratic formula here:
brainly.com/question/28105589
brainly.com/question/27953354