Answer:
There are 230 seats in the auditorium
Row 51 contains 203 seats.
Step-by-step explanation:
Equation: y = 3x + 50
3x is the rate at which the seats are and 50 is the the starting point.
y = 3(51) + 50
y = 203
Row 51 contains 203 seats.
y = 3(60) + 50
y = 180 + 50
y = 230
There are 230 seats in the auditorium
Answer:
30
Step-by-step explanation:
A player answers x correct questions and y incorrect questions for a total of 40 questions.
x + y = 40
The score is obtained by subtracting y incorrect answers from two times the x of correct answers. The player's score is 50.
2x - y = 50
Use substitution to solve. Rearrange the first equation so that it is equal to y. Then, substitute the y-value into the second equation.
x + y = 40
y = 40 - x
2x - y = 50
2x - (40 - x) = 50
2x - 40 + x = 50
3x - 40 = 50
3x = 90
x = 30
Since x was made to represent correct answers, the player had 30 correct answers.
<span>Slope-intercept form is Y = MX + B. This is in standard form, AX + BY = C. You have to move the X to the other side of the equation and simplify it. </span>
<span>10x - 2y = 10 </span>
<span>- 10x - 10x Subtract 10x from both sides </span>
<span>- 2y = - 10x + 10 Now everything is in the right place, but it still needs to be simplified. </span>
<span>Divide each term by -2, in order to isolate the variable Y. </span>
<span>- 2y/ - 2 = - 10x/ - 2 + 10/ - 2 </span>
<span>The answer is: y = 5x - 5</span>
Expression is 900 - 75n
Step-by-step explanation:
- Step 1: Maximum watts that can be used is 900W. Find amount of watts used by n light bulbs.
⇒ Watts used by n light bulbs = 75 × n = 75n
- Step 2: To find the remaining amount of wattage, subtract the maximum possible W and the watts used by the light bulbs.
⇒ 900 - 75n
The correct answer is option C which is x = y.
<h3>What is the alternate interior angle?</h3>
The angle formed by the line intersecting two parallel lines is called the alternate interior angle. This two angles are equal in magnitude.
In the given figure we can see that the angle x will be equal to the angle y because of the right opposite angles.
Since two parallel lines are cutting the upper part at x so the same lower part will be also x due to corresponding angles.
Now just right opposite to x there is an angle y so the angles x and y will be equal to each other.
Therefore the correct answer is option C which is x = y.
To know more about alternate interior angles follow
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