Answer:
$75
Step-by-step explanation:
To find out how much George's mom paid for the 6 tickets, first find the unit rate, that is cost per ticket.
The unit rate/constant of proportionality between cost of tickets (y) and number of tickets (x) can be calculated using the coordinates of any points on the graph.
Using (4, 50), this means that 4 tickets cost $50.
Unit rate/constant of proportionality = y/x = 50/4 = 12.5
This means a ticket costs $12.5.
Therefore, 6 tickets would cost:
6 tickets × $12.5 = $75.
George's mom paid $75 for the tickets?
Rotation is a rigid transformation. It changes neither lengths nor angle measures.
1. B. 52 degrees
2. B. 18 in.
<span>4x + 8y = 7
8y = -4x + 7
y = -1/2x + 7/8 this equation has slope = -1/2
</span><span>line perpendicular to the line 4x + 8y = 7, so the slope = 2
</span><span>same y -intercept as −3x + 5y = −2
</span><span> y intercept means x = 0
</span> 5y = −2
y = -2/5
so
b = -2/5
answer:
equation:
y = 2x - 2/5
Answer:
2x + y - 6 = 0
OR 2x + y = 6
Step-by-step explanation:
First write the equation given in the problem:
y = -2x + 6 This is in slope-intercept form (y = mx + b).
Standard form is written Ax + By + C = 0. When C is a negative number, you might also see it as Ax + By = -C.
The main difference between the two forms in that slope-intercept form isolates the 'y' whereas standard form equates to 0. Don't confuse the 'b' in standard from with the 'B' in slope-intercept form.
To convert from slope-intercept form to standard form, <u>move everything over to the side with 'y'</u>. When you move something, you do its reverse operation to the whole equation. (The reverse of addition is subtraction, the reverse of multiplication is division.)
y = -2x + 6 Do the reverse operations for -2x and +6
y + 2x - 6 = -2x + 2x + 6 - 6 Add 2x and subtract 6 on both sides
y + 2x - 6 = 0 Right side cancels out to be '0'.
2x + y - 6 = 0 Rewrite with the 'x' in front of the 'y'
Here you can see the new equation and what each variable in Ax + By + C = 0 is.
A = 2
B = 1 When a number is not written with the variable, it is 1.
C = -6
Some teachers ask it to be rewritten as Ax + By = -C when 'C' is a negative number.
2x + y = 6
To solve this, you need to make the amount they built on Monday and the amount they built on Tuesday compatible with each other so you can add them together to subtract that amount from 4.
Start by multiplying 1/2 by 3, and 1/3 by 2.
This gives you 3/6 and 2/6. Now add them together:
3/6 + 2/6 = 5/6
Finally, subtract this amount from 4:
4 - 5/6 = 3 1/6 (19/6 works too)
Hope this helps! :)
