Answer:
-2/3
Step-by-step explanation:
2x + 3y = - 3 re-arrange to y = mx+b form: slope of this line will be 'm'
y = -2/3 x -1 slope = -2/3 parallel slope is the same
Answer:
$19 for one package of oatmeal cookie dough and $14 for one package of chocolate chip cookie dough
Step-by-step explanation:
We need to set up two equations: one that shows how much money Mike made and one that shows how much money Shawna made.
Let's make a = price for one chocolate chip cookie dough and b = price for one oatmeal cookie dough.
First equation for Mike: 12a + 3b = 225
Second equation for Shawna: 6a + 11b = 293
Next we isolate b from Mike's equation: b = 75 - 4a
Then we plug this equation into Shawna's equation and we get:
6a + 11(75 - 4a) = 293
Solving for a would get us 14, or $14 for one chocolate chip cookie dough.
If we plug 14 = a into Mike's original equation and solve for b, we get b = 19, or $19 for one oatmeal cookie dough.
Hope this helped!
1000
Step-by-step explanation:
Find the height of the triangle using the Pythagoras theorem
Then, use it to calculate the area of the triangle
Answer:
(C) 220
Step-by-step explanation:
Let x represent the number of adult tickets sold and y represent the number of student tickets sold. With the information given, we can set up two equations:
(Since for every adult ticket sold, $5 is made and for every student ticket sold, $3 is made)
In the first equation, we can represent x in terms of y:

And then, we can substitute x in the second equation for 360 - y to get:
which simplifies to:
and therefore,
.
Hope this helps :)
Answer:
x=1.8
Step-by-step explanation: