Answer:
y= 2/3 x
Step-by-step explanation:
First plot the points on a Cartesian plan
You will notice a straight line passing through the origin (0,0)
Find the gradient of the line;
m=change in y/change in x
m=2-0/3-0 =2/3
Find the equation of the line
y-2/x-3 =2/3
3(y-2) = 2(x-3)
3y-6= 2x-6
3y=2x-6+6
3y=2x
y=2/3 x + 0
Answer:
The sum of two numbers is 18.
5 times the first number subtracted from 4/7 of the second number is 14.
First number --> x
Second number --> y
so
x + y = 18 --> x = 18-y
5x - (4/7)y = 14
so
5 (18-y) - (4/7)y = 14
90 - 5y - 4/7 y = 14
-5.57 y = 14-90
y = 13.64
so
x = 18 - 13.64
x = 4.36
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!
Answer:
She realised $12 from selling 8 bags of caramel corn
Step-by-step explanation:
Given
(8, 12)
Required
Determine what it means based on the available information
A function is always written as (x,y)
Where x is dependent on y
By comparison,
x = bags of caramel corn = 8
y = amount realised = 12
Assuming the currency is in dollars
Conclusively,
She realised $12 from selling 8 bags of caramel corn.