Answer:
Step-by-step explanation:
1. Put y on the other side - 200x + 500 = y
y= 200x +500
See, this works because -y, when bringing it to another side, you would be adding it. That cancels out the negative, giving you your slope-intercept form. All you have to do is flip it into y=mx + b form, and that's how you get y=200x + 500
Another way to write this is:
x = 23y + 5
xy = 6732
Now plug in the first equation into the second:
(23y + 5)y = 6732
23y^2 + 5y - 6732 = 0
Either use quadratic equation or factor:
(y - 17)(23y + 396) = 0
y = 17 or -396/23
You know you can automatically eliminate the second y because it's negative and you need the two integers to multiply to a positive number (6732).
Plug y = 17 back into either equation (second might be easier):
17x = 6732
x = 396
Answer:
B
Step-by-step explanation:
This is a neat question
f(x) - g(x) = 2x Add g(x) to both sides
f(x) = g(x) + 2x
Now you need the right hand side to have 20 added to g(x).
2x must = 20
2x = 20 Divide by 2
x = 20/2
x = 10
So the answer must be x = 10
Answer:
The number of Carmel muffins is 8 and the number of lemon muffins is 12.
Step-by-step explanation:
Melvin Marshall bought a total of 20 Muffins . Some were camel-glazed muffins and some were lemon. The Carmel muffins cost $3 each while the lemons cost $2.5 . The number of carmel muffins and lemon muffins can be calculated as follows
total number of muffin = 20
Let
a = number of carmel - glazed muffins
b = number of lemon muffins
a + b = 20.............(i)
The total cost
3a + 2.50b = 54................(ii)
Combine the equations
a + b = 20.............(i)
3a + 2.50b = 54................(ii)
a = 20 - b
insert the value of a in equation (ii)
3(20 - b) + 2.50b = 54
60 - 3b + 2.50b = 54
60 - 54 = 0.5b
0.5b = 6
divide both sides by 0.5
b = 6/0.5
b = 12
Insert the value of b in equation (i)
a + b = 20.............(i)
a + 12 = 20
a = 20 - 12
a = 8
The number of Carmel muffins is 8 and the number of lemon muffins is 12.
1.y= 3x+ 19
2. y= 4x+10
3. y= 7x+-5
