4x - 24y = 72
First subtract 4x from each side
-24y = -4x + 72
Divide each side by -24 so y is by itself
y = -4/-24x + 72/-24
To simplify -4/-24, the greatest common factor they have is -4, so divide the numerator and denominator by -4
y = 1/6x + 72/-24
To simplify 72/-24, the greatest common factor is 24, so divide the numerator and denominator by 24
y = 1/6x - 3
This is now in slope intercept form
Answer:
1.58
Step-by-step explanation:
So, we know there are 2.1 pounds, and for every pound it costs 0.75 dollars.
We can multiply the 2.1 by the 0.75 to find our answer.
The easiest way to do this is multiply the two numbers on 2.1 seperatly:
2 * 0.75 = 1.5
0.1 * 0.75 = 0.075
Then add them together:
1.5 + 0.075 = 1.575
Now we can round this to the nearest cent(hundreths place), and since the thousandths place is 5, we round up:
1.58
So our answer is $1.58!
Hope this helps!
Let small cups = S
Large cups = L
They bought a total of 8 cups, so S + L = 8
Rewrite as S = 8-L (1st equation)
Then you also have
$3S + $5L = $30 (2nd equation)
Replace the S in the second equation with the first equation:
$3(8-L) + $5L = $30
Simplify:
24 - 3L + 5L = 30
Combine like terms:
24+2L = 30
Subtract 24 from both sides:
2L = 6
Divide both sides by 2:
L = 3
They bought 3 large cups
Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)
Large = 3 cups, Small = 5 cups
Answer:
1. 8
2. 2.3
3. 1.84
Step-by-step explanation:
