Answer:
m = 2/3
y-intercept: 2
Explanation:
First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.
This equation should be in the form: Ax + By = C (Standard form)
y = -Ax/B + C/B : y = mx + b (Slope intercept form)
2(6y - 4x) = 24 → 12y - 8x = 24
→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>
<u>8</u>x <u>- 12</u>y = <u>-24</u>
| | |
A B C
Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.
8x - 12y = -24
-8x -8x
(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)
-12y = -8x - 24
×-1 ×-1 ×-1
(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)
12y = 8x + 24
(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)
Answer:
24, 48, 108
Step-by-step explanation:
2:9:4
2x+9x+4x=180
15x=180
x=12
2(12)=24
9(12)=108
4(12)=48
X=-11 :) let me know if you need more help!
Answer:
Step-by-step explanation:
This is a straight proportion problem.
15/42 = x/140 Cross Multiply
15*140 = 42 * x
2100 = 42x Divide by 42
2100/42 = x
x = 50 ml of HCl will be needed.
Well, we need the information of the dimensions and the volume of the sweets.
Because the volume of the cylinder is

r, radius, is half of the diameter, so 3/2=1.5
h is height
so the volume is

=

=70.65
(

, approximately)
now, let's say that each sweet has a volume of 1, we can then fit in 70 sweets. But since you forgot to give the dimentions or volume of the sweets, all i can say is: you need to divide 70.65 by the volume of the sweets!