Answer:
x = 4/15 and x= 10/3
Step-by-step explanation:
|9x-7|=|6x+3|
There are two solutions, one positive and one negative.
(9x-7)=6x+3 - (9x-7)=6x+3
We will take the positive one first
(9x-7)=6x+3
Subtract 6x from each side
(9x-6x-7)=6x-6x+3
3x -7=3
Add 7 to each side
3x-7+7 = 3+7
3x = 10
Divide by 3x/3 = 10/3
x = 10/3
Now we will take the negative solution
- (9x-7)=6x+3
Distribute the negative sign
-9x+7 = 6x+3
Add 9x to each side
-9x+9x+7 = 6x+9x+3
7 = 15x+3
Subtract 3 from each side
7-3 = 15x +3-3
4 = 15x
Divide by 15 on each side
4/15 =15x/15
4/15 =x
Answer:
13 l of 15%, 13 l of 25%, 26 l of 70%
Step-by-step explanation:
solutions:
final solution:
This includes 0.45*52l= 23.4 l acid
Let's assume:
- amount of 15% solution= x
- amount of 25% solution= y
- amount of 70% solution= z
- and we have z=2y
so there are 2 equation:
or
- x+y+2y= 52 ⇒ x+3y= 52 ⇒ x= 52- 3y
- 0.15x+1.65y=23.4
- 0.15*(52-3y)+1.65y=23.4
- 7.8-0.45y+1.65y=23.4
- 1.2y=23.4-7.8
- 1.2y= 15.6
--------
- x= 52- 3*13= 13 l
- z= 2y= 2*13= 26 l
Answer:
Table 3; Blue graph; y = -4; 2x-3y = 7.
Step-by-step explanation:
Table 3 is a linear relationship because the y-coordinates, or outputs, change by the same rate throughout the table. A constant rate of change defines a linear function.
The blue graph is linear because it is a straight line.
The equation y = -4 is linear because it is the equation of a horizontal line at -4. A function with a line for a graph is linear.
The equation 2x-3y = 7 is linear because it is written in standard form of a linear function, Ax+By = C (in this case A = 2, B = -3 and C = 7).
Total number of blue candies = 20 + 30 = 50
Number of blue candies without nut = 20
Probability of picking a blue candy without a nut = (Number of blue candies with nut) /(Total number of blue candies)
So, Probability of picking a blue candy without a nut =
%
Thus, the correct answer is option A
