Can you send a image please?
Let’s say that the present age ofNorma’s daughter is ‘x’ years. Then 4 years ago, her age was (x - 4) years. Therefore, Norma’s age 4 years ago was: (x - 4) + 3(x - 4) = 4(x - 4) years. 6 years from now, the daughter’s age will be (x + 6) years, and Norma’s age will be: 2(x + 6) years.
Now, 6 years from now will be (6+4), i.e., 10 years away from 4 years ago. Thus, Norma’s age 6 years from now can also be written as 4(x - 4) + 10 = (4x - 6) years. Therefore, 2(x + 6) = 4x - 6.
Or, 2x + 12 = 4x - 6.
Or, 2x = 18.
Thus, the daughter’s age (x) = 9 years, and Norma’s present age = 4(x - 4) + 4 = 24 years.
Answer:
6.63 pounds
Step-by-step explanation:
Total pounds of mixture = 20
The contents of the mixture are; peanuts and almonds. Of which;
Peanuts cost = $2.95 per pound
Almonds cost = $5.95 per pound
The mixture cost = $4.00 per pound
Total cost of contents of the mixture = $8.90
The pounds of peanuts = x 20
= 6.63
Therefore, 6.63 pounds of peanuts was used in producing 20 pounds of the mixture.
Your equation would be y = -3x + 2.
A property of parallel lines is that they all have the same slope, which means that as the slope of y = 5 - 3x is -3 (because it is attached to the x), the slope of the parallel lines must also be -3.
You can finish the equation by seeing that the point they have given you is on the y axis, as x is 0, and so it is the y intercept for this line. This means that your final equation is y = -3x + 2.
I hope this helps