Answer:
The mixtures are not proportional.
3 fluid ounces of vinegar has to be added in the second mixture to make it proportional to the first mixture.
its =3
Step-by-step explanation:
The one mixture contains 6 fluid ounces and 10 fluid ounces of water and vinegar respectively.
Therefore, the ratio of water to vinegar in the first mixture is 6 : 10 = 3 : 5
Now, a second mixture contains 9 fluid ounces of water and 12 fluid ounces of vinegar.
Hence, the ratio of water to vinegar in the second mixture is 9 : 12 = 3 : 4
Therefore, the mixtures are not proportional.
Therefore, we have to add x fluid ounces of vinegar to the second mixture to make it in the ratio of 3 : 5.
So,
⇒ 12 + x = 15
⇒ x = 3 fluid ounces.
Therefore, 3 fluid ounces of vinegar has to be added in the second mixture to make it proportional to the first mixture. (Answer
Let’s make an equation
Let’s say x = amount of years after
Smith = 8, mother = 42
3(8 + x) = 42 + x
24 + 3x = 42 + x
2x = 18, x = 9
Solution: after 9 years
Answer:
Step-by-step explanation:
Gradient of a line =( y2 - y1)/x2 - x1
From the question, x1=4,y1=-1,x2=1,y2=0.
Therefore, substitute for these values in the above formula
m = 0-(-1)/1-4
= 0+1/-3
= -1/3.
Therefore, y-y1/x-x1 = -1/3
y - y1 = -1/3(x - x1)
y - (-1) = -(x-x1)/3
y+1 = - (x - 4)/3
Multiply through by 3
3y+3= -x+4
3y +x=4-3
x+3y= 1
Therefore the answer is A.
Answer:
9 cm, C
11 cm, B
14 cm A
Step-by-step explanation: