Answer:
y= 1/3 x-4
Step-by-step explanation:
-2x+6y=-24 Write what you are given
+2x +2x Add 2x to each side to get y by itself
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+6y=-24+2x
/6 /6 Divide by six on both sides to get y by itself
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y=-4+ 1/3 x
y= 1/3 x-4 Rearrange to get into y=mx+b form
Set up a proportion:
3.9/11.7 = 13.2/x
Cross multiply:
3.9x = 154.44
Divide 3.9 to both sides:
x = 39.6
So the shadow for an object that is 13.2 will be 39.6 feet long.
Answer:
x>90
Step-by-step explanation:
x/3>30
(x/3)*3>30*3
x>90
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
