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Lana71 [14]
3 years ago
9

A non toxic furniture polish can be made by combining vinegar and oil. The amount of oil should be five times the amount of vine

gar. How much of each ingredient is needed in order to make 27 oz of furniture polish?
Mathematics
1 answer:
julsineya [31]3 years ago
4 0

There should be 4.5 oz of vinegar and 22.5 oz of oil

-5x+y=0

x+y=27

-6x=-27

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In Mario Kart the special blocks are programmed to deliver 3 green
nexus9112 [7]

Answer:

She can expect 12 green shells.

There are 60 green shells out of a total of 1000; this makes the probability of drawing a green shell 60/1000.  If she repeats this process with replacement 200 times, the expected amount of green shells would be

60/1000(200) = 12000/1000 = 12

Step-by-step explanation:

6 0
2 years ago
8, 12, 16,...<br> Find the 31st term.
Ainat [17]
<h2>8, 12, 16,...</h2><h2>Find the 31st term.</h2><h3>352</h3>

<em>Hope I helped.  :)</em>

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7 0
2 years ago
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Plz help with this word problem
s344n2d4d5 [400]
Well, this problem is best solved by setting up a system of two linear equations.

A linear equation can be defined 
y=mx+b
where 
b=initial value (when x=0), and
m=rate of increase or decrease.

In the given example, the x-axis represents hour, and the y-axis, number of cells.

Chemical #1 
initial value = b = 12000 cells
rate = m = -4000 / hr
The equation is therefore 
y1=-4000x+12000......................(1)

Similarly, for chemical #2
initial value = b = 6000 cells
rate = m = -3000 / hr
The equation is therefore
y2=-3000x+6000 .......................(2)

The time the two will have an equal sized colony would represent the solution of the system of equations (1) and (2), i.e. when  y1=y2
which means
-4000x+12000 = -3000x+6000
transpose and solve for x
4000x-3000x = 12000-6000
1000x=6000
x=6 hours.

At 6 hours from the start, 
y=-4000x+12000 = -4000*6+12000 = -24000+12000 = -12000 cells

So the solution is x=6, y=-12000, or (6,-12000)

Physical interpretation
Since cells cannot have a negative number, the two are actually equal before six hours, when they are both zero.
Case 1: y=0 when x=3
Case 2: y=0 when x=2

Therefore, after three hours, both trials will have zero cells.

You have to judge whether to give the mathematical solution (x=6,y=-12000) or the physical interpretation (x=3, y=0) as the answer.


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