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3 years ago

Please help me with question 4!

Mathematics

1 answer:

Minchanka [31]3 years ago

6 0

Answer:

I think that there might be some complex differential equation

stuff going on here if this were in the real world, but for the sake of this problem... may I suggest that the tank is filling up at a rate of

1/8 of a tank per hour...

it is evaporating at a rate of 1/12 tank per hour

you can subtract the rates

1/8 - 1/12 = 12/96- 8/96 = 3/96 = 1/32 tank/hr

so to fill the tank it should take 32 hours...

I think the logic and math work... lets see if someone else will verify this analysis?

Step-by-step explanation:

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Which costs the most: 12 cat toys, 4 bags of cat food, or 3 litter boxes? Explain.

lukranit [14]

Answer:

3 litter boxes

Step-by-step explanation:

It depends what type it is

7 0

2 years ago

A line, y = mx + b, passes through the point (10, 3) and is parallel to the line 2x+5y=12.

slava [35]

We have been given that a line $y=mx+b$ passes through the point (10, 3) and is parallel to the line $2x+5y=12$ . We are asked to find the y-intercept of the line.

First of all we will rewrite our given equation in slope-intercept form as:

$2x-2x+5y=12-2x$

$5y=-2x+12$

$\frac{5y}{5}=-\frac{2}{5}x+\frac{12}{5}$

$y=-\frac{2}{5}x+\frac{12}{5}$

We know that slope of parallel lines is equal, so slope of parallel line to our given line would be $-\frac{2}{5}$ .

Now we will use slope-intercept form of equation to find y-intercept.

$y=mx+b$ , where,

m = Slope,

b = The y-intercept.

Let us substitute $m=-\frac{2}{5}$ and coordinates of point $(10,3)$ in above equation as:

$3=-\frac{2}{5}(10)+b$

$3=-2(2)+b$

$3=-4+b$

$3+4=-4+4+b$

$7=b$

Therefore, the y-intercept is 7 and our required equation would be $y=-\frac{2}{5}x+7$ .

5 0

3 years ago

When Michael was 10 years old, Sam was 14. Sam is now 28 and Michael is 24.

SpyIntel [72]

Answer:

4 years difference

Step-by-step explanation:

6 0

3 years ago

What is the vertices of hexagon<br>

nata0808 [166]

Number of vertices of hexagon is 6

5 0

3 years ago

Read 2 more answers

Answers for both boxes please

sleet_krkn [62]

Answer:

x = -5 y = -3

Step-by-step explanation:

-3x + 2y = 9

multiply the 2nd equation by 3 to set it up for elimination

3(x - 3y)= 3(4)

3x-9y = 12

so now combine both to add

-3x + 2y = 9

3x - 9y = 12

Adding both gives you

-7y = 21

divide both by -7 and you get

y = -3

and you substitute y back into equation to get x

x - 3 (-3) = 4 gives you

x + 9 = 4

x = 4 - 9

x = -5

7 0

2 years ago