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3 years ago

If A + B = 2X -2 and A -B equals 4X -8, find A and B

1 answer:

8 0

A=3X-3
B=-X+3
If A+B=2X-2, then using equalivant exchange A=2X-2-B and
B=2X-2-A
If A-B=4X-8, then A=4X-8+B and -B=4X-8-A(or B=-4X+8+A)
Since A equals both 2x-2-B and 4X-8+B we can add both equations to equal 2A=6X-6 now we devide that by 2 to get
A=3X-3
Do the exact same for B, so b equals both 2X-2-A and -4X+8+A
We can add them both to get 2B=-2X+6 and decide that by 2 to get B=-X+3

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An athlete's speed on her bike is 14mph faster than her average speed running. She can bike 31.5 miles in the same time that it

scoundrel [369]

You would cross multiply.
14 over 31.5
and X over 10.5
10.5 times 14 is 147
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3 years ago

You need a new mat to place under your dogs water bowl. The mat has a diameter of 24 inches and the water bowl has a diameter of

Ad libitum [116K]

Answer:

200.96

Step-by-step explanation:

So, we have to find the area of both.

The area for the mat is

(pi)12^2=3.14x144. However, since it is HALF a circle, we divide it by two.

So, 226.08

Next, the water bowl.

(3.14)4^2=50.24.

226.08-25.12=200.96

I may be wrong!

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2 years ago

A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

3 years ago

Please answer quick thank you!!

Rudiy27

Answer:

y= $\frac{x+9}{n}$

Step-by-step explanation:

x/y=n-9

x= y(n-9)

x= yn-9n

-yn= -x-9n

yn= x+9n

y= $\frac{x+9}{n}$

3 0

3 years ago

Read 2 more answers

Can someone please help me with number 19

kipiarov [429]

The expression of the problem is, 8x.
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3 0

3 years ago