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WINSTONCH [101]
3 years ago
14

2/3(2x-1)+2 1/3=7+1/2x

Mathematics
1 answer:
schepotkina [342]3 years ago
3 0

Answer: x=4/5

<u>Step 1</u>

<u></u>2/3*2*(2*x-1)-x+2*7-7*2 = 0\\5/3*x-14-4/3+14 = 0\\5/3*x-14+38/3 = 0<u></u>

<u></u>

<u>Step 2</u>

<u></u>5/3*x-4/3 = 0\\(5/3*x-4/3)/2 = 0\\(5/3*x-4/3)/2 = 0 // * 2\\5/3*x-4/3 = 0<u></u>

<u></u>

<u>Step 3</u>

<u></u>5/3*x-4/3 = 0 // + 4/3\\5/3*x = 4/3 // : 5/3\\x = 4/3/5/3\\x = 4/5<u></u>

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There are 5 white balls, 8 red balls, 7 yellow balls and 4 green balls in a container. A ball is chosen at random. What is the p
arlik [135]

Answer:

8/24=<u><em>1/3 </em></u>

There are 24 balls in total and 8 of them are red. So you get 8/24 but you need to simplify it to its simplest form which is 1/3

5 0
3 years ago
How can i find The function of f(x) = 150 (1.3)^t
natka813 [3]

Answer:

See below.

Step-by-step explanation:

In comments, you said you wanted it graphed.

If it says f(x) on the left side, the equation should have an 'x' on the right side, so something is fishy here.

But, in an effort to try and help you ....

With the data you have given, I would graph it just like y = 150 (1.3)^x

You can pick various values for x, like -3,-2,-1,0,1,2,3 and see what y is for each one, then plot the points on graph paper.

If x = 0, y= 150(1.3)^0 = 150(1) = 150  because anything to power zero is 1

If x = -1, y= 150(1.3)^(-1) = 150(1/1.3) ≈ 132.7

If x = +1, y= 150(1.3)^(1) = 150(1.3) = 195

And so on.

I did the graph on DESMOS and it has a very large scale.

4 0
3 years ago
Members of the drama club sold T shirts for their upcoming musical. Of the 80 T shirts sold, 55 % were size medium. How many of
scZoUnD [109]
Answer: 44 shirts were a size medium

To find this answer...
We know that 80 T shirts are equal to 100% of the the T shirts

To find 55% of 80, we could cross multiply

80 ?
------ -----
100% 55%

1. We multiple 80 by 55 to get 4,400
2. We divide 4,400 by 100 to get 44
3. 44 is 55% of 80


Hope this helps!
6 0
3 years ago
50 POINTS!!!!!!! WILL GET BRAINLIEST IF CORRECT!!!!!
VLD [36.1K]

Answer:

43

Step-by-step explanation:

6 0
3 years ago
Consider the surface defined by the equation x3 + y3 + z3 = 3xyz. Use implicit differ- ∂z entiation to find ∂x. (Note z is not a
Aloiza [94]

Answer:    

   \frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}

Step-by-step explanation:

Given equation is x^{3}+y^{3}+z^{3}=3xyz ………………(1)

we use derivative formula \frac{d}{dx}(x^{n})  = n x^{n-1}

\frac{d}{dx}(x^{3)}  = 3 x^{2}

\frac{d}{dx}(z^{3)}  = 3 z^{2}

And also apply 'u v' formula

\frac{d}{dx}(uv})  = u\frac{d}{dx}(v)+v\frac{d}{dx}(u)

Differentiating  equation (1) partially with respective to 'x' , we treated 'y' as constant.

(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =3y(x\frac{∂z}{∂x}+z(1))   ( here y treated as constant so the derivative of constant function is zero in addition but in multiplication the constant is keep as like 'y').

on simplification , we get

(3x^{2} +0+3z^{2}\frac{∂z}{∂x}) =(3yx\frac{∂z}{∂x}+3yz)

again simplification, we get

3z^{2}\frac{∂z}{∂x}- 3yx\frac{∂z}{∂x}=3yz-3x^{2}

taking common '\frac{∂z}{∂x} on left on side , we get

(3z^{2}- 3yx)\frac{∂z}{∂x}=3yz-3x^{2}

dividing '(3z^{2}- 3yx) on both sides, we get

\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}

<u>Final answer</u>:-

\frac{∂z}{∂x}=\frac{(3yz-3x^{2})}{3z^{2} -3xy}

6 0
3 years ago
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