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Elan Coil [88]
3 years ago
12

15 points hurry please

Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

the third and fifth one

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4/3x + 1/6x = 36 (solve for x please help I have no idea what it is!!!!!!!
ElenaW [278]

Answer:

x = 24

Step-by-step explanation:

\frac{4}{3}x + \frac{1}{6}x = 36

Make the denominator the same by multiplying the first fraction by 2 to make both denominators 6.

\frac{8}{6}x + \frac{1}{6}x = 36

Now we can calculate the numerators and keep the denominators the same.

\frac{9}{6}x = 36

Find x.

\frac{6}{6}x = \frac{6}{9} × 36

x = 24

7 0
2 years ago
A rectangular box has a square base. The combined length of a side of the square base, and the height is 20 in. Let x be the len
aniked [119]

Answer:

a. V = (20-x) x^{2} in^{3}  

b . 1185.185 in^{3}

Step-by-step explanation:

Given that:

  • The height:  20  - x (in )
  • Let x be the length of a side of the base of the box (x>0)

a. Write a polynomial function in factored form modeling the volume V of the box.

As we know that, this is a rectangular box has a square base so the Volume of it is:

V = h *x^{2} in^{3}

<=> V = (20-x) x^{2}  in^{3}

b. What is the maximum possible volume of the box?

To  maximum the volume of it, we need to use first derivative of the volume.

<=> dV / Dx = -3x^{2} + 40x

Let dV / Dx = 0, we have:

-3x^{2} + 40x  = 0

<=> x = 40/3

=>the height h = 20/3

So  the maximum possible volume of the box is:

V = 20/3 * 40/3 *40/3

= 1185.185 in^{3}

7 0
3 years ago
6x-y=-23 8x+3y=-9 Substition method (Show it step by step please!)
Tanya [424]

Answer:

solution is (- 3, 5 )

Step-by-step explanation:

given the 2 equations

6x - y = - 23 → (1)

8x + 3y = - 9 → (2)

rearrange (1) expressing y in terms of x

y = 6x + 23 → (3)

Substitute y = 6x + 23 into (2)

8x + 3(6x + 23 ) = - 9

8x + 18x + 69 = - 9

26x + 69 = - 9 ( subtract 69 from both sides )

26x = - 78 ( divide both sides by 26 )

x = - 3

substitute x = - 3 into (3)

y = (6 × - 3 ) + 23 = - 18 + 23 = 5

solution is (- 3, 5 )


5 0
3 years ago
Which expression is equivalent to 150x² - 60x ?
Bas_tet [7]

Answer: The Answer is B

Step-by-step explanation:

You need to distribute 15x(10x - 4). 15x times 10x is 150x and since there is 2 x's your gonna square it. So then it would be 150x². next 15x times -4 is -60 and add your x. Your answer is 150x² - 60x.

8 0
3 years ago
Read 2 more answers
Does a mode or a mean or a median best represents data
Montano1993 [528]
The mean, since it's the average of whatever your data is.
7 0
3 years ago
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