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MArishka [77]
3 years ago
9

Evaluate x/y + 3z^2 for x= 2/3, y= 6/7, and z=3

Mathematics
2 answers:
Tanya [424]3 years ago
7 0
<span>remember that (a/b)/(c/d)=(a/b)(d/c)=(ad)/(bc)

(2/3)/(6/7)+3(3)^2=
(2/3)(7/6)+3(9)=
(2*7)/(3*6)+27=
(14/18)+27=
(7/9)+27=
7/9+243/9=
250/9

answer is A

</span>
prohojiy [21]3 years ago
6 0

x/y + 3z^2 for x= 2/3, y= 6/7, and z=3

=2/3  /  6/7  + 3(3^2)

=2/3 * 7/6 + 3(9)

= 7/9 + 27

= 7/9 + 243/9

= 250/9

answer is a. 250/9

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AB and BC are on the same straight line, so their slopes are the same.

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A clogged bathtub drains at a constant rate. The amount of water in the bathtub changes by –3.75 gallons in one hour. What is th
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Change in the amount of water in the bathtub after -48.75 gallons. Negative sign means water get reduce by 48.75 gallons in bathtub.

<h3><u>Solution:</u></h3>

Given that

A clogged bathtub drains at a constant rate.

The amount of water in the bathtub changes by –3.75 gallons in one hour.

Need to determine change in the amount of water in the bathtub after 13 hour.

Change in amount of water in bathtub in one hour = -3.75 gallons  

As given that clogged bathtub drains at a constant rate, so  

Change in amount of water in bathtub in 13 hours = 13 x Change in amount of water in bathtub in 1 hours

=> Change in amount of water in bathtub in 13 hours = 13 x ( -3.75 ) = -48.75 gallons

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3 years ago
Chase and Emily are buying stools for their patio. They are deciding between 333 heights (table height, bar height, and XL heigh
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Answer:

The sample space is:

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  • (X, W): XL height and white
  • (W, K): XL height and black

Explanation:

The <em>sample space </em>is the set of all the possible outputs, i.e. the possible different combinations that can be choosen.

Use the letters T, B, and X to represent, respectively, table height, bar height, and XL height,

Use letters N, W, and K to represent, respectively, the colors brown, white and black.

Each combination consists of a height (T, B or X) and a color (N, W, K); thus, your sample space shall have 3 × 3 different combinations. These are:

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  • (T, W): table height and white
  • (T, K) : table height and black

  • (B, N): bar height and brown
  • (B, W): bar height and white
  • (B, K): bar height and black

  • (X, N): XL height and brown
  • (X, W): XL height and white
  • (W, K): XL height and black
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