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wolverine [178]

3 years ago

8

After a certain number of moves in a chess game, the ratio of black pieces to white pieces is 4 to 3. If there are 12 black piec

es on the board, which proportion can be used to find the number of white pieces?

2 answers:

harina [27]3 years ago

5 0

What times 4 equals 12? 3! So if 3x4=12 then do 3x3 to find the white pieces;)

7nadin3 [17]3 years ago

4 0

Black to white
4 : 3
12 : ?
should be 9

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The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X a

liubo4ka [24]

Answer:

$(x,y,z)=(1477, 1464, 1437)$

Step-by-step explanation:

Consider the selling of the units positive earning and the purchasing of the units negative earning.

<h3>Case-1:</h3>

Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y
Mr.A earns Rs6000

So, the equation would be

$3x + 5y - 4z = 6000$

<h3>Case-2:</h3>

Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z
Mr B neither lose nor gain meaning he has made 0₹

hence,

$2x - 3y + z = 0$

<h3>Case-3:</h3>

Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z
Mr.C earns 13000₹

therefore,

$- x + 4y + 6z = 13000$

Thus our system of equations is

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

<u>Solving </u><u>the </u><u>system </u><u>of </u><u>equations</u><u>:</u>

we will consider elimination method to solve the system of equations. To do so ,separate the equation in two parts which yields:

$\begin{cases}3x + 5y - 4z = 6000\\2x - 3y + z = 0\end{cases}\\\begin{cases}2x - 3y + z = 0\\ - x + 4y + 6z = 13000\end{cases}$

Now solve the equation accordingly:

$\implies\begin{cases}11x-7y=6000\\-13x+22y=13000\end{cases}$

Solving the equation for x and y yields:

$\implies\begin{cases}x= \dfrac{223000}{151}\\\\y= \dfrac{221000}{151}\end{cases}$

plug in the value of x and y into 2x - 3y + z = 0 and simplify to get z. hence,

$\implies z= \dfrac{217000}{151}$

Therefore,the prices of commodities X,Y,Z are respectively approximately 1477, 1464, 1437

6 0

2 years ago

What number decreased by 8.1 equals 4.9

earnstyle [38]

In order to get your answer add 8.1 + 4.9 = 13. Then to double check subtract 13 by 8.1 which equals 4.9. Hope this helps!

7 0

3 years ago

Read 2 more answers

Five hamburgers and one order of fries together cost $10.24, whereas one hamburger and five orders of fries together cost $5.84.

lubasha [3.4K]

Hamburgers = h
fries = f
5h + f = $10.24
h + 5f = $5.84
6h + 6f = $ 16.08
3h + 3f = $8.04

The correct answer is C.

8 0

3 years ago

I need some help I’ve been on this question for over 10 minutes

krek1111 [17]

Answer:

The answer is 6 wholes and 7/8ths.

7 0

3 years ago

The letter w represents a whole number such that 2021 + w is a multiple of 7. What is the smallest possible value of w?

7nadin3 [17]

Answer:

2

Step-by-step explanation:

2021/7 leaves a remainder of 5 so add 2 and that's the answer

7 0

3 years ago