The ratio of boys and girls in a swim club was 2:4 there were 14 girls how many total members were there in the club

What is the reciprocal?<br><br> -2 8/9

scoray [572]

Answer:

Step-by-step explanation:

-8/9 is the reciprocal i believe

3 0

3 years ago

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.

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

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

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,

$2x - 3y + z = 0$

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

Svetllana [295]

Answer: 38 degrees equal 68 degrees which is equal 38 percent is 56% is half of 68% so the answer is 24

Step-by-step explanation:

7 0

3 years ago

Nathaniel has $2 worth of dimes and quarters. He has 6 more dimes than quarters. By following the steps below, determine the num

Aleksandr-060686 [28]

Answer:

10 dimes and 4 quarters

Step-by-step explanation:

Number of dimes = d, each d = 10 c
Number of quarters = q, each q = 25 c
Total = $2 = 200 c

<u>Equations according the given:</u>

10d + 25q = 200
d = q + 6

<u>Solve for q by substitution:</u>

10(q + 6) + 25q = 200
10q + 60 + 25q = 200
35q = 140
q = 140/35
q = 4

<u>Find the value of d:</u>

d = 4 + 6 = 10

Nathaniel has 10 dimes and 4 quarters

8 0

3 years ago

-2a4 + 8a– 9a<br> Find the degree of the polynomial

wlad13 [49]

Ajajjwususjdbdndkdlflfpc

8 0

3 years ago