15 is 10 % of what number

Alex is selling tickets to a school play. An adult ticket costs $6.50 and a student ticket costs $4.00. Alex sells x adult ticke

Tamiku [17]

F(X)=(4)12+x6.50
f(x)=48x+6.50

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

The fastest train on earth is Maglev, a Japanese train which runs at a

CaHeK987 [17]

Answer:

167.2 m/sec

Step-by-step explanation:

Convert 602 km/hr to m/sec, as follows:

602 km 1000 m

------------ * ----------------- = 602,000 m/hr

hr 1 km

Recall that 1 hr = 3600 sec. Convert 602,000 m/hr to m/sec:

602,000 m 1 hr

------------------ * ---------------- = 167.2 m/sec

1 hr 3600 sec

5 0

2 years ago

A building 84 ft high casts a 231-ft shadow. Sarah casts an 11-ft shadow. The triangle formed by the building and its shadow is

julia-pushkina [17]

Answer:

Sarah is 4 ft tall.

Step-by-step explanation:

231÷84= 2.75

11 ft ÷ 2.75 = <u>4 ft</u>

3 0

3 years ago

The value of y is directly proportional to the value of x If y=81 when x=54, what is the value of y when x=38

Arisa [49]

Answer:

y = 57

Step-by-step explanation:

y α x

y = kx ; k = Constant of proportionality

81 = k* 54

k = 81/54

k = 1.5

Value of y when x = 38

y = kx

y = 1.5 * 38

y = 57

Hence, y = 57 when x = 38

5 0

2 years ago