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3 years ago

Convert 13% to a SIMPLIFIED fraction

Mathematics

1 answer:

Natalka [10]3 years ago

7 0

Answer:

13/100

Step-by-step explanation:

13 / 100

0.13 = 13/100

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2/3n + 5 greater than 12

Tanzania [10]

2/3n + 5 > 12
2/3n > 12 - 5
2/3n > 7
n > 7 * 3/2
n > 21/2 or 10 1/2

6 0

3 years ago

Read 2 more answers

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

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

Solving the system of equations:

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

Please it’s an emergency

taurus [48]

Answer: C

Step-by-step explanation:

Okay first set a comparison since the two triangles are similar

x-1/20=x-1+27/3x+8

x-1/20 = x+26/3x+8

cross multiply

20x+520=3x^2+8x-3x-8

3x^2-15x-528=0

3(x^2-5x-176)=0

im kinda lazy to factor this out so i used an online calculator right here but factor it out like a good kid

x=16, x=-11

it has to be positive so x=16

6 0

3 years ago

Show that the equation 2x + 3 cos x + e ^ x = 0 has a root on the interval [- 1, 0]

ExtremeBDS [4]

If x = -1, you have

2(-1) + 3 cos(-1) + e ⁻¹ ≈ -0.0112136 < 0

and if x = 0, you have

2(0) + 3 cos(0) + e ⁰ = 4 > 0

The function f(x) = 2x + 3 cos(x) + eˣ is continuous over the real numbers, so the intermediate value theorem applies, and it says that there is some -1 < c < 0 such that f(c) = 0.

5 0

3 years ago

Depreciation is the decrease in value of an item. Three years ago, Aaron bought a computer for $930. The computer is now worth $

Umnica [9.8K]

Answer:

$120

Step-by-step explanation:

930-570=360 (Price difference in 3 years)

360 divided by 3= 120 (Price difference for each of the 3 years)

7 0

3 years ago