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3 years ago

What expression represents 16 more than 5 times a number

Mathematics

2 answers:

DENIUS [597]3 years ago

8 0

I think it would be 80

denis23 [38]3 years ago

5 0

Answer:80

Step-by-step explanation:

I fixed it!

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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.

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

3 years ago

What is distributive property and one example of it?

mestny [16]

Example of distributive property: 4(2+3)
The first step is to multiply the 4 and the 2
It will now look like 8+4(3)
Now you must multiply the 4 and the 3
Then it will look like 8+12
In which 8+12=20

6 0

4 years ago

Find the distance between the points (4,3) and (-1,4) round answer to the nearest tenth

scZoUnD [109]

Answer:

The distance between those points rounded to the nearest tenth is 5.1

Step-by-step explanation:

1. (x2-x1) = (-1 - 4) = -5

2. (y2-y1) = (4 - 3) = 1

3. (-5^)2 + (1)^2 = 25 + 1 = 26

4. √26 = √26

5. 5.099 ---> Rounded to the nearest tenth = 5.1

5 0

3 years ago

Im really confused can someone help me

Sati [7]

I believe you would create and equation to find x and y.

7 0

3 years ago

What is the area of a triangle whose vertices are D(3, 3) , E(3, −1) , and F(−2, −5) ?

Jlenok [28]

The points given are: $D=(3,3),E=(3,-1),F=(-2-5)$

Area of the triangle is given by:

$A = \frac{1}{2}| ( x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2) )|$

$A = \frac{1}{2} |(3(-1+5) + 3(-5-3) -2(3+1))|$

$A = \frac{1}{2}|(3(4) + 3(-8) -2(4))|$

$A = \frac{1}{2} |( 12 -24 -8))|$

$A = \frac{1}{2} |( -20)|$

$A = |-10|$

$A = 10 \ units^2$

6 0

4 years ago