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2 years ago

Which of the following is a perfect cube? A. 243 B. 143 C. 443 D. 343

Mathematics

2 answers:

seropon [69]2 years ago

3 0

Answer:

D. 343

Step-by-step explanation:

The cube root of 343 is seven.

Lyrx [107]2 years ago

3 0

Answer:

$D. \: 343$

Step-by-step explanation:

Hope this helps!

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If the selling price of a home is $505,000 with a 15% down payment, what is the amount of the down payment?$75,000$75,500$75,750

AlladinOne [14]

Answer

the down payment is $75,750

Explanation

The selling price of a house = $505, 000

The person made a 15% down payment

Down payment = 15% x $505, 000

Down payment = 0.15 x $505, 000

Down payment = $75, 750

Therefore, the down payment is $75,750

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10 months ago

3) What is the greatest common factor of 5x7, 30x4, and 10x3?

saveliy_v [14]

30 is the greatest common factor I think

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2 years ago

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Length times width is the formula for what quadrilateral?

Zarrin [17]

Answer:

area of rectangle and square

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2 years ago

Find the perimeter of a triangle 20cm and 29cm

bagirrra123 [75]

Answer:

Unclear.

To find the perimeter you need all three sides of the triangle. You have only given two.

All you need to do is add up all three sides and you have your perimeter.

Formula: <u>P=a+b+c</u>

5 0

1 year ago

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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

1 year ago