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2 years ago

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What is 3% in decimal form

2 answers:

AfilCa [17]2 years ago

8 0

To convert a decimal into a percentage, first we have to convert it into fractional form.

Because percentages are out of 100, the resulting fraction would be 3/100.

Next, to find the decimal, we would just divide the fraction (numerator divided by denominator).

3 % = 3/100 = 0.03

a_sh-v [17]2 years ago

6 0

Answer is provided in the image attached.

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What is the area of this figure?

Paraphin [41]

Area of square
= 7x7
=49
Area of triangle
=0.5x 7x12
=42
Total area of figure
=49+42
=91

Hence, answer is D

6 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.

<h3>Case-1:</h3>

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

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

<h3>Case-2:</h3>

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,

$2x - 3y + z = 0$

<h3>Case-3:</h3>

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

students set up 6 rows of seats for a music concert. they put 6 seats in each row. what is the total number of seats? solve this

Mariulka [41]

Answer:

36

Step-by-step explanation:

becuase each row has 6 in them and there are 6 rows so 36 is the final answer

8 0

2 years ago

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Solve for a. 1/5(25−5a)=4−a

aalyn [17]

1/5(25-5a)=4-a
⇔5-a=4-a
<span>NO SOLUTION</span>

3 0

2 years ago

Two buses leave a corner at the same time. One bus goes uptown at a constant rate of 25 mph, the other downtown at a rate of 15

vlada-n [284]

The rate of separation = 25 + 15 = 40 mph

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Its C.

5 0

2 years ago

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