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3 years ago

If CG= 10x + 9 and GE = 18x - 7, and CE x= CE=

Mathematics

1 answer:

Inga [223]3 years ago

6 0

Answer:

x=2

CE=58

Step-by-step explanation:

10x+9=18x-7

16=8x

x=2

10(2)+9+18(2)-7=

20+9+36-7=58

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Which angles are adjacent to each other?

alexdok [17]

Answer:

(c). Angle 12 and 9

Step-by-step explanation:

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3 years ago

Elena needs to ship a 61 cm concert flute to a customer. She has two rectangular boxes. One is 25 cm by 25 cm by 50 cm. The othe

spin [16.1K]

A) V= lwh ,so, V= 25cm*25cm*50cm= 31250 cm^3 shape

b) V=lwh,so, V=10cm*12cm*58cm= 6960 cm^3 shape
c) It is a) because the volume is much bigger.

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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

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2 years ago

You went to Walmart and spend $75. Of the total bill, $45.50 included non-taxable items. How much is the final bill if you apply

Alina [70]

We have been given that you went to Walmart and spend $75. Of the total bill, $45.50 included non-taxable items.

Let us find the amount of taxable items by subtracting amount of non-taxable items from total bill.

$\text{Amount of taxable items}=\$75-\$45.50$

$\text{Amount of taxable items}=\$29.50$

We have been given that the rate of tax is 7.5% to the taxable items. To find the amount of tax, we will find 7.5% of $29.50.

$\text{Amount of tax}=\$25.50\times \frac{7.5}{100}$

$\text{Amount of tax}=\$25.50\times 0.075$

$\text{Amount of tax}=\$2.2125$

Final amount of bill would be amount of bill plus amount of tax.

$\text{Final amount of bill}=\$75+\$2.2125$

$\text{Final amount of bill}=\$77.2125$

Therefore, final amount of bill would be $\$77.2125$ .

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3 years ago

A parent died and left an estate to four children. One inherited 1/2 of the estate, the second inherited 1/8, And the third inhe

cluponka [151]

The fourth child inherits 2/8

7 0

3 years ago