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3 years ago

X+4y=6 3x+3y=9 Answer is 6.3 but how

Mathematics

1 answer:

maksim [4K]3 years ago

8 0

Answer:

X = 2

Y = 1

Step-by-step explanation:

x + 4y = 6

3x + 3y = 9

3x + 12y = 18

3x + 3y = 9

9y = 9

x + 4y = 6

y = 1

x + 4 * 1 = 6

y = 1

x + 4 = 6

y = 1

x = 2

so there ia only 1 solution for this equation is (2;1)

Done :))

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Cynthia besch wants to buy a rug for a room that is 23ft wide and 26ft long. She wants t ok leave a uniform strip of floor aroun

Lostsunrise [7]

Answer:

Dimension of rug is $(15\times 18)\ ft$

Step-by-step explanation:

Given: Area of rug= 270 ft²

Cynthia besch wants to buy a rug for a room that is 23ft wide and 26ft long.

Let´s assume the uniform strip size of floor around rug be "x".

As given, Cynthia wants to leave a uniform strip of floor around the rug.

∴ Rug dimension will be $(23-2x)\times (26-2x)$

We know, area of rectangle= $width\times length$

Forming an equation for area of rug.

⇒ $270= (23-2x)\times (26-2x)$

Now solving the equation to find the dimension of rug.

$270= (23-2x)\times (26-2x)$

Using distributive property of multiplication.

⇒ $270= 598-46x-52x+4x^{2}$

⇒ $598-98x+4x^{2}= 270$

Subtracting both side by 270

⇒ $4x^{2}-98x+328= 0$

using quadratic formula to solve the equation.

⇒ Formula: $\frac{-b\pm \sqrt{b^{2}-4(ac) } }{2a}$

∴ In the expression , we have a= 4, b= -98 and c= 328.

Now, subtituting the value in the formula.

= $\frac{-(-98)\pm \sqrt{-98^{2}-4(4\times 328) } }{2\times 4}$

= $\frac{98\pm \sqrt{9604-4(1312) } }{8}$

Opening parenthesis.

= $\frac{98\pm \sqrt{9604-5248 } }{8}$

= \frac{98\pm \sqrt{4356}}{8}

We know 66²=4356 and √a²=a or -a

= $\frac{98\pm 66}{8}$

= $\frac{98+66}{8}\ or \ \frac{98-66}{8}$

= $20.5 \ or\ 4$

∴ Value of x will be either 20.5 ft or 4 ft

Ignoring decimal value, therefore taking value of x is 4 ft

Subtituting the value of x to find the dimension of rug.

Width of rug= $(23-2x)$

⇒ Width of rug= $23- 2\times 4$

⇒ Width of rug= $23-8= 15\ ft$

Next, Length of rug= $(26-2x)$

⇒ Length of rug= $(26-2\times 4)$

⇒ Length of rug= $26-8= 18\ ft$

Hence, dimension of rug is $(15\times 18)\ ft$

6 0

3 years ago

Help pls with this page

Alekssandra [29.7K]

Answer:49,725,000

Step-by-step explanation:

in an average week, the compter is down for 2.75 hours. lost revence per hour is 425,000$

what is the total revenues lost in a 52 week year.

425,000 /2

212500 = 30 mins

106,250 = 15

956.250 = 2 hours and 45 mins

now just time that with 52

49,725,000

give me brainly please

3 0

4 years ago

Simplify (4x-1)+(-6x+3)

disa [49]

Answer:

2x-4

Step-by-step explanation:

Combine like terms to get your awnser

6 0

3 years ago

Read 2 more answers

Select all equations that are equivalent to x² + 6x = 16.

ohaa [14]

Answer:

C and F

Step-by-step explanation:

2×2+6×2=16

×=2

C ) 2×2+6×2+9=25 ×=2

F) (2+3)2=25 ×=2

6 0

2 years ago

Help please. I’m stuck on this one

Nastasia [14]

Answer:

b = 25m

Step-by-step explanation:

Hi there!

We're given angle B and the length of a in this right triangle. We must solve for the length of b. a and b are the two legs of the right triangle.

In this case, we can use the tangent ratio:

$tan\theta=\displaystyle\frac{opposite}{adjacent}$

Plug in the given information:

$tan\displaystyle\frac{\pi}{4} =\displaystyle\frac{b}{25}\\\\25tan\displaystyle\frac{\pi}{4} =b\\\\b=25$

Therefore, b = 25m.

We can also use this using special triangle rules. $\displaystyle\frac{\pi}{4}$ radians is equal to 45 degrees, making this a 45-90-45 triangle. This would make a and b equal in length.

I hope this helps!

5 0

3 years ago