MATHEMATICS MIDDLE SCHOOL

the length of a rectangle is 5cm greater than the width. the area of the rectangle is 84cm squared. find the length and width

Answers

Answer 1

Answer:

Answer:

Therefore,

$Length=12\ cm$

$Width= 7\ cm$

Step-by-step explanation:

Let the Width of rectangle be 'x' cm.

Then the length of a rectangle will be (x + 5) cm.

Area of rectangle given is 84 cm squared.

To Find:

Length = (x+5) = ?

Width = x = ?

Solution:

We have area of rectangle given as

$\textrm{Area of Rectangle}=Length* Width$

Substituting the given values we get

$84=(x+5)x\nx^(2) +5x-84=0\n$

On factorizing we get

$x^(2) +12x-7x-84=0\nx(x+12)-7(x+12)=0\n(x+12)(x-7)=0\n(x+12)=0\ or\ (x-7)=0\nx=-12\ or\ x=7\n\therefore x =7\ cm\ \textrm{As x cannot be negative}$

Therefore,

$Length=x+5=7+5=12\ cm$

Therefore,

$Length=12\ cm$

$Width= 7\ cm$

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6w+3(4w-2)=_____(_____w-3) Complete the equation so that it has infinitely many solutions.

Please Help I don't know and I tried multiple times though. Thanks.

Answers

probably means can you rotate it and it looks like the same thing

first one has, only 3 places so
360/3=120
only for 120 degree turns

2nd one doesn't

Please explain! I don't know which number to isolate

Answers

Answer:

X=2 Y=-2 for 3x+y=4 X=2 Y=2 for x-3y=-4

Step-by-step explanation:

3x+(-2)=4

3x2+(-2)=4

6+(-2)=4

X-3y=-4

2-3x2=-4

2-6=-4

Hope this helped!

Graph x > 2x>2x, is greater than, 2.

Answers

Answer:

Step-by-step explanation:Graph x > 2x>2x, is greater than, 2.

The fraction 3/10 is the difference of 8/10 and which fraction

Answers

Answer:

½ or 11/10

Step-by-step explanation:

3/10 = 8/10 - X

X = 8/10 - 3/10 = 5/10 = 1/2

Or,

X - 8/10 = 3/10

X = 11/10

Answer:

5/10

Step-by-step explanation:

8/10 -5/10 =3/10

In 2000 there were about 2,172,000 farms in the United States. Twenty -four thousand of the farms were in South Carolina. What percent of the farms were in South Carolina? Round your answer to the nearest whole percent.

Answers

What percent of the farms were in South Carolina? Round your answer to the nearest whole percent.

24,000 divided by 2,172,000 = 1.1 percent, rounded to 1 percent.

We can test our answer by dividing 2,172,000 by 100 to learn that exactly 1 percent equals 21,720, which is pretty close to 24,000

Solve the equation 3(y-9)=7y+2

Answers

Step-by-step explanation:

I'm really really sorry if I'm wrong...

3(y-9)=5y+2

3y - 27 = 5y + 2

+ 27 + 27

3y = 5y + 29

-5y -5y

-2y = 29

-2 -2

y = -14.5

First, distribute.
$3y - 27 = 7y + 2$
Subtract the 3y from both sides.
$- 27 = 4y + 2$
Subtract 2 from both sides.
$- 29 = 4y$
To get the variable by itself, divide by 4.
$- (29)/(4) = y$
Your answer is:
$y = - (29)/(4)$

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