the length of a rectangle is 3 meters less than twice the width if the area is 104 square meters find the length

Answers

Answer 1

Answer: x-width
2x-3-length

A=lxw
104=(2x-3)(x)
104=2x^2-3x
52=x^2-3/2(x)
52+9/16=x^2-3/2(x)+9/16
841/16=(x-3/4)^2
29/4=x-3/4
x=32/4 or 8

length is 2(8)-3 which is 13 and width is 8

Answer 2

Answer:

Answer:

l = 13 m

Step-by-step explanation:

Let's call the width of the rectangle x. Then we can form an expression for the length of the rectangle: 2x - 3

Now we need to form an equation for the area of the rectangle and solve it:

x(2x - 3) = 104

2x² - 3x = 104

2x² - 3x - 104 = 0 - now we need to factorize the equation

(2x + 13)(x - 8) = 0

Now we can say that x = 8 or x = -6.

Because we cannot have a negative length, x = 8 m.

Now we can workout the length using the expression that we formed at the beginning:

2x - 3 = l

2(8) - 3 = l

l = 16 - 3

l = 13 m

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Round 7,639,552 to the nearest ten thousand
What is being done to the variable in the equation y + 8.5 = 17.2?

Solve for x 3/4 = 1+×/×

Answers

$(3)/(4) = (1+x)/(x)$

$3x = 4(1+x)$

Subtract 4 x from both sides:

$3x-4x=4+4x-4$

$-x=4$

Divide both sides by - 1 :

$x = - 4$

hope this helps!

Which equation describes the same line as y – 3 = –1(x + 5)?A. y = –1x – 5
B. y = –1x – 2
C. y = –1x – 1
D. y = –1x + 8

Answers

Answer:

Option B is correct.

$y= -1x-2$

Step-by-step explanation:

The distributive property says that:

$a \cdot (b+c) = a\cdot b+ a\cdot c$

Given the equation of line:

$y-3 = -1(x+5)$

Apply the distributive property we have;

$y-3 = -1x-5$

Add 3 to both sides we have;

$y-3+3= -1x-5+3$

Simplify:

$y= -1x-2$

Therefore, an equation describes the same line as y – 3 = –1(x + 5) is, $y= -1x-2$

y – 3 = –1(x + 5)

y - 3 = -x - 5

y = -x - 5 + 3

y = -x - 2

answer is B. y = –1x – 2

A solid pyramid of height 40 cm with a square base of sides 30 cm each is put into a tank of sides 40 cm each. the tank is then filled with water. if the pyramid is removed, find the depth of water in the tank.

Answers

So you have to find the volume of the tank, and the volume of the pyramid. Then subtract the volume of the pyramid from that out of the tank. The formula for pyramid is v = lwh/3. For the tank (which is a cube in this case) It's any given side cubed.

40*30*30 = 3600/3=1200cm cubed
40^3 = 6400cm cubed

6400-1200=5200cm^3 of water

(If you don't get this answer then I may have made a calculation error as I did this quickly in my head, just check my answer and yours to see)

A car is traveling at a rate of 93 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 15 minutes? Do not round yanswers.

Answers

The car's rate in miles per minute is 1.55 miles.

The car will travel 23.25 miles in 15 minutes.

What is Speed- Distance Formula?

Speed = Distance/Time
Distance = Speed X Time
Time = Distance / Speed

Given:

A car is traveling at a rate of 93 miles per hour.

In 60 minutes the car travel = 93 miles

So, In oneminutes the car travels = 93 /60

= 1.55 miles

and, In 15 minutes the car travel = 1.55 x 15

= 23.25miles

Learn more about Speed- Distance Formula here:

brainly.com/question/13704700

#SPJ2

Answer: The car is going 1.55 miles per minute.

Step-by-step explanation: Since there are 60 minutes in an hour, and the car is going 93 mph, you would simply divide 93 by 60.

By how many grams is 1.3kg heavier than 700g

Answers

in grams, 1.3kg is 1300 g so 1300 - 700 = 600g

1300-700=600 therefore is is really 600 grams more.

the answer is 600 grams.
i hope that this helps you.

A 6 sided die numbered 1 to 6 is rolled . Find the probability that in the roll of the results is an odd number or less than 4

Answers

Answer:

4/6 or 66%

Step-by-step explanation:

Odd numbers from 1 to 6 are: 1, 3, 5

Numbers less than 4 are: 1, 2, 3

So there are 4/ 6 possible outcomes.

So the probability is 4/6 or 66%.

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