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4 years ago

Jesse has 5 meters of twine and needs to cut it into 1/4 meter long how many twines will he have

Mathematics

1 answer:

Keith_Richards [23]4 years ago

3 0

5 divided by 1/4 is 20, so he will have 20 pieces of 1/4 meter twine

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Please help with this problem 32n^4 _____= 4n^2

sertanlavr [38]

Answer:

4*n^2 and n cannot equal 0

Step-by-step explanation:

First, since you have a variable int he denominator you need to write on the side that n cannot = 0, you may write it as n=/= 0, so a slash through an equal sign. You need to include this with your answer.

I'm assuming this is a fraction.The concept is actually pretty simple. What happens if you have 2/4? You can simplify it into 1/2. The concept is basically saying 2/(2*2) and here 2/2 = 1 so the 2 ont he top cancels out with one of the 2s on the bottom. This canceling only works for multiplication and division.

You can also do this with variables. x^3/x^7 can be rewritten as (x*x*x)/(x*x*x*x*x*x*x). here the three on top cancel out three ont he bottom leaving 1/(x*x*x*x) = 1/x^4. This also works if there are more on top. x^8/x^2 = x^6.

We do both in your problem. Let's work with one at a time. First the numbers. 32/4 = 8 Now the variables n^4/n^2 = n^2 because two of the ns int he numerator canceled the two in the denominator. Now put them together to have your answer. 4n^2 and you have to add that n=/=0

4 0

3 years ago

The width of a rectangle is 6 kilometers less than twice its length. if its area is 108 square kilometers, find the dimensions

Art [367]

Hi there!

Answer:
length = 9 kilometres
Width = 12 kilometres

Let's solve this problem step by step!
To find our answer we need to set up and solve an equation.

Let the length of the rectangle be represented by x.
The width of the rectangle can therefore be expressed by 2x - 6.

The area of a rectangle can be found by using the formula:
A = width × length

Plug in the data from the formula
A = x (2x - 6).

Simplify using rainbow technique.
$x(2x - 6) = 2 {x}^{2} - 6x$

Now we've found the simplified expression that expresses the area of the rectangle. Therefore, we can now set up and start solve the equation.

$2 {x}^{2} - 6x = 108$
Subtract 108

$2 {x}^{2} - 6x - 108 = 0$
Divide by 2.

${x}^{2} - 3x - 54$
$(x - 9)(x + 6) = 0$
Rule AB = 0, gives A is 0 or B is 0.

$x - 9 = 0 \\ x = 9 \\ \\ x + 6 = 0 \\ x = - 6$

The length of the rectangle, which was represented by x, must be 9 (since it cannot be a negative number).

Length
$x = 9$
Width
$2x - 6 = 2 \times 9- 6 = 18 - 6 = 12$

Answer:
length = 9 kilometres
Width = 12 kilometres

~ Hope this helps you!

6 0

3 years ago

-2.5(4x – 12d) how do you do this

steposvetlana [31]

Answer is -10x+30 d

3 0

4 years ago

HELPPPPPPPpppppppppp

almond37 [142]

Answer:

AB = 130°

Step-by-step explanation:

The inscribed angle 65° is half the measure of its intercepted arc, then

arc AB = 2 × 65° = 130°

8 0

3 years ago

Read 2 more answers

Solve for x. 5x^2 – 45 = 0

mamaluj [8]

5x^2-45=0

*Add 45 to both sides*

5x^2=45

*Divide both sides by 5*

x^2=9

*Take the square root of both sides*

x=+/-9

Hope this helps!!

3 0

4 years ago

Read 2 more answers