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3 years ago

Financial Mathematics Discussion Board Prompt:

Mathematics

1 answer:

yarga [219]3 years ago

7 0

Answer:

Younger oiiiiiiiiiiii

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A wire 15 cm long is cut into two pieces. The longer piece is 3.cmidonger than the shorter piece.Find the length of the shorter

Andre45 [30]

A piece of wire is cut into two pieces. That means each part would be assigned an unknown variable. Let one part be x and the other part be y.

That means,

$x+y=15\operatorname{cm}$

If the longer part is x, and the longer part is 3cm longer than the shorter part, then we would have the following;

$\begin{gathered} x+y=15 \\ x=y+3 \\ \text{This is because x is 3cm longer,} \\ So\text{ the length of x would be y+3} \end{gathered}$

We can now refine the equation as follow;

$\begin{gathered} \text{Where;} \\ x=y+3 \\ x+y=15 \\ y+3+y=15 \\ 2y+3=15 \\ \text{Subtract 3 from both sides;} \\ 2y+3-3=15-3 \\ 2y=12 \\ \text{Divide both sides by 2;} \\ \frac{2y}{2}=\frac{12}{2} \\ y=6 \\ \text{When;} \\ x+y=15 \\ x+6=15 \\ \text{Subtract 6 from both sides;} \\ x+6-6=15-6 \\ x=9 \end{gathered}$

ANSWER:

The length of the shorter piece of wire is 6cm

7 0

1 year ago

What is the linear function? Find the output when the input is n. please help.

melomori [17]

Answer:

y = -x + 6

Example:

-1 +6=5

7 0

3 years ago

24 is 4/5% of what number

docker41 [41]

Answer:

The number is 3000

Step-by-step explanation:

Is means equals

24 = 4/5 % *n

Lets change the percent to a decimal. To change percent, we move the decimal to places to the left.

4/5= .8

4/5 % = .8% = .008

24 = .008 *n

Divide each side by .008

24/.008 = .008n/.008

3000 = n

7 0

3 years ago

A box has a volume of 308 cm cubed. Its height is 4 cm greater than its length. Its length is 3 cm greater than its width. What

kifflom [539]

Answer:

4 cm.

Step-by-step explanation:

Given:

A box has a volume of 308 cm cubed.

Its height is 4 cm greater than its length.

Its length is 3 cm greater than its width.

Question asked:

What is the width of the box?

Solution:

Let width = $x\ cm$

Length = $x+3\ cm$

Height = $x+3+4=x+7\ cm$

As we know:

$Volume\ of\ box=length\times width\times height$

$308=(x+3)\times x\times(x+7)\\ \\ 308=(x^{2} +3x)(x+7)\\ \\ 308=x^{2} (x+7)+ 3x(x+7)\\ \\ 308=x^{3} +7x^{2} +3x^{2} +21x\\ \\ 308=x^{3} +10x^{2} +21x\\ \\ Subtract\ 308\ from\ both\ sides\\ \\ x^{3} +10x^{2} +21x-308=0\\ \\ factor\ left\ side\ of\ equation\\ \\ (x-4)(x^{2} +14x+77)=0\\ \\ Set\ factors\ equal\ to\ 0.\\ \\ x-4=0 \ or\ x^{2} +14x+77=0\\ \\ \\$