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trapecia [35]
3 years ago
12

A stick 111 inches long is broken into two pieces, so that one piece is twice as long as the other. How long are the two pieces?

Mathematics
2 answers:
oksian1 [2.3K]3 years ago
8 0

<u>Answer</u>:

The length of the short part is 37 inches, and the length of the other part is 74 inches.

<u>Step-by-step explanation:</u>

Given:

Total length of the stick =  111 inches.

One piece is twice as long as the other.

To Find:

Length of the two pieces=?

Solution:

Let the length of one piece be n,

Then the other piece will be 2n.

Now, total length of stick = n + 2n

=>111 inches = 2n + n

=>111 = 3n

=>n =\frac{111}{3}

So, length of short path is 37 inches,

Then length of other part is

=> 2(n)

=>2(37)

=> 74 inches.

Hence, the length of the short part is 37 inches, and the length of the other part is 74 inches.

Makovka662 [10]3 years ago
3 0
Let’s say that the other one is described as X. So if one piece is twice as long as the other one, it’ll be 2x.

2x + X =111
3x = 111
3x divided by 3= 111 divided by 3
X= 37

So 2x = 2(37) = 74
X = 37

74
+ 37
————
111
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Question 13
charle [14.2K]

The amount to be invested today so as to have $12,500 in 12 years is  $6,480.37.

The amount that would be in my account in 13 years is $44,707.37.

The amount I need to deposit now is $546.64.

<h3>How much should be invested today?</h3>

The amount to be invested today = future value / (1 + r)^nm

Where:

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  • m = number of compounding = 365
  • n = number of years  = 12

12500 / (1.00015)^(12 x 365) = $6,480.37

<h3>What is the future value of the account at the end of 13 years?</h3>

Future value = monthly deposits x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

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<h3>What should be the monthly deposit?</h3>

Monthly deposit = future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

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$14,000 / [{(1.0056^24) - 1} / 0.0056] = $546.64

To learn more about annuities, please check: brainly.com/question/24108530

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4 0
2 years ago
GEW has angle measures given by m/_G=5x + 66, m?/_ E = 3x, and m/_ W= 142 -4x whats the mesure of e
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Answer:

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Step-by-step explanation:

GEW has angle measures given by m/_G=5x + 66, m?/_ E = 3x, and m/_ W= 142 -4x whats the mesure of e

= 5x + 66 + 3x + 142 - 4x = 180

4x + 208 = 180

4x = 208 - 180

4x = 28

x = 28/4

x = 7

Solving for E = 3x

E = 3 × 7

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Let f(x) = 5x – 8 and g(x) = 9 - 6x2.<br> -<br> (f o g)(-3) =
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Step-by-step explanation:

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