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Vladimir [108]
2 years ago
7

A piece of string that is 132 inches long is cut into 3 pieces. The second piece of string is twice as long as the first piece.

The third piece of string is three times as long as the first piece. Find the length of the longest piece of string.
PLEASE SHOW AN EQUATION THAT YOU USED TO SOLVE THIS PROBLEM!

THANK YOU
Mathematics
1 answer:
gladu [14]2 years ago
4 0
Your equation is like so A x 2 x 3 = 132
A is the length of your first string B is the length of your 2nd string (A x 2) and C (3) is the length of your 3rd string which is (A x 3).
A x 2 x 3 = 132
           /3     /3
A x 2 = 44
    /2     /2
A = 22.
A(22) x 2 x 3 = 132.  22 x 2 is 44.  44 is the length of line 2.  22 x 3 is 66, 66 is the length of line 3.  22 + 44 + 66 = 132.  66 is the length of your longest piece.
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A teacher chose a set of 16 numbers. She then asked her students to classify each number as a multiple of 3, a
timofeeve [1]

Answer:

multiple of 4    not a multiple of 4       multiple of 3        not a multiple of 3

8,12,16                1,2,3,5,6                             3,6,9,12               1,2,4,5

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2 years ago
Read 2 more answers
Two con terminal angles 3pi/4 negative and positive answer in radians
son4ous [18]

Answer:

Negative Coterminal: -5π/4

Positive Coterminal: 11π/4

Step-by-step explanation:

The easiest way to find <em>specific </em>(not infinite) coterminal values is to ±2π. When you subtract 2π, you will get a negative coterminal. When you add 2π, you will get a positive coterminal. Keep in mind though that a tan∅ or cot∅ only needs ±π, not ±2π.

8 0
2 years ago
The combined average weight of an okapi and a llama is 450450450 kilograms. The average weight of 333 llamas is 190190190 kilogr
Kisachek [45]
I'm going to assume that you meant 450kg for the combined weight, 190kg more and 3 Llamas. I'm pretty sure Llamas and Okapis don't weigh 450450450kg (that's 993,073,252 pounds). :)

x= Okapi weight
y= Llama weight

EQUATIONS:
There are 2 equations to be written:

1) 450kg is equal to the weight of one Okapi and one Llama

450kg= x + y

2) The weight of 3 llamas is equal to the weight of one Okapi plus 190kg.

3y=190kg + x


STEP 1:
Solve for one variable in one equation and substitute the answer in the other equation.

450kg= x + y
Subtract y from both sides
450-y =x


STEP 2:
Substitute (450-y) in second equation in place of x to solve for y.

3y=190kg + x
3y=190 + (450-y)
3y=640 -y
add y to both sides

4y=640
divide both sides by 4

y=160kg Llama weight


STEP 3:
Substitute 160kg in either equation to solve for x.

3y=190kg + x
3(160)=190 + x
480=190 + x
Subtract both sides by 190

290= x
x= 290kg Okapi weight


CHECK:
3y=190kg + x
3(160)=190 + 290
480=480

Hope this helps! :)
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Answer:

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Step-by-step explanation:

32/48= 16*2/16*3= 2/3

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