All categories

2 years ago

A 6.5 meter long rope is cut into two pieces one piece is twice as long as other find the land of the long piece

Mathematics

2 answers:

mylen [45]2 years ago

7 0

Answer:

4 1/3 meters

Step-by-step explanation:

"A 6.5 meter long rope is cut into two pieces one piece is twice as long as other find the length of the long piece."

Let X and Y stand for the short and long segments of rope. We know that:

X + Y = 6.5 meters

We also learn that:

X = 2 Y [We'll say X is the long piece]

We can also write this as: Y = X/2

Use this equation in the first:

X + X/2 = 6.5 meters

(3/2)X = 6.5 meters

X = (2/3)(6.5 meters)

Y = (13/3) meters

Y = 4 1/3 meters

X is then 2 1/6 meters

Alex Ar [27]2 years ago

4 0

Answer:

4.333 meters

Step-by-step explanation:

Given:

We are told that the rope is cut into two pieces and that one (longer) piece is twice the length of the other (short) piece

let the length of the short piece = x meters

hence the length of the longer piece = 2x meters

we are also given that the total length of the two pieces is 6.5m

hence,

length of short piece + length of long piece = 6.5 m

in equation form:

x + 2x = 6.5

3x = 6.5 (divide both sides by 3)

x = 6.5/3 meters

we are asked to find the length of the long piece (i.e 2x)

hence

2x = 2 (6.5/3) = 4.333 meters (answer)

You might be interested in

a square dance set requires 4 couples 8 dancers with each couple standing on one side of a square. There are 250 people at a squ

sveta [45]

Given:

1 set requires 4 couples 8 dancers.

Total number of people at a square dance = 250.

To find:

The greatest number of sets possible at the dance.

Solution:

We have,

Total people = 250

1 set = 8 people.

$\text{Number of possible sets}=\dfrac{\text{Total people}}{\text{People required for 1 set}}$

$\text{Number of possible sets}=\dfrac{250}{8}$

$\text{Number of possible sets}=31.25$

Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.

$\text{Number of possible sets}\approx 31$

Therefore, the number of possible sets at the dance is 31.

7 0

2 years ago

A recipe for lemonade calls for 1 cup of sugar and 6 cups of water. How much sugar is used per cup of water?

grandymaker [24]

The answer is 1/6, or .16666...

3 0

3 years ago

SO CONFUSED PLEASE SOMEONE EXPLAIN! DUE SOON AND NEED HELP!!!!!!!! QUESTION IN PICTURE BELOW

jeka57 [31]

Answer:

=> Apply law of cosine

$c^2=a^2+b^2-2abcos\left(C\right)$

=> input value

$z^2=6.5^2 + 9.4^2-\left(6.5\right)\left(9.4\right)\left(cos\left(131\right)\right)$

=> simplify

$z=\sqrt{\left(6.5^2+\:9.4^2\right)-\left(6.5\right)\left(9.4\right)\left(-0.65605902899\right)}$

=> calulcation

$z=\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61},\:z=-\sqrt{-61.1\cos \left(131^{\circ \:}\right)+130.61}$

=> apply rule: Distance must be greater than 0

which is about 14.51828

4 0

2 years ago

-6.2 - 12.6x = 5.8 - 7.8x

Sav [38]

Answer:

x = -2.5

Step-by-step explanation:

Step 1: Write equation

-6.2 - 12.6x = 5.8 - 7.8x

Step 2: Solve for x

Add 12.6x on both sides: -6.2 = 5.8 + 4.8x

Subtract 5.8 on both sides: -12 = 4.8x

Divide both sides by 4.8: x = -2.5

Step 3: Check

Plug in x to verify if it's a solution.

-6.2 - 12.6(-2.5) = 5.8 - 7.8(-2.5)

-6.2 + 31.5 = 5.8 + 19.5

25.3 = 25.3

7 0

3 years ago

How would I do this at the bottom it says solution

Jlenok [28]

Answer:

all you have to do is graph them but put them in y=mx+b form first, the coordinates is the solution

4 0

3 years ago