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eimsori [14]
2 years ago
6

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 <u>length</u> of the long piece."

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

<u>X + Y = 6.5 meters</u>

We also learn that:

<u>X = 2 Y</u>      [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)

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A television and DVD player cost $1053 the cost of the television is two times the cost of the DVD player
zhuklara [117]

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2106

Step-by-step explanation:

7 0
3 years ago
2. The difference between two numbers is 22. Twice the smaller number exceeds the larger number by 17. What are the two numbers?
drek231 [11]

Answer:61 and 39

Step-by-step explanation:

8 0
3 years ago
At the start of 2014, tim house was worth £100,000 the value of the house increases by 10%per every year work out the value of h
kotykmax [81]

Answer:

$146410

Step-by-step explanation:

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

100,000 x (1.1)^4 = $146410

4 0
2 years ago
charles deposited $12,000 in the bank. He withdrew $5,000 from his account after one year. If he recives a total amount of $9,34
Schach [20]

Answer:

The rate of simple interest is 9%

Step-by-step explanation:

* Lets talk about the simple interest

- The simple Interest Equation (Principal + Interest)  is:

  A = P(1 + rt)  , Where

# A = Total amount (principal + interest)

# P = Principal amount

# I = Interest amount

# r = Rate of Interest per year in decimal r = R/100

# R = Rate of Interest per year as a percent R = r * 100

# t = Time period involved in months or years

- The rule of the simple interest is I = Prt

* lets solve the problem

- Charles deposited $12,000

∴ P = $12,000

- He withdrew $5,000 from his account after one year

- He receives a total amount of $9,340 after 3 years

∴ A = $9340 and t = 3

- Lets find the inetrest after 1 year

∵ I = Prt

∵ P = 12000

∵ t = 1

∴ I = 12000(r)(1) = 12000r

- Lets subtract the money that he withdrew

∵ He withdrew $5000

∵ He deposit at first 12000

∴ He has after the withdrew 12000 - 5000 = 7000

- The new P for the next 2 years is 7000

- This amount will take the same rate r for another two years

- The total money is $9340

∵ I = A - P

∵ A = 9340

∵ P = 7000

∴ The amount of interest = 9340 - 7000 = 2340

- The amount of interest after 3 years is 2340

- Lets find the amount of interest in the two years

∴ I = 7000(r × 2) = 14000r

- The amount of interest after the 3 years is the sum of the interest in

  the 1st year and the other 2 years

∴ 2340 = 14000r + 12000r

∴ 2340 = 26000r ⇒ divide both sides bu 2340

∴ r = 2340 ÷ 26000 = 0.09

∵ The rate R in percentage = r × 100

∴ R = 0.09 × 100 = 9%

∴ The rate of simple interest is 9%

8 0
3 years ago
Que es la geometria​
viktelen [127]
You need help with geometry ?
8 0
3 years ago
Read 2 more answers
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