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kogti [31]
3 years ago
13

Shean has a piece of string 7/8 meter long. He uses 1/5 of he piece of string to tie a package and cuts the rest into 5 equal pa

rts. What is the length of the pieces.
Mathematics
1 answer:
Anastasy [175]3 years ago
5 0

Answer:

7/50 meter

Step-by-step explanation:

Total piece of string = 7/8 meter

Used string = 1/5 of the piece of string

Used string =

1/5 of 7/8 meter

= 1/5 × 7/8

= 7/40 meter

Balance = Total string - used string

= 7/8 - 7/40

= 35-7/40

= 28/40

Balance = 28/40 meter

cuts the rest into 5 equal parts. What is the length of the pieces.

28/40 ÷ 5

= 28/40 × 1/5

= 28 / 200

= 7/50 meter

Length of each piece = 7/50 meter

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On a horizontal number line, positive numbers are_____
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You have a credit card with a balance of $754.43 at a 13.6% APR. You have $300.00 available each month to save or pay down your
pochemuha
 <span>B(n) = A(1 + i)^n - (P/i)[(1 + i)^n - 1] 

where B is the balance after n payments are made, i is the monthly interest rate, P is the monthly payment and A is the initial amount of loan. 

We require B(n) = 0...i.e. balance of 0 after n months. 

so, 0 = A(1 + i)^n - (P/i)[(1 + i)^n - 1] 

Then, with some algebraic juggling we get: 

n = -[log(1 - (Ai/P)]/log(1 + i) 

Now, payment is at the beginning of the month, so A = $754.43 - $150 => $604.43 

Also, i = (13.6/100)/12 => 0.136/12 per month 

i.e. n = -[log(1 - (604.43)(0.136/12)/150)]/log(1 + 0.136/12) 

so, n = 4.15 months...i.e. 4 payments + remainder 

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3 years ago
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Hope this help!!!

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7 0
3 years ago
Read 2 more answers
Antonius the chef wants to cook several batches of lasagna and spaghetti for his restaurant. He plans to use at least 4.54.5 kil
yaroslaw [1]

Answer: No he does not meet both of his expectation by cooking 10 batches of spaghetti and 4 batches of lasagna.

Step-by-step explanation:

Since here S represents the number of batches of spaghetti and L represents the total number of lasagna.

And,  the chef planed to use at least 4.5 kilograms of pasta and more than 6.3 liters of sauce to cook spaghetti and lasagna.

Which is shown by the below inequality,

0.3S+0.65L \geq 4.5 ----------(1)

And,  0.25S+0.8L >6.3 --------(2)

By putting S = 10 and L = 4 in the  inequality (1),

0.3\times 10+0.65\times 4 \geq 4.5

⇒ 5.6\geq 4.5(true)

Thus, for the values  S = 10 and L = 4 the inequality (1) is followed.

Again By putting S = 10 and L = 4 in the  inequality (2),

0.25\times 10+0.8\times 4 >6.3

⇒ 5.7>6.3( false)

But, for the values  S = 10 and L = 4 the inequality (2) is not  followed.

Therefore, Antonius does not meet both of his expectations by cooking 10 batches of spaghetti and 4 batches of lasagna.



4 0
3 years ago
Read 2 more answers
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