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Ivanshal [37]
2 years ago
5

I have k quarters, five less quarters than nickels and one more than twice as many dimes as quarters. Find the value of the coin

s in cents in terms of k.
Mathematics
2 answers:
artcher [175]2 years ago
7 0

Answer:

40k + 35 cents

Step-by-step explanation:

Each quarter is worth 25 cents, each nickels is worth 5 cents and each dime is worth 10 cents.

Value of all quarters:

25k

Value of all nickels:

5*(k+5)\\5k+25

Value of all dimes:

10*(2k+1)\\20k + 10

The value of all coins in terms of k is:

V=25k+5k+25+20k+10\\V= 40k +35\ cents

All coins are worth 40k + 35 cents.

andrew11 [14]2 years ago
6 0

Answer:

40k 35cents

Step-by-step explanation:

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Which will result in a difference of squares? (negative 7 x + 4)(negative 7 x + 4) (negative 7 x + 4)(4 minus 7 x) (negative 7 x
nevsk [136]

Answer:

(negative 7 x + 4)(negative 7 x minus 4)

Step-by-step explanation:

Consider two real numbers a and b. A difference of squares involving a and b is usually given as;

a^{2}-b^{2}

The difference of the two squares above can be factored to yield;

(a-b)(a+b)

This implies that in order to have the difference of squares we must have a product involving the difference and the sum of the numbers.

The expression;

(negative 7 x + 4)(negative 7 x minus 4) can also be written as ( 4 - 7x) ( -4 - 7x)

( 4 - 7x) ( -4 - 7x) = ( 4 - 7x) (-1( 4 + 7x)) = -1 *( 4 - 7x) ( 4 + 7x)

Expanding the last expression yields;

-1 (16 + 28x -28x - 49x^2) = -1 (16 - 49x^2) = 49x^2 - 16 which is in deed a difference of squares

3 0
2 years ago
Read 2 more answers
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well
laiz [17]

Answer:

The  value is  P(A) =  0.133617

Step-by-step explanation:

From the question we are told that

  The  mean is  \mu =  7.5

  The standard deviation is  \sigma  =  0.2

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Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

       P(A) =  1 - P(7.2 \le X  \le 7.8 )

Here  

      P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } <  \frac{X - \mu }{ \sigma }

Generally \frac{X - \mu }{ \sigma } =  Z (The  \ standardized \  value  \  of  X )

So

 P(7.2 < X  < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z    

 P(7.2 < X  < 7.8 ) = P(-1.5 < Z  

=>  P(7.2 < X  < 7.8 ) = P(Z <  1.5) - P(  Z < - 1.5)

From the z-table the probability of  (Z <  -1.5) and   (  Z <1.5)  are

    P(Z <  1.5) =  0.93319

and  

    P(Z <  -1.5) =  0.066807

So

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So

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5 0
1 year ago
*31. Priya and Ravish planned to participate in a cycle race to be organised for National integration. They decided
Julli [10]

Answer:

36 minutes

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Step-by-step explanation:

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=> After 36 minutes they meet again at the starting point

=> At that time, Priya has completed: 36/18 = 2 rounds

=> At that time, Ravish has completed: 36/12 = 3 rounds

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netineya [11]

Answer:

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MA_775_DIABLO [31]
The answer is c because is a vrtical line



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