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olga2289 [7]
3 years ago
11

Let m,n,p, and q represent nonzero positive integers. find a number in terms of m,n,p, and q that is halfway between m/n and p/q

.
Mathematics
2 answers:
alukav5142 [94]3 years ago
7 0
This is the same as averaging. You add them and divide by 2.

((m/n) + (p/q))/2 would be a number in between m/n and p/q.

Do note that n and q must be nonzero, but luckily that is a given.
bulgar [2K]3 years ago
6 0

Answer:

it is given that,m,n,p, and q represent nonzero positive integers.

A number between a and b is given by

  \frac{a+b}{2}

where, a and b are rational numbers ,having denominator ≠0.

A number between

 \frac{m}{n} \text{and} \frac{p}{q} \text{is equal to}\\\\=\frac{\frac{m}{n} + \frac{p}{q}}{2}\\\\=\frac{mq+np}{2nq}

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The numerator of the given fraction is 4 less than the denominator. If 5 is added to both numerator and denominator, the resulti
Sholpan [36]

Answer:

5/9

Step-by-step explanation:

Let the denominator be x and numerator be y.

Given, numerator is 4 less than denominator

=> y = x - 4 ...(1)

When 5 is added to both:

Numerator = y + 5 , and, denominator = x + 5

Now their ratio is 5/7.

=> (y + 5)/(x + 5) = 5/7

=> 7(y + 5) = 5(x + 5)

=> 7y + 35 = 5x + 25

=> 7y - 5x = 25 - 35

=> 7(x - 4) - 5x = -10 {y=x-4}

=> 7x - 28 - 5x = -10

=> 2x = 18

=> x = 9

Thus,

Fraction is y/x = (x-4)/x = (9-4)/9 = 5/9

4 0
3 years ago
Will give brainliest
Anna [14]

Answer: 23.5

Step-by-step explanation: Divide 47.00 by 2 and you get 23.5

hope this helps

7 0
2 years ago
FREE BRAINLIEST!: (n+2) to the power of 2 - 5a + 1 when n=6 and a=2
BlackZzzverrR [31]

Answer:

55

Step-by-step explanation:

2−5+1+8

11−5

i add 8 because  n is 6 so add 2 it is 8 so i put it in the problem  and got 55

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6 0
3 years ago
A jar containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar is $4.45. Solve by e
borishaifa [10]

Answer: 31 nickels and 29 dimes

<u>Step-by-step explanation:</u>

Nickels (.05): x

Dimes (.10): y


 Value:     .05x + .10y = 4.45 →  -20(.05x + .10y = 4.45)   →   -x - 2y = -89

Quantity:        x  +    y  = 60   →       1(x  +    y  = 60)           →   <u> x  + y </u> = <u> 60 </u>

                                                                                                       -y  = -29

                                                                                                        y  =  29

Next, substitute "29" for "y" into either equation and solve for "x":

x +  y  = 60

x + 29 = 60

x          = 31


5 0
3 years ago
Express x in terms of a and b: b−7x=a−b
pav-90 [236]
B - 7x = a - b
Subtract b from both sides.

-7x = a - 2b
Divide both sides by -7.

x = \frac{-a + 2b}{7}
4 0
3 years ago
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