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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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On a long hike Lucy drank 6 pints of water. How much is this in quarts?
Ostrovityanka [42]

On a long hike Lucy drank 6 pints of water, which is equal to 3 quarts.

<h3>What is quarts?</h3>

An English measurement of volume equal to one-quarter gallon is the quart. There are now three different types of quarts in use: the liquid quart, dry quart, and imperial quart of the British imperial system. One liter is roughly equivalent to each. It is divided into four cups or two pints (in the US). The precise dimensions of the quart have historically changed in line with shifting values of gallons over time and in relation to various commodities.

A measure of liquid capacity that is equal to two pints or a quarter of a gallon, or roughly 0.94 liter in the US and 1.13 liter in the UK.

Since, 1 quart = 2 pints

Therefore by unitary method we can say,

2pint= 1 quart

6pint= 3quarts

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5 0
1 year ago
I have no idea what the answers are
lara [203]

Hello from MrBillDoesMath!

Answer:

Top line: y = (2/3)x + 2

Bottom line:  y = (2/3)x  -1

Discussion:

The graph provided is hard to read but I did the best I could.

The top line appears to pass through the points (0,2) and (-3,0)

For this line

m =  change y /change x = (0-2)/(-3-0) = -2/-3 = +2/3. So

y = mx + b => y = (2/3) x+ b.  As the line passes through (0,2) set x = 0, y= 2 in y = (2/3)x + b =>  

2 = (2/3) 0 + b   => b = 2

Therefore    y = (2/3)x + 2

The bottom line appears to pass through the points (0,-1) and (3,1)

For this line

m =  change y /change x = (1-(-1)) /(3-0) = +2/-3. So

y = mx + b => y = (2/3) x+ b.  As the line passes through (0,-1) set x = 0, y= -1  in y = (2/3)x + b =>  

-1  = (2/3) 0 + b   => b = -1

Therefore    y = (2/3)x + -1

Thank you,

MrB

5 0
3 years ago
F(x) = x2. What is g(x)?
uranmaximum [27]

Answer:

g(x) = 1/2x^2

Step-by-step explanation:

I hope this helps

8 0
2 years ago
The volume of a cube is 343 cubic centimeters. how many centimeters long is each edge of the cube?
motikmotik
If the volume is 343 cubic cm the length of each side is 7cm.

3 0
3 years ago
Can someone help me please and show work thank you
VladimirAG [237]

Answer:

60% decrease

Step-by-step explanation:

To work out percentage change you takeaway the original number by the new number (New number-Original number) in this case 24-60=(-36), then divide the decreased amount by the original number and multiply the answer by 100 (Decrease amount ÷ Original number x 100) for this question you'd do (-36)÷60=(-0.6) then (-0.6)x100=(-60).

The minus shows its a decrease in percentage by 60%

(I hope this helps srry if it doesn't make sense)

6 0
3 years ago
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