answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olga2289 [7]
2 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]2 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]2 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}

You might be interested in
If p is a polynomial show that lim x→ap(x)=p(a
Lostsunrise [7]

Let p(x) be a polynomial, and suppose that a is any real number. Prove that

lim x→a p(x) = p(a) .

 

Solution. Notice that

 

2(−1)4 − 3(−1)3 − 4(−1)2 − (−1) − 1 = 1 .

 

So x − (−1) must divide 2x^4 − 3x^3 − 4x^2 − x − 2. Do polynomial long division to get 2x^4 − 3x^3 − 4x^2 – x – 2 / (x − (−1)) = 2x^3 − 5x^2 + x – 2.

 

Let ε > 0. Set δ = min{ ε/40 , 1}. Let x be a real number such that 0 < |x−(−1)| < δ. Then |x + 1| < ε/40 . Also, |x + 1| < 1, so −2 < x < 0. In particular |x| < 2. So

 

|2x^3 − 5x^2 + x − 2| ≤ |2x^3 | + | − 5x^2 | + |x| + | − 2|

= 2|x|^3 + 5|x|^2 + |x| + 2

< 2(2)^3 + 5(2)^2 + (2) + 2

= 40

 

Thus, |2x^4 − 3x^3 − 4x^2 − x − 2| = |x + 1| · |2x^3 − 5x^2 + x − 2| < ε/40 · 40 = ε.

3 0
2 years ago
PLEASE HELP!! Which steps can be used to solve 6/7x+1/2=7/8 for x? Check all that apply. A. Divide both sides of the equation by
Anon25 [30]

Answer:

B. first step

6/7x=7/8-1/2

c. second step

6/7x=7/8-4/8=3/8

d. and e are the same

x=3/8x7/6

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A hospital takes record of any birth that occurs there every day. On one day, the hospital reports that 35 of the 62 babies born
andre [41]

Answer:

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Michael went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 40 grams of sugar and
Fudgin [204]
40x+20y=300
x= amount of soda bottles
y= amount of juice bottles

Solving this equation, finding x&y will give you the number of each bottles!

I hope this helped!

~ Penny
8 0
2 years ago
Read 2 more answers
The steps below show the work of a student used to calculate the number of yards in 6,436 meters.
Novay_Z [31]

The conversion factor should be multiplied in Step 2 instead of being divided.

7 0
2 years ago
Read 2 more answers
Other questions:
  • uma pizza de queijo tem diâmetro igual a 30 cm e esta dividida em 6 fatias qual e a área de cada fatia
    13·2 answers
  • At the time of her​ grandson's birth, a grandmother deposits $ 2000 in an account that pays 3.5 % compounded monthly. What will
    6·2 answers
  • Mr. Bray prepares a list of 43 US presidents, 8 of whom died in office. Then 18 of his students each select a
    14·2 answers
  • Mary lost 30 pounds. Before her diet she weighed 180 pounds. What is the percent of change.
    6·1 answer
  • ABC is a triangle and PQ is parallel to BC.<br>BC=12.6cm, PQ=8.4 cm and AQ= 7.2 cm.<br>Find AC​
    5·1 answer
  • Which properties belong to all isosceles triangles? Check all that apply.
    7·2 answers
  • Two commuters leave the same city at the same time but travel in opposite directions. One car is traveling at an average speed o
    14·1 answer
  • Rhonda wants to take out a 30-year, $280,000 loan with a 4.4% APR. She is considering purchasing 2 points, which will decrease h
    11·1 answer
  • How is the graph of y = negative RootIndex 3 StartRoot x minus 4 EndRoot transformed to produce the graph of y = negative RootIn
    10·2 answers
  • Gavyn rolls a fair dice 540 times.<br> How many times would Gavyn expect to roll a four?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!