MATHEMATICS COLLEGE

Two members of the Math Competition Team solve 13 problems in 1 hour. Assume all team members solve problems at the same rate. How many team members are needed to solve in 1 hour: Chapter Reference



39 problems?

Answers

Answer 1
Answer:

The number of problems solved per hour is proportional to the number of team members solving the problems.

  • The number of team members needed to solve 39 problems in one hour are 6 team members.

Reasons:

The time it takes 2 members to solve 13 problems = 1 hour

The rate at which each team member solve problems = The same rate

Required:

The number of team membersto solve 39 problems in 1 hour

Solution:

The time it takes 2 members to solve 13 problems = 1 hour

Let x represent the number of team members needed to solve 39 problems in 1 hour.

Using a proportional relationship approach, given that the duration is the same, we have;

  • \displaystyle (2)/(x) = \mathbf{(13)/(39)} = (1)/(3)

\displaystyle (2)/(x) = \mathbf{(1)/(3)}

Which gives;

2 × 3 = x × 1

6 = x

x = 6

  • The number of team members needed to solve 39 problems in 1 hour is x = 6 team members.

Learn more about proportions here:

brainly.com/question/9132333
Answer 2
Answer:

Answer:

6 team members

Step-by-step explanation:

We know that 2 team members can solve 13 problems in an hour. So, all you have to do is find what 39÷13 is, and multiply that by 2.

39÷13= 3

3*2= 6

And we have our answer!

I hope this helps! If it did, it would mean a lot to me if you could mark me brainliest :D

Have a nice day!

Related Questions

21) Which is the correct reasoning to use when simplifying this expression?−200 ÷ −25A) The quotient of two even integers is always positive. B) The product of two even integers is always positive. C) The quotient of two negative integers is always negative. D) The quotient of two negative integers is always positive.
Square root of 20 is it rational or irrational ?square root of 24 is it rational or irrational ?square root of 61 is it rational or irrational ?square root of 62 is it rational or irrational ?square root of 101 is it rational or irrational ?square root of 105 is it rational or irrational ?
The function A(r)=πr^2 may be used to find the area of a circle with radius r. Find the area of a circle whose radius is 11 centimeters. Please help me ASAP!!!!!!! :(
How many times does 4 go into 55​
An airplane is flying with a constant altitude at a speed of 450 mph in a direction 10° north of west directly towards its final destination. The airplane then encounters wind blowing at a steady 34 mph in a direction 85° north of east. If the pilot does not correct his course after encountering the wind, at what speed and in what direction (counterclockwise from east) will the plane be traveling? Speed:  _____mph   Direction:______ °    If the airplane had encountered no wind at all, it would have reached its final destination in two hours along its original course. Assuming the pilot never corrected his course and that the wind continues to blow at the given speed and direction, how far from its final destination is the airplane after two hours of flying under the given conditions?____  miles   ​

How much is `10\%` of `10` liters of milk?

Answers

the answer would be 1 liter of milk

Answer:

one

Step-by-step explanation:

The sun of a rational number and an irrational number and an irrational number

Answers

Answer: The sum of a rational number and an irrational number is irrational.

Step-by-step explanation:An irrational number in decimal form goes forever without repeating.

A person invests 4000 dollars in a bank. The bank pays 6.25% interest compoundedannually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?

Answers

Answer:

14.4

Step-by-step explanation:

Given that :

Principal = 4000

Interest (r) = 6.25% compounded annually

Calculate time, t, if final amount A = 9600

Using the compound interest formula :

A = P(1 + r/n)^n*t

A = final amount

n = number of times interest is applied per period

9600 = 4000(1 + 0.0625)^t

9600 = 4000(1.0625)^t

9600/4000 = 1.0625^t

2.4 = 1.0625^t

Take the log of both sides

0.3802112 = 0.0263289t

t = 0.3802112/0.0263289

t = 14.440811

t = 14.4 ( nearest tenth)

Help I need this done

Answers

The answer is 6 because I did the math

What is the difference? StartFraction x Over x squared + 3 x + 2 EndFraction minus StartFraction 1 Over (x + 2) (x + 1) EndFraction
StartFraction x minus 1 Over 6 x + 4 EndFraction
StartFraction negative 1 Over 4 x + 2 EndFraction
StartFraction 1 Over x + 2 EndFraction
StartFraction x minus 1 Over x squared + 3 x + 2 EndFraction

Answers

Answer:

The answer is option D.

Step-by-step explanation:

First we must first find the LCM

The LCM of x² + 3x + 2 and (x + 2)(x + 1 ) is

x² + 3x + 2

So we have

\frac{x}{ {x}^(2) + 3x + 2 } - (1)/((x + 2)(x + 1)) \n \n = \frac{x - 1}{ {x}^(2) + 3x + 2 }

Hope this helps you

Answer:

The answer is OPTION D!

Step-by-step explanation:

HoPe ThIs HeLpS!

PLEASE PLEASE PLEASEE PLEASEEEEESE HELPME!?!?!? IM SO BAD AT MATH PLEASE HELP!!! Find the average rate of change from x = 7 to x = 14 for the function f(x) = 0.01(2)x and select the correct answer below.
Select one:
a. 23.22
b. 35.84
c. 128
d. 163.84

IK THE ANSWER IS NOT D. 163.84

Answers

For this case we have the following function:
 f (x) = 0.01 * (2) ^ x
 By definition, the average rate of change is given by:
 AVR = (f(x2) - f(x1))/(x2 - x1)
 We evaluate the function for the given values:
 For x = 7:
 f (7) = 0.01 * (2) ^ 7 f (7) = 1.28
 For x = 14:
 f (14) = 0.01 * (2) ^ {14}  f (14) = 163.84
 Then, replacing values we have:
 AVR = (163.84 - 1.28)/(14 - 7)
 AVR = 23.22
 Answer:
 the average rate of change from x = 7 to x = 14 is:
 a. 23.22 
Other Questions
If the population of a particular country is growing at 1.5 % compounded​ continuously, how long will it take the population to triple?
A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only .9 hours. What is the plane's speed in still air, and how fast is the wind blowing?
Find the quotient of 2/5 and 4/5Give your answer as a fraction in its simplest form.
A theorem in geometry states that the measure of an inscribed angle is half the measure of its intercepted arc. In the figure, angle C intercepts arc AB and line AB is the diameter of the circle. Which equation is a step in showing that the measure of angle C=90 degrees?