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Butoxors [25]
3 years ago
8

John can complete a paper route in 20 minutes. Steve can complete the same route in 30 minutes. How long will it take them to co

mplete the route if they work together?
Mathematics
2 answers:
jek_recluse [69]3 years ago
6 0
12 minutes to complete the route together
wel3 years ago
6 0

John can complete a paper route in 20 minutes.

John's 1 minute work = 1/20 , so rate =1/20 job/minute

Steve can complete the same route in 30 minutes

Steve's 1 minute work =1/30, so rate =1/30 job/minute

Together DATA:

Time = y min/job ; Rate = 1/y job/min

rate + rate = together rate

1/20 + 1/30 = 1/y

(30+20)/600 = 1/y

50/600

5/60 = 1/y

y = 60/5 = 12 minutes (time for this to do the job together)

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Round your answer to the nearest tenth.<br> y = 2x + 7 y=2x-2
Jet001 [13]

Answer:

no solution

Step-by-step explanation:

when you put in what y equals you get 2x-2=2x+7

8 0
3 years ago
Identify the perimeter and area of a square with diagonal length 11in. Give your answer in simplest radical form. HELP PLEASE!!
Nataliya [291]

Answer:

  • Perimeter = 22*sqrt(2)
  • Area = 60.5 inches
  • D

Step-by-step explanation:

Remark

You need 2 facts.

  1. A square has 4 equal sides.
  2. It contains (by definition) 1 right angle but since we are not including and statement about parallel sides, it needs 4 right angles.

That means you can use the Pythagorean Theorem.

If one side of a square is a then the 1 after it is a as well.

Formula

  • a^2 + a^2 = c^2
  • 2a^2 = c^2

Givens

  • c = 11

Solution

  • 2a^2 = 11^2
  • 2a^2 = 121                    Divide by 2
  • a^2 = 121/2                  Take the square root of both sides
  • sqrt(a^2) = sqr(121/2)    
  • a = 11/sqrt(2)                Rationalize the denominator
  • a = 11 * sqrt(2)/[sqrt(2) * sqrt(2)]
  • a = 11 * sqrt(2) / 2

<em><u>Perimeter</u></em>

P = 4s

  • P = 4*11*sqrt(2)/2
  • P = 44*sqrt(2)/2
  • P = 22*sqrt(2)

You don't need the area. The answer is D

<em><u>Area</u></em>

  • Area = s^2
  • Area = (11*sqrt(2)/2 ) ^2
  • Area = 121 * 2 / 4
  • Area = 60.5


8 0
3 years ago
Write an equation for a line parallel to y=3x-3 and passing through the point (4,15)
Andrews [41]

Hello!

To find the equation of a line parallel to y = 3x - 3 and passing through the point (4, 15), we need to know that if two lines are parallel, then their slopes are equivalent.

This means that we create a new equation in slope-intercept form, which includes the original slope, which is equal to 3.

In slope-intercept form, we need a y-intercept. So, we would substitute the given ordered pair into the new equation with the same slope and solve.

Remember that slope-intercept form is: y = mx + b, where m is the slope and b is the y-intercept.

y = 3x + b (substitute the ordered pair (4, 15))

15 = 3(4) + b (simplify)

15 = 12 + b (subtract 12 from both sides)

3 = b

Therefore, the equation for the line parallel to the line y = 3x - 3, and passing through the point (4, 15) is y = 3x + 3.

8 0
3 years ago
There are 11 students on the tennis team. The coach selects 3 of them to go to atennis clinic. In how many ways can he choose 3
Komok [63]

Answer:

165 ways

Step-by-step explanation:

Selection deals with combination

There are a total of 11 from which 3 are to be selected

        11C3 = 11!/3!(11-3)!

                 = 11!/(3!x8!)

                 =(11x10x9x8!)/(3x2x8!)

                 =11x10x9/6

                 =11x5x3 = 165 ways

                 

8 0
3 years ago
Which experiment describes a binomial experiment?
marshall27 [118]
Answer: the last option.
A binomial experiment is an experiment with only two possible outcomes.

In the first option, there is three possible outcomes (i.e. A, B, C)
In the second option, there is four poissible outcomes (i.e. ace, king, queen, jack)
The third option has six possible outcomes (i.e. six faces of a die)
In the last option, there are two possible outcomes (i.e. '2 number cubes')
6 0
3 years ago
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