1answer.
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
jarptica [38.1K]
3 years ago
6

the map shows the route for a race. you are at a, which is 6000 feet from the first checkpoint b. the second checkpoint c is loc

ated at the midpoint between b and the end of the race d. the total race is 3 miles. how far apart are the 2 checkpoints? (hint: there are 5280 feet in a mile.) 5280 feet 6000 feet 4920 feet 9840 feet i will draw the picture!
Mathematics
1 answer:
Nimfa-mama [501]3 years ago
3 0
<span>The two checkpoints are 4,920 ft. apart from each other. The total distance of the race is 15,840 ft. If checkpoint C half the distance between checkpoint B and the end of the race, the distance between Checkpoint B and the end of the race is 9,840 ft. Half of that distance is 4,920 ft.</span>
You might be interested in
For his long distance phone service, Juan pays a $5 monthly fee plus 9 cents per minute. Last month, Juan's long distance bill w
Lera25 [3.4K]

Answer:

80 or 81 minutes

Step-by-step explanation:

12.28-5 =7.28 7.28/.09= 80.88

4 0
3 years ago
Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le
Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes  =68

Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}

68= \frac{\text{Sum of all lengths}}{7}

68 \times 7 =\text{a+b+c+d+e+f+g}

476=\text{a+b+c+d+e+f+g} --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

476=x+x+x+84+84+84+4x+14

476=7x+266

\frac{476-266}{7}=x

30=x

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0
3 years ago
Help ASAP give me the correct answer or else bad luck
ira [324]

Answer:

Both answer are "B" im pretty sure. :)

Step-by-step explanation:

6 0
3 years ago
What is 127.484 to the nearest whole number
nikklg [1K]

Answer:

127

Step-by-step explanation:

A whole number is a number without any fractions (or decimals), so you just have to round the number to the nearest number without any decimals, which is 127

3 0
3 years ago
Read 2 more answers
What are the solutions to the equation 2(x-3)^2=54 ?
erastova [34]

Answer:

      x =(6-√108)/2=3-3√ 3 = -2.196

 x =(6+√108)/2=3+3√ 3 = 8.196

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

2 • (x - 3)2 - 54 = 0

Step  2  :

 2.1    Evaluate :  (x-3)2   =  x2-6x+9 

Step  3  :

Pulling out like terms :

 3.1     Pull out like factors :

   2x2 - 12x - 36  =   2 • (x2 - 6x - 18) 

Adding  9  has completed the left hand side into a perfect square :

   x2-6x+9  =

   (x-3) • (x-3)  =

  (x-3)2  (x-3)1 =

   x-3

Now, applying the Square Root Principle to  Eq. #4.3.1  we get:

   x-3 = √ 27

Add  3  to both sides to obtain:

   x = 3 + √ 27

Since a square root has two values, one positive and the other negative

   x2 - 6x - 18 = 0

   has two solutions:

  x = 3 + √ 27

   or

  x = 3 - √ 27

Solve Quadratic Equation using the Quadratic Formula

 4.4     Solving    x2-6x-18 = 0 by the Quadratic Formula .

 According to the Quadratic Formula,  x  , the solution for   Ax2+Bx+C  = 0  , where  A, B  and  C  are numbers, often called coefficients, is given by :

                                     

            - B  ±  √ B2-4AC

  x =   ————————

                      2A

  In our case,  A   =     1

                      B   =    -6

                      C   =  -18

Accordingly,  B2  -  4AC   =

                     36 - (-72) =

                     108

Applying the quadratic formula :

               6 ± √ 108

   x  =    —————

                    2

Can  √ 108 be simplified ?

Yes!   The prime factorization of  108   is

   2•2•3•3•3 

To be able to remove something from under the radical, there have to be  2  instances of it (because we are taking a square i.e. second root).

√ 108   =  √ 2•2•3•3•3   =2•3•√ 3   =

                ±  6 • √ 3

  √ 3   , rounded to 4 decimal digits, is   1.7321

 So now we are looking at:

           x  =  ( 6 ± 6 •  1.732 ) / 2

Two real solutions:

 x =(6+√108)/2=3+3√ 3 = 8.196

or:

 x =(6-√108)/2=3-3√ 3 = -2.196

7 0
3 years ago
Other questions:
  • PLEASE HELP ME WITH THIS
    7·2 answers
  • You went to the mall with $80. You spend 25% of the money on shorts and 65% of the remainder on sandals. How much did the sandal
    6·1 answer
  • 40% discount on all items <br><br> What is the discount on $60
    13·1 answer
  • Paula kitten weighs 3 1/2 pounds write this weight using pounds and ounces explain how you found your answer
    15·1 answer
  • Find the measures of the interior angles of the triangle.
    6·1 answer
  • 5. Leyla will roll a number cube 1-4 and flip a coin. The coin can land on heads or tails. If Leyla rolls the number cube once a
    15·1 answer
  • What is the rate of change of the function described in the table? ​
    13·1 answer
  • Please look at the slope and write the equation for each problem...
    7·1 answer
  • Find two negative consecutive integers such that the square of the first is five more than the second. Find the integers.
    11·1 answer
  • GI and JL are parallel lines.Which angles are corresponding angles?(Practice Quiz.)Options:a)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!