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
nydimaria [60]
3 years ago
9

The Magic Dragon has 2013 heads. Leo the Brave is cutting off the Dragon's heads at a speed of 5 heads per minute. The Dragon's

heads are growing back at a speed of 2 heads per minute. How many heads will the Dragon have in an hour? How long will the "fight" last?
Mathematics
1 answer:
aivan3 [116]3 years ago
3 0

Answer:  The answer is 1833 heads  and 11 hours, 11 minutes.


Step-by-step explanation:  Given that the Magic Dragon has 2013 heads. The brave Leo is cutting off the Dragon's heads at a speed of 5 heads per minute. But, the Dragon's heads are growing back at a speed of 2 heads per minute.

So, the number of heads of Dragon that are decreasing per minute = 3.

Therefore, after 1 hour, i.e., 60 minutes, The number of heads of the Dragon

= 2013 - 60 × 3 = 2013 - 180 = 1833 heads.

Now, the fight will last until all the heads of the Dragon are cut. Let the fight lasts for 'x' minutes, then

2013-x\times 3=0\\\\\Rightarrow 3x=2013\\\\\Rightarrow x=\dfrac{2013}{3}=671.

Hence the fight lasts for 671 minutes, i.e., 11 hours and 11 minutes.

Thus, the Dragon will have 1833 heads after 1 hour and the fight will last for 11 hour and 11 minutes.


You might be interested in
Joe spent half of his weekly allowance playing mini-golf. To earn money, his parents let him weed the garden for $6. What is his
frosja888 [35]

Answer: Joe's weekly allowance = $12

Step-by-step explanation:

Joe spent half of his weekly allowance playing mini-golf

Let a = his weekly allowance

This means Joe spent a/2 playing mini-golf.

To earn money, his parents let him weed the garden for $6

This means Joe's total money

= a + 6

What is his weekly allowance if he ended with $12?

This means he had $12 left after spending a/2 from ta total of (a +6)

Therefore,

(a +6) -a/2 = 12

Taking LCM of 2

[2(a+6)-a]/2=12

Cross multiplying by 2

2a + 12-a = 24

a+12 =24

a = 24-12 =$12

Joe's weekly allowance = $12

6 0
3 years ago
A=4ℼR2 solve for R<br> SHOW ALL STEPSSSSS NOWWWWWWWW!!!!!!!!! PLZZZZZZZ
makkiz [27]

Answer:

b

Step-by-step explanation:

no it is not right she have to do the right thing to get the answer

8 0
3 years ago
Mrs. 1 ran 10 meters in 3.8 seconds. Mrs. 2 ran 10 meters in 3.2 seconds.<br> Who ran faster?
Margarita [4]

Answer:

Mrs. 2

Step-by-step explanation:

3.2 seconds is shorter than 3.8 seconds

8 0
3 years ago
Read 2 more answers
Determine if the following table represents a quadratic function.
snow_tiger [21]

Answer:

<em>The options are not visible enough (See Explanation)</em>

Step-by-step explanation:

Given

x:-  1   || 2   || 3   || 4   || 5

y:-  13 || 22 || 37 || 58 || 85

Required

Determine if the function is quadratic

Calculate the difference between the values of y

Difference = 22 - 13 = 9

Difference = 37 - 22 = 15

Difference = 58 - 37 = 21

Difference = 85 - 58 = 27

<em>The resulting difference are: 9 || 15 || 21 ||  27</em>

Next; Calculate the difference between the difference of values of y

Difference = 15 - 9 = 6

Difference = 21 - 15 = 6

Difference = 27 - 21 = 6

<em>The resulting difference are: 6 || 6 || 6</em>

<em>For the function to be quadratic, the above difference must be the same and since they are the same (6), then the function represents a quadratic function.</em>

7 0
3 years ago
Multiply using FOIL or Table method (x + 4) (x + 5)
mylen [45]

Answer:

{x}^{2}  + 9x + 20

Step-by-step explanation:

1) Use FOIL method: (a + b) (c + d) = ac + ad + bc + bd.

{x}^{2}  + 5x + 4x + 20

2) Collect like terms.

{x}^{2}  + (5x + 4x) + 20

3) Simplify.

{x}^{2}  + 9x + 20

<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><u>x</u><u>²</u><u> </u><u>+</u><u> </u><u>9x</u><u> </u><u>+</u><u> </u><u>20</u>.

5 0
3 years ago
Other questions:
  • If x\3-2=5x-2 then x=
    15·1 answer
  • Sketch the graph of the function
    5·1 answer
  • 5 3rd power- 12 ÷ 3 need to show the steps of answer 121
    9·1 answer
  • What's four to the six power times four to the seventh power
    5·2 answers
  • A product with an annual demand of 1000 units has Co = $25.50 and Ch = $8. The demand exhibits some variability such that the le
    12·1 answer
  • Solve the system of equations for -2x+2y=4
    6·1 answer
  • A householder pays £384 for electricity in a year. She pays in twelve equal monthly installments. How much does she pays each mo
    7·2 answers
  • Work out m and c for the line:<br> y= 2x + 5
    13·1 answer
  • Someone help please
    6·1 answer
  • Which expression is equivalent to 64 2/3<br><br><br> PLS HELP
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!