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
elena55 [62]
3 years ago
5

Park two has 12 more benches than Park one. If 2 benches were transferred from Park two to Park one, then Park two would have 2

times more benches than Park one. How many benches were originally there in Park two? Please answer I need this answer ASAP will mark brainliest IF the answer has full explanation and correct answer!
Mathematics
2 answers:
marta [7]3 years ago
6 0

Answer:

There were 6 benches in park 1 and 18 benches in park 2.

Step-by-step explanation:

Let x be the no of benches in Park 1 and y in park 2.

Given that there are 12 more benches in park 2 than 1

Writing this in equation form, we have y = x+12 ... i

Next is if 2 benches were transferred from park 2 to park 1, then we have

x+2 in park 1 and y-2 in park 2.

Given that y-2 = twice that of x+2

Or y-2 = 2x+4 ... ii

Rewrite by adding 2 to both sides of equation ii.

y = 2x+6 ... iii

i-iii gives 0 = -x+6

Or x =6

Substitute in i, to have y = 6+12 = 18

Verify:

Original benches 6 and 18.

18 = 6+12 hence I condition is satisfied

18-2 = 2(6+2)

II is also satisfied.

Luda [366]3 years ago
3 0
Park 2: 12 more benches

take two away

park two: 10 more benches and has 2 times more benches than park one

half of 10 is 5

5 minus the 2 benches is 3, which was what to start with

if park two had 12 more benches then the 3 that the park one had then 3 + 12 is 15

CORRECT ANSWER: 15
You might be interested in
The volume of a cone is 37.7 cubic inches, and its height is 4 inches. What is the diameter of the base of the cone?
Rom4ik [11]
Just multiply 37.7 by 4 and get your answer.
6 0
3 years ago
Help! Picture attached
schepotkina [342]

Answer:

minimum maximum parabolas are equal then because of the circumference

Step-by-step explanation:

5 0
2 years ago
How would I do the steps to solve this?
allsm [11]

Answer:

The maximum revenue is 16000 dollars (at p = 40)

Step-by-step explanation:

One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.

Given function is:

R(p) = -10p^2+800p

Taking derivative wrt p

\frac{d}{dp} (R(p) = \frac{d}{dp} (-10p^2+800p)\\R'(p) = -10 \frac{d}{dp} (p^2) +800 \ frac{d}{dp}(p)\\R'(p) = -10 (2p) +800(1)\\R'(p) = -20p+800\\

Now putting R'(p) = 0

-20p+800 = 0\\-20p = -800\\\frac{-20p}{-20} = \frac{-800}{-20}\\p = 40

As p is is positive and the second derivative is -20, the function will have maximum value at p = 40

Putting p=40 in function

R(40) = -10(40)^2 +800(40)\\= -10(1600) + 32000\\=-16000+32000\\=16000

The maximum revenue is 16000 dollars (at p = 40)

3 0
2 years ago
Help Wegnerkolmp2741o i need ur help!
melamori03 [73]

Answer:

a

Step-by-step explanation:

4 0
3 years ago
The two windows shown are similar. What is the height of the larger window? The small one is 5 by 4 and the big one is 6.8 by ?
makkiz [27]

Answer:

5.44 ft

Step-by-step explanation:

(6.8/5)4=5.44

3 0
3 years ago
Other questions:
  • Just a little help please
    13·2 answers
  • 3 over 5 is 30% of what number?
    10·1 answer
  • Please answer this correctly fill in the missing sequence next to 1
    14·2 answers
  • Find the distance d. Round your answer to the nearest tenth. Show the steps to solve.
    7·1 answer
  • What is the product -4 1/2 and 2 1/2 as a mixed number and in simplified form
    13·2 answers
  • If f(x)=2x-9 what is f(5)
    6·1 answer
  • AB = 4 - 5x and BC = 2x+ 25 <br> X= 7
    15·1 answer
  • You can drive your car for 4.5 hours at the average speed of 70 miles per hour. how far did you go?
    10·1 answer
  • I’d Appreciate it if you helped me :)
    7·1 answer
  • 9. Write an algebraic expression for each verbal expression.
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!