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
lutik1710 [3]
3 years ago
12

A plot of land doubles in size by adding x meters to the length and x meters to the width of the land. if the original plot had

an area of 200 by 300 meters, what is the value of x?
Mathematics
1 answer:
ladessa [460]3 years ago
4 0
Lets write as an equation the info provided in the problem:
original area = 200*300 = 60000 squared meters
Adding x meters to the length is: 300 + x
Adding x meters to the width is: 200 + x
If the area doubles in size we have: 2*<span>60000
Now writing as a single equation all info:
(300 + x)(200 + x) = 120000
We have to make the operations and solve:
60000 + 300x + 200x + x^2 = </span><span>120000
x^2 + 500x - 60000 = 0
This is a squared trinomial, to solve it we need two numbers that subtracted give us 500 and multiplied -60000:
(x + 600)(x -100) = 0
So there are two solutions, x = -600 and x = 100, we choose the positive one:
x = 100
thererefore the value of x is 100 meters</span>
You might be interested in
I sailed west to Hawaii against the wind at the speed of 12 knots/hour. When I returned, I sailed the same route with the wind a
expeople1 [14]

Answer:

Step-by-step explanation:

total time is 5 hr and total distance is 72 nautical miles

7 0
3 years ago
Please help. Thank you
Inessa [10]

Given:

PQRS\sim TUVW

In the given figure, PS=x, RS=35, UV=20, VW=25 and TW=15

To find:

The scale factor from PQRS to TUVW.

Solution:

We have,

PQRS\sim TUVW

We know that the corresponding sides of similar figures are proportional. The scale factor is the ratio of one side of image and corresponding side of preimage.

The scale factor is:

k=\dfrac{VW}{RS}

k=\dfrac{25}{35}

k=\dfrac{5}{7}

Therefore, the scale factor from PQRS to TUVW is k=\dfrac{5}{7}.

6 0
3 years ago
Solve for m<br> 2/5 = m/70 =<br> show work and order of operations
Black_prince [1.1K]

Answer:

m = 28

Step-by-step explanation:

70 × 2 = 5m

140 = 5m

28 = m

4 0
3 years ago
Kim has 8 dollars less than twice Ricky. If
olya-2409 [2.1K]

Based on the information given, it should be noted that the correct option is C. 3x - 8.

<h3>Solving equations.</h3>

From the information given, it was stated that Kim has 8 dollars less than twice Ricky. This will be:

= (2 × x) - 8.

= 2x - 8

Also, Ricky has x dollars. Therefore, the amount that they have together will be:

= 2x - 8 + x

= 3x - 8

Learn more about equations on:

brainly.com/question/13763238

4 0
3 years ago
I am struggling with these questions. Please help
Sauron [17]

Answer: Just apply the formula

Step-by-step explanation:

The equation for volume of a cone is:

V_{(cone)} =\frac{1}{3} \pi r^{2} h

The radius is the line that creates a 90 degree angle with the height

The height goes from the base to the tip of the cone.

I recommend leaving Pi as it is and plugging the rest of the numbers first.

Then at the end multiply by 3.14 and round at the end.

This way, it is easier to avoid calculation errors.

5 0
3 years ago
Other questions:
  • Weightbof 72 books is 9 kg. what is thebweight of 80 such books?How many such books would weigh 6 kg?
    7·1 answer
  • A research company found that 11% of the people that they called agreed to participate in a survey.
    15·1 answer
  • The perimeter of a square is 28 cm . What is the area
    10·1 answer
  • Write equivalent fractions for
    14·1 answer
  • Simplify the expression x^-4×y^3×x^4×y^2.
    14·1 answer
  • 4) An expression containing only numbers is called _ _ _ _ _ _ _ _ _.
    13·1 answer
  • 6a to the 3/4 power<br> a=16
    7·1 answer
  • Solve 3ab for a = 2 and b =3
    14·1 answer
  • PLS HELP ILL MARK AS BRAINLESS
    6·2 answers
  • A survey of the 12th grade students at Gaffigan High School found that 84% of the seniors have their driver’s licenses, 16% of s
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!