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
Angle measure labeled a<br> The arc mesure labeled c
inna [77]

Step-by-step explanation:

angle measure a =48/2=24°

the arc measure =360°-48°=312°

<h3>stay safe healthy and happy.</h3>
5 0
3 years ago
Read 2 more answers
Suppose you earn $7.25 per hour working part-time for a florist. Write and solve an inequality to find how many full hours you m
svlad2 [7]
h-number\ of\ the\ full\ hours\\\\7.25h\geq125\ \ \ \  \ |divide\ both\ sides\ by\ 7.25\\\\h\geq\frac{125}{7.25}\\\\h\geq\frac{12500}{725}\\\\h\geq\frac{500}{29}\\\\h\geq17\frac{7}{29}\\\\Answer:You\ must\ work\ at\ least\ 18\ hours.
7 0
3 years ago
Read 2 more answers
Brady is saving $360 to buy a new hoverboard. He already has $85 and can earn $12 per hour at work. Which of the following equat
Vilka [71]

Answer:

23h

Step-by-step explanation:

360-85= 275

he need 275$

so 12$ per hour

so he need 23h to collect  the rest of the 360 $ 275

8 0
3 years ago
How do you graph y=3x-4 on a coordinate grid
mars1129 [50]

Answer:

You can look at the screenshot

Step-by-step explanation:

So one point of the line is (0, -4) and another point is (4/3, 0). Plot these points on a graph and draw a line.

0, -4 is from making x = 0, and then 4/3, 0 is from making y = 0.

7 0
3 years ago
Read 2 more answers
(6 to the power of 3 times 3 to the power of 3) to the power of 2
frosja888 [35]

Answer:

True

Step-by-step explanation:

(6³ * 3³)² = 18⁶

Multiply inside the parenthesis.

(18³)² = 18⁶

When you put powers to powers, they multiply, eg:

(x³)⁴ = x³°⁴ = x¹²

18⁶ = 18⁶

True.

4 0
2 years ago
Other questions:
  • The sum of 57 and a number b
    11·1 answer
  • how do you solve this: the sale price is $146.54 and the discount is 15% off. how do you solve for the original price?
    5·1 answer
  • Find the sum of the arithmetic series if a1=−52,a28=−79,and n=28
    11·1 answer
  • A sphere has a volume of 850 m^3 find its surface area
    8·1 answer
  • I’ll give you brainliest
    15·2 answers
  • 5 A classroom has 42 desks. Each row has 7 seats. Write an equation to find the number of rows in the classroom. Solve the equat
    6·2 answers
  • How is 1.03 written as a percent?
    13·1 answer
  • Answer the question below, and then fill in the blanks if necessary.
    5·1 answer
  • What is the expanded form of this number?
    6·1 answer
  • Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!