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
Hunter-Best [27]
3 years ago
9

The area of a plot of land is 2496 square meters. A small part of the land is fenced. The ratio of the area of the plot of land

to the area that is not fenced is 48:31. What is the area of the land that is not fenced?
Mathematics
1 answer:
AfilCa [17]3 years ago
4 0
My late response (haha): First, you would write a proportion.

Step 1: 2496 over 48 = x over 31
(x represents the area of the land that is not fenced).

Step 2: Cross multiply
2496 times 31 and x times 48

Step 3: Calculate
77376 = 48x

Step 4: Divide both sides by 48
77376/48 = 1612
48x/48 = x

Step 5: Write it as a sentence 
The area of the land that is not fenced is 1612 squared meters. 

Hope that helped! Good luck! :]
You might be interested in
Two mountain bikers take off from the same place at the same time. One travels north at 4 mph, and the other travels east at 3 m
Dafna1 [17]

Answer:

20 miles (Answer B)

Step-by-step explanation:

The northbound biker travels (4 mph)(4 hr) = 16 mi, and

the eastbound biker travels (3 mph)(4 hr) = 12 mi.

They travel at right angles to one another.  Thus, the Pythagorean Theorem applies here.  The distance between the two bikers is d = √( [12 mi]^2 + [16 mi]^2 ), or √(144 + 256) mi, or √400 mi, which works out to 20 miles.

Answer B is correct.


8 0
3 years ago
Question 3
BigorU [14]

Answer:

  30 mph

Step-by-step explanation:

time = distance/speed

If x represents Jane's speed along the summit then her total exploration time is ...

  12/x + 40/(x -5) = 2 . . . . . hours

Multiplying by (x)(x -5), we get ...

  12(x -5) +40(x) = 2(x)(x -5)

Dividing by 2 and subtracting the left side gives ...

  x^2 -31x +30 = 0

  (x -30)(x -1) = 0 . . . . . factor

Solutions are x = 30 and x = 1, values of x that make the factors zero. A speed of 1 mph makes no sense in this problem, so ...

Jane's speed along the summit was 30 mph.

3 0
3 years ago
Read 2 more answers
Can someone please help me with this question? Thank you!
Goryan [66]

Answer: A

<u>Step-by-step explanation:</u>

\stackrel\frown{XY} ≅ \stackrel\frown{YZ}

⇒ ∠XOY ≅ ∠ZOY

\overline{XO} ≅ \overline{ZO} since they are both a radius

\overline{OY} ≅ \overline{OY} based on reflexive property

∴ ΔXOY ≅ ΔZOY by SAS

So, \overline{XY} ≅ \overline{ZY} by CPCTC

ZY = 10.2 is given

so, XY = 10.2 by substitution property


4 0
3 years ago
72 inches equals blank yards
yarga [219]
72 inches equals 2 yards.
7 0
2 years ago
Read 2 more answers
Please help me with this
Zolol [24]

Answer:

294.5 m²

Step-by-step explanation:

shaded region = area of major sector + area of triangle

central angle of major sector = 360° - 130° = 230°

area of sector = area of circle × fraction of circle

A = π × 11.1² × \frac{230}{360}

   = \frac{x11.1^2(230)\pi }{360} ≈ 247.3 m²

area of triangle = 0.5 × 11.1 × 11.1 × sin130° ≈ 47.2 m²

shaded area = 247.3 + 47.2 ≈ 294.5 m²

7 0
2 years ago
Read 2 more answers
Other questions:
  • STVU is an isosceles trapezoid. If SV = 6x - 5 and TU = 2x + 7, find the value of x.<br>x=3
    13·1 answer
  • Casey said that 0.03 × 1000 is 3 explain why Casey's answer is not correct. What mistake do you think he made ?
    11·2 answers
  • During a phone call, Beyunka was told of the most recent transactions in her company's business account. There were deposits of
    8·1 answer
  • What is the slope of this line​
    7·1 answer
  • In a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to
    14·2 answers
  • Blocking in experimental design is useful because it:
    15·2 answers
  • Plan help with one I really need it
    12·1 answer
  • Two-thirds of the buses in the transit system run on natural gas, and the rest run on diesel. If 738 of the buses run on diesel,
    10·1 answer
  • Solve. Justify your responses.<br> Use statement and reason to justify
    12·1 answer
  • BRAINLIEST + FOLLOW FOR QUICKEST ANSWER
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!