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
Select ALL of the trips that would take 2 hours.
Luba_88 [7]

Answer:

The answer, also the only answer, is C.

Step-by-step explanation:

A: 20 is 1/2 of 40, so you would arrive at Seneca Falls in half an hour.

B: Same as a, 2 is 1/2 of 4, so you would also arrive to school in half an hour.

C: 60 is double 30, so it would take two hours to get from Albany to New York City.

5 0
2 years ago
Read 2 more answers
Can you please help me in this question.I need the ASAP
DerKrebs [107]
If an ordered pair is reflected on x-axis, it will result in opposite number of y. If the original y positive, the reflected point of y will be negative.

we can write it as
(x,y) -> reflected to x axis -> (x, -y)

Solution:
(x,-y) = (4.75, -2.25)
(x,y) = (4.75, 2.25)

The original point was (4.75, 2.25)

6 0
3 years ago
Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?
Sonbull [250]

Answer:

-6 < k < 2

Step-by-step explanation:

Given

y = x^2 - 2x

y =kx -4

Required

Possible values of k

The general quadratic equation is:

ax^2 + bx + c = 0

Subtract y = x^2 - 2x and y =kx -4

y - y = x^2 - 2x - kx +4

0 = x^2 - 2x - kx +4

Factorize:

0 = x^2 +x(-2 - k) +4

Rewrite as:

x^2 +x(-2 - k) +4=0

Compare the above equation to: ax^2 + bx + c = 0

a = 1

b= -2-k

c =4

For the equation to have two distinct solution, the following must be true:

b^2 - 4ac > 0

So, we have:

(-2-k)^2 -4*1*4>0

(-2-k)^2 -16>0

Expand

4 +4k+k^2-16>0

Rewrite as:

k^2 + 4k - 16 + 4 >0

k^2 + 4k - 12 >0

Expand

k^2 + 6k-2k - 12 >0

Factorize

k(k + 6)-2(k + 6) >0

Factor out k + 6

(k -2)(k + 6) >0

Split:

k -2 > 0 or k + 6> 0

So:

k > 2 or k > -6

To make the above inequality true, we set:

k < 2 or k >-6

So, the set of values of k is:

-6 < k < 2

3 0
3 years ago
Evaluate the expression when b= -2, b2 +6b +9
Tema [17]

Answer:

1

Step-by-step explanation:

b= -2, b2 +6b +9

=-2(2)+6(-2)+9

=-4-12+9

=4+9-12

=13-12

=1

4 0
3 years ago
The slope is -1: (-4, -1)
IceJOKER [234]

Answer:

4 is the best answer for it

3 0
3 years ago
Other questions:
  • The following values represent linear function ƒ(x) and rational function g(x).
    8·1 answer
  • What is the quotient of 18/1,000?
    8·1 answer
  • According to Masterfoods, the company that manufactures M&amp;M's, 12% of peanut M&amp;M's are brown, 15% are yellow, 12% are re
    13·1 answer
  • Graph the equation to solve the system y= -1/2x +3 y= -1/3x +4
    11·1 answer
  • What is 8 2/4 - 3 2/3
    14·2 answers
  • 55 points for an instant correct answer :)
    12·1 answer
  • In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a = 9 yards and b = 40 yards,
    11·2 answers
  • F (x) = -3 + 7. Find the inverse of f(x) and its domain.
    5·1 answer
  • What is the equation of the line whose y-intercept is 3 and slope is 1?
    8·1 answer
  • If a circle has a circumference of 28.26 units what is the diameter of the circle
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!