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
kati45 [8]
2 years ago
5

For a given set of rectangles, the length is inversely proportional to the width. In one of these rectangles, the length is 58 a

nd the width is 3. For this set of rectangles, calculate the width of a rectangle whose length is 2.
Mathematics
1 answer:
goldfiish [28.3K]2 years ago
7 0

Answer:

The width is 87

Step-by-step explanation:

Given

Represent Length with L and Width with W

Variation: Inverse Proportion

L \alpha \frac{1}{W}

L = 58; W = 3

Required

Solve for W when L = 2

First, we need to determine the constant of variation

L \alpha \frac{1}{W}

L = \frac{k}{W}

Where

k = constant of variation

Substitute the following values: L = 58; W = 3

58 = \frac{k}{3}

Solve for k

k = 58 * 3

k = 174

To solve for W when L = 2, we simply substitute values for L and K in the expression L = \frac{k}{W}

2 = \frac{174}{W}

Solve for W

2 * W = 174

2 W = 174

W = 174/2

W = 87

<em>Hence, the width is 87</em>

You might be interested in
What should be the first step to solve the equation? <br> 2x + 9(x – 1) = 8(2x + 2) – 5
alexira [117]

Answer: The first step to solving this equation would be to use the distributive property to execute the parentheses.

5 0
3 years ago
Find the sum or difference<br><br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B10%7D%20-%20%20%5Cfrac%7B3%7D%7B10%7D%20
Paraphin [41]

Answer:

0.2

Step-by-step explanation:

Or 2/10. is that right?

5 0
3 years ago
Find a pair of numbers that is a member of both x=1+1y and x=36-4y
ycow [4]

Answer:

y=7, x=8

Step-by-step explanation:


5 0
3 years ago
Find the inverse of the given function.<br><br> f(x) = -1/2√x + 3, x ≥ -3
inna [77]
<span>Find the inverse of the given function.

f(x) = -1/2√x + 3, x ≥ -3

I will have to assume that you meant f(x) = -(1/2)sqrt(x) + 3.  If you actually meant f(x) = -(1/2)sqrt(x+3), then obviously the correct result would be different.

1.  Replace "f(x)" by "y:"  y </span>= -(1/2)sqrt(x) + 3
 2.  Interchange x and y:  x = -(1/2)sqrt(y) + 3
3.  Solve for y:  x-3=-(1/2)sqrt(y), so that 2(3-x)= sqrt(y) and y=+sqrt(2[3-x])
4.  Replace "y" with 

           -1
        f      (x) = sqrt(2[3-x])

Here, there are restrictions on x, since the domain of the sqrt function does not include - numbers.  The domain here is (-infinity,3]
4 0
3 years ago
Read 2 more answers
Arthur weighs 34 lb more than Lily. Their combined weight is 180 lbs less than four times Lily's weight. How much does Arthur we
mote1985 [20]
X = Lilys weight
x + 34 = Arthurs weight
4x - 180 = combined weight

x + x + 34 = 4x = 180
2x + 34 = 4x - 180
-2x           -2x
_________________
        34 = 2x -180
     +180        + 180
_______________
       214 = 2x
        107  = x  which is Lily's weight
         141 = x + 34 which is Arthur's weight
The total weight is 248

which is the answer that you get when you do 4(107) = 180 or
428 -180 = 248

5 0
2 years ago
Other questions:
  • Ms. Lowery baked cupcakes. She added 1/2 cup of sugar to the cupcake batter and then divided the batter into the 12 sections of
    6·1 answer
  • Which person will be able to pay their dues for more months, assuming neither person deposits more money into their account? Exp
    15·1 answer
  • (5.67x - 8.16)+(3.6x + 9.2)<br> you dont have to find x you only have to simplify it
    5·1 answer
  • 45/4 simplified what is the answer
    11·1 answer
  • Twenty less than eight times a number is seventy six
    7·1 answer
  • First grade children have heights that are normally distributed about a mean of 37 inches and a standard deviation of 2 inches.
    9·1 answer
  • Plz help will mark brainliest if correct answer only ​
    14·1 answer
  • Am I doing this right ?
    12·2 answers
  • Daniel expanded the expression as shown -3(-8x-4y+3/4)=10x-8y-1 1/4 what areas did he make like three options
    14·1 answer
  • Use the Distributive Property. (2x - 5)5
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!