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larisa86 [58]
3 years ago
14

The lengths of the sides of a rectangle are in a ratio of 4:7. If the length is 31.5 in, find the width, perimeter, and area of

this rectangle.
Mathematics
1 answer:
Blababa [14]3 years ago
6 0

Answer:

L = 31.5 w = (4/7)31.5 = 18 p = 2 * 31.5 + 2 * 18 A = 31.5 * 18

Step-by-step explanation:

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A farmer is going to divide her 30 acre farm between two crops. Seed for crop A costs $5 per acre. Seed for crop B costs $10 per
jenyasd209 [6]

Answer:

30 acres of A

0 acres of B

Step-by-step explanation:

On forming the equations we get

Acres = A+B \leq 30  .............(1)

Seed = 5A + 10B \leq 200 ...........(2)

Profit = 160A+50B

Upon rearranging this we get

A= 30-B     sing equation (1)

A=40-2B   using equation (2)

 On plotting these inequalities on the cartesian planes we will get the following points of intersection (0,20) (20,30) (30,0)

Now using these coordinates (A,B) to get Maximum profit

P= $1000 for (0,20)

P=$4700 for (20,30)

P= $4800 for (30,0)

clearly for (30,0) we will get the maximum profit on the crops

3 0
3 years ago
A rectangle has the length of 2x+7 and the width of 9x find the area and the perimeter
seraphim [82]

Answer:

see explaination

Step-by-step explanation:

length (l) = 2x+7

width (b) = 9x

area of rectangle = l×b

=(2x+7)(9x)

=18x^2+63x

perimeter of rectangle = 2(l+b)

=2(2x+7)(9x)

=2(18x^2+63x)

=36x^2+126x

3 0
2 years ago
According to u.s. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "gi
Pepsi [2]
Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
  V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
  dV/dx = 0 = -12x² +2dx
  0 = -2x(6x -d)
This has solutions
  x = 0, x = d/6

a) The largest possible volume is
  (d/6)²(d -4d/6) = 2(d/6)³
  = 2(108 in/6)³ = 11,664 in³

b) The dimensions of the package with largest volume are
  d/6 = 18 inches square by
  d -4d/6 = d/3 = 36 inches long

8 0
3 years ago
If u go to sleep at 9:30 p.m. and wake up at 6:30a.m. The next morning how long did u sleep
puteri [66]
Well first do this
12.00 - 9.30 = 2.30
2.30 + 6.30 = 9
You slept 9hrs
8 0
3 years ago
Read 2 more answers
What is an itrational number between 5 and 7
wariber [46]
Answer is √35 (square root of 35)

Reason: square root of 35 (which is = 5.9160797831.....) which is a non-terminating decimal, which means it is irrational.

An irrational number is any real number that cannot be expressed as a simple fraction or terminating decimals. There are many answers to this question.
7 0
1 year ago
Read 2 more answers
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