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LenaWriter [7]
3 years ago
15

How do you turn these in to an inequality

Mathematics
1 answer:
Kaylis [27]3 years ago
7 0
Hope this helps.
Sorry for my bad handwriting.

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A rancher has 200 feet of fencing to enclose two adjacent corrals
Arturiano [62]

Answer:

a) Each corral should be 33⅓ ft long and 25 ft wide

b) The total enclosed area is 1666⅔ ft²

Step-by-step explanation:

I assume that the corrals have identical dimensions and are to be fenced as in the diagram below

Let x = one dimension of a corral

and y = the other dimension

 

(a) Dimensions to maximize the area

The total length of fencing used is:

4x + 3y = 200

4x = 200 – 3y

x = 50 - ¾y

The area of one corral is A = xy, so the area of the two corrals is

A = 2xy

Substitute the value of x

A = 2(50 - ¾y)y

A = 100 y – (³/₂)y²

This is the equation for a downward-pointing parabola:

A = (-³/₂)y² + 100y

a = -³/₂; b = 100; c = 0

The vertex (maximum) occurs at  

y = -b/(2a)  = 100 ÷ (2׳/₂) = 100 ÷ 3 = 33⅓ ft  

4x + 3y = 100

Substitute the value of y

4x + 3(33⅓) = 200

4x + 100 = 200

4x = 100  

x = 25 ft

Each corral should measure 33⅓ ft long and 25 ft wide.

Step 2. Calculate the total enclosed area

The enclosed area is 50 ft long and 33⅓ ft wide.

A = lw = 50 × 100/3 = 5000/3 = 1666⅔ ft²

6 0
3 years ago
Solve the equation for x. 10x= 120​
Dominik [7]

Answer:

x = 12

Step-by-step explanation:

10x = 120                 original equation

10x/10 = 120/10       divide both sides by 10

x = 12                       simplify

Check work:

10(12) = 120

120 = 120 (true)

6 0
2 years ago
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If one rectangular solid with dimensions of 6 x 6 x10 millimeters is stacked on top of an identical rectangular solid so that th
ollegr [7]

Answer: 720

Step-by-step explanation: took the test

8 0
3 years ago
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10.There are 476 students at Jackson School.They are all going on a field trip along with 35 additional sponsors (teachers and p
aleksklad [387]

Answer:

9 buses

Step-by-step explanation:

There are 476 students plus 35 sponsors

476+35=511

The bus holds 60 people the answer is 511 divided 60 = 8.5 so 9 bus..

5 0
3 years ago
The absolute values of two numbers that are additive inverses will ____________ be the same.
zhannawk [14.2K]

Answer:

A number and its additive inverse are always the same distance from zero, and so they have the same absolute value.

Step-by-step explanation:

Hope this helps!!

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