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2 years ago

Can somebody help me solve this inequality it’s kinda hard for me to solve

Mathematics

1 answer:

Kitty [74]2 years ago

4 0

Answer:

54 chickens

Step-by-step explanation:

This problem requires you find the area of Thomas's field, then use that area to find the number of chickens he can keep. The irregularly-shaped field can be considered as composed of shapes that you know how to find the area of.

<h3>field area</h3>

There are many ways the area can be divided. One of them is shown in the attachment. That shows the area to be the sum of the areas of a triangle and a trapezoid.

The triangle has a base of 20 m and a height of 7 m, so an area of ...

A = 1/2bh

A = 1/2(20 m)(7 m) = 70 m²

The trapezoid has bases of 11 m and 18 m, and a height of 14 m. Its area is ...

A = 1/2(b1 +b2)h

A = 1/2(11 m +18 m)(14 m) = 1/2(29 m)(14 m) = 203 m²

The area of the field is the sum of these areas:

field area = triangle area + trapezoid area

field area = 70 m² +203 m² = 273 m²

<h3>chickens</h3>

Each chicken requires an area of 5 m², so the total area for n chickens is ...

area for n chickens = 5n . . . . square meters

This area cannot exceed the area of the field, so an inequality can be written:

area for n chickens ≤ field area

5n ≤ 273

n ≤ 54.6 . . . . . . divide by 5

Thomas can keep a maximum of 54 chickens in the field.

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ELEN [110]

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8 0

3 years ago

Read 2 more answers

If u(x) = x5 – x4 + x2 and v(x) = –x2, which expression is equivalent to (u/v)(x)

choli [55]

Answer:

c) -x^3 + x^2 - 1

Step-by-step explanation:

Given: u (x) = x^5 - x^4 +x^2 and v(x) = -x^2

(u/v)(x) = u(x)/v(x)

Now plug in the given functions in the above formula, we get

= (x^5 - x^4 + x^2) / -x^2

We can factorize the numerator.

In x^5 - x^4 + x^2. the common factor is x^2, so we can take it out and write the remaining terms in the parenthesis.

= x^2 (x^3 - x^2 + 1) / - x^2

Now we gave x^2 both in the numerator and in the denominator, we can cancel it out.

(u/v)(x) = (x^3 - x^2 + 1) / -1

When we dividing the numerator by -1, we get

(u/v)(x) = -x^3 + x^2 - 1

Answer: c) -x^3 + x^2 - 1

Hope you will understand the concept.

Thank you.

6 0

4 years ago

Read 2 more answers

Refer to the figure below to complete the following problem.

IRINA_888 [86]

Answer:

Step-by-step explanation:

5x-7=3x+ll

5x=3x+18

2x/2=18/2

x =9

5 x 9 -7 = 36

3 x 9 + 11=36

m D =36

3 0

3 years ago

A high school purchases two workbooks for every textbook, and two journals for every workbook. If the school purchases 301 total

Alex

172 journals 86 workbooks 43 textbooks

5 0

3 years ago

When 23 is subtracted from the square root of three times a number, the result is 16. find the number?

gizmo_the_mogwai [7]

(√3n)-23=16

Put all of the numbers without a variable on the right side of the equation
(√3n)=39

Simplify
<span>1.732051n</span>=<span>39
</span>
Divide 39 by 1.732051
n=<span>22.516658

Round
n=22.5</span>

8 0

3 years ago