A zoo keeper wants to fence a rectangular habitat for goats. The length of the habitat should be at least 80 feet, and the perimeter of the habitat should be no more than 300 feet. a. Write and graph a system of linear inequalities

b. Write two possible solutions:

Answers

Answer 1

Answer:

In inequality system, for the zoo keeper fencing, the greater than sign used for at least word of habitat length and less then sign used for no more than word.

a) The system of inequalities for the given problem is,

$x\geq80$
$y\leq-x+150$
The graph which shows the inequalities of is attached below.
b) The dimensions for two possible solution are 90 ft by 20 ft and 110 ft by 30 ft.

What is linear inequality system?

Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs. The system having linear inequality equations is called the linear inequality system.

Given information-

The length of the habitat should be at least 80 feet.

The perimeter of the habitat should be no more than 300 feet.

Suppose $x$ is the length of the rectangular habitat and $y$ is the width of the rectangular habitat.

As the length of the habitat should be at least 80 feet. Thus the value of $x$ should be more than or equal to the 80 feet. Therefore,

$x\geq80$

Perimeter of the rectangle is twice the sum of length and width. As the perimeter of the habitat should be no more than 300 feet. Thus,

$2(x+y)\leq300\n2x+2y\leq300\ny\leq-x+150$

Hence, the system of inequalities for the given problem is,

$x\geq80$

$y\leq-x+150$

The graph which shows the inequalities of is attached below.

As in the graph attached below shown the area which can be gives the solution for the given system. We take two points as, (90,20)and (110,30).

Thus the dimensions for two possible solution are 90 ft by 20 ft and 110 ft by 30 ft.

Hence,

a) The system of inequalities for the given problem is,
$x\geq80$
$y\leq-x+150$
The graph which shows the inequalities of is attached below.
b) The dimensions for two possible solution are 90 ft by 20 ft and 110 ft by 30 ft.

Learn more about the linear inequality system here;

brainly.com/question/17724536

Answer 2

Answer: a. Write and graph a system of linear inequalities
Here's the equation of a system of linear inequalities.
x >= 80
2x + 2y <= 300 -----> y <= -x + 150

For the graph, it is attached as image.

b. Write two possible solutions:These are the two possible solutions to the given equation of linear inequality.

90 feet by 20 feet
110 feet by 30 feet.

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Multiply.

1/4 x 32 =

Answers

The multiplication of the whole number (32) and fraction (1/4) is 8.

What is multiplication?

Multiplication is an arithmetic operation that combines two or more numbers to find their total or product.

It is the process of repeated addition or scaling up a number by a factor. In multiplication, the numbers being multiplied are called factors, and the result is called the product.

The given numbers to be multiplied;

1/4 x 32 =

The multiplication of the whole number (32) and fraction (1/4) is calculated as follows;

1/4 x 32 = (1 x 32 ) / 4

= 32 / 4

= 8

Thus, the multiplication of the whole number (32) and fraction (1/4) is 8.

Learn more about multiplication here: brainly.com/question/10873737

#SPJ6

simply change 1/4 to a decimal
1/4 = 0.25
now we can multiply 0.25 and 32
lets do the math:)
0.25 x 32 = 8
your answer = 8

When in doubt, eat a pineapple :)

Lila lives in a house that is 12 meters below sea level. Lila goes to school every day, which is 6 meters above sea level. How many meters does Lila travel, in altitude, when going from home to school?

Answers

Answer:

18 meters

Step-by-step explanation:

12 + 6 = 8

Simplify 28 over 35

Answers

4 / 5
use the 7 to reduce each numer of the fraction

if we simplify 28/35 it will equal 4/5. You use the Greatest Common Factor to divide it which is 7 and it will equal 4/5

What is the area of the figure?

Answers

First solve for 16x20. 16*20= 320 inches. Now subtract the area that is removed, the 8x8 square. 8*8=64. 320-64=256. Our answer is 256in^2.

What is the volume of the right prism? 5 cm 10 cm 6 cma.2250 cm3
b.1500 cm3
c.150 cm3
d.25 cm3

Answers

I will just give you the answer because I do not feel like explaining it oh what the heck I will do it any ways! it is c because it is LxWxH= your answer that is why it is c

What is the 10th term of the pattern with general rule 6n + 11?