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ollegr [7]
3 years ago
9

She wants to create a rectangular area of 1,600 square feet for her pet and can afford to purchase 160 feet of fence. In two or

more complete sentences, explain the algebraic model, calculations and reasoning necessary to determine the dimensions of the rectangular area.
Mathematics
1 answer:
kap26 [50]3 years ago
8 0

Answer: x = 40  and  y = 40

Step-by-step explanation:

We can write the equation for the area as: x*y = 1600

We can write the equation for the perimeter as: 2x + 2y = 160

An easy way to solve a question like this is to graph both equations on a graphing calculator, if you don't have one on you you can use Desmos

Graph both: y = 1600/x

                             and

                     y =  80 - x

Turns out you get x = 40 and y = 40

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Please answer quickly I only have 5 mins lol. The ratio of students polled in 6th grade who prefer lemonade to Iced tea is 8:4,
zhannawk [14.2K]

Answer:

Let total students who prefer lemonade is 2a and who prefer ice tea is a.

Students in 6th grade=39

2a+a=39

3a=39

a=39/3

a=13

students who prefer lemonate is 13

and those who prefer ice tea is 2a=26

4 0
3 years ago
Find the number of roots for each equation.<br> 5. 5x4 + 12x3 – x2 + 3x + 5 = 0
pav-90 [236]

Answer:

The number of roots for  equation 5x^4 + 12x^3 – x^2 + 3x + 5 = 0 is 4 .

Step-by-step explanation:

Here, the given function polynomial is :

P(x) : 5x^4 + 12x^3 – x^2 + 3x + 5 = 0

The Fundamental Theorem of Algebra says that a polynomial of degree n will have exactly n roots (counting multiplicity).

Now here, the degree if the polynomial is 4 (highest power of variable x).

So, according to the Fundamental Theorem, the given polynomial can have AT MOST 4 roots, counting Multiplicity.

Hence,  the number of roots for  equation 5x^4 + 12x^3 – x^2 + 3x + 5 = 0 is 4 .

7 0
3 years ago
Suppose that the number of cars manufactured at an automobile plant varies Jointly as the number of workers and the time they wo
12345 [234]

Answer:

It takes 33 hours to produce 66 cars.

Step-by-step explanation:

When dividing 220 workers buy the amount of cars produced the amount of time spent on making 66 cars is 33 hours.

Easier Explaination:

Divide the amount of workers to the cars produced to find out how many hours it takes.

7 0
3 years ago
The dimensions (width and length) of room1 have been read into two variables : width1 and length1 . The dimensions of room2 have
Lorico [155]

Answer:

Total area of the two rooms   =   (width1length1) +   (width2length2)

Step-by-step explanation:

The area of the rectangular shape is given by = Length * breadth

Therefore the area of the two rooms can be calculated using the above formula when the variables lengths and widths are given.

Area 1= Area of the first room = length * breadth=  (width1length1)

Area 2=Area of the second room = length * breadth=  (width2length2)

Total area of the two rooms = Area1 + Area 2

                                         =   (width1length1) +   (width2length2)

5 0
3 years ago
Please someone help me with this problem?
yKpoI14uk [10]
X=B^1 + b^7 . i found my answer by you need to find the slope of the numbers between the table.
4 0
3 years ago
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