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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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a rectangular plot of ground is 30 meters longer than it is wide. its area is 15,00 square meters. what equation will help you f
e-lub [12.9K]
Length(width + 30)=15,000 square meters, so the equation is l(w+30)=15,000, either 15,000 or 1,500 i cannot tell which number you were meaning to say because of where your comma is placed.
4 0
3 years ago
Carmen is painting a wall that is 26 feet by 16 feet. What is the perimeter on the wall , in inches?
strojnjashka [21]
26×2=52
16×2=32
52+32=84
Perimeter=84
8 0
2 years ago
Read 2 more answers
How many diagonals can you draw from<br> one vertex in a polygon with 35 sides?
damaskus [11]

Answer: 32

Step-by-step explanation:

#of sides - 3 is 35-3=32

3 0
3 years ago
Which is true about equivalent fractions?
11Alexandr11 [23.1K]
They have the same value even though their numerator and denominator are different. For example, 8/16 and 1/2 are equivalent fractions which both represent 0.5.
3 0
3 years ago
Thomas took three 100-point quizzes, and the mean score for the three quizzes was 87 points. If the highest score is taken away,
Olegator [25]

Answer:

The highest score is 94.

Step-by-step explanation:

Let the highest score be denoted by, <em>A</em>, the lowest score be, <em>B</em> and the middle score be <em>X</em>.

Then,

A + X + B = 87 × 3 = 261 ...(i)

X + B = 83.5 × 2 = 167 ...(ii)

⇒ B = 167 - X ...(iii)

A + X = 89 × 2 = 178 ...(iv)

⇒ A = 178 - X ...(v)

Substitute (iii) and (v) in (i) and solve for <em>X</em> as follows:

A + X + B = 261

178 - X + X + 167 - X = 261

345 - X = 261

X = 84

Substitute the value of <em>X</em> in (iii) and solve for B as follows:

B = 167 - X

   = 167 - 84

   = 83

Substitute the value of <em>X</em> in (v) and solve for A as follows:

A = 178 - X

   = 178 - 84

   = 94

Thus, the highest score is 94.

5 0
2 years ago
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