All categories

3 years ago

ASAP!! PLEASE I NEED HELP!!

Mathematics

1 answer:

sergey [27]3 years ago

7 0

Answer:

If the length is 50 yd, the width is 60 yd.

If the length is 40 yd, the width is 75 yd.

If the length is 48 yd, the width is 62.5 yd.

If the length is 36 yd, the width is 83.33 yd.

The length and the width vary inversely because when the length decreased the width increased

Step-by-step explanation:

The area of any rectangle A = L × W, where

L is its length
W is its width

The relation is direct proportion if the quotient of two quantity equals constant (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)

∵ The area of the rectangular plot of land = 3000 yards²

∴ A = 3000

∵ Its length = 50 yards

∴ L = 50

→ Substitute them in the rule above to find W

∵ 3000 = 50 × W

→ Divide both sides by 50 to find W

∴ 60 = W

∴ The width of the plot is 60 yards

∵ Its length = 40 yards

∴ L = 40

→ Substitute them in the rule above to find W

∵ 3000 = 40 × W

→ Divide both sides by 40 to find W

∴ 75 = W

∴ The width of the plot is 75 yards

∵ Its length = 48 yards

∴ L = 48

→ Substitute them in the rule above to find W

∵ 3000 = 48 × W

→ Divide both sides by 48 to find W

∴ 62.5 = W

∴ The width of the plot is 62.5 yards

∵ Its length = 36 yards

∴ L = 36

→ Substitute them in the rule above to find W

∵ 3000 = 36 × W

→ Divide both sides by 36 to find W

∴ 83. 33 = W

∴ The width of the plot is 83.33 yards

∵ The area is a constant value

∵ A = LW

→ The product of L and W equals the constant value, can you discover

that from the values of L and W

∴ The length and the width of the rectangular plot vary inversely

You might be interested in

12 things that has energy

Lapatulllka [165]

Answer: Kinetic Energy Potential Energy Chemical Energy Elastic Energy Gravitational Energy Magnetic Energy Nuclear Energy Light Energy Radiant Energy Sound Energy Thermal Energy Mechanical Energy Electrical Energy

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z. The demand for Model Z depen

grin007 [14]

The ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

<h3>What is a mathematical model?</h3>

A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.

Consider a fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z.

The demand for Model Z depends on the gasoline price (q) because customers tend to purchase an electronic vehicle as a substitute for vehicles that run on gasoline when the gasoline price increases.

The demand for Model Z is estimated as

$D(p) = 180 + 10q - 4p$

Here, p is the price of Model Z.

Consider the following two statements:

1. When the average gasoline price q increases by $1, the revenue-maximizing price p" increases by $X.

$D(p) = 180 + 10q - 4p\\D(p) = 180 + 10(q+1) - 4(p+X)$

2. When the average gasoline price q increases by $1, the demand at the revenue-maximizing price (i.e., D(p*)) increases by a factor of Y.

$D(p)+Y = 180 + 10q - 4p\\(D(p)+Y) = 180 + 10(q+1) - 4(p+X)\\Y= 180 + 10(q+1) - 4(p+X)-D(p)\\$

Put the value of demand at the revenue-maximizing price as,

$Y= 180 + 10(q+1) - 4(p+X)-(180 + 10q - 4p)\\Y= 180 + 10q+10 - 4p-pX-180 - 10q + 4p\\Y= 10 -pX\\1=\dfrac{10}{Y}-\dfrac{pX}{Y}\\\dfrac{10}{Y}=\dfrac{pX}{Y}\\\dfrac{10}{pY}=\dfrac{X}{Y}$

Thus, the ratio X/Y for the fictitious company, Teslala, that produces a single type of electronic vehicle, Model Z is 10/pY.

Learn more about the mathematical model here;

brainly.com/question/4960142

#SPJ1

5 0

2 years ago

Calvin encoded a secret phrase using matrix multiplication. Using A = 1, B = 2, C = 3, and so on, he multiplied the clear text c

Vlad1618 [11]

Our matrix C is the encoder. Let X be our secret message and let B be our encoded message. Therefore the relationship between the 3 can be represented as:

CX = B

So we want to solve for X (our secret message). So using matrix algebra:

X = C^-1*B
where C^-1 is the inverse of C.

C^-1 = | 3 -2 |
|4 -3 |

So we take C^-1 and multiply it by matrix B to get X. Matrix B is already given to us. So just multiply those two. I used a calculator to get:

X = | 20 8 5 3 15 12 15 |
| 18 9 19 2 12 21 5 |

And since A = 1, B = 2, C = 3, etc....

We decode our message and it says:

X = | T H E C O L O |
| R I S B L U E |

So the answer is: The color is blue (D)

8 0

3 years ago

If y = x^2 and dx/dt = 3, what is dy/dt when x = -1

nadezda [96]

If x = y^3 - y and dy/dt = 5, then what is dx/dt when y = 2? 10. A balloon is rising vertically above a level, straight ...

5 0

3 years ago

1. Define: (1) factor (ii) multiple. Give five examples of each.it

sineoko [7]

Answer:

A factor is a number that when its multiplied with another number, gives a product of a given number. Example: The factors of 21 are 7,3,1 and 21. A multiple is a number that can be divided by another number a certain amount of times evenly (without a remainder). Example: Some multiples of 4 are: 8, 12, 16, and 20.

5 0

3 years ago