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stepladder [879]

2 years ago

5

A motorist travels 122 km before his first stop. If he had 10% of his journey to complete at this point, how long was the total

ride

1 answer:

dimaraw [331]2 years ago

5 0

Answer:

233km

Step-by-step explanation:

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A rancher wants to fence in an area of 1500000 square feet in a rectangular field and then divide it in half with a fence down t

VLD [36.1K]

Answer:

6000 ft

Step-by-step explanation:

Let length of rectangular field=x

Breadth of rectangular field=y

Area of rectangular field= $1500000$ square ft

Area of rectangular field= $l\times b$

Area of rectangular field= $x\time y$

$1500000=xy$

$y=\frac{1500000}{x}$

Fencing used ,P(x)= $x+x+y+y+y=2x+3y$

Substitute the value of y

P(x)= $2x+3(\frac{1500000}{x})$

$P(x)=2x+\frac{4500000}{x}$

Differentiate w.r.t x

$P'(x)=2-\frac{4500000}{x^2}$

Using formula: $\frac{dx^n}{dx}=nx^{n-1}$

$P'(x)=0$

$2-\frac{4500000}{x^2}=0$

$\frac{4500000}{x^2}=2$

$x^2=\frac{4500000}{2}=2250000$

$x=\sqrt{2250000}=1500$

It is always positive because length is always positive.

Again differentiate w.r.t x

$P''(x)=\frac{9000000}{x^3}$

Substitute x=1500

$P''(1500)=\frac{9000000}{(1500)^3}>0$

Hence, fencing is minimum at x=1 500

Substitute x=1 500

$y=\frac{1500000}{1500}=1000$

Length of rectangular field=1500 ft

Breadth of rectangular field=1000 ft

Substitute the values

Shortest length of fence used= $2(1500)+3(1000)=6000 ft$

Hence, the shortest length of fence that the rancher can used=6000 ft

3 0

4 years ago

4-2(x+7)=3(x+5) using the equation solver

Viefleur [7K]

Answer:

x = -5

Step-by-step explanation:

We don't know what equation solver you're supposed to use. Here are the results from one available on the web.

8 0

3 years ago

Read 2 more answers

(PLEASE HELP ME WITH THIS QUESTION)

Romashka [77]

Answer:

B is your answer

Step-by-step explanation:

have a great day!

mark me brainliest to be happy

5 0

3 years ago

Apply the properties of operations to find an equivalent expression for finding the total cost of the clothes.

lora16 [44]

Answer: 1.The total cost = 4x + 2y

2.The total cost = 2y + 4x

3.The total cost = 6x + 4y

4.The total cost = 4y + 6x

Step-by-step explanation: mark me brailyest and like aslo follow

6 0

2 years ago

Clark's weight is increasing these days if it's weight increases by 2 kg mg every 4 months how many kilograms of weight will he

ycow [4]

Answer:

8kg

Step-by-step explanation:

4m=2kg

16m=?

=16m×2

=32

=32÷4

=8kg

Hope this will help ya!

6 0

3 years ago