Ask question

Ask question

All categories

3 years ago

5

Mr George has $59.75 in his bank account, but then he bought some new ties and some pancakes. After the purchase, he was in debt

$75.10. What is the rational number that shows a change in mr. George’s account balance? Plz I will give you 200 poonts

1 answer:

Bezzdna [24]3 years ago

5 0

-15.35 is the answer I think

You might be interested in

A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it in half with a fence down t

frosja888 [35]

The shortest length of the fence used by the rancher in a rectangular field of 1000000 square feet is 4899 ft.

<h3>What is the area of a rectangle?</h3>

The area of a rectangle is a region enclosed in four corners where two opposite sides are equal. The area of the rectangle is mathematically expressed as:

Area of a rectangle = length(x) × breath(y)

1000000 sq.ft = (x) × (y) ---- (1)

However, to determine the fencing, we have:

Length of fencing = 2x + 2y

since the rectangle has four sides and opposite sides are equal

Suppose we use the x-direction to estimate the region where the fencing is located, we have:

Length of fencing = 2x + 2y + x

Length of fencing = 3x + 2y ---- (2)

From equation (1), make (y) the subject of the formula and replace the value of y with equation (2)

The Length of fencing is:

$\mathbf{L = 3x - 2( \dfrac{1000000}{x})}$

$\mathbf{\dfrac{dL}{dx} = 3 - \dfrac{2000000}{x^2} = 0}$

$\mathbf{ x^2= \dfrac{2000000}{3} }$

$\mathbf{ x= \dfrac{1000\sqrt{2}}{\sqrt{3}} }$

$\mathbf{x = \dfrac{1000 \sqrt{6}}{3}}$

Now, if we replace the value with equation (1), then y will be:

$\mathbf{y = \dfrac{1000000}{\dfrac{1000 \sqrt{6}}{3}} }\\ \\ \\ \\ \mathbf{y = \dfrac{3000 }{\sqrt{6}}}$

$\mathbf{x =500\sqrt{6}}$

Now, the shortest length of the fencing can be computed by using the equation (2):

L = 3x + 2y

$\mathbf{L = 3( \dfrac{1000 \sqrt{6}}{3}) + 2(500 \sqrt{6})}$

$\mathbf{L =1000 \sqrt{6} + 1000 \sqrt{6}}$

$\mathbf{L =2000 \sqrt{6} }$

$\mathbf{L \simeq 4899 \ ft}$

Learn more about the area of a rectangle here:

brainly.com/question/25292087

6 0

1 year ago

Right triangle similarity. what is the value of a?

kramer

Answer:

I'd say that a is 6 2/3 units long

Step-by-step explanation:

4 0

2 years ago

What is the sign of−1.69+(−1.69)

Talja [164]

-1.69+(-1.69)= -3.38

5 0

3 years ago

Read 2 more answers

So far, Monica has read 5/6 of a book. She has read the same number of pages each day for 5 days. What fraction of the book does

german

1/6 lollllllllllllllllllllllllllllll

7 0

2 years ago

Read 2 more answers

PlzplPzlpzlzpzl .......i beg u do this easy question for me ....

jeka94

Answer: $-p^2-(q+r)^2$

Work Shown:

I'm assuming your teacher wants you to factor as much as possible.

$-p^2-q^2-r^2-2qr\\\\-p^2-q^2-2qr-r^2\\\\-p^2-(q^2+2qr+r^2)\\\\-p^2-(q+r)^2\\\\$

In the last step, I used the rule that $(a+b)^2 = a^2+2ab+b^2$

We cannot factor any further. If the first term was $p^2$ instead of $-p^2$ , then we could use the difference of squares factoring rule.

5 0

2 years ago