I really will appreciate it if someone helped me on problem 8

The rabbit population in a forest area grows at the rate of 9% monthly. if there are 270 rabbits in july, find how many rabbits

sukhopar [10]

We will do multiplication, 270x0.9 to find out how many rabbits grow in the area each month. Using that number we will multiply it by 12 because the problem is asking us to find the number of rabbits grown in the are in one year. Our final answer would be 292.

5 0

3 years ago

What is the probability that both ties he chooses are solid white

4vir4ik [10]

Answer:

$\frac{1}{25}$

Step-by-step explanation:

Total outcome is 10

Favorable outcome is 2

The probability to choose solid white tie is $\frac{1}{5}$

The probability that both ties he chooses are solid white is

$\frac{1}{5}$ × $\frac{1}{5}$ = $\frac{1}{25}$

3 0

3 years ago

1. Find the slope of the line that goes through the points (2, 5) and (6, 7)

ella [17]

Answer:

$\displaystyle m = \frac{1}{2}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Identify

Point (2, 5)

Point (6, 7)

Step 2: Find slope m

Substitute in points [Slope Formula]: $\displaystyle m = \frac{7-5}{6-2}$
[Fraction] Subtract: $\displaystyle m = \frac{2}{4}$
[Fraction] Simplify: $\displaystyle m = \frac{1}{2}$

7 0

3 years ago

Um homem está localizado a 300 m de uma estrada linear (reta). Nessa estrada está localizada a sua esposa a 500 m do homem. Ambo

lukranit [14]

Answer:

The distance of the restaurant from the man and woman = 312.5 m

Option C is correct.

A distância do restaurante do homem e da mulher = 312,5 m

A opção C está correta.

Step-by-step explanation:

English Translation

A man is located 300 m from a linear (straight) road. On that road his wife is located 500 m from the man. Both walk towards a restaurant that is on the road and is the same distance from the two. What is this distance in meters?

A) 400m

B) 300m

C) 312.5m

D) 325m

E) 87.5m

Solution

A diagram showing the scenario described, is presented the attached image.

From the attached image, x is the distance of the restaurant from both the man and the woman. So, there are two right angled triangles,

- The bigger one with hypotenuse 500 m and other side 300 m, the third side is calculated as

(Third side)² = 500² - 300² = 160000

Third side = 400 m

- The smaller right angled triangle, with hypotenuse x m and other sides 300 m & (400 - x) m

(400 - x)² + 300² = x²

160000 - 800x - x² + 90000 = x²

800x = 160000 + 90000 = 250000

x = (250000/800) = 312.5 m

Hence, the distance of the restaurant from the man and woman = 312.5 m

In Portugese/Em português

Um diagrama mostrando o cenário descrito é apresentado na imagem em anexo.

Na imagem em anexo, x é a distância do restaurante do homem e da mulher. Então, existem dois triângulos retângulos,

- Quanto maior com hipotenusa 500 me outro lado 300 m, o terceiro lado é calculado como

(Terceiro lado) ² = 500² - 300² = 160000

Terceiro lado = 400 m

- O triângulo angular direito menor, com hipotenusa x me outros lados 300 m & (400 - x) m

(400 - x)² + 300² = x²

160000 - 800x - x² + 90000 = x²

800x = 160000 + 90000 = 250000

x = (250000/800) = 312.5 m

Portanto, a distância do restaurante do homem e da mulher = 312,5 m

Hope this Helps!!!

Espero que isto ajude!!!

4 0

3 years ago

Find the distance between the points ( - 9, - 12) and (18, - 12)

ANTONII [103]

Hello from MrBillDoesMath!

Answer:

27

Discussion:

By the distance formula (or Pythagorean theorem)

distance = sqrt ( (change in x)^2 + (change in y)^2)

In our case this becomes

distance = sqrt ( (18 - (-9) )^2 + (-12 - ( -12))^2)

= sqrt ( ( 18 + 9) ^2 + ( -12 + 12) ^ 2)

= sqrt ( ( 18 + 9) ^2 + 0^2 )

= sqrt ( 27^2)

= 27

Geometrically, as both y coordinates = -12, the points define a horizontal line segment. The length is then simply the difference of the x coordinates, 18 - (-9) = 18 +9 = 27. Same answer as before

Thank you,

MrB

4 0

3 years ago