Los lados de un triángulo son x, (x + 1) y (2x − 1) y su área es x√10 ¿Cuál es el valor de x?

1)How many ways can the letters in the word BOOKKEEPER be arranged? (Must show set-up )

sergeinik [125]

Question 1

There are 5 letters (B, O, K, E, R) and there is a total of 10 letters to make up the word.
There are $\frac{10!}{(10-6)!6!}$ ways of arranging the letters, which equal to 210 ways

Question 2

There are seven swimmers in total.
There are $\frac{7!}{(7-1)!1!}$ ways of choosing the first winner, which is 7 ways
There are $\frac{6!}{(6-1)!1!}$ ways of choosing the second winner, which is 6 ways
There are $\frac{5!}{(5-1)!1!}$ ways of choosing the third winner, which is 5 ways
There are 7×6×5=210 ways of choosing first, second, and third winner

Question 3

The probability of eating an orange and a red candy is $\frac{15}{31}$ × $\frac{9}{30}$ , which equals to $\frac{9}{62}$

The probability of eating two green candies is $\frac{7}{31}$ × $\frac{6}{30}$ which equals to $\frac{7}{155}$

3 0

3 years ago

Write an equation for the statement and then solve

Lunna [17]

Answer:

16. 30 * (30+12)/4*(L)*20

17. Volume = 6300 * Length of rectangular prism

Step-by-step explanation:

The width of a rectangular prism is 30 cm. This is 12 more than one-fourth of the length. Find the volume of the prism, given the height is 20 cm.

Let L = length of rectangular prisim W = width and H = height

16.

Volume of a rectangular prism is width * length * height

30 * (30+12)/4*(L)*20

17.

= 30 * (30+12)1/4(L)*20

= 30 * (42/4)*L * 20

= 600 * 10.5 * L

= 6300 * L

Volume = 6300 * Length of rectangular prism

6 0

2 years ago

Allison and her children went into a bakery where they sell donuts for $2 each and cookies for $1 each. Allison has $20 to spend

KATRIN_1 [288]

Answer:

if donuts are 2 for each and cookies for 1 each it could be

X x 2 and X x 1

one equation could be 4 donuts for 2$ and 7 cookies for 1$

8 0

3 years ago

The fourth question please.

garik1379 [7]

Going from the left to the right. 9, 4, 13, 15, 12, 6, 11. The total cost is the sum of these, or $70,000.

8 0

3 years ago

Which of the following figures has a pentagon as its base? A cube B pentagonal prism C triangular prism D rectangular prism

yan [13]

Answer:

Option B. Pentagonal prism

Step-by-step explanation:

Option (A). Cube

Base of a cube is a square.

Option (B). Pentagonal prism

A prism is always defined by its base.

Example: triangular prism, rectangular prism

Therefore, pentagonal prism will have a base in the shape of a pentagon.

Option (C). Triangular prism

Triangular prism will have a triangular base.

Option (D). Rectangular prism

Rectangular prism will have a rectangular base.

4 0

3 years ago

Los lados de un triángulo son x, (x + 1) y (2x − 1) y su área es x√10 ¿Cuál es el valor de x?​

Los lados de un triángulo son x, (x + 1) y (2x − 1) y su área es x√10 ¿Cuál es el valor de x?