All categories

3 years ago

a bookshelf holds 4 different biographies and 5 different novels. How many ways can one book of each type be selected?

Mathematics

1 answer:

Mandarinka [93]3 years ago

8 0

Try 4!5! = 24*120 = 2880 different ways

You might be interested in

Find the length of the shorter leg of a right triangle with the longer leg is 9 feet more than the shorter leg the hypotenuse is

Jobisdone [24]

Answer:

Length of Shorter leg = 27 feet

Length of Longer leg = 36 feet

Length of Hypotenuse = 45 feet

Step-by-step explanation:

Given:

Let,

Length of Shorter leg = x,

According to the given condition we have

∴ Length of Longer leg = x + 9 feet

∴ Length of Hypotenuse = 2x - 9 feet

To Find:

Length of Shorter leg = ?

Solution:

Now In Right Angle Triangle, By Pythagoras theorem we have

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

substituting the given values we get

$(2x-9)^{2} = (x)^{2}+(x+9)^{2}\\$

By using Identity (A ± B)² = A² ± 2AB +B² we get

$4x^{2} -36x+81=x^{2} +(x^{2} +18x+81)\\\\4x^{2} -2x^{2} -36x-18x=81-81\\\\2x^{2} -54x=0\\2x(x-27)=0\\2x=0 or x-27=0\\\therefore x\ cannot\ be \ zero\\\therefore x = 27 \feet$

Substituting x=27 we get

∴ Length of Longer leg = x + 9 =27 +9 = 36 feet

∴ Length of Hypotenuse = 2x - 9 = 2×27 -9 = 45 feet

7 0

2 years ago

Need help???!!!!!!!!!!!!!!!

solong [7]

Answer:

Step-by-step explanation:

because it makes sense

5 0

2 years ago

Read 2 more answers

Find the measures of the angles of a triangle of the measure of one angle is three times the measure of a second angle and the t

Vinil7 [7]

Answer:

hii

x=30

Step-by-step explanation:

x+3x+5x-90=180

9x=270

x=30

5 0

2 years ago

You need 2b cups of flour for making b loaves of bread. You have 8 cups of flour . Do you have enough for 5 loafs of bread?Expla

lubasha [3.4K]

Answer:

No. I don't have enough Flour to make 5 loaves of bread.

From the Amount of flour i had i can make 4 loaves only.

Step-by-step explanation:

Given:

Flour required for making loaves of bread = $2b$ cups

Amount of flour i had = 8 cups

Number of loaves of bread = $b$

We need to find the we have enough flour to make 5 loafs of bread.

Solution:

We know that;

Amount of flour I had is equal to Flour required for making loaves of bread

framing in equation form we get;

$2b=8$

Dividing both side by 2 we get;

$\frac{2b}{2} =\frac{8}{2}$

$b=4$

Hence From the Amount of flour i had i can make 4 loaves only.

Hence I don't have enough Flour to make 5 loaves of bread.

3 0

2 years ago

Exercise 1: Solve the follo<br> a) 3x + 5 = 36<br><br> What’s the answer

Dafna11 [192]

Step-by-step explanation:

3x + 5 = 36

3x = 36 - 5 = 31 (subtract 5 on both sides)

3x = 31

x = 31/3 (divide 3 on both sides)

Hence x = 31/3.

5 0

2 years ago