Simplify sqrt8/5sqrt8

Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the lett

Jobisdone [24]

Answer:

(a) 720 ways

(b) 120 ways

(c) 24 ways

Step-by-step explanation:

Given

$Word = DANCER$

$n =6$ --- number of letters

Solving (a): Number of arrangements.

We have:

$n =6$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =6!$

This gives:

$Total =6*5*4*3*2*1$

$Total =720$

Solving (b): DA as a unit

DA as a unit implies that, we have:

[DA] N C E R

So, we have:

$n = 5$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =5!$

This gives:

$Total =5*4*3*2*1$

$Total =120$

Solving (c): NCE as a unit

NCE as a unit implies that, we have:

D A [NCE] R

So, we have:

$n = 4$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =4!$

This gives:

$Total =4*3*2*1$

$Total =24$

8 0

3 years ago

John had to pay a combined electric and gas bill $150. The electric portion of the bill was $90. What is the ratio of money spen

tatuchka [14]

Given:

John had to pay a combined electric and gas bill $150.

The electric portion of the bill was $90.

To find:

The ratio of money spent on electric to that on gas.

Solution:

Let x be the amount of gas bill.

The electric portion of the bill was $90 and John had to pay a combined electric and gas bill $150. So,

$90+x=150$

$x=150-90$

$x=60$

The gas portion of the bill was $60.

The ratio of money spent on electric to that on gas is:

$\text{Required Ratio}=\dfrac{\text{Electric bill}}{\text{Gas bill}}$

$\text{Required Ratio}=\dfrac{90}{60}$

$\text{Required Ratio}=\dfrac{3}{2}$

$\text{Required Ratio}=3:2$

Therefore, the ratio of money spent on electric to that on gas is 3:2.

7 0

3 years ago

you were overcharged $4.52 on your cellphone bill 3 months in a row the cell phone company says that it will add -$4.52 to your

babymother [125]

im pretty sure the last bill you would have been $13.52. but i could be wrong

5 0

3 years ago

WILL GIVE BRAINLIEST FASTTTTT

Stells [14]

Answer: (x−2)(x−2)

The middle number is -4 and the last number is 4.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get -4

Multiply together to get 4

Can you think of the two numbers?

Try -2 and -2:

-2+-2 = -4

-2*-2 = 4

Fill in the blanks in

(x+_)(x+_)

with -2 and -2 to get...

(x-2)(x-2)

Answer:

(x−2)(x−2)

so the answer is D.

6 0

3 years ago

The radius of a wheel is 21m.how much distance will it covers when it rotates 5 times?

mrs_skeptik [129]

Answer:

Distance = 660 meters

Step-by-step explanation:

Given the following data;

Radius, r = 21 m

Number of revolutions = 5 times

To find the distance covered;

The distance covered in one revolution is given by the circumference of a circle.

Mathematically, circumfeence of a circle is equal to;

C = 2πr

Substituting into the formula, we have;

C = 2 * 22/7 * 21

C = 44 * 3

C = 132 meters

Next, we find the distance covered;

Distance = Circumference * Number of revolutions

Distance = 132 * 5

Distance = 660 meters

8 0

3 years ago