How many ways are there to arrange five French club members for a yearbook photo if the president and vice president must be seated in front with the other three members behind them?

Answers

Answer 1

Answer: Since the president and the vice president must be seated in the front, that's two ways already; p-vp, vp-p.

Three other member, let's say their names are Bill, Joe, and Nate.
b-j-n, j-b-n, n-b-j, b-n-j, j-n-b, n-j-b.

6 different combinations.

Multiply 6 by 2,
6 x 2 = 12.

There are 12 different ways.

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The movie Avatar is the number one movie in U.S. history, earning $760,507,625. The second place movie is Titanic, earning $600,788,188. what percent is $600,788,188 of $760,507,625

A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42,000 ft2. What is the width of the parking lot?

Answers

A rectangle, let length=a and width=b

perimeter: a+a+b+b=820

2a+2b=820 --> a+b = 410

Make a or b the subject: a=410-b

Area: ab=42 000 (area of a rectangle, length x width)

Sub a in.

b(410-b) = 42000

Expand: 410b - b^2 = 42000

Rearrange and use quadratic formula: b^2 -410b + 42000=0

b= 210 (can only be positive because length cannot be negative)

Sub this value back into perimeter or area equation: a + 210 = 410 --> a =200

Therefore, a= 200 and b=210.

Depending what you made the width is, it should be 200ft.

(I may have made some calculation errors as i'm not used to typing it out, but the process should be correct) I hope helps! :)

What is 11 3/5 - 5 19/20

Answers

11 3/5 - 5 19/20

58/5 - 5 19/20

58/5 - 119/20

113/20

= 5.65

I hope that's help ! If you have question(s) please let me know

It is 5 13/20 u need common denominators

10. Na'il Diggs deposited $6,500 into a savings account paying 6% annual interest,compounded monthly. How much compound interest did he earn in 3 months?

Answers

Answer:

$97.99

Step-by-step explanation:

3 months is "fraction" of a year

How much?

3/12 = 1/4th of a year

So, the interest earned in 3 months, is annual interest divided by 4.

We can use compound interest formula shown below to solve this easily:

$A=P(1+(r)/(n))^(nt)$

Where

A is the future amount

P is the present amount (principal)

r is the rate of interest annual

n is the number of compounding in a year

t is the time in years

So, let's find the given information:

P = 6500

r = 6% = 6/100 = 0.06

n = 12 [compounded monthly, so 12 times compounding]

t = 1/4 = 0.25 [3 months = 0.25 of a year]

Now, substituting, we find the value of 6500 after 3 months:

$A=P(1+(r)/(n))^(nt)\nA=6500(1+(0.06)/(12))^(12*0.25)\nA=6500(1.005)^(3)\nA=6597.99$

So 6500 became 6597.99 in 3 months. The excess amount is the interest earned.

Interest Earned = 6597.99 - 6500 = $97.99

The recommended daily amount of vitamin C for children 9 to 13 years old is 45 mg. A serving of a juice drink contains 60% of the recommended amount. How much vitamin C does the juice drink contain?THE BEST ANSWER WOULD GET 20 POINTS

Answers

Answer:

The juice drink contains 27mg of vitamin C.

Step-by-step explanation:

Since the recommended daily amount of vitamin C for children 9 to 13 years old is 45 mg, and a serving of a juice drink contains 60% of the recommended amount, in order to know how much vitamin C does it contain we have to do the following calculation:

45 / 100 x 60 = Vitamin C contained by the juice drink

0.45 x 60 = Vitamin C contained by the juice drink

27 = Vitamin C contained by the juice drink

The juice drink contains 27mg of vitamin C.

So basically, you have to find 60% of 45. You do this by multiplying 45 and 0.6. 0.6 because you have to move the decimal point twice. after multiplying, you would get an answer of 27 and the answer is 27 mg

hulk left home and walked 8 blocks west. then he turned and walked 6 blocks north. if each block is 500 ft long how far is hulk from home

Answers

14 × 500 = 7,000

Hulk walked 7,000 feet

If you times 500 by 8 it is 4000 ft. And then you add 6 times 500 and that is 3000.
It is 7000

What is the algebraic expression of 7w-6-3w+5

Answers

Combine like terms

7w - 3w = 4w

-6+5 = -1

4w - 1

Final answer: 4w - 1

the answer is 4w-1 because first you get all like terms together then you simplify

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