Pls someone help! I will mark brainliest!!!

A hotel charges a $10,000 annual fee plus an additional $200 for each night you stay there. What is the average cost per night i

Anton [14]

Answer:

$\$400$

Step-by-step explanation:

GIVEN: A hotel charges a $\$10000$ annual fee plus an additional $\$200$ for each night you stay there.

TO FIND: average cost per night if you stay at the hotel for $50$ nights.

SOLUTION:

Annual fee charged by hotel $=\$10000$

amount charged each night we stay there $=\$200$

Total number of nights we stay $=50$

Total amount paid for $50$ nights $=50\times\$200$

$=\$10000$

Total amount paid $=\text{annual fee}+\text{total amount paid for 50 nights}$

$=\$10000+\$10000$

$=\$20000$

average cost per night $=\frac{\text{total amount paid}}{\text{total number of nights of stay}}$

putting values,

average cost per night $=\frac{20000}{50}$

$=\$400$

Hence average cost per night if we stay at hotel for $50$ days is $\$400$

6 0

3 years ago

Give full working and explanation

vlada-n [284]

Answer:

1309 marbles

Step-by-step explanation:

Kadon has 727 marbles.

Simon has: 727 - 145 = 582 marbles

All together:

Kadon marbles + Simon marbles

727 marbles + 582 marbles

1309 marbles

8 0

2 years ago

What would you do first to solve 5x−24=6

Alenkasestr [34]

answer: x=6

Step-by-step explanation:

move all terms that don't contain x to the right side and solve.

8 0

3 years ago

Which expression is equivalent to −1/ 12x−1 /3?

alexandr402 [8]

Answer:

$\frac{1}{12} (-x-4)$

Step-by-step explanation:

the expression we have is:

$-\frac{1}{12} x-\frac{1}{3}$

To find an equivalent expression, it would be helpful to express 1/3 so that it has a 12 in the denominator:

$\frac{1}{3}=\frac{4}{12}$

so we substitute this:

$-\frac{1}{12} x-\frac{4}{12}$

and now we have 1/12 in both terms :

$-\frac{1}{12}x-\frac{1*4}{12}$

so we can factor it (we take it out of each term: in the first we are left with -x and in the second with -4):

$\frac{1}{12} (-x-4)$

the equivalent expression is: $\frac{1}{12} (-x-4)$

5 0

3 years ago

A rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet. Describe the possible lengths o

kipiarov [429]

Answer: 51.86 and 23.14

Step-by-step explanation:

The rectangular garden must have a perimeter of 150 feet

Perimeter of rectangular garden =

2l + 2w=150 -----------1

The rectangular garden must have a perimeter of 150 feet and an area of at least 1200 square feet.

Area of rectangular garden =

l×w= 1200 feet^2 -----------2

From equation 2, l=1200/w

Put l=1200/w in equation 1

2× 1200/w + 2w = 150

(2400/w) +2w = 150

(2400+2w^2)/w =150

2400+2w^2= 150w

2w^2- 150w+2400=0

Using the general formula

w = [-b+-√(b^2-4ac)]/2a

a = 2, b =-150, c=2400

w =[--150+/-√(-150^2-4×2×2400)]/2×2

=[150+/-√(22500-19200)]/4

=[150+/-√3300)]/4

=(150+57.45)/4 or (150-57.45)/4

w= 207.45/4 or 92.55/4

w= 51.86 or w= 23.14

l = 1200/51.86 or l= 1200/23.14

l = 23.14. or l= 51.86

For an area of at least 1200ft^2

The dimensions are 51.86 and 23.14

4 0

3 years ago