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nevsk [136]
2 years ago
12

An elf, a dwarf, a hobbit, a wizard, and a man are sitting in a line.How many different ways can they sit if the elf and the dwa

rf insist on sitting next to each other
Mathematics
1 answer:
Oksana_A [137]2 years ago
6 0

Answer: 24

Step-by-step explanation:

1. Number Them

Elf and Dwarf = 1

Hobbit = 2

Wizard = 3

Man = 4

* Elf and Dwarf are put together so that they are always sitting together

2. Multiply

1 x 2 x 3 x 4 = 24

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An amusement park offers an entrance fee discount of 20% to children under 6 years of age and seniors 65 or older. What is the r
Temka [501]

Answer:

  [0, 6) ∪ [65, ∞)

Step-by-step explanation:

Ages under 6 will be in the interval [0, 5], or in the interval [0, 6), as you may wish.

Ages 65 or older will be in the interval [65, ∞).

The union of these two intervals is ...

  [0, 6) ∪ [65, ∞)

5 0
3 years ago
A bank account balance, b, for an account starting with s dollars, earning an annual interest rate, r, and left untouched for n
lesya692 [45]
B = 100(1 + 0.04)^12 = 100(1.04)^12 = 100(1.601) = $160.10
8 0
3 years ago
HELPPPPPPPPPPPPPPPPPPPPPPPPP
kenny6666 [7]

Answer:

<em>$528</em>

Step-by-step explanation:

A. Calculating The Markdown Price

X=Markdown price

Original price: $600

Markdown rate: 20%

100%-20%=80%

The TV's price is now 80% of what it originally was.

\frac{x}{600} =\frac{80}{100\\}

100x=48000

x=480

The price of the TV after being marked down is $480.

B. Calculating The Sales Tax

Y=Total sales tax

TV price: $480

Sales tax: 10% or 0.1

y=480*0.1

y=48

The total sales tax is $48

C. Calculating Your Total

x+y=total

480+48=total

total=528

You in total pay $528 for the TV.

4 0
3 years ago
Find the product of (3^6)(3)(3^5) Express your answer using exponents
VikaD [51]

Answer:

3^12

Step-by-step explanation:

When multiplying the same number with different exponents you have to add the the exponents. For example:

a^x + a^y = a ^{x+y}

So (3^6)(3)(3^5) or (3^6)(3^1)(3^5) = 3^(6+1+5) = 3^12

6 0
3 years ago
Read 2 more answers
Sam and Liam raced each other up and then down the hill. Sam's average speed up the hill was 1 mph, and his average speed down t
Radda [10]

So, we know that it takes Sam 1 mph up and 9 mph down and it takes Liam both 2 mph down and up the hill. So if we divide the 2 mph for Liam by 2 miles (the whole length of the hill)  we will get 1 or 1 hour. Then we do 1/1 (i don't know how to explain this part of why we do that, sorry) and than we do 1 / 9 and we get 1/9 so we add them and get 1 1/9 so that's Sam's time.

      So, Liam took one hour and Sam took 1 and 1/9 hours, in conclusion liam was faster

<h2> (I'm really sorry for my bad explaining, i tried my best)</h2>
8 0
3 years ago
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