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Sergeu [11.5K]
3 years ago
5

A motel bills its customers by charging a flat fee for the first night and then adding on a fixed amount for every night thereaf

ter. If it costs George $155 to stay in the motel for 3 nights and Noah $290 to stay in the motel for 6 nights, how much is the flat fee for the first night?
Mathematics
1 answer:
melamori03 [73]3 years ago
8 0
65 is the flat fee for the first night followed by a charge of 45 a night.
You might be interested in
Ted knows the actual distance between two cities is 150 miles. His map shows a distance of 2 inches between these cities. What i
Serjik [45]

Answer:

The scale used on his map is <u>150 miles : 2 inches</u>.

Step-by-step explanation:

Given:

Ted knows the actual distance between two cities is 150 miles. His map shows a distance of 2 inches between these cities.

Now, to find the scale Ted used on his map.

The actual distance Ted know between two cities = 150 miles.

The distance on map between these cities = 2 inches.

So, to get the scale used on his map:

\frac{The\ actual\ distance\ Ted\ know\ between\ two\ cities}{The\ distance\ on\ map\ between\ these\ cities}

=\frac{150\ miles}{2\ inches}

=150\ miles:2\ inches.

Therefore, the scale used on his map is 150 miles : 2 inches.

5 0
2 years ago
How are these triangles congruent ? <br> - HL <br> - AAA<br> - ASA
olchik [2.2K]
ASA..........................
3 0
3 years ago
What is √-11 in the form a+bi?
Mice21 [21]

Given:

The number is \sqrt{-11}.

To find:

The a+bi form of given number.

Solution:

We have,

\sqrt{-11}

It can be written as

\sqrt{-11}=\sqrt{-1\times 11}

\sqrt{-11}=\sqrt{-1}\times \sqrt{11}      [\because \sqrt{ab}=\sqrt{a}\sqrt{b}]

\sqrt{-11}=i\times \sqrt{11}      [\because \sqrt{-1}=i]

\sqrt{-11}=\sqrt{11}i

Here, real part is missing. So, it can be taken as 0.

\sqrt{-11}=0+\sqrt{11}i

So, a = 0 and b=\sqrt{11}.

Therefore, the a+bi form of given number is 0+\sqrt{11}i.

5 0
2 years ago
How many times greater is the value of the fidget 2 in 234567 than the value of the digit 2 in 765432
Scilla [17]

Answer:

The value of 2 in the first digit is 100,000 times greater than the value of 2 in the second digit

Step-by-step explanation:

Firstly, we need to know the value of the 2 in 234,567 and that is 200,000

The value of the 2 in 765,432 is simply 2

So the number of times the value of the first 2 is greater than the value of the second 2 is;

200,000/2 = 100,000

So the value of 2 in the first digit is 100,000 times greater than the value of 2 in the second digit

6 0
3 years ago
5 1/3 + x = 2 1/2. Use least common denominator or easiest common denominator. Please work out
julia-pushkina [17]

Answer:

The answer is x = -17/6.

Step-by-step explanation:

Given:

5 1/3 + x = 2 1/2 . Using least common denominator.

Now, to solve the equation:

5\frac{1}{3}+x=2\frac{1}{2}

=\frac{16}{3} +x=\frac{5}{2}

Subtracting both sides from 16/3 we get:

x=\frac{5}{2}- \frac{16}{3}

Now, the least common denominator of 2 and 3 is 6.

So, we using this we calculate:

x=\frac{5\times 3-16\times 2}{6}

x=\frac{15-32}{6}

x=\frac{-17}{6}

Therefore, the answer is x = -17/6.

7 0
3 years ago
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