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SVETLANKA909090 [29]
3 years ago
5

What is the common ratio in the sequence: -2, 6, -18, 54

Mathematics
1 answer:
yaroslaw [1]3 years ago
5 0

Answer:

The common ratio is -3

Step-by-step explanation:

To find the common ratio, take the second term and divide by the first term

6/ -2 = -3

We check it by taking the third term divided by the second term

-18/6 = -3

The common ratio is -3

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A theater group made appearances in two cities. The hotel charges before tax in the second city were $1500 lower than in the fir
KonstantinChe [14]

Answer:

The hotel bill in the first city before tax would be $ 650

Step-by-step explanation:

Let x be the hotel charges ( in dollars ) before tax in the first city,

∵  Hotel charges before tax in the second city were $1500 lower than in the first.

So, the hotel charges in second city = ( x - 1500 ) dollars,

Now, percentage of tax in,

First city = 8%

Second city = 10%,

So, the total tax in both city = 8% of x + 10% of (x-1500)

=\frac{8x}{100}+\frac{10(x-1500)}{100}

=0.8x + 0.10(x-1500)

According to the question,

0.8x + 0.10(x-1500)=435

0.8x + 0.10x - 150 = 435

0.9x = 435 + 150

0.9x = 585

\implies x = \frac{585}{0.9}=650

Hence, the hotel bill in the first city before tax would be $ 650.

7 0
3 years ago
Read 2 more answers
Choose the ratio that you would use to convert 2.5 meters to centimeters
nlexa [21]

Answer:

the answer is C.

Step-by-step explanation:


7 0
4 years ago
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An electric stove marked 1700 plus sales tax at 13%. Find the purchase price of the given object.​
Mice21 [21]

Answer:

1921

Step-by-step explanation:

1700 * (1 + 0.13) = 1921

6 0
3 years ago
The ratio of the length to the width the official german flag is 5:3.Sanda is making 12 german flags for a cuiture show.Each fla
kifflom [539]

Answer: The width of each flag = 12 cm

The average amount of time it takes Sandra to make each flag =  20 minutes.

Step-by-step explanation:

Given: The ratio of the length to the width the official german flag is 5:3.

Let length = 5x, width = 3x

Length of each flag = 20 cm

i.e. 5x=20\Rightarrow\ x=\dfrac{20}{5}=4\text{ cm}

Then width of each flag = 3 x 4 = 12 cm

i.e. width of each flag = 12 cm

Total time to make 12 flags = 4 hours

Time taken to make 1 flag = \dfrac{4}{12} hour

Time taken to make 1 flag = \dfrac{1}{3} hour

1 hour = 60 minutes

Time taken to make 1 flag = \dfrac{1}{3}\times60 minutes = 20 minutes.

Hence, the average amount of time it takes Sandra to make each flag =  20 minutes.

7 0
3 years ago
If m = 16 and n = 4, what is the value of the following expression?<br> m - 2 • n + 2
Elan Coil [88]

Answer:

10

Step-by-step explanation:

Use PEMDAS to rewrite the equation as:

m - (2 * n) + 2 =

16 - (2 * 4) + 2 =

16 - 8 + 2 =

10

7 0
3 years ago
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