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3 years ago

Help..................

Mathematics

1 answer:

Burka [1]3 years ago

4 0

Answer:

The answer is A

Step-by-step explanation:

There are opposite angles

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Three friends live in three different states. Monica lives in Rhode Island, Anthony lives in Ohio, and Thomas lives in Colorado.

steposvetlana [31]

Sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Colorado:
3.50 = 100
3.60 = X
3.60 x 100 / 3.50 = X
360 / 3.5 = X
102.85 = X
2.85% = Sales tax

Ohio:
Y = 1.055X
10 x 1.055 = Y
10.55 = Y
10 = 100
10.55 = X
10.55 x 100 / 10 = X
1055 / 10 = X
105.5 = X
5.5% = Sales tax

Rhode Island:
10 = 100
10.70 = X
10.70 x 100 / 10 = X
1070 / 100 = X
107 = X
7% = Sales tax

Therefore, sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.

Learn more about maths in brainly.com/question/25866144

5 0

3 years ago

What is the nth term rule of the quadratic sequence below?

Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

Given sequence:

6, 20, 40, 66, 98, 136, ...

Calculate the first differences between the terms:

$6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136$

As the first differences are not the same, calculate the second differences:

$14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38$

As the second differences are the same, the sequence is quadratic and will contain an n² term.

The coefficient of the n² term is half of the second difference.

Therefore, the n² term is: 3n²

Compare 3n² with the given sequence:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

The second operations are different, therefore calculate the differences between the second operations:

$3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18$

As the differences are the same, we need to add 5n as the second operation:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2 &-2 & -2 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0

2 years ago

Solve my question please, I’ll mark u as brainlest if the answer is correct and if you solved my question!!!

ikadub [295]

Answer:

x = price of balcony tickets = $7

y = price of orchestra tickets = $21

Step-by-step explanation:

Let

x = price of balcony tickets

y = price of orchestra tickets

y = 3x (1)

148y + 76x = 3,640 (2)

Substitute y = 3x into (2)

148y + 76x = 3,640 (2)

148(3x) + 76x = 3,640

444x + 76x = 3,640

520x = 3,640

x = 3,640/520

x = 7

Substitute x = 7 into (1)

y = 3x (1)

y = 3(7)

y = 21

x = price of balcony tickets = $7

y = price of orchestra tickets = $21

3 0

3 years ago

What is the value of 4x the power of 2 + 5x when x=1?

lana [24]

Answer:

the answer is 21

Step-by-step explanation:

4x to the power of 2 + 5x

so: 4*1 the power of 2 +5*1

4to power of 2 +5

and 4 to the power of 2 equals 16 (because 4*4=16) and +5

so 16+5=21

8 0

3 years ago

Pls answer asap i need this answer quick plus the full explanation #8

vlada-n [284]

Please answer please please thank you

5 0

3 years ago

Help..................​

Help..................