Julie eats 11 hotdogs every 2 minutes in a hotdog-eating contest. How many hotdogs will she eat in 6 minutes?

Answer:

[tex]a_{n}[/tex] = 10n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 10 and d = a₂ - a₁ = 20 - 10 = 10 , then

[tex]a_{n}[/tex] = 10 + 10(n - 1) = 10 + 10n - 10 = 10n

The sequence can be seen to be an arithmetic sequence and the common difference of the sequence is 10.

Arithmetic sequences are an essential concept in mathematics and have applications in various fields, including algebra, physics, computer science, and finance. They are widely used to model patterns and relationships in real-world situations.

Looking at the sequence we can see that the common difference d can be obtained as;

d = S2 - S1

= 20 - 10

= 10

d = S3 - S2

= 30 - 20

= 10

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Answer:

x=23 & y=129

Step-by-step explanation:

(5x+14)°+(3x-18)°=180°

5x+14°+3x-18°=180

8x-4°=180°

x=180+4/8

x=184/8

x=23

(3x-18)°=3×23°-18°=51°

(5x+14)°=5×23+14=129°

y+(3x-18)°=180°

y+51°=180°

y=180°-51°

y=129°

:)

Answer:

AS=9

Step-by-step explanation:

Answer:

441 miles

Step-by-step explanation:

1st find rate from the given

D = RT

315 = 5R

63 = R miles/hour     so,

then find distance for 7 hours

D = RT

D = 63 * 7

D = 441

Answer:

Item 3. 4 3/8

Item 4. 4/9

Item 5. 4/3

Item 6. 1/8

Item 7. 0.8

Item 8. 5.20 or 5.2 (You can choose which to put)

Item 9. 1 7/8

Item 10. A 2008=24500 2009=26000 2010=27500 2011=29000

Step-by-step explanation:

Answer:

It is a proper fraction so it cannot be written as a mixed number.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

time * speed

in seconds 60x *4 = 2.5(60x + 900)

x= 25

25 min * 4cm/2

distance = 60 meters

CHEck!!!

Using a system of linear equations, the distance between points A and B is 6000 cm

Time taken = Distance / speed

Let ; distance = d

To time :

Fro time :

(t + 15 × 60) = d / 2.5

2.5(t + 900) = d

2.5t + 2250 = d ______(2)

Equate (1) and (2)

4t = 2.5t + 2250

4t - 2.5t = 2250

1.5t = 2250

t = 1500 seconds

From (1) :

d = 4t

d = 4(1500)

d = 6000 cm

Therefore, the distance from point A to B is 6000 cm

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Answer:

24% of (254.75 US$) =

61.14 US$

Step-by-step explanation:

Answer:

61.14$.

Step-by-step explanation:

24% = 0.24.

254.75 * 0.24

= 61.14$.

Answer: -2x + 12/5

Step-by-step explanation:

Answer:

|---|--------|---------|------|---------|-|

-2 ¾   -3 ⅕    0.75  1.5       6.8

(This is a rough answer, it mainly just shows the order).

Step-by-step explanation:

1. -2 ¾

2. -3 ⅕

3. 0.75

4. 1.5

5. 6.8

Answer: angle l

Step-by-step explanation:

Answer:

Slope = 2

Step-by-step explanation:

(x₁ , y₁) = ( 1 , 1)   & (x₂,y₂) = (-1,-3)

[tex]Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-3-1}{-1-1}\\\\=\dfrac{-4}{-2}\\\\=2[/tex]

Answer:

Top box: 15

Bottom box: 480

Answer:

[tex]\left[\begin{array}{ccc}5&15&20\\120&360&480\end{array}\right][/tex]

Explanation:

For every 5 gallons, there's 120 miles. If we know we have 360 miles, we can see how many times 120 goes into 360, which is 3.

5 * 3 = 15.

Then just reverse the process

Answer:

It is not a polynomial because the polynomial is the term given to an expression which has coefficients as well as variables with powers having a non-negative entegral value or we can say natural number. The power of the variable × here is not an integer so 3/× is not a polynomial

Step-by-step explanation:

I hope I helped you

Answer:

below

Step-by-step explanation:

-x/3 + x³ is polynomial

3ˣ IS NOT a polynomial, it makes the function be an  "exponential function", which does not fit the criteria of polynomial definition.

Answer:

Open your dictionary, Find the word you are looking for and reread the Sentence and find the right definition that BEST fits the Sentence

Thank me Later :D

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

6x²+5x-4

Step-by-step explanation:

[tex](3x+4)(2x-1)\\=6x^2-3x+8x-4\\=6x^2+5x-4[/tex]

Answer:

[tex]6x^{2}+5x-4[/tex]

Step-by-step explanation:

Apply the distributive property

[tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

Therefore,

[tex](3x+4)(2x-1)=3x*2x+3x(-1)+4*2x+4(-1)[/tex]

[tex](3x+4)(2x-1)=6x^{2} +5x-4[/tex]

Step-by-step explanation:

The volume of cylinder = [tex]\pi r^{2}h[/tex]

The radius of cylinder = 20 ÷ 2 = 10

The volume of cylinder = [tex](\frac{22}{7})(10^{2} )(7)[/tex]

= [tex](22)(100)[/tex] = 2200

please give me a brainliest answer

Answer:

Solution:

volume of a cylinder = area of base(pi × radius²) × altitude (height)

Volume = πr² × altitude

V = 3.14 × 10² × 7

V = 3.14 × 100 × 7

V = 314 × 7

V = 2,198 cm

Answer:

Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.

Step-by-step explanation:

Find the z-scores by subtracting the score they got by the mean and then dividing by the standard deivation of their respective exams.

Xiaoyu:

z = [tex]\frac{27 - 18}{6}[/tex] = 1.5

Emily:

z = [tex]\frac{720 - 500}{100}[/tex] = 2.2

______

Emily has a higher relative score since her z-score is higher. This would mean she scored further above the mean than Xiaoyu.

Answer:

the point (0,6) is the point that is 1/6 of the way

Answer:

15.5 because you have to take away some point

Step-by-step explanation:

you can do 15.8 +5.3 and that would make 21 - 15 and makes 6 so you can round 15.8 to 16 and then you subtract to make 10 then you add 5

_______

[tex] \: [/tex]

x² = (15.8)² - (5.3)²

x² = 249.64 - 28.09

x² = 221.55

x = √221.55

x ≈ 15

there is the answer to your problem

Answer:

d=4.5t

Step-by-step explanation:

in two hours, Francine went 9 miles

9/2=4.5

the distance equals 4.5 times each cycling time.

d=4.5t

Answer:

Answer 1 is 4:2 or also write as 2:1.

Answer:

d≈12.73cm

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving for d

d = c/[tex]\pi[/tex] = 40/[tex]\pi[/tex] ≈12.7324cm

Answer:

I think it is straight forward, u just have to solve the problem

Step-by-step explanation:

so 35 x 586= 20510

3.5 x 5860=20510

36 x 586=21096

70 x 586=41020