Raymond’s gas tank is 1/3 full. After he buys 11 gallons of gas, it is 5/6 full. How many gallons can Raymond’s tank hold?

Answer:

Step-by-step explanation:

a sub n  = a sub 1 x r ^ n-1

a sub n = 17 since that's what's in question

a sub 1 = 4 since that's the starting amount

r = 1.13 since that's the difference 

a sub 17 = 4(1.13) ^17-1

a sub 17 = 4(7.0673255268)

a sub 17 = 28.2693021072

a sub 17 ≈ 28.37

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The number of villagers that Chase can create to live in his 17th town is 28.27.

A function assigns the value of each element of one set to the other specific element of another set.

A.) As it is given that the number of villagers that Chase had, in the beginning, is 4, and the number of villagers will increase at the rate of 1.13 every time Chase conquers a new village. Therefore, if Chase had n number of towns then Chase had conquered (n-1) number of towns because Chase already had 1 village in the beginning, thus, the villagers will increase (n-1) number of times by the rate of 1.13 times. Therefore, the equation can be written as,

[tex]A = 4(1.13)^{(n-1)}[/tex]

Thus, the function that represents the number of villagers when chase conquered n number of villages is [tex]A = 4(1.13)^{(n-1)}[/tex].

B.) We already know the function that represents the number of villagers, therefore, the number of villagers when Chase had conquered 17 villages can be written as,

[tex]A = 4(1.13)^{(n-1)}\\\\A = 4(1.13)^{(17-1)}\\\\A = 28.27[/tex]

Hence, the number of villagers that Chase can create to live in his 17th town is 28.27.

Learn more about Function:

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Answer:

A counter clockwise

Step-by-step explanation:

Answer:

5200300

Step-by-step explanation:

Use Combination

The different combinations without repetition of 12 people will be equal to 5,200,300.

When a whole number is multiplied by each natural number underneath it, the result is known as its factorial. The symbol "!" can represent the idea of a factorial. As a result, "n factorial" is just n and is defined as the sum of the first n natural integers.

As per the given information in the question,

Total number of people chosen by the board = 12

Total number of applicants = 25

Then the number of combinations without repetition will be = ²⁵C₁₂

= [tex]\frac{25 !}{12!(25-12)!}[/tex]

= 25!/(12! × 13!)

= 5,200,300

To know more about Factorial:

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Answer:

English pls

Step-by-step explanation:

अन्यथा बहस करें, शिकायतें पकड़ें।

50°

Step-by-step explanation:

notice the lines. from that you can tell that 3y+4=5y-10. with calculation, you get y=7. substitute y=7 and you get 50°

Answer:

Step-by-step explanation:

If x = 0, 5x = 7x is true.

If x = 1, 5x ≠ 7x

5x = 7x is sometimes true.

Answer:

14.4

Step-by-step explanation:

2.5 divided by 6 is 2.4

2.4 x 6 = 14.4

The question is worded incorrectly.  It should say the DENSITY of water is 62 1/2 lbs per cubic foot.  Divide the weight by the density to get volume.

(150 lbs) / (62.5 lbs/ft3) = ? ft3 (the two 3's are exponents. so it'd be ft then an exponent of 3.)

Answer:

b

Step-by-step explanation:

beacause 2x+60 thats the answer

Answer:  The answer to this question would be  -6.

I hope this helped!

Answer:

-6

Step-by-step explanation:

g(-3) - g(0) / -3-0

= [2(-3²) + 10] - (0 + 10) ÷ -3

= (28 - 10) / -3

= -18/3

= -6

Answer: 54

Step-by-step explanation:

the answer is will be +50a+125

Answer:

Exterior angle = 45° each

Step-by-step explanation:

Given:

Number of side n = 8

Find:

Exterior angle

Computation:

Exterior angle =360° / n.

Exterior angle =360° / 8

Exterior angle = 45° each

Answer:

21 girls

Step-by-step explanation:

3 girls: 2 boys

multiply both sides by 7

21 girls: 14 boys

Answer: m<2= 126 and is supplementary angle

Answer:

3313%

Step-by-step explanation:

Answer:

28cm^2

Step-by-step explanation:

4 x 7

Answer:

no sé nada de inglés we ya me entiendes si supiera te ayudará pero eso está difícil busca por internet

Answer:

x = 1/18

Step-by-step explanation:

2/3x = 12

multiply both sides by 3x

2/3x(3x) = 12(3x)

2 = 36x

x = 1/18

Answer:

b = 4

Step-by-step explanation:

4b + 5 = 1 + 5b

4b-5b + 5 = 1

4b-5b = 1 - 5

-b = 1 - 5

-b = -4

-b = -4

b - 4

Answer:

300

Step-by-step explanation:

Number of hockey cards in Nick's album = 700

Number of hockey cards in each page of the album = 7

Number of pages in Nick's album :

[tex] = \tt \frac{700}{7} [/tex]

[tex] = \tt100[/tex]

▪︎Thus, the number of pages in Nick's album = 100

Percentage of album that is empty = 72%

Number of pages in the album that is empty :

[tex] = \tt 72\% \: \: of \: \: 100[/tex]

[tex] =\tt \frac{72}{100} \times 100[/tex]

[tex] = \tt \frac{72 \times100}{100} [/tex]

[tex] =\tt \frac{7200}{100} [/tex]

[tex] \color{plum}= \tt72 \: pages[/tex]

▪︎Thus, the number of empty pages in the album = 72

Number of pages in the album that are filled :

[tex] =\tt 100 - 72[/tex]

[tex]\color{plum} = \tt28 \: pages[/tex]

Number of pages filled with hockey cards = 28

Answer:

Multiples of 4= 28

Multiples of 7= 7,21,28,35,42

Step-by-step explanation:

I hope this helps, and have a great day! :)

Answer:

z = 735.25

Step-by-step explanation:

Following steps explain :

[tex]\frac{4\left(z+6\right)}{4}=\frac{2965}{4}\\z+6=\frac{2965}{4}\\z+6-6=\frac{2965}{4}-6\\z=735.25z=\frac{2941}{4}[/tex]

Looks kinda sloppy, but I think you can see what I did :)

#SpreadTheLove <3

Answer:

D

Step-by-step explanation:

Surface Area = 2×(9×9 + 9×27 + 9×27) = 1134 inches2

We can apply the Pythagorean theorem:

c= (SQ)

a=RQ = 4

b=RS = 4

c²=a²+b²

c=√(16+16)

c=√32

c=4√2

SV=0,5*SQ

SV=0,5*c

SV=√2

Answer: what does this say

Step-by-step explanation:

Answer:

B. [tex] \sqrt{106} [/tex]

Step-by-step explanation:

Distance between A(-4, 3) and B(5, -2) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] (-4, 3) = (x_1, y_1) [/tex]

[tex] (5, -2) = (x_2, y_2) [/tex]

Plug in the values into the formula

[tex] d = \sqrt{(5 -(-4))^2 + (-2 - 3)^2} [/tex]

[tex] d = \sqrt{(9)^2 + (-5)^2} [/tex]

[tex] d = \sqrt{81 + 25} [/tex]

[tex] d = \sqrt{106} [/tex]

la respuesta es (-24)+(-25)-49

Answer:

- 49

Step-by-step explanation:

= -24-25(because - and + becomes -)

= -49