Nolan has $540 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.
He buys a new bicycle for $263.94.
He buys 4 bicycle reflectors for $6.33 each and a pair of bike gloves for $35.58.
He plans to spend some or all of the money he has left to buy new biking outfits for $53.79 each.

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formula

[tex]\\ \tt\hookrightarrow a_n=ar^{n-1}[/tex]

[tex]\\ \tt\hookrightarrow a_n=32(3/2)^{n-1}[/tex]

Answer:

[tex]a_n=32 \cdot \left(\dfrac32 \right)^{n-1}[/tex]

Step-by-step explanation:

The difference between each term in the sequence is not the same, therefore the sequence is a geometric sequence.

Geometric sequence formula:  [tex]a_n=a r^{n-1}[/tex]

where [tex]a[/tex] is the start term and [tex]r[/tex] is the common ratio

Given [tex]a = 32[/tex]

To calculate [tex]r[/tex], divide one term by its previous term:

[tex]\implies r=\dfrac{a_4}{a_3}=\dfrac{108}{72}=\dfrac32[/tex]

Therefore, [tex]a_n=32 \cdot \left(\dfrac32 \right)^{n-1}[/tex]

It is a linear pair of angles hence supplementary

[tex]\\ \tt\hookrightarrow 123+3x=180[/tex]

[tex]\\ \tt\hookrightarrow 3x=180-123[/tex]

[tex]\\ \tt\hookrightarrow 3x=57[/tex]

[tex]\\ \tt\hookrightarrow x=19[/tex]

Explanation:

The angles shown is supplementary because the sum of 123 and 3x is 180.

Thus, the equation formed:

Subtract 123 both sides:

Divide 3 both sides:

The value of x is 19.

Answer:

You're correct

Step-by-step explanation:

Solve using FOIL

(x-3)(x+10)

x²+10x-3x-30

x²+7x-30

That's the same as the equation in the beginning, so you are right.

Hey there!

5(m - 2) + 2w

= 5(8.4 - 2) + 10(1.25)

= 5(8.4) + 5(-2) + 10(1.25)

= 42 - 10 + 10(1.25)

= 32 + 12.50

≈ 32 + 12.5

= 44.50

≈ 44.5

Thus, your answer is: 44.5

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

[tex]log_2(6x-8)-log_2(8)=1\\\\log_2(\frac{6x-8}{8})=1\\ \\\frac{6x-8}{8}=2\\ \\6x-8=16\\\\6x=24\\\\x=4[/tex]

Answer: -1

Step-by-step explanation: f(x) is another way of saying y. So when y is 3, according to the table, x is -1

Explanation:

If x+2 is a factor of the other polynomial mentioned, then x = -2 is a root of that polynomial.

This means plugging x = -2 into the cubic expression will have it result in zero.

x^3- kx^2 +3x+7k = y

(-2)^3- k*(-2)^2 +3*(-2)+7k = 0

-8 - 4k - 6 + 7k = 0

3k - 14 = 0

3k = 14

k = 14/3

Answer: 54.3329

Step-by-step explanation:

Answer:

$9

Step-by-step explanation:

Total money Antonio has on Sunday =25 + 65=90

Now,10%of 90=9

So he gave $9 to church

Answer:

How many 22s can go in 553

Step-by-step explanation:

Please mark me as brainliest

Step-by-step explanation:

x is the hypotenuse of the triangle.

to find x:

the sum of the square of the other two sides. ( a^2 + b^2 = x^2)

[tex] {x}^{2} = {21}^{2} + {20}^{2} \\ {x}^{2} = 841 \\ \sqrt{ {x}^{2} } = \sqrt{841} \\ x = 29 \: yd[/tex]

Answer:

79% - almost 4 times out of 5.

The key to this is realizing that the number of games will not always be 5.

If A wins in a sweep - you have 2/3*(2/3)*2/3 percent chance of that happening - 8/27, or 29.63%

If A wins in 4, now we have 2/3*(2/3)*2/3*(1/3)*3 - the 1/3 is the chance that B wins a game. Note - there are only 3 ways B can win a game, not 4. B cannot win Game 4 because Game 4 would not be played in case of a sweep. That is why you cannot use a straight Pascal’s triangle to get your coefficients - the 1–4–6–4–1 is not possible if B cannot win Game 4. Anyway, the math is the same as the above, a 29.63% chance of A winning in 4.

For a 5 game set, A could lose 2 games in 6 possible ways (lose 1&2, 1&3, 1&4, 2&3, 2&4 or 3&4). Again, A cannot lose Game 5 - it would not be played once A wins 3 games. So the odds become 2/3*(2/3)*2/3*(1/3)*(1/3)*6, or 19.75%.

Add them up and you get 79.01%

Step-by-step explanation:

Hope it helps<3

Answer:

Step-by-step explanation:

j) (2g+9h-5)-(6g-4h+2); g=-2 ; h=5

(2*(-2)+9*5-5)-(6*(-2)-4*5+2)

(-4+45-5)-(-12-20+2)

36-(-32+2)

36-(-30)

36+30

66

Answer:

Mean (Average):40

Median (Middle): 34

Mode (Most Common):34

Step-by-step explanation:

Is this all the numbers

Answer:

0-11+3u have to exp

Step-by-step explanation:

so whene the disiredble answer

x>8 and x<2 are the two possible inequalities of |x - 5| > 3

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let x be the number

|x - 5| > 3

Now solve for x.

Suppose x - 5 is positive.  Then

x - 5 > 3

x > 8

Suppose x - 5 is negative.  Then |x - 5| = -(x - 5) = 5 - x

5-x>3

5-3>x

2>x

x<2

Hence, x>8 and x<2 are the two possible inequalities of |x - 5| > 3

To learn more on Inequality click:

https://brainly.com/question/28823603

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Answer:

1 17/22

Step-by-step explanation:

The perimeter of the rectangle in yards is; 46 1/3 yards

The perimeter of a rectangle is the sum of the lengths of all its sides as follows;

Perimeter of a rectangle = 2(width + length

P = 2(10 1/3 + 12 5/6)

P = 2(31/3 + 77/6)

P = 2(139/6)

P = 46 1/3 yards.

Therefore, the perimeter of the rectangle in yards is 46 1/3 yards

Read more on perimeter of a rectangle;

https://brainly.com/question/19819849

Answer:

The perimeter of the rectangle in yards is; 46 1/3 yards

Perimeter of a Rectangle

The perimeter of a rectangle is the sum of the lengths of all its sides as follows;

Width = 10 1/3

Length = 12 5/6

Perimeter of a rectangle = 2(width + length

P = 2(10 1/3 + 12 5/6)

P = 2(31/3 + 77/6)

P = 2(139/6)

P = 46 1/3 yards.

Therefore, the perimeter of the rectangle in yards is 46 1/3 yards

Read more on perimeter of a rectangle;

brainly.com/question/19819849

Step-by-step explanation:

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{1}}}\implies \cfrac{-5}{5}\implies -1[/tex]

Answer:

d

Step-by-step explanation:

the square root of 121 is 11

the square root of 64 is 8

soooo

(11x+8y)(11x-8y) makes the most sense

Answer:

D. (11x + 8y) (11x - 8y)

Step-by-step explanation:

Step 1: Rewrite 121x² - 64y² as (11x)² - (8y)²

Step 2: The difference of squares can be factored using the rule:

a² - b² = (a - b) (a + b)

(11x - 8y) (11x + 8y)

or

you can write it as

(11x + 8y) (11x - 8y)

Answer:

if i knew the answer i would say it but i need it to

Step-by-step explanation:

[tex]\displaystyle\\x^\frac{3}{2} =>\\\sqrt{x^3} ;x\sqrt{x} ;x\times x^\frac{1}{2}[/tex]

think it's right. i don't now(or remember) any other ways

Answer:

The answer is 0.8

Step-by-step explanation:

[tex] \: \: \: \: \: \: 0. 8\\ 5 \sqrt{40} \\ - 40 \\ 0[/tex]

Thus, The answer is 0.8

-TheUnknownScientist 72

Answer:

0.0000638

Step-by-step explanation:

all you need to do is move the decimal point over 5 times but this will only work if your multiply by 10 and that it has a negative exponent

The number 6.38×10⁻⁵ written in ordinary form is 1/638000.

In scientific notations numbers are written in the form of a base that is

0  ≤ b < 10 and multiplied by 10ⁿ where n represents integers.

We write large standard numbers in scientific form in a compact manner.

Given, A number in scientific form as 6.38×10⁻⁵.

Now, We know an exponent must be written as a positive value.

Therefore,

6.38×10⁻⁵.

= 1/ 6.38×10⁵.

Now, The ordinary form of the number is when we write without the exponent.

So,

1/ 6.38×10⁵ is,

= 1/638000.

learn more about scientific notation here :

https://brainly.com/question/18073768

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Answer:

50°

Step-by-step explanation:

The blue lines form a Right-angled triangle.

*Such triangles have one angle equal to 90°.*

*Property*

Sum of all angles in a triangle = 180°

To find :

Value of x – an angle of the right-angled triangle.

Solution:

==> 90 + 40 + x = 180

==> 130 + x = 180

isolating x

==> x = 180 - 130

==> x = 50°

Answer:4/45÷4/5.

Solving-0.1,3-2
Answer-1/9

Step-by-step explanation:

Answer:

When x=5, f(x)=0

Step-by-step explanation:

[tex]f(x)=x-5\\\\f(5)=5-5\\\\f(5)=0[/tex]

Therefore, when x=5, f(x)=0

Answer:

f(x) = 0

Step-by-step explanation:

f(x) = x - 5 .......replace x with 5

→ 5 - 5

→ 0

Answer:

80%

Step-by-step explanation:
64/80 is 0.8, 0.8 is equivalent to 80%

tell me if this is wrong please