6th term 25,75,225,675,.... is it arithmetic or geometric. what's the explicit equation and the given term​

Answer:

[tex]a=85[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}5.10c+8.70a=1065.90\\c+a=149\end{case}[/tex], where [tex]c[/tex] represents the number of child tickets sold and [tex]a[/tex] represents the number of adult tickets sold.

Multiplying the second equation by [tex]-5.10[/tex] and adding both equations lets us isolate and solve for [tex]a[/tex]:

[tex]\begin{cases}5.10c+8.70a=1065.90\\-5.10c-5.10a=-759.9\end{case}\\3.6a=306,\\a=\fbox{$85$}[/tex].

Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

For each gym membership sold, the gym keeps $[tex]42[/tex], and the employee who sold it gets $[tex]8[/tex].

(1)

Here the full price is [tex]42+8=50[/tex]

So, the commission the employee earned as a percentage of the total cost of the gym membership is

[tex]\frac{8}{50}=16[/tex] %

(2)

Here, the employee sells a family pass for $[tex]135[/tex].

So, the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be

[tex]\frac{16}{100}[/tex] ×[tex]135=21.6[/tex] $

Hence, the commission the employee earned as a percentage of the total cost of the gym membership is [tex]16[/tex] % and the amount of the commission they get to keep is the [tex]16[/tex] % of $[tex]135[/tex] which would be [tex]21.6[/tex] $

To know more about the percentage

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Answer:

c, 14

Step-by-step explanation:

Answer:

the ansewr is b

Step-by-step explanation:

Answer:

Yes, only one trial had a result of 19 or larger.

Step-by-step explanation:

The claim reported is that only about half of high school seniors study for upcoming math test. However, at Garfield a sizeable number of the 30 surveyed observation gave a symmetrical distribution about the study pattern of their high school seniors with only one trial a frequency of yes greater than or equal to 19

Answer:

I believe it would be 75% or 3/4

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer: 24.5 inches

Step-by-step explanation:

Luca used 587.19 inches for 35 players and 2 coaches:

= 35 + 2

= 37 people.

The inches per person used for headband is:

= 587.19/37

= 15.87 inches

Luca then used 302.05 inches for just players who number 35 to make wristbands. Inches used per player is:

= 302.05/35

= 8.63 inches

Fabric used for each player is therefore:

= 15.87 + 8.63

= 24.5 inches

Answer:

The answer is IQ

Step-by-step explanation:

Edge 2021

Answer:

You're correct

Step-by-step explanation:

-21 > -28

-21 is bigger than -28 so ana did swim further

Answer:

Your answer is

B. C. And. E

Hope it will help :)❤

9514 1404 393

Answer:

  (a)  (6a - 3a) + (-3+6)

Step-by-step explanation:

Assuming "properly grouped" means that parentheses are placed around each group of terms, the appropriate choice is the one that groups 'a' terms and constant terms:

  (6a - 3a) + (-3 + 6)

Answer:

x > 3

2 is not a solution since 3 is greater than 2.

hope this helps :D

Answer:

3

Step-by-step explanation:

-2x =-6

-2. -2

x =3

-2 divided by -2x equal x

-2 divided by -6 equal 3

x equal 3

Answer:

$46.27

Step-by-step explanation:

210.29×.78=164.02

210.29-164.02=46.27

Answer:

f'(x) = 2ax + b

Step-by-step explanation:

Differentiate each term using the power rule

[tex]\frac{d}{dx}[/tex] (a[tex]x^{n}[/tex] ) = na[tex]x^{n-1}[/tex]

Given

f(x) = ax² + bx , then

f'(x) = 2a[tex]x^{2-1}[/tex] + b[tex]x^{1-1}[/tex]

     = 2ax + b[tex]x^{0}[/tex] ( [tex]x^{0}[/tex] = 1 )

     = 2ax + b

Answer:

x[tex]\geq[/tex]5

Step-by-step explanation:

The domain is the function defined on your x-axis.

It starts from 5 and includes 5

so the domain is x[tex]\geq[/tex]5

Answer:

[tex] {x}^{2} +2 x + 1 = 4 \\ {(x + 1)}^{2} = 4 \\( x + 1) = + 2 \: and \: (x + 1) = - 2 \\ \boxed{x = 1 \: and \: x = - 3}[/tex]

Answer:

If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.

Step-by-step explanation:

If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.

Answer: this is equal to √(3x²/12) = √(x²/4) = x/2

Step-by-step explanation:

Answer:

C.) 1/3

Step-by-step explanation:

Answer:

»»»»»

ZBDC = ( 180 - x - y )°

:-))

»»»»»

Answer:

A

Step-by-step explanation:

rod is closest at 3m change

judy is medium at 7 m change

nelda is deepest at 9m change

Answer:

[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]

Step-by-step explanation:

1) Use the slope formula, [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex], and the given points to find the slope. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line must intersect, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point the line must also intersect:

[tex]\frac{(3)-(8)}{(-2)-(1)}[/tex]

= [tex]\frac{-5}{-3}[/tex]

= [tex]\frac{5}{3}[/tex]

2) Using the point-slope formula, [tex]y-y_1 = m (x - x_1)[/tex], use the slope you just calculated and substitute it for m. Choose any of the two points given (I chose (1,8)) and substitute its x and y values for [tex]x_1[/tex] and [tex]y_1[/tex]. Don't worry, the equation of the line is the same no matter which point you choose (unless the question specifies which one you need to choose):

[tex]y - 8 = \frac{5}{3}(x - 1)[/tex]

Answer:

Draw a line of a givens point

Answer:48miles

solution on the picture

if it's helpful ❤❤❤

THANK YOU

The first term will be an x because

x squared breaks down as x times x.

First look for factors of your constant that add to your

coefficient of the middle term in the trinomial.

Also note that the constant is negative and a negative

factors as the product of a positive and a negative.

The factors of -20 that add to -8 are -10 and +2.

So we have y = (x - 10)(x + 2).

Answer:

55 seconds

Step-by-step explanation:

Okay so, 1/12 of a minute would be 5 seconds. 10/12 would be 50 seconds. You go up 5 continuously.

Answer: 5 units

Step-by-step explanation:

The shape presented is a triangle and the distance between Link and Ganon is the hypothenuse of that triangle.

This can be calculate using the Pythagoras rule:

c² = a² + b²

c is the hypothenuse.

a in the triangle = base = 4 units

b = height = 3 units

c² = 4² + 3²

c² = 16 + 9

c² = 25

c = √25

c = 5 units

Answer:

wait i'm tho lol

Step-by-step explanation:

Answer:

(a) 5 mayflies

(b) 15 mayflies

(c) 84 flying flies

Step-by-step explanation:

Represent Mayflies with M and the total flying insects with F

The ratio can be represented as:

[tex]M : F = 5 : 14[/tex]

Solving (a):

[tex]F = 14[/tex]

Find M

Substitute 14 for F in [tex]M : F = 5 : 14[/tex]

[tex]M : 14 = 5 : 14[/tex]

Convert to fraction

[tex]\frac{M}{14} = \frac{5}{14}[/tex]

Multiply through by 14

[tex]14 * \frac{M}{14} = \frac{5}{14} * 14[/tex]

[tex]M = 5[/tex]

Solving (b):

[tex]F = 42[/tex]

Find M

Substitute 42 for F in [tex]M : F = 5 : 14[/tex]

[tex]M : 42 = 5 : 14[/tex]

Convert to fraction

[tex]\frac{M}{42} = \frac{5}{14}[/tex]

Multiply through by 42

[tex]42 * \frac{M}{42} = \frac{5}{14} * 42[/tex]

[tex]M = \frac{5}{14} * 42[/tex]

[tex]M=5*3[/tex]

[tex]M= 15[/tex]

Solving (c):

[tex]M = 30[/tex]

Find F

Substitute 30 for M in [tex]M : F = 5 : 14[/tex]

[tex]30 : F = 5 : 14[/tex]

Convert to fraction

[tex]\frac{F}{30} = \frac{14}{5}[/tex]

Multiply through by 30

[tex]30 * \frac{F}{30} = \frac{14}{5} * 30[/tex]

[tex]F = \frac{14}{5} * 30[/tex]

[tex]F = 14*6[/tex]

[tex]F = 84[/tex]

Answer:

Area = 18 Sq.units

Step-by-step explanation:

From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units

Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.

Let the diagonal be c. Thus;

c = √(10² + 6²)

c = √(100 + 36)

c = √136

Let length of the horizontal part of the blue area be "b". Thus, b = 6 units

Let the other part of the triangle be a. We can find a from pythagoras theorem.

a = √(4² + 6²)

a = √(16 + 36)

a = √52

Using hero's formula, we can find the area of the triangle;

Area = √(s(s − a)(s − b)(s − c))

Where s = (a + b + c)/2

s = (√52 + 6 + √136)/2

s = 12.4365

Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))

Area = 18 Sq.units

Answer:

The total prize money for the competition is $1750

Step-by-step explanation:

Let us solve the question

→ The golf club runs a competition

∵ The total prize money is shared in the ratio 1st prize: 2nd prize = 9: 5

∵ The 1st prize is $500 more than the 2nd prize

∴ The difference between the 1st prize and the second prize = $500

→ Find the difference between the terms of the ratio

∴ The difference in the terms of the ratio = 9 - 5 = 4

→ By using the ratio method

→  1st   :   2nd   :   difference

→  9     :   5       :   4

→  x     :   y        :   500

→ By using the cross multiplication

∵ x × 4 = 9 × 500

∴ 4x = 4500

→ Divide both sides by 4 to find x

∴ x = 1125

∴ The 1st prize is $1125

∵ y × 4 = 5 × 500

∴ 4y = 2500

→ Divide both sides by 4

∴ y = 625

∴ The 2nd prize is $625

∵ The total prize = 1st prize + 2nd prize

∴ The total prize = 1125 + 625

∴ The total prize = 1750

∴ The total prize money for the competition is $1750