please help meeeee c:

Let

[tex]x = 6 + \dfrac1{2 + \dfrac1{6 + \dfrac1{2 + \cdots}}}[/tex]

Then

[tex]x = 6 + \dfrac1{2 + \dfrac1x}[/tex]

and solving for x gives

[tex]x = 6 + \dfrac x{2x + 1}[/tex]

[tex]x = \dfrac{13x + 6}{2x + 1}[/tex]

[tex]x(2x+1) = 13x + 6[/tex]

[tex]2x^2 + x = 13x + 6[/tex]

[tex]2x^2 - 12x - 6 = 0[/tex]

[tex]x^2 - 6x - 3 = 0[/tex]

By the quadratic formula,

[tex]x = 3 \pm 2\sqrt{3}[/tex]

but x must be a positive number, so only the positive square root solution is valid.

[tex]x = 3 + 2\sqrt{3}[/tex]

We identify a = c = 3 and b = 2, so a + b + c = 8.

Answer:

Should be $368.94

Step-by-step explanation:

hope it helps

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The total cost of 118.25 gallons of gas is $368.94. Therefore, option A is the correct answer.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Todd drives 2,365 miles in a month and the average is 20 miles per gallon

Now, number of gallons =2,365/20

= 118.25 gallons

So, total cost = 118.25×3.12

= $368.94

Therefore, the total cost of gas is $368.94.

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Answer:

Step-by-step explanation:

45

Answer:

x=44°

Step-by-step explanation:

It's an Isosceles triangle, it has two equal sides (DC=CE) so also its two equal angles of 44 degrees

Hope this helps

Answer:

So the probability that a die thrown 5 times will result in a 6 exactly 3 times is 0.03215.

Step-by-step explanation:

HOPE IT HELPS I'M FILIPINO STUDENTS

Answer:

6) 25.57

7) .9

8) don't see a number underlined

Step-by-step explanation:

Answer:

y = - 5x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - 5 , then

y = - 5x + c ← is the partial equation

To find c substitute (- 2, 6 ) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = - 5x - 4 ← equation of line

Answer:

y = 2/3x - 9

Step-by-step explanation:

note the slope, then note the y intecept, then plug it into the equation y = mx+b

Answer:

So its d

Step-by-step explanation:

Y intercept is 6, and the slope is 3/2. hope i help! And if it isn't that, its c

Answer:

0.00706666666

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

you told me to resolve this problem

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

you add the thing then multipy it then do math!

Answer: 27 students

Step-by-step explanation: 6 x 4 = 24

24 + 3 = 27

Answer:

27 Students in the class

Step-by-step explanation:

First we have to find out how many people are in the 6 groups of 4. 6x4=24

And of course 1 group of 3 people. Add them together to get 27 people.

24+3=27

Answer:

58 2/3 fps

Step-by-step explanation:

To convert a speed value from miles per hour to feet per second, multiply it by 5280, then divide by 3600.

40 * 5280 = 211200

211200 / 3600 = 58.6666..... [58 2/3]

Answer:

3/2

-4

Step-by-step explanation:

y = mx + c

m = slope = y2 - y1 / x2 - x1

= -4 -2 / 0 - 4

= -6/-4

= 3/2

c = y intercept

y when x = 0

c = -4

Answer:

[tex]y = \frac{2 - ( - 4)}{4 - 0}x - 4 \\ y = \frac{6}{4} x - 4 \\ y = \frac{3}{2} x - 4 \\ [/tex]

Answer:

4.5

Step-by-step explanation:

We are here given that ,

=> f(x) = 2x - 5

=> y = 2x - 5

Replace x and y with each other .

=> x = 2y - 5

solve for y ,

=> 2y = x +5

=> y = (x+5)/2

=> f-¹(x) = (x+5)/2

Now ,

=> f-¹(4) = 4+5/2 = 9/2 = 4.5

The number of hours worked by both Latisha and Demetrius is; 5x + 5(x+1)

According to the question:

The sum of both of them gives; 5x + 5(x +1).

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Answer:

i think its c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

because -100,-57/8,6

the absolute value of -6 is 6 and

-8 7/8 is 8×(-8)+7=-64+7/8=-57/8 because when negative plus positive we subtract and we take the sign of the larger number

Answer:

The r=.950

Step-by-step explanation:

The solution is: It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

For instance, the sequence 5, 7, 9, 11, 13, 15.. . is an arithmetic progression with a common difference of 2.

The nth term of AP : a_n = a + (n – 1) × d

here, we have,

Explanation:

Here, we want to know the number of times the digit occurs

We can solve this with arithemetic progression

The first term here is 105, while the last term is 995

However, the difference between each occurrence is 10

Thus, applying the formula:

T_n = a + (n-1) d

T_n is the last term which is 995

a is the first term which is 105

d is the common difference which is 10

n is the number of terms which we want to calculate

Substituting these values, we have it that:

995 = 105 + (n-1) 10

so, we get,

n = 900/10

  =90

Hence, It occurred 90 times does the digit 5 occur in all the numbers from 100-999 .

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complete question:

How many times does the digit 5 occur in all the numbers from 100-999 ?

Answer:

a. 266

b. if you were given the distance you can just do, the distance divided by 38

Step-by-step explanation:

A. 228/6=38

228+38=266

Answer:

Negative

Step-by-step explanation:

Slope is negative since as x increases, y decreases.

Answer:

f(x) = (x - 7)(x + 3)(x)(x - 4)

Step-by-step explanation:

It's just like the roots of a quadratic but with more factors

f(x) = (x - 7)(x + 3)(x)(x - 4)

Answer:

42.20

Step-by-step explanation:

132 ×0.32

=42.24

rounded off it give 42.20

Answer: -5

Step-by-step explanation:

Based on the graph given, the point that on the graph that corresponds with the shop's net worth when Rico opened it is -5.

The point that the shop was opened is represented by the value of the y axis when it was first crossed.

Looking at the graph, the line first intercepted the y axis at -5 which means that this was the shop's net worth when it was opened by Rico.

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Answer:

According to me answer is option C and E

Step-by-step explanation:

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Answer:

ok so first of all there is 14 sodas in the cooler(6+2+2+4)

and 6 of these 14 are cola 6/14 or 3/7

so 3/7 then to give your self one we multiple it by 3/7

3/7*3/7=0.18367346938

we multiple by 10

18.367346938

so the probility is 18.37%

Hope This Helps!!!

35.6 355⅝5555555555555555555545455555555

Answer:

x= - 3/5y +4/5

Step-by-step explanation:

isolate x:

5x+ 3y= 4

5x= -3y+ 4

x= -3/5y +4/5

Answer:

Step-by-step explanation:

Since we are to show by Pythagoras that  the square will fit inside the circle without touching the edge of the circle , this means that we must find the value of the length of the diagonal of the square using Pythagoras.

For the square to fit in without touching the edge of the circle , this means that the diagonal of the square must be less than the diameter of the circle.

Length of the square is 5cm.

Recall Pythagoras theorem: it states that

the square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides

=  +

= 25 + 25

= 50

Take the square root of both sides , that is

D =

D =  X  , since 50 = 25 x 2

D = 5

D ≈ 7.07

Step-by-step explanation: