Find the 8th term of the geometric sequence 6, 18, 54

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

From the question, we are to determine how much money there are in each box

From the given information,

"Debbie has 340 dimes in three boxes"

Let x represents the number of dimes in the first box

y represent the number of dimes in the second box

and z represent the number of dimes in the third box

Thus,

x + y + z = 340

Also, from the given information

"she says that there are 4 times as many dimes in the first box as in the second"

x = 4y

and

"3 times as many in the third box as in the first"

z = 3x

Substitute the second and third equations into the first equation

x + y + z = 340

4y + y + 3x = 340

4y + y + 3(4y) = 340

4y + y + 12y = 340

17y = 340

y = 340/17

y = 20

Substitute the value of y into the second equation

x = 4y

x = 4(20)

x = 80

Substitute the value of x into the third equation

z = 3x

z = 3(80)

z = 240

Thus,

There are 80 dimes in the first box

80 dimes = 8 dollars

There are 20 dimes in the second box

20 dimes = 2 dollars

There are 240 dimes in the third box

240 dimes = 24 dollars

Hence,

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

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From properties of parallel lines the value of the indicated angle is 84° and the value of x is 4°.

Parallel lines are two lines that are equidistant from one another.

For the question 7 the two lines are parallel and the indicated angle is an alternate interior angle to the given angle. Hence the indicated angle is also 84°.

For question 8, the two angles are alternate exterior angles.

Hence they are equal. Therefore we can write a linear equation in x to solve for x.

21x+6=90

or, 21x=84

or, x=4°

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Answer:

The figure A is translated from the third quadrant to the second quadrant thus the formula used is P(x,y) = T(a,b) = Image of P(x+a, y+b). The object A and its image B are congruent and the direction and magnitude of the displacements are given by the direction and magnitude of translation vector t = ( a,b ). Where, a is the horizontal displacement ( along x-axis ) and b is the vertical displacement ( along y-axis ).

The angle which is as described in the task content is; 0°.

If we assume the angle in discuss is; x.

It's complement is therefore; (90-x).

Therefore, since the complement of the angle is 90° less than the supplement; we have;

90 - x = 180 - 90

90 - x = 90

x = 0°

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Answer:

The possible answer i giot when solving was: 2094.1

when rounded to the nearest tenth.

Answer:

62.8 in

Step-by-step explanation:

The circumference, C.  of a circle with diameter d is given by the formula

[tex]C = \pi d[/tex]

Here  [tex]\pi = 3.14[/tex] and [tex]d = 20[/tex] in

So circumference = 3.14 x 20 = 62.8 inches

The cost of a dozen of eggs is $3.

Given two dozen eggs and a loaf of bread cost K4.94 and

Half a dozen of bread cost K2.32

Cost of a dozen of eggs = ?

we know that, 24E ₊ B = 8.50 and

6E ₊ 2B = 6.50

multiply the first equation by 2 and substract

48E ₊ 2B = 17

6E ₊ 2B = 6.50

after solving both equations we get:

42E = 10.50

we are searching for the value of a dozen eggs, which is 12E

multiply 42E = 10.50 by 12/42 = 6/21

and you get

12E = 10.50 × (6/21) \\ 10.50 = 21/2

12E = (21×6)/(2×21)

12E = 3

so a dozen eggs cost 3 dollars.

Hence we get the cost of a dozen of eggs as $3

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The inequalities are x + y <= 15 and y <= 10.

It should be noted that inequality are used to how the relationship between expressions that are unequal.

Let x = the number of vanilla cakes.

Let y = the number of chocolate cakes.

They need at most 25 cakes. This will be x + y <= 15.

They cannot have more than 10 chocolate cakes. This will be:

y <= 10.

Therefore, the inequalities are x + y <= 15 and y <= 10.

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Of the given options, the one that is NOT a voluntary response sample is B. Quiz scores from a college level statistics course are analyzed to determine student progress.

A voluntary response sample refers to a sampling method where those who are to be in the sample are asked to be in the sample. They will have a choice on accepting the offer to be in the sample.

When quiz scores from a college level statistics course are used as the sample, this is not a voluntary response sample as the students who had the scores were not consulted.

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The circumference of each cookie is 25 cm.

Circumference is usually referred to the outer length of a circle.

If 'r' is the radius of a circle, then the circumference of the circle is given by 2πr, where π = 3.14.

Here, the radius of the each cookie, r = 4 cm

Then the circumference of each cookie = 2πr

                                                                  = 2 x 3.14 x 4

                                                                  = 25.12

                                                                  = 25 cm  

[Rounding to the nearest tenth, as 1 and 2 are less than 5, 25.12 will be 25]

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Answer: 2pi thats all the answer is

Step-by-step explanation:

i dont have one just enjoy the answer, brainliest please

Es preciso transformar un número mixto en una fracción impropia cuando se requiere calcular la cantidad asociada al número en formato decimal.

En esta pregunta vamos a abordar dos tipos de notación utilizadas entre los números racionales, esto es, números reales de la forma m / n, donde m y n son números enteros y n es distinto de cero.

Tanto los números mixtos como las fracciones impropias son utilizadas para representar números reales mayores que 1, cuyas diferencias se enumeran a continuación:

Es preciso transformar un número mixto en una fracción impropia cuando se requiere calcular la cantidad asociada al número en formato decimal.

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Answer:

x would equal -1.03(1 DP)

"-26x - 12 = 15, solve for x."

Step-by-step explanation:

Start with adding 12 to both sides of the expression. Sides were switched purposely.

[tex]15 + 12 = -26x - 12 + 12[/tex]

Next, simplify your addition process. You do this by using a specific rule.

[tex](-a) = a\:\:\mathrm{if\:a\neq 0}\\-26x = 26x\\26 + (x)\\= 26 + 1\\= 27\\= -26x=27[/tex]

Lastly, we are going to divide both sides by -26(x was cancelled).

[tex]\frac{-26x}{-26}=\frac{27}{-26}[/tex]

Thus,

[tex]x= -1.03[/tex]

➲ Hope this helps, address any concerns if needed.

Answer:

x = -1.038

Step-by-step explanation:

- 26x - 12 = 15

- 26x = 15 + 12

- 26x = 27

x = - 27/26

x = - 1.038

__________

hope this helps!

Answer:

23.66

Step-by-step explanation:

you just subtract the two.

100.00 - 76.34 = 23.66

Answer:

Step-by-step explanation:

This is a fraction equal to

455 miles ÷ 7 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 7

455 miles ÷ 7

7 hours ÷ 7

=

65 miles

1 hour

=

65 miles

hour

= 65 miles per hour

We get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.

An equation is a combination of two expressions connected by an equal sign.

We are given an equation:

x / 5 = 7 / 3

We need to find the value of x.

Multiply both sides by 5

x / 5  × 5 = 7 / 3 × 5

x = 35 / 3

Now, we will divide 35 by 3 and round off the result to two decimal places:

x = 11.67

Therefore, we get that, the value of x is 11.67 when the equation is x / 5 = 7 / 3.

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Answer:

33915

Step-by-step explanation:

87% is the average, so you have to find 87% of 4500.

Answer:

6[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Another way to write 5 2/3 is to change this into an improper fractions.  Another names for 1 is 3/3.  I am going to add 5, 3/3 to 2/3

3/3 + 3/3 + 3/3 + 3/3 + 3/3 + 2/3 = 17/3

We want to add this to 11/12, but to do that we need a common denominator.  I need to make an equivalent fraction of 17/3 where 12 is the denominator

[tex]\frac{17}{3}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{68}{12}[/tex]  Now we can add the two fractions together.

[tex]\frac{68}{12}[/tex] + [tex]\frac{11}{12}[/tex] = [tex]\frac{79}{12}[/tex] = 6[tex]\frac{3}{4}[/tex]

Answer:

21

Step-by-step explanation:

If A 45 translates to be 35, then x can be given by (35×27)÷45 =21

Answer:[tex]-x+4[/tex]

Step-by-step explanation:

Combine like terms:

[tex](4x+-5x)+(5+-1)[/tex]

[tex]= -x+4[/tex]

The least Andrew's average could possibly be when he goes up to bat the tenth time of the series is 0.399.

Here, we are given that,

Andrew's batting average = 0.400

Number of career hits for 0.400 batting average = 2000

Previous bat times for 0.400 batting average = 5,000

Now,

For the least possible average, he must have zero career hits in every match he bats.

Before the tenth time of the series, he will bat in 9 times

He must have 0 career hits in these 9 matches he bats in

therefore,

The total number of career hits = 2000

Total number of bat times = 5,000 + 9 = 5,009

Hence,

Average = (Total career hits) ÷ (Total number of times he bats)

= 2000 ÷ 5,009

= 0.399

Thus, the least his average could possibly be when he goes up to bat the tenth time of the series is 0.399.

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Answer:

The missing side length is 11.

Step-by-step explanation:

On the smaller figure the AB side is 6 and on the bigger figure the XY side  is 9. There was an increase of 3 so that means there will be an increase of 3 on  the XZ side compaered to the AC sdie witch is 8. 8 + 3 = 11.

Answer:

X=25.5

Step-by-step explanation:

First we need to apply supplementary angles.

We see that angle EGH is 78 degrees. Since Angle BEC falls on the same line as EGH we can easily calculate the Angle for BEC

Supplementary angles add up to 180. 78+x=180

180-78 is 102

4x=102

divide both sides by 4

x=25.5

If there are 31 horses competing in a show, then the blue, red, and yellow ribbons can be awarded in 26970 different ways.

As per the question statement, 31 horses are competing in a show.

We are required to calculate the number of ways in which the blue, red and yellow ribbons can be awarded.

To solve this question, first, we need to know a basic rule of horse shows, which is the 1st place or the winner is awarded with a blue ribbon, the second place or the runners-up is awarded with a red ribbon and the third place or the second runners-up is awarded with a yellow ribbon.

That is, in simpler terms, we have to calculate the number of different ways, in which the first, second and third places can be achieved between 31 different horses, each having equal probability of winning.

To solve this question, we just need to know the formula of permutation which goes as [tex][(nPr)=\frac{n!}{(n-r)!} ][/tex],  i.e., we are to select an ordered set or "r" from a set of "n".

As per our question, (n = 31) and (r = 3), and using these in the above mentioned formula of permutation, we get

[tex](31C)=\frac{31!}{(31-3)!}=\frac{31!}{28!} =\frac{28!*29*30*31}{28!}=(28*29*30)=26970.[/tex]

That is, the blue, red and yellow ribbons can be awarded in a show with 31 horses as contestants in 26970 different ways.

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13 degrees mPQT = 1 degree in internal angle .

An illustration of an internal angle?

mPQR=25 degrees , mRQT=11 degrees.

mPQT=PQR-RQT

MPQT=25-11=13 degrees

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Answer: 35:30, because 65-30 equals 35 and if you do the empty spaces which there are 35 to the filled spaces which there are 30 it will become your answer of 35:30.

Hope this helps!

The solution is 7 : 6

The ratio of proportion of the empty spaces to the filled spaces is 7 : 6

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the total number of parking spaces be = P

The value of P = 65 spaces

Now , the number of spaces that are filled with cars = 30 spaces

So , the remaining number of spaces = the empty spaces

The remaining number of spaces = total number of parking spaces - number of spaces that are filled with cars

Substituting the values in the equation , we get

The remaining number of spaces = 65 - 30

The remaining number of spaces = 35 spaces are empty

Now , the ratio of empty spaces to filled spaces is given by

Ratio of empty spaces to filled spaces = 35 : 30

On simplifying , we get

Ratio of empty spaces to filled spaces = 7 : 6

Therefore , the proportion is 7 : 6

Hence , The ratio of the empty spaces to the filled spaces is 7 : 6

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