what is the common ratio for the geometric sequence below written as a fraction 768, 300, 187.5

Answers

Answer 1

Answer:

r = 25/64

Step-by-step explanation:

Given GP:

768, 300, 187.5

Common ratio is the ratio of the next term to the previous term:

r = 300/768 =

Prime factors of both numerator and denominator added:

2 × 2 × 3 × 5 × 5/2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3  =

Same factors cancelled:

5 × 5/ 2 × 2 × 2 × 2 × 2 × 2 =25/64

Answer 2

Answer:

5/8

Step-by-step explanation:

i got it right on edg, trust me.


Related Questions

Need help please guys

Answers

Answer:

B.

Explanation:

π ≈ 3.142

22/7 ≈ 3.143

square root of ten ≈ 3.162

The answer is B) no problem

If m<9=97 and m<12=114, find each measure.

Answers

Angles in a transversal can be congruent either by theorems of corresponding and vertical angles.

The measure of the angles are:

[tex]\angle 1 = 97^o[/tex]

[tex]\angle 2 = 83[/tex]

[tex]\angle 3 = 66[/tex]

[tex]\angle 4 = 114^o[/tex]

[tex]\angle 5 = 83^o[/tex]

[tex]\angle 6 = 97^o[/tex]

[tex]\angle 7 = 114^o[/tex]

[tex]\angle 8 = 66^o[/tex]

[tex]\angle 9 = 97^o[/tex]

[tex]\angle 10 = 83[/tex]

[tex]\angle 11 = 66[/tex]

[tex]\angle 12 = 114^o[/tex]

[tex]\angle 13 = 83^o[/tex]

[tex]\angle 14 = 97^o[/tex]

[tex]\angle 15 = 114^o[/tex]

[tex]\angle 16 = 66^o[/tex]

Given that:

[tex]\angle 9 = 97^o[/tex]

[tex]\angle 12 = 114^o[/tex]

The following angles are congruent by theorem of vertical angles.

[tex]\angle 9[/tex] and [tex]\angle 14[/tex]

[tex]\angle 12[/tex] and [tex]\angle 15[/tex]

So, we have:

[tex]\angle 14 = 97^o[/tex]

[tex]\angle 15 = 114^o[/tex]

Apply the theorem of angles on a straight line, we have:

[tex]\angle 9 + \angle 10 = 180[/tex]

[tex]\angle 11 + \angle 12 = 180[/tex]

So, we have:

[tex]\angle 10 = 180 - 97[/tex]

[tex]\angle 10 = 83[/tex]

[tex]\angle 11 = 180 - 114[/tex]

[tex]\angle 11 = 66[/tex]

The following angles are congruent by theorem of vertical angles.

[tex]\angle 10[/tex] and [tex]\angle 13[/tex]

[tex]\angle 11[/tex] and [tex]\angle 16[/tex]

So, we have:

[tex]\angle 13 = 83^o[/tex]

[tex]\angle 16 = 66^o[/tex]

The following angles are congruent by theorem of corresponding angles.

[tex]\angle 9[/tex] and [tex]\angle 1[/tex]                 [tex]\angle 13[/tex] and [tex]\angle 5[/tex]                      [tex]\angle 10[/tex] and [tex]\angle 2[/tex]

[tex]\angle 14[/tex] and [tex]\angle 6[/tex]             [tex]\angle 11[/tex] and [tex]\angle 3[/tex]                     [tex]\angle 15[/tex] and [tex]\angle 7[/tex]

[tex]\angle 12[/tex] and [tex]\angle 4[/tex]               [tex]\angle 16[/tex] and [tex]\angle 8[/tex]

So, we have:

[tex]\angle 1 = 97^o[/tex]

[tex]\angle 4 = 114^o[/tex]

[tex]\angle 6 = 97^o[/tex]

[tex]\angle 7 = 114^o[/tex]

[tex]\angle 2 = 83[/tex]

[tex]\angle 3 = 66[/tex]

[tex]\angle 5 = 83^o[/tex]

[tex]\angle 8 = 66^o[/tex]

Read more about corresponding and vertical angles at:

https://brainly.com/question/14209455

ASAP!!!!! A square pyramid and its net are shown below. What is the surface area of the pyramid?

Answers

Answer:

800

Step-by-step explanation:

16x16=256

17x16=272

272/2=136

136x4=544

544+256=800

Parallel lines s and t are cut by a tranversal r. Which angles are alternate interior angles? <3 and <5 <1 and <7 <3 and <7 <4 and <5

Answers

Answer:

it Would be easier to answer with a picture but since these Question are normaly the same picture but it is Angle 3 and 7

Step-by-step explanation:

#NO ADDS

What kind of triangle?

Answers

Answer:

I think it's an obtuse scalene.

Step-by-step explanation:

I also think it’s an obtuse scalene

Euclid relied on five basic axioms to build the propositions in his book Elements. The first axiom states, “Things that are equal to the same thing are also equal to one another.” Which modern mathematical statement is equivalent to this axiom? Will give brainiest Asap If a = b, then b = a. If a = b and b = c, then a = c. If a ≠ b, then b ≠ a. If a = b, then a + c = b + c.

Answers

Answer: B

Step-by-step explanation:

Answer:

B. If a = b and b = c, then a = c.

Step-by-step explanation:

I just did it.

If (42)p = 414, what is the value of p? (1 point) Question 5 options: 1) 7 2) 8 3) 12 4) 16

Answers

i didn’t get an answer that matches your answer choices, but here are mine:
exact form: p = 69/7
decimal form: p = 9.857142
mixed number form: p = 9 (6/7)

Find the mid point (-5,3) and (-3,-3)

Answers

Answer:

(-4, 0)

Step-by-step explanation:

midpoint formula: (x₁ + x₂) / 2 , (y₁ + y₂) / 2

(-5, 3) & (-3, -3)

(-5 - 3) / 2 , (3 - 3) / 2

-8/2 , 0/2

(-4, 0)

The measure of AngleRST can be represented by the expression (6x + 12)°.

Three lines extend from point S. The space between lines S R and S U is 78 degrees. The space between lines S U and S T is 3 x minus 12.

What is mAngleRST in degrees?

78°
84°
120°
156°

Answers

Answer:

The Answer is: C.120

Trust me it is right.Good Luck:)

Answer:

∠ RST = 120°

Step-by-step explanation:

∠ RST = ∠ RSU + ∠ UST , substitute values

6x + 12 = 78 + 3x - 12

6x + 12 = 3x + 66 ( subtract 3x from both sides )

3x + 12 = 66 ( subtract 12 from both sides )

3x = 54 ( divide both sides by 3 )

x = 18

Thus

∠ RST = 6x + 12 = 6(18) + 12 = 108 + 12 = 120°

who can solve these!!!​

Answers

Answer:

1. 5 months2. 147 pages

Step-by-step explanation:

1....................................

Company A

75 + 20x

Company B

35x

Time required:

75 + 20x = 35x15x = 75x = 5 months

2....................................

Set up fee = $15

Additional fee= $0.17 per page

Max amount= $40

0.17x + 15 < 400.17x < 25x < 25/0.17x < 147

Max number of pages is 147

Step-by-step explanation:

the solution is attached

have a good day

Are the equations – 2x = 10 and -5x = 25 equivalent? ​

Answers

Answer: [tex]Yes[/tex]

Q: How are they the same answer?

A: You divide both of them by the number with x.

Divide both sides by -2

[tex]-2x/-2=10/-2\\x=-5[/tex]

Divide both sides by -5

[tex]-5x/-5=25/-5\\x=-5[/tex]

That's how both of them are equivalent to each other.

[tex]\text{Hey there!}[/tex]

[tex]\text{Are the equations -2x = 10 \& -5x = 25 equivalent?}[/tex]

[tex]\text{-2x = 10}[/tex]

[tex]\text{DIVIDE both sides by -2}[/tex]

[tex]\bf{\dfrac{-2x}{-2} = \dfrac{10}{-2}}[/tex]

[tex]\text{Cancel out \dfrac[-2x}{-2} because it gives 1}[/tex][tex]\text{Cancel out:}\ \bf\dfrac{-2x}{-2} \text{ because it gives you 1}[/tex]

[tex]\text{Keep:} \bf{\dfrac{10}{-2}}\text{ because it gives you the result of x}[/tex]

[tex]\bf{\dfrac{10}{-2} = -10\div2 \rightarrow -5}[/tex]

[tex]\boxed{\underline{\text{\bf{x = -5}}}}\checkmark[/tex]

[tex]\text{-5x = 25}[/tex]

[tex]\text{DIVIDE both sides by -5}[/tex]

[tex]\bf{\dfrac{-5x}{-5}= \dfrac{25}{-5}}[/tex]

[tex]\text{Cancel out:}\ \bf{\dfrac{-5x}{-5}}\text{ because it gives you 1}[/tex]

[tex]\text{Keep:}\ \bf{\dfrac{25}{-5}}\ \text{ because it gives you the result of x }[/tex]

[tex]\bf{\dfrac{-25}{5} = -25 \div 5 \rightarrow -5 }[/tex]

[tex]\boxed{\underline{\bf{x = -5}}}\checkmark[/tex]

[tex]\boxed{\text{To answer your question: \boxed{\bf{YES}} because both x's equal to -5}}[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]


The slope of the line represented by the equation 2(x - 3) - 6y = 10 is
equal to what?

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The equation of the line is;

2(x - 3) - 6y = 10

Placing the line in slope intercept form we get;

6y = 2x - 6 - 10

6y = 2x - 16

Dividing throughout by 6 we get;

y = [tex]\frac{2}{6}[/tex]x - [tex]\frac{16}{6}[/tex]

Simplifying gives;

y = [tex]\frac{1}{3} x +2 \frac{2}{3}[/tex]

So the slope of this line = [tex]\frac{1}{3}[/tex]

HELPP!!! Which of the following is a negative externality of a parent taking afternoon and
evening classes at a local college?

A potential career change and income decrease
A tighter schedule limiting time with children
The list of assignments due for each semester
The number of future job postings

Answers

B.) A tighter schedule limiting time with children

What is the speed of a car that traveled a distance of 75 km in 1.5 hours?

Answers

Answer:

50

Step-by-step explanation:

(I may be wrong)

I divided 75 km by 1.5

Answer: 50

Step-by-step explanation:

S=D÷T. So, The distance is 75 km and the time is 1.5 hours then 75÷1.5=50. 50 is the speed of the car


[tex]7y \times x49[/tex]
Whats the answer corectly​

Answers

Answer:

7y(x^49)

Step-by-step explanation:

Answer:

Whats X and what y

Step-by-step explanation:

What is -8-__=-5
And how do i do it step by step?

Answers

Answer:

-3

Step-by-step explanation:

-5 is greater than -8, so in order for a subtraction problem to give a higher number is if it is negative, because a negative negative is a positive.

-8--3=-5

This is another way of saying

-8+3=-5

What does constant growth and double mean

Answers

The doubling time is time it takes for a population to double in size/value. ... When the relative growth rate (not the absolute growth rate) is constant, the quantity undergoes exponential growth and has a constant doubling time or period, which can be calculated directly from the growth rate.

Please help! I’ll give brainliest!!
1. What is a proportion? Show example.
2. How do you solve propositions?
3. What is the “easy” method to solving proportions?

Answers

Answer:

1.a part, share, or number considered in comparative relation to a whole.

1/3 = 2/6

2.If a proposition is true, then we say it has a truth value of "true"; if a proposition is false, its truth value is "false". For example, "Grass is green", and "2 + 5 = 5" are propositions. The first proposition has the truth value of "true" and the second "false".

3.

Don't confuse cross multiplication with cross cancellation. You use cross cancellation to make multiplying fractions easier. Set the two cross products equal to each other. 1 · 2 = 2 and 0.5 · f = 0.5f.

convert 23456 octal into hexa number system

Answers

Answer:

272E

Step-by-step explanation:

Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?
2y - 12
2(y -12)
2(y + 12)
2y + 12

Answers

Answer:

A

Step-by-step explanation:

two times a quantity of number_ 2y

minus twelve-. 2y - 12

Answer: A

Step-by-step explanation:

if you can answer any of these please do and put the question number by the answer

Answers

19. 5x - 5 = 3x -9
2x = -4
x = -2

19. Answer is A

help meh please!!!!!! i think it is algebra 1. i am not so sure...........................................................................................................................................................................................

A rectangular plot has a diagonal of 39m and a width of 15m what is it's area​

Answers

Answer:

585m

Use the Pythagoreas' Theorem.

You will get the answer 585. Hope this helps!

Answer:

585m

Step-by-step explanation:

Answer gotta be 585m.

Use the Distributive Property to simplify. s 5 a solution to 2t - 1 = 11?

Answers

Answer:

5 is NOT a solution to the equation.

t = 6

Step-by-step explanation:

Step 1: Write out equation

2t - 1 = 11

Step 2: Add 1 to both sides

2t = 12

Step 3: Divide both sides by 2

t = 6

will give brainliest and 20 points:
f(x+1) = 8(x+1)^2+3(x+1)-8

Answers

Answer:

Step-by-step explanation:

The measure of two vertical angles are given by the expressions (x+3) and (2x-7). Find the value of x. ​

Answers

Answer:

61.3

Step-by-step explanation:

two vertical angles add up to 180°

so (x+3)+(2x+7)=180°

open brackets & collect like terms

x+3+2x-7=180°

3x+-4=180°

3x=184°

x=61.3 after dividing by 3 on both sides

Find a rational number and an irrational number that are between 9.5 and 9.7. Include the decimal approximation of the irrational number to the nearest hundredth. plz help

Answers

Answer:

9.6 - rational√91, √92 or √93 - irrational

Step-by-step explanation:

Rational number between 9.5 and 9.7:

An easy one is 9.6

Irrational number between 9.5 and 9.7

Let's find 9.5^2, 9.6^2 and 9.7^2:

9.5^2 = 90.259.6^2= 92.169.7^2= 94.09

One of the numbers could be √91, it is not a perfect square.

Approximate value:

√91 = 9.54

How do i find the vertex of the equation y=(x+5)(x+4)?

Answers

Answer:

Step-by-step explanation:

y=(x+5)(x+4)=x²+5x+4x+20=x²+9x+20=x²+9x+(9/2)²-(9/2)²+20

[tex]y=(x+\frac{9}{2} )^2-\frac{81}{4} +20\\y=(x+\frac{9}{2})^2-\frac{81}{4}+\frac{80}{4}\\y=(x+\frac{9}{2})^2-\frac{1}{4}[/tex]

vertex is (9/2,-1/4) or(4.5,-0.25)

HELP ME PLEASE WILL OD ANYTHUNIGN

Answers

Answer:

5.4ft²

Step-by-step explanation:

Area of yellow region

= area of square - area of circle

Area of square= side ×side

Area of circle= πr²

5ft is the length of a side of the square, as well as the diameter of the circle.

Diameter= 2 ×radius

Radius or circle, r

= 5 ÷2

= 2.5 ft

Area of yellow region

= (5 ×5) - π(2.5²)

= 25 -6.25π

= 5.4 ft² (to nearest tenth)

Jose can read 7 pages of his book in 5minutes . At this rate how long will it take him to read the entire 175 page book.​

Answers

Answer:

It will take 125 minutes or 2 hours and 5 minutes.

Step-by-step explanation:

We can use a proportion.

7 pages is to 5 minutes as 175 pages is to x minutes

7 : 5 = 175 : x

7/5 = 175/x

7x = 5 * 175

7x = 875

x = 125

It will take 125 minutes or 2 hours and 5 minutes.

the cost of a camp is $300 for the first week and $125 for each week beyond the first. the total cost can be modeled by the expression 300+125(x-l). what does (x-l) repreasent​

Answers

Answer: hopefully this helps

D. The number of weeks after the first week

Step-by-step explanation:

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