MATHEMATICS MIDDLE SCHOOL

Three geometric sequences are given below. Sequence A: 160,40,10,2.5,...
Sequence B: -21,63,-189,567,...
Sequence C: 8,12,18,27,....

Order the sequences from least common ratio to the greatest common ratio.

Answers

Answer 1

Answer:

Answer:

Sequence B, Sequence A, Sequence C

Step-by-step explanation:

Common ratio of a geometric sequence is the ratio of a term and its previous term of the sequence.

Thus, the common ratio of the sequence A: 160,40,10,2.5,...

$r_1=(40)/(160)=(1)/(4)$

The common ratio of the sequence B: -21,63,-189,567,...

$r_2=(63)/(-21)=-3$

The common ratio of the sequence C : 8,12,18,27,....

$r_3=(12)/(8)=(3)/(2)$

Since, -3 < $(1)/(4)$ < $(3)/(2)$

Thus,

$r_2 < r_1 < r_3$

Hence, the order the sequences from least common ratio to the greatest common ratio is,

Sequence B, Sequence A, Sequence C

Answer 2

Answer:

Answer:

A C B

Step-by-step explanation:

In sequence A. the numbers are being divided by 4.

In sequence B. the numbers are being multiplied by -3

In sequence C. the numbers are being add by 4

So the ratio from least to greatest would be A C B

Related Questions

You have nickels,dimes,and quarters to make a call that costs $0.75 how many different combinations of coins can you use to pay for the call
Does anyone know linear vs Exponential functions ?
a farm raises cows and chickens. the farmer has a total of 42 animals. one day he counts the legs of all animals of his animals and realizes he has a total of 114. how many cows does the farmer have? how many chickens?
How many rectangular faces does a triangular prism have
An astronaut drops a rock into a crater on the moon. The distance, d(t), in meters, the rock travels after t seconds can be modeled by d(t)=0.8t^2. What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?

How would u solve -2/3x+7=3?

Answers

Well first you would have to full get rid of that 7.

So, -2/3x+7-7=3-7 Which then equals -2/3x= -4

Then you would want to get x by it's self.

So, -2/3x x (-3/2)= -4 x (-3/2) Which then equals x= 6

So your answer is, x= 6

14. Harry needs to buy hamburgers and hot dogs for a picnic. He has only $41.00 to spend and must buy AT LEAST 98hamburgers or hot dogs. A store charges $.50 per hamburger and $0.25 per hot dog. Which of the following is a
possible way Harry might buy the hamburgers and hot dogs?
69 hamburgers and 28 hot dogs
64 hamburgers and 35 hot dogs
66 hamburgers and 33 hot dogs
78 hamburgers and 20 hot dogs

Answers

The possible way Harry buy the hamburgers and hot dogs is 66 hamburger and 32 hot dogs

What is Linear equation?

An equation between two variables that gives a straight line when plotted on a graph.

Given,

Price of hamburger = $0.50

Price of hot dog = $0.25

Consider,

Number of hamburger is x and number of hot dog is y

Then,

x + y = 98

y = 98 - x

0.50x +0.25y = 41

Substitute the value of y in this equation

0.50x + 0.25(98 - x) =41

0.50x +24.5 -0.25x = 41

0.25x + 24.5 = 41

0.25x =16.5

x = $(16.5)/(0.25) =66$

x + y = 98

Substitute the value of x

66 + y =98

y = 98 - 66

y = 32

Hence, the possible way Harry buy the hamburgers and hot dogs is 66 hamburger and 32 hot dogs

Learn more about Linear equation here

brainly.com/question/11897796

#SPJ2

Answer:

B: 64 hamburgers and 35 hot dogs

Step-by-step explanation:

64 x . 5 = 32 and 35 x .25 = 8.75

Add 32 + 8.75 = 40.75

What is the slope of the graph of 2x – 6y = 9? A.1/3

B.-1/3

C.3

D.-3

Answers

Let's make our equation in the form of y = mx + b

2x – 6y = 9

Add 6y on both sides

2x = 6y + 9

Subtract 9 on both sides

6y = 2x - 9

Divide 6 on both sides

y = 1/3 - 3/2

Now, we have it in the form of y = mx + b

In y = mx + b, m is the slope and b is the y-intercept

That means in y = 1/3 - 3/2, the slope is A) 1/3.

Your answer is A) 1/3

2x – 6y = 9
Slope is coefficient near x in y=kx+l
2x – 9 = 6y
1/3 x – 3/2 = y
k = 1/3

Find the like terms in the expression y+1.2y+ 1.2z.A. Y and 1.2y
B. 1.2y and 1.2z
C. Y and 1.2z
D. Y, 1.2y, and 1.2z
Simplify 2 + 17x – 5x + 9
A. 19x + 4
B. 12x + 11
C. 22x + 11
D. 15x – 4
Simplify 3(5y + 6) -4.
A. 11y + 14
B. 11y + 18
C. 15y + 14
D. 15y + 2
Factor 81 – 27p.
A 9(9 – 3p)
B. 27 (3 – p)
C. 27 (54 – p)
D. 27 (p – 3)

Answers

$1.\n\underline{y}+\underline{1.2y}+\underline{1.2z}\to\boxed{y;\ 1.2y;\ 1.2z\to\boxed{D}}$

$2.\n2+17x-5x+9=(17x-5x)+(2+9)=\boxed{12x+11\to\boxed{B}}$

$3.\n3(5y+6)-4=(3)(5y)+(3)(6)-4=15x+18-4=\boxed{15y+14\to\boxed{C}}$

$4.\n81-27p=27\cdot3-27\cdot p=\boxed{27(3-p)\to\boxed{B}}\nbut\n81-27p=9\cdot9-9\cdot3p=\boxed{9(9-3p)\to\boxed{A}}$

Answer:

ABCB

Step-by-step explanation:

Mason bought 64 ounces of modeling clay. How many pounds of clay did he buy?