What is the next fraction in this sequence? Simplify your answer. 4 5 , 2 3 , 8 15 , 2 5 , ...

Answers

Answer 1

Answer:

4/15

Step-by-step explanation:

To simplify this question, to make it easier to be solved, we try and make sure that all the fractions have the same denominator. This is done by saying

4/5

2/3

8/15

2/5

From the aforelisted numbers, the highest denominator is 15, and thus, we try to make all the denominators 15

4/5 * 3/3 = 12/15

2/3 * 5/5 = 10/15

8/15 * 1/1 = 8/15

2/5 * 3/3 = 6/15

I multiplied it that way, so that it's decimal value doesn't change, even as it gives us the required fraction.

From the new crop of fractions, we have

12/15

10/15

8/15

6/15

If there's anything, we can tell that the sequence is reducing in a -2/15 rate, and thus, our next sequence has to be 4/15


Related Questions

need some help please

Answers

Answer:

A(t)+900=x

B(t)+500=x

for the sake of things X represents the answer and as both need to equal the same it works out so that plugging it into a calculator should give you the answer

Step-by-step explanation:

you could start by making a T chart on one Side A the other B starting with 900 at A and 500 at B go down by the appropriate increments 950, 600;1000, 700; 1050, 800; 1100, 900, 1150, 1000; 1200, 1100; 1250, 1200, and you guessed it, 1300, 1300. so there you go X=1300

In 1-5, given: Two similar cylinders with heights of 8 and 5 respectively.

Answers

Answer:

1. The ratio of their diameters is 8/5 = 8 : 5

2. The ratio of their surface area is (8/5)²

3. The ratio of their volume is (8/5)³

4.The area of the base of the larger cylinder is 128 cm²

Step-by-step explanation:

Given that the two cylinders are similar, we have;

Two cylinders are similar when the ratio of their heights is equal to the ratio of their radii

Therefore, we have;

1. The ratio of the height of the two cylinders = 8/5 = The radio of their radii = r₁/r₂

The ratio of their diameter = D₁/D₂ = 2·r₁/2·r₂ = r₁/r₂ = 8/5

The ratio of their diameters D₁/D₂ = 8/5 = 8 : 5

2. The surface area of the cylinders = 2·π·r·h + 2·π·r²

Therefore, we have;

(2·π·r₁·h₁ + 2·π·r₁²)/(2·π·r₂·h₂ + 2·π·r₂²) = (r₁·h₁ + r₁²)/(r₂·h₂ + r₂²)

h₁ = h₂ × 8/5

r₁ = r₂ × 8/5

= (8/5)²(r₂·h₂ + r₂²)/(r₂·h₂ + r₂²)  = (8/5)²

The ratio of their surface area = (8/5)²

3. The volume of the cylinder = π·r²·h

∴ The ratio of the volume = (π·r₁²·h₁)/(π·r₂²·h₂) = (8/5)³ × (π·r₂²·h₂)/(π·r₂²·h₂) = (8/5)³

The ratio of their volume = (8/5)³

4. The ratio of the area of the base of the larger cylinder to the area of the base of the smaller cylinder is (8/5)²

Therefore if the area of the base of the smaller cylinder is 50 cm², the area of the base of the larger cylinder = 50 cm² × (8/5)²  = 128 cm²

Write the unit rate per video game. $78 for 4 video games. $ for video game. 100 points question better not be wrong or else

Answers

Answer:

78:4

Step-by-step explanation:

Pls help pls pls pls pls URGENT!!!!!!!!
PLS SOMEONEEEEE

Answers

female students that participate: 51
male students that don’t: 30

Answer:

1. 51

2. 30

Step-by-step explanation:

PLEASE HELP

Write the equation that models the linear relationship.

The equation ____ models the linear relationship

(Use integers or tractions for any numbers in the
equation)

Answers

y= -3x -5 should be the answer

I didn't pay attention in class for a few days and now I'm lost. if somebody could at least explain proportions I would be very thankful.

Answers

Answer:

A proportion is a comparison of two numbers that each represent the parts of a whole. Essentially, a proportion says that two fractions are the same, even if the amount is different. For example, 1/2 of 10 marbles is the same proportion as 1/2 of 50 marbles.

Step-by-step explanation:

» A group of 6 friends buy a video game that costs $60. They each
spend an equal amount of money. How much money does each
friend spend?
1» Let m stand for how much money each friend spends. Which equations
can be used to solve the problem? Choose ALL the correct answers.
m = 60 x 6
m= 60 = 6
m = 6 x 60
60 = 6 x m

Answers

Answer:

m = 60/6

60 = 6 x m

Step-by-step explanation:

Storage units are numbered 1 through 50. What is the probability that the operator will choose a unit that is not a multiple of 8?

Answers

Answer:

22/25

Step-by-step explanation:

Multiples of 8 betwen 1 - 50 =

8

16

24

32

40

48

there are 6 multiples of 8

Numbers that are not multiples of 8 = 50 - 6 = 44

Probability  the operator will choose a unit that is not a multiple of 8 = 44/50

Expressing in simpler terms = 22/25

Simplify the expression

Answers

Answer:

(3 x)/(5 x + 2)

Step-by-step explanation:

Simplify the following:

(3 x^2)/(5 x^2 + 2 x)

Hint: | Factor common terms out of 5 x^2 + 2 x.

Factor x out of 5 x^2 + 2 x:

(3 x^2)/(x (5 x + 2))

Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).

Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):

(3 x^(2 - 1))/(5 x + 2)

Hint: | Evaluate 2 - 1.

2 - 1 = 1:

Answer:  (3 x)/(5 x + 2)

Answer:

The answer is [tex]\frac{3x}{5x+2}[/tex]

Step-by-step explanation:

1) Factor out the common term x.

[tex]\frac{3x^{2} }{x(5x+2)}[/tex]

2) Simplify.

[tex]\frac{3}{5x+2}[/tex]

Thereofor, the answer is Option D.

What is an equation of the line that passes through the points (0,5) and (-5,7) Put your answer in fully reduced form

Answers

Answer:

y = 2/5x + 5

Step-by-step explanation:

I assume you want the equation in point slope form? So assuming that, (0, 5) is the y intercept which is b in the equation y=mx+b (b=5). Now you have to find the slope, paper is really handy (I like drawing a graph out to help me sometimes but an easy way to do it is another equation like this...

y2-y1/x2-x1=

7-5/-5-0=

2/5 --> So 2/5 is the slope, and that finishes the equation

Final equation in point slope form: y=2/5x+5

HOPE YOU UNDERSTAND NOW!!!! :)

The equation of the line that passes through the point (0, 5) and (-5, 7) is

y = - 2/5 x + 5

The equation can be represented in the slope intercept form below

y = mx + b

where

m = slope

b = y- intercept

(0, 5)(-5, 7)

The slope can be found below

m = 7 - 5 / -5 - 0  = 2 / -5 = - 2/5

Therefore, using y = mx + b format

y = -2/5 x + b

let's find b using the coordinate  (0, 5)

5 = - 2 /5 (0) + b

b = 5

Finally, the equation is

y = - 2/5 x + 5

read more: https://brainly.com/question/16569095?referrer=searchResults

The net of a rectangular prism is shown below. Each square represents 1 square unit.
What is the total surface area of the net shown?

Answers

Answer:

56 units²

Step-by-step explanation:

There are two bases of 3x4 and 4 sides of 2x4

Total surface area is:

2(3*4) +4(2*4) = 56 units²

Drake produced 52 songs last year. If each new album has 15 songs on it, how many of his songs were not released on an album?

Answers

Answer:

7

Step-by-step explanation:

If each album has 15 songs, 15 * 3 = 45 so 52 - 45 = 7. Therefore, Drake produced 7 songs not in an album.

Calculate the distance the train will travel in 3/4 hour.

Answers

Answer:

what is the speed of the train? if that is miles per hour just figure out what 75% is of that number

Step-by-step explanation:

Lucas is borrowing money to purchase a vehicle. A car dealership will loan Lucas $18,000 with a simple interest rate of 14.5% applied annually, and a 5-year payout plan. The bank will loan Lucas $18,000 with a compound interest rate of 8.9% applied annually and a 4-year payout plan. What is the difference in the total payback amounts?

Answers

Answer:

Difference in total payback = $5734.64

Step-by-step explanation:

Formula for the simple interest payout,

Interest = [tex]\frac{P\times r\times t}{100}[/tex]

P = Principal amount of loan

r = rate of interest (Annually)

t = Duration for the payment

Interest = [tex]\frac{18000\times 14.5\times 5}{100}[/tex]

             = $13050

Total payable amount = 18000 + 13050

                                     = $31050

Formula for the amount payable with compound interest,

Final amount = [tex]\text{Initial amount}(1+\frac{r}{n})^t[/tex]

Here, t = Duration of investment

r = rate of interest (Annual)

n = Number of compounding per year

Payable amount = [tex]18000(1+\frac{0.089}{1})^4[/tex]

                           = 18000(1.089)⁴

                           = $25315.36

Difference in total payback = $31050 - $25315.36

                                              = $5734.64

If Lucas takes the 5-year payment plan he will end up paying $31,050. If Lucas takes the 4-year payment plan he will end up playing $24,408. Hope it helps.

Please answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!

Answers

Answer:(-6.5,-5)

Step-by-step explanation:

 P = (3A +1B)/(3+1)

 P = (3(-7, -9) +(-5, 7))/4 = (-21-5, -27+7)/4 = (-6.5, -5)

Escreva uma equação do 2 grau que tenha: a) - 5 e 3 como raízes. b) x, +x, = 17 x, x = 70, sabendo que x, e x, são as raízes. = = C) 0 e 6 como raizes. d) Duas raízes reais iguais. e) Nenhuma raiz real.

Answers

Can u translate in English for me

The average area of a bedroom in a home is 219 square feet with a standard deviation of 32.5 square feet. What is the largest a bedroom can be and be among the smallest 25% of bedrooms in a home?

Answers

Answer:

197.095

Step-by-step explanation:

Mean, m = 219 ft²

Standard deviation, s = 32.5 ft²

For a bedroom to be among the smallest 25%

P(x < Z) = 0.25

From Z probability calculator, this corresponds to a Zscore of - 0.674

Recall :

Zscore = (x - m) / s

x = bedroom size

-0.674 = (x - 219) / 32.5

-0.674 * 32.5 = x - 219

-21.905 = x - 219

x = - 21.905 + 219

x = 197.095

Hence, the largest a bedroom can be and still be among the smallest 25% is 197.095

PLEASE HELP Determine W and X in Circle M

Answers

your answer will be

w=16°

X=148°

Step-by-step explanation:

hope it helps you

have a great day!!

How do I find the geometric mean of 275 and 11??

Answers

Answer:

The geometric mean of x=275 and y=11 is 55

Step-by-step explanation:

find the value of given expression

[tex] \sqrt{35 \times 35} [/tex]

Answers

35 is the answer to the question

Sierra has enough fencing to make three chicken coops shown each has the same perimeter which has the greatest area?

Answers

Answer:

Top left triangle has the greatest area

Step-by-step explanation:

Area of a triangle:

area = base × height / 2

a = bh/2

Top Left Triangle:

a = 6 × 5.2 / 2

a = 31.2 / 2

a = 15.6

Top Right Triangle:

a = 8 × 2.9 / 2

a = 23.2 / 2

a = 11.6

Bottom Left Triangle:

a = 2 × 7.9 / 2

a = 15.8 / 2

a = 7.9

Compare areas:

15.6 > 11.6 > 7.9

how long would it take the snail to crawl 65 inches
a 60
b 6.5
c 6
d 65

Answers

Answer:

6 minutes is the most reasonable time to crawl 65 inches.

The answer is 6 minutes

There are 20 boys in Mrs. Shaw’s 3rd-period class. 11 of the boys are from Benignus. What percent of the boys came from Benignus?

please hurry
6th grade math

Answers

11/20 times 100% = 55%

The measures of the angles of a triangle are shown in the figure below. Solve for x.

Answers

Answer:x=3

Step-by-step explanation:

the 3 angles of a triangle equal 180

you add 105 and 46, which equals 151

you subtract 151 from 180 to see what the missing angle is (29)

you would make 6x+11 equal to 29

-subtract 11 from 29= 18

6x/6, 18/6

the answer is 3

hope this helps! :)

15 POINTS!!!!!

Choose the postulate used to prove the triangles are congruent. If they are not congruent, choose "Not Congruent"

A. SAS

B. AAS

C. ASA

D. SSA

E. Not Congruent ​

Answers

Answer:

A. SAS

the triangle is congruent by side angle and side

A. SAS Hope this help

What is the graph of the equation y + 3 = 2(x + 3)?

Answers

Answer:

y + 3 = 2(x + 3)

[point-slope; y – y₁ = m(x – x₁)]

y = 2x + 3 [slope-intercept; y = mx + b]

2x – y = -3 [standard form; ax + by = c]

Hi! i'm showing this to my sister and she wants to know, At a yard sale, Jennifer sold 2 tricycles for $22.50 each, 3 old video games for $2.75 each, a video for $5.00, and a dictionary for 75 cents. How much money did she make?

Answers

45+8.25+5+0.75 is what you need to add

Jennifer made $59.

$22.50 times 2 is $45 and $2.75 times 3 is $8.25, the sum of these numbers is $53.25.

$5 plus $0.75 is $5.75, and the sum of $5.75 plus $53.25 is exactly 59 dollars.

If this is incorrect, please, don't refrain to tell me.

Write an equation of the line in slope-intercept form. (0,2)(3,3)​

Answers

Answer:

Slope = 1/3

Step-by-step explanation:

Hope this helps.

M=y2-y1/x2-x1
= 3-2/3-0 =1/3
Y=mx+b
Y=1/3x +b
X=0
Y=2
2=1/3(0)+b
b= 2
Y=1/3x + 2

Calculator
1.) There are 200 total students in the 7th grade. 84 students
participate in only athletics. 56 students only participate in a music
class. The remaining students do not participate in music or athletics.
Find the percentage of each category. Round to the nearest whole
percent.
Athletics:
% Music:
% Neither:
%

Answers

Music 28%

Athletics 42%

Neither 30%

Write the equation of the line that passes through the points (3, -2)
and (5, -9). Put your answer in fully reduced point-slope form,
unless it is a vertical or horizontal line.

Answers

start with determining the slope ((-9 - (-2))/(5 - 3) = -7/2. Now use the point slope formula y - y1 = m(x - x1). y - (-2) = -7/2(x - 3). Distribute the -7/2, y + 2= -7/2x + 21/2. Combine like terms y = -7/2x + 17/2. You can also write this as y = -3.5x + 8.5
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