1 over 3 , 3 over 4 ,4 over 7 , 7 over 11, 11over 8 .... (i)one termof this sequence is p over q . Find the term of p and q , the next term in this sequence . Find the 6th term of this sequence 1).... 2).....

Answers

Answer 1

Answer:

Next term will be the 6th term i.e. a₆ will be:

a₆ = 14/11

Here:

p = numerator = 14q = denominator = 11

Step-by-step explanation:

Given the sequence

[tex]\frac{1}{3},\:\frac{3}{4},\:\frac{4}{7},\:\frac{7}{11},\:\frac{11}{8},...[/tex]

First of all the terms of the sequence are in p/q form, where p is the numerator and q is the denominator.

As the fifth term of the sequence is:

a₅ = 11/8

From the given sequence it is clear that the numerator is changing by 3 units and the denominator is also changing by 3 units.

Thus,

The next term will be the 6th term i.e. a₆ will be:

a₆ = 14/11

Here:

p = numerator = 14q = denominator = 11

Related Questions

3.4+12a divided by 4 for a = 10

Answers

Answer:

the answer to your question is 33.4

Hellllllllppppppppppppppppppppppp

Answers

Answer:

All of the degrees add up to 90. Therefore, right angle.

Patrick Mahomes had 229 passing yards in his last football game.
Calculate 229 yards into feet.
O 513 feet
O 452 feet
O 528 feet
O 687 feet

Answers

Answer:

687

Step-by-step explanation:

1 yard=3 feet

229 yds x 3 ft=687 ft

I have a picture that is 30 inches wide and 20 inches tall. I would like the
picture to be a smaller scaled copy, and it needs to be 10 inches tall. How
wide should the new picture be?*

Answers

Answer:5 inches

Step-by-step explanation:

4 4/10 divided by 4 2/3

Answers

Answer: Responding for points

Step-by-step explanation:

Answer:

33/35

Step-by-step explanation:

I think

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for green, 1/15 for blue, 1/20 for pink, and 1/5 for red. What is the probability of pulling a red or pink card, written as a reduced fraction?

Answers

Answer:

Step-by-step explanation:

0.2(red) + 0.05(pink)

=0.25

=1/4

ALLWAYS REMEMBER OR MEANS ADD AND AND MEANS MULTIPLY

The probability of pulling a red card or a pink card is [tex]\frac{1}{4}[/tex].

Probability:The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.Step-by-Step Solution -

To remember -

'OR' means add.'AND' means multiply. [tex]0.2(red)+0.05(pink)\\= 0.25\\=\frac{1}{4}[/tex]

Therefore, the probability of pulling a red card or a pink card is [tex]\frac{1}{4}[/tex].

Know more about probability here:

https://brainly.com/question/24756209

#SPJ2

help ASAP Which expressions have a value equal to or greater than 13?


A. five sixths x 13


B. 4 x 13


C. three fourths x 13


D. ten tenths x 13

Answers

Answer:

D. ten tenths x 13

Step-by-step explanation:

ten tenths are equal to one meaning that expression is equal to 13

1 x 13=13  

Image by Scientif3
Name all of the obtuse angles that share a side with ZVON.
A. ZNOS, ZNOP, ZNOQ, VOS, ZV00, ZVOP
B. ZNOS, ZNOT, ZNOV, ZVOR, ZVOU, ZVOP
C. ZNOS, ZNOT, ZNOR, ZVOR, ZVOQ, ZVOP
D. ZNOS, ZNOT, ZNOU, ZVOR, ZVOQ, ZVOP
Please select the best answer from the choices provided

Answers

I think it’s A it looks like it so I think it is

Leo found an orange caterpillar and a green caterpillar in his backyard. The green caterpillar was 3 1/3 inches long and the orange caterpillar was 1 2/3 inches long. How much longer was the green caterpillar than the orange caterpillar?

Answers

Answer:

the green caterpillar is 5/3 inches or 1 2/3 inches longer than the orange caterpillar

Step-by-step explanation:

Subtract 3 1/3 by 1 2/3

Answer:

1 2/3 in longer

Step-by-step explanation:

Green: 3 1/3 = 10/3 (Multiply the whole number by the denominator and add that to the numerator for the new numerator).

Orange: 1 2/3 = 5/3

Difference: 10/3 - 5/3 = 5/3 (When subtracting fractions with the same denominators, just subtract the numerators and leave the denominators the same).

5/3 = 1 2/3 (To convert to a mixed number, divide numerator by denominator. The remainder is the new numerator and the quotient is the whole number).

Timed!! Answer hurry!

Answers

45/65 equals .6923, so D is the right answer

The scale on a map indicates that 1 inch corresponds to an actual distance of 115 miles . Two cities are 7.5 inches apart on the map . What is the actual distance between the two cities?

Can someone please help me with this question I don’t understand it. Thank you

Answers

Answer:

it is 862.5

Step-by-step explanation:

each inch is 115 miles, so if theres two inches theres double the amount that there would be if there was 1 inch, so if theres 7 inches then you would have 7 times the amount it would be if there was 1 inch, in this situation theres 7.5 so you would multiply the 115 miles by 7.5 becuase that's how many inches there is, so multiplying that is the same as adding 115 plus 115 plus 115, and so on till you get the amount you need. did this help?

Can someone help me?

Answers

In the first problem M bisects like AB. Because one side is thirteen we know the other side is too. So in total the line is 26. The ray MC bisects the line AB in line two. One side is eight so the other is eight. The line in total is 16

I need helpppp (10 points )

Answers

Answer:  The flagpole is about 22.3 feet tall.

This is roughly the size of a two story building, assuming each floor is 10 feet or so.

Since this height is under 25 ft, this flagpole is in compliance with the regulation.

=====================================================

Work Shown:

The horizontal leg of the triangle is 36 ft. This is the adjacent leg to the reference angle 25 degrees.

The vertical leg of the triangle is x-5.5, and this leg is the opposite side to the reference angle 25 degrees.

Use the tangent rule to connect the opposite and adjacent sides.

Solve for x.

tan(angle) = opposite/adjacent

tan(25) = (x-5.5)/36

36*tan(25) = x-5.5

x-5.5 = 36*tan(25)

x = 36*tan(25)+5.5

x = 22.28707569358

x = 22.3 ft is the approximate height of the flagpole

Make sure your calculator is in degree mode.

The height is not over 25 ft, so this flagpole meets the requirements.

3 r = 7/10 can anyone explain me how to do it please.

Answers

Answer:

3r = 7/10

3r = 0.7

r = 0.7/3

r = 0.23

Step-by-step explanation:

List the number from greatest to least 3/2, 0.75,-24,-3/2

Answers

Answer:

3/2, 0.75,-3/2, -24

Step-by-step explanation:

I think that's the answer

simplify the fraction 15/20

Answers

15/20

Figure out what number to use for simplify

Which is 5

Divide the numerator and denominator by 5

15/5=3

20/5=4

Answer:3/4

Find the solution set of the inequality
- 4x + 35 > 2

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x < 33/4

Interval Notation:

(− ∞, 33/4)

At the Fast-Pack It shipping, the employees can unload 25 trucks in 5 hours. Which of the following is a correct unit rate for this situation? (4 points)

5 hours per truck
1 truck per hour
1 over 5. of a truck per hour
1 over 5. of an hour per truck

Answers

Answer:

five trucks per hour

Step-by-step explanation:

Keisha runs 7 miles in 60 minutes. At the same rate, how many miles would she run in 24 minutes?​

Answers

Answer:(24/60)*7=2.8 miles

Step-by-step explanation:

24/60x7

The answer is 2.8 miles

Find a quadratic function that includes the set of values below.
(0,4), (2,10), (4,0)
The equation of the parabola is y=

Answers

Answer:

Step-by-step explanation:

The standard form is (x - h)2 = 4p (y - k), where the focus is (h, k + p) and the directrix is y = k - p. If the parabola is rotated so that its vertex is (h,k) and its axis of symmetry is parallel to the x-axis, it has an equation of (y - k)2 = 4p (x - h), where the focus is (h + p, k) and the directrix is x = h - p.

Student #2:

4x + 1 ≤ -4
x + 1 ≤ -1
x ≤ -2


Solved the inequality incorrectly but graphed their solution correctly.
Solved the inequality incorrectly and graphed their solution incorrectly.
Solved the inequality correctly and graphed their solution correctly.
Solved the inequality correctly but graphed their solution incorrectly.

Answers

Answer:

B

Step-by-step explanation:

Answer:

The student solved the inequality correctly, but the graph incorrectly represents the solution calculated.

Step-by-step explanation:

What is the measure of

Answers

Answer:

m∠B = 105°

Step-by-step explanation:

Given

A = x+5B = 3xC = x

We know that the sum of angles in a triangle = 180°

A + B + C = 180°

x + 5 + 3x + x = 180°

5x + 5 = 180°

5x = 180° - 5

5x = 175

x = 175 / 5

x = 35

Thus, the measure of ∠B will be:

m∠B = 3x

         = 3(35)

         = 105°

m∠B = 105°

After complaining about the bonus plans, you wake up
on Conglomo's private island, where you break big rocks
into smaller rocks for $10 a day. There are 999 other
employees on the island, 998 of whom get paid the same
way you do. The last employee is your overseer, who is
paid $10 million per year.
What is the mean and median income for
workers on Super Happy Fun Island?
Which method of describing central tendency
better represents this data? Why?

Answers

Answers:

mean annual income =  $13,646.35

median annual income = $3,650

The median is a better measure of center

=======================================================

Explanation:

If you earn $10 a day, and do so for 365 days, then you earn 365*10 = 3650 dollars per year.

If there are 999 employees earning this amount, then the amount earned is 999*3650 = 3,646,350

Add on the 10,000,000 to get

10,000,000+3,646,350 = 13,646,350

The total amount earned is $13,646,350

Divide this over the 1000 people (999 workers + 1 boss)

We get: (13,646,350)/(1,000) = 13,646.35

The mean is annual income is $13,646.35

--------------------------------

The median is the middle most value. If you list out the pay amounts of just the workers, you'll get the list:

{3650, 3650, 3650, ..., 3650}

We will have 999 copies of 3650 listed out. You don't have to list all 999 of them. Just a few is a good start. The three dots indicate the pattern goes on until we reach the 999th item.

If we then tack on the overseer's pay, then we have the list

{3650, 3650, 3650, ..., 3650, 10 million}

I'm using "million" instead of the digits to avoid using commas here.

The middle won't change due to one item being tacked onto the end. The middle is going to be 3650 either due to it being part of the set, or we find the midpoint between 3650 and 3650, which averages out to 3650.

The median income is $3,650

-----------------------------------

The median income is the better measure of center because it represents where the workers are instead of some distant "midpoint" between the workers and the boss. No person is making $13,646.35 a year. They are either making $3,650 or they are making $10,000,000. There's nothing in between. So it's better go lean toward the larger group when deciding where the center should go. Think of it like a balance beam or a see-saw.

As you can see the median is not affected by outliers. We can change the "ten million" to something like "a hundred million" and the median would still be the same. I recommend you compute the mean if the overseer earns 100 million dollars, and you'll find the mean will increase dramatically. However, the median will stay where it's at. The only time the median will change is if we introduce elements that are somewhere around (either higher or lower) than 3650, and these values are close to 3650. But this won't change the center very much compared to the drastic changes the mean undergoes due to such a large outlier.

The general rule of thumb is: a large outlier to the right pulls the mean to the right. An outlier to the left pulls the mean to the left. In this case, the mean is pulled to the right. The data is skewed to the right (or positively skewed).

So again, the conclusion is that the median is the better measure of center.

Evaluate 5⁶/5²

is it not 5⁴?​

Answers

Your answer is correct because you subtract the exponents!

Need help ASAP!!!!
Which two ratios form a proportion?

Answers

Answer:

C

Step-by-step explanation:

Pls make me brainliest

Answer:

The answer is C 1/2 and 7/14

Two equivalent ratios for a proportion

To determine whether the two ratios form a proportion, you can compare them using a common denominator

1/2 = 7/14

1x7 = 7

2x7 = 14

7/14 = 7/14

Fill in the blank with the correct constant of proportionality. Pounds of Bananas Cost ($) 2, 2.50, 3, 3.75, 5, 6.25, 7, 8.75 The constant of proportionality is​

Answers

Answer:

it will go up 1 dollar now i had to do it in my head

Step-by-step explanation:

mabey if im wrong sorry

True or False:
If you have an odd number of negative factors your answer will be negative. *
<3

Answers

Answer:

It's true,

I'm sure about it

- 4(6 + 5g) equivalent expressions

Answers

Answer:

the awnser is 4g because if you multiply the -4 by 6 and 5 g you get the equation: -24+-20g.. subtract -24 from -20 you will get 4g

John owns a computer repair service. For each computer he charges $50 plus $45 per hour of work. linear equation

Answers

Answer:

y=50+45x.

Step-by-step explanation:

It says  $50 plus $45 So add them and x represents the hour so y=50+45x

Find the domain of the relation.
{(23, 4), (-3, 8), (-25, -21), (20, 13), (21, -14)}
FA

Answers

Answer:

Here is the domain and range

Step-by-step explanation:

(0,0), (-6,6) , (3,1), (3,2), (3,-2), (8,9), (0,1), (1,0)

Domain are the x values
{-25, -3, 20, 21, 23}
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