The first term in a sequence is 84. The pattern follows the rule add 24. What are the next four terms?

Answers

Answer 1

Answer: 108, 132, 156, and 180

Step-by-step explanation:

If you need to add 24 to the first term for the next 4 terms, you would have

84 + 24 = 108

108 + 24 = 132

132 + 24 = 156

156 + 24 = 180

So your sequence would be 108, 132, 156, and 180 for the next 4 terms.


Related Questions

Matt says that 5 - 1 1/4 will be more than 4, since 5 1 is 4. Draw a picture to prove that Matt is wrong.

Answers

Answer:

Step-by-step explanation:

Start by drawing five rectangles. Divide each of the five into four parts. You should have 20 sections.  1 1/4 is equal to 5/4, or five 1/4 pieces. Shade or erase five of the 20 sections. There should be 15 left. 15/4 is 3.75, or 3 3/4, which is less than four.

Hope this helps!

It is 35 Celsius in Miami and 75 Fahrenheit in Chicago. Which town is warmer?

Answers

Chicago is warmer Because farhrenheit is warmer than celsuis

Answer:

Miami

Step-by-step explanation:

First, you can either convert Miami's temperature to farenheit, or convert Chicago's temperature to celcius.

I will convert Miami's temp, to farenheit:

[tex]F=\frac{9}{5}C\°+32 < ==divide\\\\F=1.8C\°+32 < == substitute\ 35\° for\ C\\\\F=1.8(35)+32 < ==multiply\\\\F=63+32 < ==add\\\\F=95\°[/tex]

Miami: 95°F

Chicago: 75°F

Therefore, Miami is the warmer town.

Hope this helps!

Quadrilateral abcd has vertices at a(0, 6), b(4, -1), c(-4, 0) and d(-8, 7). prove that:

(a) abcd is a rhombus using the distance formula
b) the diagonals of abcd are perpendicular

Answers

Answer:

Step-by-step explanation:


Part A: Describe a transformation (or series of transformations) that one could do to get from the
original to image below. Be as specific as possible.

Part B: Are these figures congruent? how do you know?

Answers

Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Quadrilateral ABCD was rotated 180 degrees about the origin to form A'B'C'D. The two figures are congruent to each other.

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Find base of triangle on coodinate plane 8,2 and 6,2

Answers

Answer:

The base of this triangle is 2 units wide

Step-by-step explanation:

Your explanation is in the picture shown below!!!

ANSWER PLS URGENT VERY URGENT TYSM ik its a lot of questions but id really really be grateful for the help

Answers

Step-by-step explanation:

about circle R

arc angle MP = angle MRP = 78°

angle M = angle LMP.

according to the rules of inscribed angles, LMP is half of angle LRP.

LRP + MRP = 180° because together they cover the whole LM segment (half-circle).

LRP = 180 - MRP = 180 - 78 = 102°

so, LMP = angle M = 102/2 = 61°

also circle R (with arc ULNP)

the arc ULNP = arc UL + arc LN + arc NP = 160°

due to the congruent definition of JU and MP we know that arc UL = arc NP.

and we know arc LN = arc JM = 18°.

so,

160 = 2×arc NP + 18

142 = 2×arc NP

arc NP = 71° = arc UL

now, because arc MP + arc LP = 180 (half-circle),

arc MP = 180 - arc LP = 180 - arc LN - arc NP =

= 180 - 18 - 71 = 91°

about the circle R with 2 congruent chords :

the second answer : they are equidistant from R (the center of the circle).

about circle W

arc MK + arc KL = 180° (half-circle).

and we see

arc HL = arc KL = 53°.

so,

arc MK + 53 = 180°

arc MK = 180 - 53 = 127°

about circle M

arc QTS = 204°.

therefore, arc QRS = 360 - arc QTS = 360 - 204 =

= 156° = angle QMS.

according to the rules of inscribed angles

angle QTS = QMS/2 = 156/2 = 78°

If you move from zero to 15 on the number line, you are representing all of the following except
the absolute value of 15
the distance between zero and 15
the opposite of -15
the opposite of 15

Answers

Answer: the opposite of 15

Step-by-step explanation:

100 BRAINLY POINTS!!!

Kayla recorded her baby sister's height, y, in inches, each month, x. The scatterplot shows her results.


Kayla modeled the data approximately with the linear function y = 0.75x + 15. What does the slope of the line represent?

A. Her sister grew about 15 inches each month.

B. Her sister grew about 1 inch every 15 months.

C. Her sister grew about 0.75 inch each month.

D. Her sister grew about 1 inch every 0.75 month.

PLEASE HELP ME CUH

EXPLAIN YOUR ANSWER
SHOW YOUR WORK

Answers

Answer:

C. Her sister grew about 0.75 inch each month.

Step-by-step explanation:

Given function:

y = 0.75x + 15

The function is linear and it represents:

y - current heigt of babyx - number of months passed0.75 - the slope is the monthly growth rate15 - the y-intercept, is the initial height of baby

According the above explanation the correct answer choice is C

Slope intercept form of a line is given by y=mx+b

Compare to our given function

y=0.75x+15

Here

Slope=m=0.75

As it's about height

The rate of change in height is denoted here

Option C is correct

4 1/5 tons = how many ponds

Answers

Answer:

Step-by-step explanation:

21/5*2000=  21*400= 8,400 pounds

Answer:

[tex]\displaystyle 8400\:lbs.[/tex]

Explanation:

On United States Imperial [Customary] System, there is one ton in two thousand pounds. So, because we are going from a bigger unit of measurement to a smaller unit of measurement, we multiply the quantity of tons by two thousand:

[tex]\displaystyle \boxed{8400} = 2000[4\frac{1}{5}][/tex]

I am joyous to assist you at any time.

write an expression that is equivalent to 21h - 10h + 16 - 9 + 14h + 5 .

Answers

21h-10h+16-9+14h+5

Collect the like terms. Like terms are numbers that have the same variable (like x, y, a, n...)

Like terms are:
21h, -10h, +14h

And

16, -9, +5

So add/ subtract the like terms

21h - 10h + 14h= 25 h

16 - 9 + 5 = 12

You can’t add 25h by 12 so your final answer is

25h+12
Answer:
25h+2
Step by step answer
Combining like terms.
start with h
21h-10h+14h=25h
16-9+5=2
so:
25h+2

Scale word problem
Someone please help!!

Answers

Answer:

60.6 cm length

43.2 cm width

Step-by-step explanation:

The scale is 1 m = 6 cm

Take the length in meters, multiply it by 6, and change the unit to cm.

10.1 m becomes 10.1 × 6 cm = 60.6 cm

7.2 m becomes 7.2 × 6 cm = 43.2 cm

Determine the scale factor for each reduction.

a) Quadrilateral B is a reduction of quadrilateral A.

b) Quadrilateral C is a reduction of quadrilateral A.

c) Quadrilateral B is a reduction of quadrilateral C.

Answers

Answer:

c

Step-by-step explanation:

use prime factorisation to find the hcf of 612 and 1314​

Answers

Answer:

Step-by-step explanation:

612: 2*2* 3 * 3 * 17

1314: 2* 3 * 3 * 73

The highest common factor is 2 * 3 * 3 = 18

17 and 73 are both prime, so the factoring stops there.

Need step by step explanation please.

Answers

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

What is the Volume of a Cylinder and Volume of a Sphere?Volume of Cylinder = πr²hVolume of Sphere = 4/3πr³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

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It cost marci 33 cents to mail a postcard and 49 cents to mail a letter. she sent either a postcard or a letter to each of 28 people and spent $13.08. let x represent the number of postcards she wrote and write an algebraic expression for each item in parts a through c.

Answers

Answer:

24 Letters and 4 Postcards

Step-by-step explanation:

We have to set up a system of equations, since we have two unknown variables. Lets say postcards is the variable "x" and letters is the variable "y".

Our first equation will be the money spent: 0.33x + 0.49y = 13.08, this comes from knowing that it costs 0.33 dollars to mail a postcard and 0.49 dollars to send a letter.

The second equation is the total sent: x + y =28.

Now we need to solve for a single variable, let's do y (or letters). If we subtract y from both sides we get: x = 28 - y.

We can plug that into our first equatino to get: 0.33(28 - y) + 0.49y = 13.08.

If we multiply things out we get: 9.24 - 0.33y + 0.49y = 13.08, and now we have like terms. 9.24 + 0.16y = 13.08.

Subtract 9.24 from both sides to get: 0.16y = 3.84

Divide both sides by 0.16 to get: y = 24.

Now we can plug this into x + y = 28 to see that x= 4.

You could make sure this is correct by solving for x instead of y and do the same process.

Hope this helps.

Consider the first 4 transactions in this check register. For what check number did a mistake occur in calculating the balance when the check amount qas debited from the register

Answers

A check register is also known as a cash disbursements journal, is a document that holds the record of all of the check and cash transactions that one's business has for an accounting period.

What kind of transactions are recorded in a Check Register?

The kind of transactions that are recorded in a Check Register or a Cash Disbursement Journal are:

ChecksDebitsCreditsDeposits etc.

Do note that the register referenced in the questions is unavailable hence the general answer.

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Find the total amount
$20,700 at 9% compounded
semiannually for 4 years

Answers

Answer:

41,246.046 which could be rounded to .05 cents at the end.

Step-by-step explanation:

[tex]20700(1.09)^8[/tex]

we use this equation since we are working with interest, and we are compounding interest twice per year, for 4 years or 8 times.

hope this helps, please rate and mark as brainelst.

What is equilibrium, from an economic perspective? a. the theoretical price point at which demand equals supply b. a state of "all other things being equal" c. a condition in which no buying or selling is occurring d. an economy functioning without outside intervention

Answers

Answer:

A theoretical price point at which demand being equal

The theoretical price point at which demand equals supply is the correct answer.

What is equilibrium?

Equilibrium is a state of balance or condition of stableness.

In economics, equilibrium is also the same, it is a condition in which prices become stable by the balance of market supply and demand.

It is a situation in which conditions cannot be changed by any economic agent strategy.

There are some properties of equilibrium

1. Consistency in the behavior of agents.

2. No economic agent has an incentive to change the behavior.

3. Equilibrium is the outcome of a few dynamic processes.

Therefore, the theoretical price point at which demand equals supply is the correct answer.

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What is the solution to the problem expressed to the correct number of significant figures? 15. 11 (142 × 16. 5) = ? A. 2,358 B. 2,358. 1 C. 2,360 D. 2,400.

Answers

The solution to the problem expressed  2358.

What is the meaning of significant figure?

Significant figure It is defined as the minimum number of digit us needed to express a number in scientific notation.

Therefore we get,

[tex]15.11+(142\times16.5)[/tex]

First we have to multiply the given digits as per rule.

[tex]=15.11+2343[/tex]

Now we will add both the digits, we get

[tex]=2358.11[/tex]

As per given expression, we conclude that the number of significant figure is 4.

So, the answer will be, 2358.

Therefore, the correct option is, 2358.

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Determine if the following system of equations has no solutions 4x+3y= -8 -8x-6y= 16

Answers

[tex]\begin{cases} 4x+3y=-8\\\\ -8x-6y=16 \end{cases}~\hspace{10em} \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]4x+3y=-8\implies 3y=-4x-8\implies y=\cfrac{-4x-8}{3}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3} \\\\[-0.35em] ~\dotfill\\\\ -8x-6y=16\implies -6y=8x+16\implies y=\cfrac{8x+16}{-6} \\\\\\ y=\cfrac{8}{-6}x+\cfrac{16}{-6}\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{4}{3}} x-\cfrac{8}{3}[/tex]

one simple way to tell if both equations do ever meet or have a solution is by checking their slope, notice in this case the slopes are the same for both, meaning the lines are parallel lines, however, notice both equations are really the same, namely the 2nd equation is really the 1st one in disguise.

since both equations are equal, their graph will be of one line pancaked on top of the other, and the solutions is where they meet, hell, they meet everywhere since one is on top of the other, so infinitely many solutions.

what is the answer to this problem (8+2)³-6

Answers

Answer:

994

Step-by-step explanation:

(8+2) = 10

10^3 = 1000

1000 - 6 = 994

Answer:

994

Step-by-step explanation:

(8+2)³-6

10³-6

1000-6

994

Hope that helps!

PLEASE HELP I NEED TO TURN THIS IN QUICKK

Answers

Answer:

QUienn quieres ser mi ami

Step-by-step explanation:

xd

Find S.P. in the following cases. a) M.P. = Rs 540, discount = 5 %​

Answers

Step-by-step explanation:

Given:-

MP = Rs 540. Discount = 5 %

To Find:-

Sell price

Solution:-

SP = MP - Discount.

MP = Marked Price ( Also called List Price) SP = Selling Price.

Discount = (Discount %) of MP

Discount = (5/100) 54p

Discount = 27 Rs

Subtract discount from MP to get SP

SP = MP - Discount

SP = 540 - 27 Rs

SP = 513 Rs

Answer;

soln;

MP= Rs 540

discount = 5%

now,

SP = MP - D% of MP

    = 540 - 5/100 * 540

    =Rs 513

   

You pick a card at random, put it back, and then pick another card at random.
What is the probability of picking a number less than 4 and then picking an odd number?

Answers

Answer:

2/9

Step-by-step explanation:

All numbers:

2, 3, 4 → 3

Numbers less than 4:

2 and 3 → 2

Odd number:

3 → 1

The probability of picking a number less than 4:

2/3

The probability of picking an odd number:

1/3

The probability of picking a number less than 4 and then picking an odd number:

2/3 · 1/3 = 2/9

Find the median and mean of the data set below:

Answers

Median = middle number = 30
Mean = sum of all numbers / how many numbers = 135 / 5 = 27

Answer:

27=mean. 30=Median

Step-by-step explanation:

trust me I know what I'm doing

Julia’s gross pay was $4,500 last year. the federal income tax withholding from her pay was 13% of her gross pay. julia determined the federal income tax she owes is $495. how much of a refund can julia expect? $64.35 $90.00 $430.65 $585.00

Answers

The amount of the refund Julia gets as a federal income tax will be $90.

What will be Julia's refund?

It is given in the question:

Julia's gross pay = $500

federal income tax withholding from her pay was 13% of her gross pay

federal income tax she owes is = $495

To find out the refund we will first find the amount of Federal income which is 13% of the gross pay.

[tex]\rm federal \ amount =\dfrac{4500\times 13}{100} =585[/tex]

The refund Julia will get will be

[tex]=585-495=90[/tex]

Hence the amount of the refund Julia gets as a federal income tax will be $90.

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Describe what happens to a figure when the given sequence of transformations is applied

to it: (x, y) → (-x, y); (x, y) → (0.5x, 0.5y); (x, y) → (x - 2, y + 2)

Answers

The transformation rule used are the reflection over the y-axis, dilation and vertical and horizontal shift.

Transformation of coordinates

The translation rule for reflection of the coordinate point (x, y) across the y-axis is (-x, y)

The rule (x, y) → (0.5x, 0.5y) shows a dilation of the coordinate (x, y) by a factor of 0.5. It will reduce the size of the resulting figure since the factor is less than 1.

The rule  (x, y) → (x - 2, y + 2) shows that the figure then shifted horizontally by 2units to the right and up by 2units.

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A bike shop has 35 bicycles and tricycles with a total of 81 wheels. How many bicycles and how many tricycles are in the shop?

Answers

Answer:

There are 24 bicycles and 11 tricycles in the shop

Step-by-step explanation:

We can make a system of equations to find the answer:

x for bicycles and y for tricycles:

x + y = 35

2x + 3y = 81

2x because bicycles have 2 wheels, 3y because tricycles have 3 wheels, and have set the total to 81 because 81 wheels in total.

Solving, we will find that there are 24 bicycles and 11 tricycles in the shop.

6.
Rahman sets off by car to his office at 08 55. He takes 20 minutes to arrive at his office, What time does he
arrive at his office?

huh its was so hardd can someone explain and solve it for me? :(

Answers

Answer:

he will arrive at work by 9:25 to push the time but its rea£y 9:20

Answer: 09:15

Steps:
Time to travel is 00:20
Start time is 08:55
Time of arrival is ?

20 minutes from 8:55.
An hour has 60 minutes.
There is 5 more minutes until 09:00.
20 - 5 = 15
15 minutes from 09:00 is 9:15.

Help on this please.

Answers

Answer: 46 degrees

Step-by-step explanation:

Since all four verties of the quadrilateral lie on the circumference of the circle, this is a cyclic quadrilateral.

Using the fact that this is a cyclic quadrilateral, we know that the opposite angles must be supplementary. Therefore, 134+x=180, meaning x=46.

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