What are the next two terms in the sequence?
5, 16, 27, 38 ...

Answers

Answer 1

Answer:

the next two terms are 49, 60

       

Answer 2

Answer:

49, 60

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence.

16 - 5 = 27 - 16 = 38 - 27 = 11

Thus to obtain the next term, add 11 to the previous term, that is

38 + 11 = 49

49 + 11 = 60


Related Questions

Type the correct answer in each box. Use numerals instead of words.
Kendal is waiting at a crosswalk 540 meters away from the library. She begins riding her bike toward the library and then passes the
library at a constant rate of 6 meters/second.
Kendal will be 60 meters away from the library after
seconds and again after
seconds.

Answers

Answer

Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.

Step-by-step explanation:

Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.

The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:

540 − 6t.

Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:

|540 − 6t| = 60.

Solve an absolute value equation by writing it as two separate linear equations and solving each one:

540 − 6t = -60 540 − 6t = 60

-6t = -600 -6t = -480

t = 100 t = 80

Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.

The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:

540 − 6t.

Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:

|540 − 6t| = 60.

Solve an absolute value equation by writing it as two separate linear equations and solving each one:

540 − 6t = -60 540 − 6t = 60

-6t = -600 -6t = -480

t = 100 t = 80

The answer is 80

What is Algebra?

algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.

Given:

Kendal is riding at a rate of 6 meters/second

The distance to the library is 540 meters.

Let x represent time in seconds

So, kendal travel = 6x

So, distance between Kendal and the library before she passes it:

=540 − 6x.

Now, Kendal will be 60 meters away from the library.

Kendal will be 60 meters away from the library

540 − 6x= 60

-6x= 60-540

-6x= -480

x= -480/-6

x= 80

Hence, the answer is 80

Learn more about algebra here:

https://brainly.com/question/24875240

#SPJ2

You sold 60 units of candy. The amount
you got from seling candy is $210. How
much are you selling candy for?

Answers

Answer:

$3.50

Step-by-step explanation:

Simplify the expression using the distributive property 2x (x- 9)​

Answers

Answer:

2x^2-18x

Step-by-step explanation:

Answer:

4x^2 - 18x

Explanation:

Multiply 2x by 1x which should give you 2x^2 (squared because the x’s together would be squared), then multiply the 2x by 9 and you should be left with 18x which results in 4x^2 - 18x

The cost of a water heater is $550. Tax is 8%. How much tax will they pay for the water heater?

Answers

The amount of tax would be $44 .
Hope that helps

What is the value of a in the equation a = 2 + 3a + 8?

10
5
−5
−10

Answers

Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

hope it helped!! Brainliest? I need em

48 = 4t + 12
How would I solve this someone please respond fast.

Answers

Answer:

t=9

Step-by-step explanation:

Move all terms that don't contain

t to the right side and solve.t=9

Answer:

t=9

Step-by-step explanation:

48=4t+12

Subtract 12 in both sides

36=4t

Divide 4 both sides

9=t

t=9

plz help me do this qutsion its so hard

Answers

if i’m correct i believe it’s b
i think the answer is b

If 3^1-x +3^1+x = 90, Find the value of x

Answers

Answer:

[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]

Step-by-step explanation:

So we have the equation:

[tex]3^{1-x}+3^{1+x}=90[/tex]

First, note that this is the same as:

[tex]3\cdot 3^{-x}+3\cdot 3^x=90[/tex]

Factor out a 3:

[tex]3(3^{-x}+3^{x})=90[/tex]

Divide both sides by 3:

[tex]3^{-x}+3^x=30[/tex]

Change the negative exponent into a fraction:

[tex]\frac{1}{3^x}+3^x=30[/tex]

Multiply both sides by 3^x:

[tex]3^x(\frac{1}{3^x}+3^x)=(30)(3^x)[/tex]

Distribute:

[tex](1)+(3^x)^2=30(3^x)[/tex]

Let u equal 3^x. So:

[tex]1+u^2=30u[/tex]

Subtract 30u from both sides:

[tex]u^2-30u+1=0[/tex]

This is a quadratic. Solve using the quadratic formula. A is 1, b is -30, and c is 1. So:

[tex]u=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

Substitute:

[tex]u=\frac{-(-30)\pm \sqrt{(-30)^2-4(1)(1)}}{2(1)}[/tex]

Simplify:

[tex]u=\frac{30\pm \sqrt{900-4}}{2}[/tex]

Subtract:

[tex]u=\frac{30\pm \sqrt{896}}{2}[/tex]

Simplify:

[tex]u=\frac{30\pm 8\sqrt{14}}{2}[/tex]

Simplify:

[tex]u=15\pm 4\sqrt{14}[/tex]

Substitute back u:

[tex]3^x=15\pm 4\sqrt{14}[/tex]

Take the log to base 3 of both sides:

[tex]\log_3{3^x}=\log_3{15\pm 4\sqrt{14}}[/tex]

The left side cancels:

[tex]x=\log_3{15\pm 4\sqrt{14}}[/tex]

So, our solutions are:

[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]

And we're done!

Which is correct from greatest to least

Answers

What’s the ?hfjejehhehehsjsjajs
what’s the question

15 points and brainlist! Math

Answers

Answer:

distribute the 3

Step-by-step explanation:

follow pemdas ill put a brainpop link below

its the answer highlighted in yellow

Answer:

the 4th option is the right answer

subtract the constants

hope this helped you

please mark as the brainliest (ㆁωㆁ)

3(x + 1) = -2(x - 1) - 4.

Answers

Answer:

this is the answer x=-1

to classify numbers first do have to simplify fractions or roots ​

Answers

Fractions not roots
Explanation
Just cuhz

Answer:

simplify

Step-by-step explanation:

just simpify then theres an answer waiting for you to jearney on

-9x+1=80

please someone answer, please

Answers

x=-79/9 after you take away the one and divide

Answer:

-8  7/9

Step-by-step explanation:

-9x+1=80

-9x+1-1=80-1

-9x=79

-9x=79

-9   -9

x= -8  7/9

2
(2+1) - 4 x 5 + 31

Answers

Answer:

14

Step-by-step explanation:

Here's where you'll use the infamous PEMDAS, which just means how to solve the equation in order.

P means parentheses

E means exponents

M means multiplication

D means division

A means addition

S means subtraction

So start with P. Here we have (2+1) so that becomes 3. Which then turns the equation into: 3 - 4 × 5 + 31. Next Is E but since there are no exponents here you skip that step. Next is M. You have 4 × 5 which is 20 so the equation then becomes: 3 - 20 + 31. Next is D but since there's nothing to divide you can skip that too. You can actually go right ahead and solve it here because in PEMDAS you can actually just do all MD problems together from left to right, same as and AS problems in order from left to right, instead of doing M and then D or A and then S.

(I made a careless mistake in the original post, this should be the correct answer)

The answer should be 14 unless the 2 is an exponent

Mandie is making 15 cups of fruit salad. What ratio of grapes to blueberries should she use?

Answers

Answer: She should us a ratio of 1:5 for grapes to blueberries

Step-by-step explanation:

Blueberries are a lot smaller than a typical grape, hence you should have 5 blueberries for every grape. Hence, the 1:5 ratio.

Answer:

(C)

Step-by-step explanation:

12:3  

-2+n=-8(1-8n)+6 solve for n.

Answers

-2 + n = -8(1 - 8n) + 6

Distribute the -8

-2 + n = -8 + 64n + 6

Combine like terms.

-2 + n = 64n - 2

Add 2 to both sides and subtract n from both sides.

0 = 63n

Divide both sides by 63

0 = n

- 60= - 24 + 12r
How do I solve this problem and what are the steps to solve the problem

Answers

Answer:

r = -3

Step-by-step explanation:

- 60= - 24 + 12r

Add 24 to each side

- 60+24= - 24+24 + 12r

-36 = 12r

Divide each side by 12

-36/12 = 12r/12

-3 =r

1. 4 more than the difference of 8 and a number

Answers

Answer:

(8-n) + 4

4+ (8-n)

Step-by-step explanation:

I added 4 because it says "4 more" and I subtracted 8 and a variable because it says the "difference". I used a variable because the number is not specifically defined. I hope this helps!

A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of days. Find the total earning the cupcake shop earns in 5 days.

Answers

Answer:

4750

Step-by-step explanation:

950x

950× 5

4750

varying directly with number of days

I need help asap please ​

Answers

Answer:

y=3x+6, y=5x,

Step-by-step explanation:

Ms. Lady works-out with Ms. Beetle; her average crawling time has increased to 4 feet per minute, while Ms. Beetle, who is used to eating Hot Cheetos and watching TV, averages 2.5 feet per minute. While at Senn's Elm Tree-house, the three decide to experiment with linear equations. The objective is to end up at the Rose Bush at the same time. Senn still averages 5 feet per minute. How much of a head start does he need to give each of his friends in order for their function rules to intersect at 92 feet (the rose bush). What is the equation for each bug which makes their experiment successful? Create a table and graph representing the situation.

Answers

Answer:

Senn needs to give Ms. Lady 4.6 minutes  head start

Senn needs to give Ms. Beetle 18.4 minutes  head start

The equation for each bug are;

For Senn, the equation for the experiment is 5 × t₁ = 92 feet

For Ms. Lady, the equation for the experiment is 4 × (t₁ + 4.6) = 92 feet

For Ms. Beetle , the equation for the experiment is 4 × (t₁ + 18.4) = 92 feet

Please find attached the required graph and table of values

Step-by-step explanation:

The given parameters are;

The average crawling time of Ms. Lady = 4 feet per minute

The average crawling time of Ms. Beetle = 2.5 feet per minute

The average crawling time of Senn = 5 feet per minute

The distance to the rose bush = 92 feet

Therefore, we have;

The time, t, duration for Senn to arrive at the Rose bush is given by the following relation,

Time, t = Distance, d/(Speed, s)

Given that the speed of the bugs is equal to their average crawling time, we have

For Senn

Time, t = 92/(5 ft/Min) = 18.4 minutes

For, Ms. Lady

Time, t = 92/(4 ft/Min) = 23 minutes

For, Ms. Beetle

t = 92/(2.5 ft/Min) = 36.8 minutes

Therefore;

Senn needs to give Ms. Lady 23 - 18.4 = 4.6 minutes head start

Similarly, Senn needs to give Ms. Beetle 36.8 - 18.4 = 18.4 minutes  head start

The equation for each bug are therefore;

For Senn, the equation for the experiment is given as follows ;

5 × t₁ = 92 feet

For Ms. Lady, the equation for the experiment is given as follows;

4 × (t₁ + 4.6) = 92 feet

For Ms. Beetle , the equation for the experiment is given as follows;

4 × (t₁ + 18.4) = 92 feet.

What is the value of a?
a-2 = 3462

Answers

Step-by-step explanation:

a-2=3+6a/3

By cross multiply

3(a-2)=3+6a

3a-6=3+6a

-6-3=6a-3a

-9=3a

a=-3

Evaluate (2 - 5 i) (p + q) (i) when p = 2 and q = 5 i

Answers

Answer:

29i

Step-by-step explanation:

https://socratic                 .org/questions/how-do-you-evaluate-2-5i-p-q-i-when-p-2-and-q-5i#304498

If you want a description, copy that into your browser and take out the spaces between "socratic" and ".org".

Answer:

A

Step-by-step explanation:

a bin contains 26 markers four students each choose the same number of markers if they choose as many markers as possible how many markers are left in the bin

Answers

26 divided by 4 is 6 with a remainder of two

plz help will give brainliest

Answers

Step-by-step explanation:

Hey there!!!!

Your required answer is option A.

The reason is.

When we solve it through elimination method we need to multiply second equation by "2" and then subtract to get "-4y" in 1st equation and "+4y" in 2nd equation cancelled.(As when we multiply equation 2 by 2 and subtract we get "-2y" as "+4y".)

So, it the equation seems like,

[tex]12 {x}^{2} + 4 {y}^{2} = 22[/tex]

Now, this equation is made after multiplying it by 2 and subtracting the 1st and 2nd equation to solve the equation s.

So, the answer is option A.

Hope it helps...

The answer for this question is A

If g(x) =4x+2 and f(x) =3x-10

find g(f(3))

Answers

Answer:

[tex]g(f(3))=-2[/tex]

Step-by-step explanation:

So we have the two functions:

[tex]g(x)=4x+2\text{ and } f(x)=3x-10[/tex]

And we want to find g(f(3)).

So, let's find f(3) first:

[tex]f(3)=3(3)-10[/tex]

Multiply:

[tex]f(3)=9-10[/tex]

Subtract:

[tex]f(3)=-1[/tex]

Therefore, we can substitute -1 for f(3):

[tex]g(f(3))=g(-1)[/tex]

Now, find g(-1):

[tex]g(-1)=4(-1)+2[/tex]

Multiply:

[tex]g(-1)=-4+2[/tex]

Add:

[tex]g(-1)=-2[/tex]

And we're done!

So:

[tex]g(f(3))=-2[/tex]

if bill payed 73.80 for 32 4/5 gallons of gas, how much did he pay per gallon​

Answers

Answer:

$2.25

Step-by-step explanation:

73.80/32.8

[tex]1.005 = 0.005x + 0.95[/tex]

Answers

X=(1.005-0.95)/0.005
x=0.055/0.005
X=11
1.005=0.005x+0.95

1.005-0.95=0.005x

0.055=0.005x

0.055:0.005=11

11=x

Which two consecutive integers does −v30
lie between?
A) 5 and 6
B) 6 and 7
C) −5 and −6
D) −6 and −7

Answers

Answer:

36

=

6

lies between consecutive odd integers  

5

and  

7

.

Step-by-step explanation:

"The" square root of  

36

is itself an integer, namely  

6

, since  

6

2

=

36

. So it does not lie between consecutive integers.

It does lie between consecutive odd integers  

5

and  

7

.

Note that  

36

has another square root, namely  

6

, since  

6

satisfies:

(

6

)

2

=

36

HELP ME PLS THANK YOU<<<3333

Answers

Answer:

≈ 63.30 ft²

Step-by-step explanation:

Heron formula

A = √p(p - a)(p - b)(p - c)

a = 9 ; b = 15 ; c = 20

p = (a + b + c)/2 = (9 + 15 + 20)/2 = 44/2 = 22

A = √22(22-9)(22-15)(22-20)

= √22×13×7×2

= √4004

≈ 63,27

≈ 63.30 ft²

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