Find the 60th term of the arithmetic sequence 4, -1, -6, ...

Answers

Answer 1

Answer:

[tex]-291[/tex]

Step-by-step explanation:

From the three terms, we can conclude that the arithmetic sequence for this sequence is [tex]a_{n}=4+(n-1)(-5)[/tex].

[tex]a_{60}=4+(60-1)(-5)[/tex]

[tex]=-291[/tex]

∴ The 60th term of the arithmetic sequence is [tex]-291[/tex].

Hope this helps :)


Related Questions

Sara borrows
$
81
$81 from her mother to buy tickets to a concert. If Sara decreases her debt by
$
4.50
$4.50 each week, how many weeks will it take her to pay off the whole amount she owes her mother?

Answers

Answer:

It will take 18 weeks

Step-by-step explanation:

Here, we are told that she owes a total of $81 which decreases at a rate of $4.50 per week

The number of weeks it will take to finish paying the debt will be the amount owed divided by the payment per week

Mathematically that is 81/4.5 = 18

What is the image of ( -7,5) after a reflection over the line y = -x?

Answers

Answer:

(-5, 7)

Step-by-step explanation:

(x,y) over y= -x = (-y, -x)

(-7, 5) is turned to (-5, 7)

Alex bought a game $15.00. Because he works at GameStop he gets an employee discount of 10%. What was the cost of his game after the discount?

Answers

Answer:

$13.50

Step-by-step explanation:

Multiply the price by the discount, then subtract that number from the original price.

15.00 x 10% = $1.50

$15.00-$1.50 = $13.50

Answer:

$13.5

Step-by-step explanation:

Discount is 10%

So 15*10/100=$1.5

$15-$1.5=$13.5

Weight of 8 bags of sugar is 400 kg. The weight of 30 such bags will be ------------------------------------

Answers

Answer:

1500 kg

Step-by-step explanation:

8 bags = 400 kg

1 bag = 400/8

= 50 kg

30 bags = 30×50

= 1500 kg

Answer:

Step-by-step explanation:

First of all, calculate the weight of 1 bag of sugar first.

400/8=50

So 1 bag of sugar is 50 Kg.

There are 30 bags of sugar so multiply 50 by 30

You will get 1,500Kg for 30 bags of sugar.

10. Use the following information to answer the questions: Today, everything at the mall is on sale. The store offers a 10% discount.
a. The regular price of a T-shirt is $27. What is the discount price?

b. If the regular price of an item is x dollars, what is the discount price in dollars? Write an equation

c. The discount price of a socks is $13.50. What is the regular price?

Answers

Answer:

a. The T-shirt on discount is $24.30

b. x = 0.9r

c. The regular price of the socks is $15

Step-by-step explanation:

If everything in the mall is at a 10% discount then you must multiply every regular sale by 0.9(90%). To get the regular price of the socks, you must divide by 0.9(10%).

WILL MARK BRAINLIEST IF YOU GET IT RIGHT.

Answers

Answer:abd

Step-by-step explanation:

Answer:

A B and D

Step-by-step explanation:

these numbers could represent percents like 95% off 85% off or 55% off

so if n represents 1 item you would do 0.95(1) which equals 0.95 off of the original price which would make it 0.05

hope this makes sense

Change the vertex form to standard quadratic form

Answers

Answer:

3x square-30x +29=0. i think thats the equatiom

Which number line plots the integers -12, -3, and 7?
-15
-10
-5
0
5
10
A
-15
-10
-S
0
S
10
.
-15
-10
-5
0
S
10
-15
-10
-5
0
5
10

Answers

Answer:

A

Step-by-step explanation:

I took the test

on a math test the students are given a triangle

Answers

Step-by-step explanation:

so, what should we do of that triangle. sorry, i think ur question is incomplete.

Your question is incomplete

-4.75 = z/2
It's not that urgent, but I would appreciate it if you helped me!

Answers

z = -9.5. you would have to multiply -4.75 by 2 then put it back in your calculator to make sure it’s correct

The cost y (in dollars) to rent a kayak is proportional to the number x of hours that you rent the kayak. It costs $27 to rent the kayak for 3 hours.

a. Write an equation that represents the situation.

Answers

Answer:

If the cost y is proportional to the number of hours x:

y = kx   where k is the constant of proportion.

Given $27 for 3 hours, find k

27 = 3k

k = 9

Your equation is:  y = 9x

From this, given a value for y or x you can plug it in to find the other.

Step-by-step explanation:

Answer: [tex]\frac{27}{3}[/tex]

Step-by-step explanation:

PLEASE look at the picture of my computer for the question

Answers

Put each equation in Desmos and compare the graphs

Shawn drinks ½ of a 6 ounce glass of water in 2/3 hour. How much water does she drink in an hour?

Answers

Answer:

if she drinks half in 2/3 of an hour that's 3 ounces and about 1.5 ounces every 1/3 of an hour so she would drink 4.5 ounces in an hour

When solving the following system of
equations, which variable would be the easiest
to solve for?
5.2 + 3y = 22
4x – 2y = 16
O the y in the first equation
the x in the second equation
the x in the first equation
the y in the second equation

Answers

Answer:

The y in the second equation

Step-by-step explanation:

The y in the second equation is preceded by a negative coefficient, therefore it will be positive when added to the other side. All the numbers in the equation are even and easily divided by 2 as well. 2 is also the smallest number in the equation, so the remaining numbers will remain whole.  

It’s the second one

Will give brainliest!!
please help!!

In emails to subscribers of a weekly newsletter, Mikayla found that approximately 72% of the emails are left unopened. If she sends out 5,896 emails each week, approximately how many emails are unopened?​

Answers

Answer:

4245.12 emails are unopened

Step-by-step explanation:

A scooter travels 30 feet in 2 seconds at a constant speed. b. Complete the double number line to show the distance the scooter travels after 1, 3, 4, and 5 seconds.

Answers

Answer:

15 feets ; 45 feets ; 60 feets ; 75 feets

Step-by-step explanation:

Given that:

Moving at a constant speed ; Distance traveled in 2 seconds = 30 feets

The traveling speed = distance / time

Traveling speed = 30 feets / 2 seconds

Traveling speed = 15 ft/s

Distance traveled = traveling speed * time

Distance traveled after 1 second :

Time = 1 second

15ft/s * 1s = 15 ft

Distance traveled after 3 second :

Time = 3 second

15ft/s * 3s = 45 ft

Distance traveled after 4 second :

Time = 4 second

15ft/s * 4s = 60 ft

Distance traveled after 5 second :

Time = 5 second

15ft/s * 5s = 75 ft

e Explore It!

A group of college students developed a

solar-powered car and entered it in a

race. The car travels at a constant speed

of 100 meters per 4 seconds.

Answers

Answer:

50m/s

Step-by-step explanation:

Since we are not told what to find, we can as well look for two speed of the car in meter per seconds

If the car travels at a constant speed of 100 meters per 4 seconds, the we can say;

100 meters = 4seconds

Since we want to know the speed in metres per second, we will say;

X meters = 1second

Equating both

100 meters = 4seconds

X meters = 1seconds

Cross multiply

4×X = 200×1

4X = 200

Divide both sides by 4

4X/4 = 200/4

X= 50

Hence the of the car in meter per seconds is 50meters per second

The distance from Annandale, Virginia to New York City, NY is approximately 410 kilometers (km). Find the distance in miles. SHOW WORK!

I NEED HELP PLEASE ANYONEEEEEE

Answers

First, find the converting ratio for kilometers to miles, which is

1km = 1.61 miles.

Then, divide 410 on the side for miles on the ratio.

410km=254.67miles

Therefore, 410 km is equal to 254.67 miles.

An amusement park has 32000 visitors per day when it charges $70 per person. For each $2 increase in price, the park loses about 800 visitors answer. How much should the park charge to maximize the daily revenue? What is the maximum daily revenue?

Answers

Answer:

Maximum daily revenue = $2,249,600

Step-by-step explanation:

If you approach this problem with a trail and error mindset you can quickly calculate that if you take an increase of $6  per ticket or $76 per ticket, then subtract the equivalent loss of visitors which would be 800 * 3 or 2,400 then you get 29,600 visitors. By simply multiplying this number by the cost of the tickets you achive  2,249,600 daily. This could be wrong as I did not use a formula.    

Please help!!! I need to hurry and turn this in !!

Answers

Answer:

2 is true

Step-by-step explanation:

The second one is true

The answer is B) y=1.93x+2.97

Can somebody help me??

Answers

Answer:

65 miles

Step-by-step explanation:

Answer:

65MPH (or 65 miles)

Step-by-step explanation:

I used a proportion:

487.5MI/7.5HR = ?MI/1HR

(mi/hr = mi/hr)

cross multiply:

487.5 x 1 = 487.5

then divide:

487.5 divided by 7.5 =

65 miles

Hope this helps!

Bri <3

Hcf of two numbers is 2 and lcm is 54 if one of the number is 27 find the other number

Answers

Answer:

4

Step-by-step explanation:

Given that:

Let the two numbers = a and b

H. C. F of the two numbers = 2

L.C.M of the two numbers = 54

If a = 27 ; b =?

The product of a and b = product of their L. C. M and H. C. F ;

HENCE ;

27 * b = 2 * 54

27b = 108

b = 108/27

b = 4

Hence, second number is 4

In the first event, the eighth graders are running a baton relay race with three other classmates. The teams top speed for each leg is 56.8 one seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to protect his teams best time for the race. Each leg of the race from part a is the same distance. Calculate the teams average time for each leg of the race. Show your work

Answers

Answer:

The best time is 56.81 seconds

Average leg time is 58.3825 seconds

Step-by-step explanation:

Here, we want to start by stating the team’s best time for the race

The team’s best time for the race is the smallest time spent on a lap

From the times given, the best time is 56.81 seconds

Now, we want to calculate the average time

We simply add up all these and divide by count

Mathematically, that will be;

(56.81 + 59.22 + 57.39 + 60.11)/4 = 58.3825 seconds

Two similar triangles are shown on the coordinate grid:



Which set of transformations has been performed on triangle XYZ to form triangle X”Y’’Z’’?

Dilation by a scale factor of 4 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis
Dilation by a scale factor of 4 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the x-axi

Answers

Answer:

2nd one I think

Step-by-step explanation:

First shape yz is 3 squares and second shape is 6 squares which is times by two and it is reflected on the y axis I think

NEED HELP ON THIS ANSWER BE SEROUIS PLEASE!

Answers

Answer: C, a = 250t + 500

Step-by-step explanation: First, we can simply take out 500 out of 1500 to show the first deposit. Now we can do 1000 / 4 to get 250 a month.

This gives us a = 250t + 500

Hope this helps :)

At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Do not include units (students) in your answer.

Answers

Answer:

We have 250 sixth-grade students are at the school

Step-by-step explanation:

Let the total number of sixth graders be represented as x

Therefore we solve the question nas shown below:

40% of x = 100 sixth grade students that prefer Hip -pop

= 40/100 × x = 100

= 40x /100 = 1000

Cross y

40x = 100 × 100

40x = 10000

x = 10000/40

x = 250 students

Hence, we have 250 sixth-grade students are at the school

Matilda needs at least $100 to in her savings account to keep it open. She already has $330 but withdraws $11 a month for fun. Write and solve an inequality to find how many months she will be able to keep her account open. Interpret the solution.

Answers

Step-by-step explanation:

Step one:

given data

we are told that she wants her balance to be at least $100

y=100-------1

the expression relating her current balance and spending rate is

let y be the total and m be the number of months

y=330-11m----------2

Required

the number of months m

equating 1 and 2 we have

100=330-11m

11m=330-100

11m=230

m=230/11

m=20.9

m=21 approx

This means that she will keep her account open for 1 year 9 months

A table is made using the following two patterns.
Pattern 2: Starting number: 12, Rule: Add by 8
Pattern y: Starting number: 60, Rule: Divide by 2
Complete the table for the given patterns.
2
Y
12
60

Answers

Step-by-step explanation:

add 8 to each x coordinate and divide 60 by 2 and then divide that by 2

The complete table for the given pattern is,

x: 12, 20, 28.

y: 60, 30, 15.

To complete the table for the given patterns, we can follow the specified rules for each pattern:

Pattern x: Starting number: 12, Rule: Add by 8

To generate the numbers in this pattern, we start with the given starting number, which is 12. Then, we apply the rule of adding 8 to each successive number.

12 + 8 = 20

20 + 8 = 28

So, the completed table for Pattern x would be:

x

12

20

28

Pattern Y: Starting number: 60, Rule: Divide by 2

For this pattern, we start with the given starting number, which is 60. Then, we apply the rule of dividing each successive number by 2.

60 ÷ 2 = 30

30 ÷ 2 = 15

So, the completed table for Pattern Y would be:

Y

60

30

15

By following the respective rules for each pattern, we have filled in the missing values in the table.

To learn more about the division;

https://brainly.com/question/13263114

#SPJ2

Connor wants to save up money to buy his math teacher a PS5 for the holidays. After 4 weeks, he has $178 saved up. After 9 weeks, he has $338.

1) Write a sentence describing what changed between these two moments in time.

2) How much is Connor having each week?

3) How much did Connor already have when he decided to start saving?

Answers

Answer:

1.) Over these two moments he has saved up more money to buy a PS5 for his teacher

2.) $32 dollars per week

3.) $178

Step-by-step explanation:

2.) 338-178= 160/5= $32

3.)$178

Answer:

338 and 172

Step-by-step explanation:

2−x+10−4x=5
what is X?

Answers

Answer:

7/5

Step-by-step explanation:

2−x+10−4x=5

2−x+10−4x=5

2+−x+10+−4x=5

(−x+−4x)+(2+10)=5(Combine Like Terms)

−5x+12=5

−5x+12=5

−5x+12−12=5−12

−5x=−7

−5x /−5 = −7 /−5

x= 7 /5

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