The sum of the first and second terms of an AP is 4 the tenth term is 19 find the sum of the fifth and sixth terms

Answers

Answer 1

Answer:

20

Step-by-step explanation:

first term + second term = 4

tenth term = 19

fifth term + sixth term = ?

Since this is an arithmetic sequence:

first term = a

second term = a+d

tenth term = a+9d

Then we have

[tex]2a+d=4 \\ a+9d=19[/tex]

Upon solving the system of equation we have:

[tex]a=1 \\ d=2[/tex]

Since:

fifth term = a+4d

sixth term = a+5d

The final answer is:

fifth term + sixth term = [tex]2a+9d=2+18=20[/tex]


Related Questions

Please help guys this is just domain and range

Answers

Answer:

Domain: (0,3)

Range: (0,1)

Step-by-step explanation:

Domain is the interval of the x-axis of the graphed function

Range is the interval of the y-axis of the graphed function

A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $225 each, and the desktop computers cost $250 each. How many total computers would someone buy if they get 19 notebooks and 12 desktop computers? How many total computers would someone buy if they get
n notebooks and
d desktop computers? (n+d)

Answers

Answer:

n=19

d=12

$225n+$250d=

$225(19)+$250(12)=

4275+3000

=7275

Step-by-step explanation:

A laser printer prints 9 pages per minute. Martha refilled the paper tray after it had printed 92 pages. In how many more minutes will there be a total of 245 pages printed?​

Answers

17 minutes

hope this helps!

Which of the following lines are perpendicular to the line y= -1/2x +4 ? (you may choose more than one answer)

A. 2x - y = 1
B. y = 2x
C. 2x + y = 1
D. 1/2x - y =2
E. 2x - y = 3​

Answers

Answer:

ABE

Step-by-step explanation:

Perpendicular means the slope of the line and the answer are reciprocal to each other.

The slope of the line is -1/2, which means the slope of the answer should be 2.

From A we got: y=2x-1

B:y=2x

C:y=-2x+1

D:y=-1/2x-2

E:y=2x-3

So the answer is ABE

Find x. Round your answer to the nearest tenth of a degree.

Answers

Answer:

42°

Step-by-step explanation:

8 is the opposite

12 is the hypotenuse

We know from SOHCAHTOA to use sine

Since we are looking for the angle, we use sin^-1

sin^-1(opposite/hypotenuse)=x

sin^-1(8/12)=x

Input into calculator

x=42°

Step-by-step explanation:

we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

where the the side and related angle are always opposite to each other.

so,

12/sin(90) = 8/sin(x)

12/1 = 8/sin(x)

12 = 8/sin(x)

3 = 2/sin(x)

sin(x) = 2/3

x = 41.8103149...° ≈ 41.8°

Sarah work as a receptionist in a busy dental office she made $350.15 after 23.5 hours of work how much was Sarah paid per hour

Answers

350.15 divided by 23.5 hours equals 14.90

Answer: $14.9/hr

Step-by-step explanation: you divide $350.15 by 23.5hr to get how much she makes an hour

#1: Find the value of X. (GEOMETRY)

I will give brainliest to BEST answer! fake answers will be reported.
refer to attachment!

Answers

Answer:

x = 14

Step-by-step explanation:

1. We know that all angle measures in a triangle sum to 180 degrees.

This means that 7x - 11 + 5x - 2 + 2x - 3 = 180.

2. (Solving)

Step 1: Combine like terms.

[tex](7x+5x+2x)+(-11-2-3)=180[/tex] [tex]14x -16 = 180[/tex]

Step 2: Add 16 to both sides.

[tex]14x - 16 + 16 = 180 + 16[/tex] [tex]14x = 196[/tex]

Step 3: Divide both sides by 14.

[tex]\frac{14x}{14}=\frac{196}{14}[/tex] [tex]x = 14[/tex]

Step 2: Check if solution is correct.

[tex]7(14)-11+5(14)-2+2(14)-3=180[/tex] [tex]98-11+70-2+28-3=180[/tex] [tex]180=180[/tex]

Therefore, the answer is x = 14.

[1(23x5)]/2
Solve this questionssss
sdfghfght

Answers

First 23*5 = 115 then 1*115=115. 115/2 = 57.5

If f(x)=-4x+1, what is f(-x/2)?

Answers

Answer:

[tex]f(-\frac{x}{2})=-2x+1[/tex]

Step-by-step explanation:

[tex]f(x)=-4x+1[/tex]

[tex]f(-\frac{x}{2})=-4(\frac{x}{2})+1[/tex]

[tex]f(-\frac{x}{2})=-2x+1[/tex]

Anna saved $20 in a jar each month for 2 1/2
years. She spent 75% of her savings on a computer. How much money did Anna have left in the jar?

Answers

Answer:

20*2.5=50

50*0.75=37.5

Hope This Helps!!!

Answer:270

Step-by-step explanation:

i need to find the zeros by factoring but im stuck plss help me i think the zeros may be 0, 1, -4, and 4 but i dont know how to get them??

Answers

this should help you on how to get the zeros and the answer for the bottom question is A
In other terms, once factored, you can set each parenthesis equal to zero. So like for (x-1), you set to zero, and solve. This gives factors. If the x is outside of parenthesis, like the -4x, then there is a root of zero.

In this case. Factor by grouping, then you will have several parenthesis multiplied by each other. Set each to zero

Hazel bought 3/5 of a kilogram of clay for the students in her pottery class. She then divided the clay evenly into pieces that were 1/5 of a kilogram. Into how many pieces did Hazel divide the clay? Write your answer as a fraction or as a whole or mixed number.​

Answers

Answer:

3

Step-by-step explanation:

3/5 kg of clay are divided into 1/5 a kilogram, so how many times is 1/5 in 3/5?

equation is

[tex]=\frac{3}{5} /\frac{1}{5}\\\\=\frac{3}{5}*\frac{5}{1} \\\\=\frac{15}{5} \\=3[/tex]

which equation generates the value in the table

Answers

Answer:

A

Step-by-step explanation:

please help me, i dont really understand this

Answers

Answer:To convert a mixed fraction to an improper fraction, follow these steps:

Multiply the whole number part by the fraction's denominator.

Add that to the numerator. or this might also help,

Then write the result on top of the denominator. To convert a mixed number to an improper fraction, follow these steps: Multiply the denominator of the fractional part by the whole number, and add the result to the numerator. Use this result as your numerator, and place it over the denominator you already have.

Step-by-step explanation:

Hope this help

noah does half as many push-ups as joseph. joshua does 3 times as many push-ups as joseph. they complete 324 altogether. How many push-ups does joshua complete?

Answers

Answer:

112

Step-by-step explanation:

I'll mark you brainlest if you answer this correctly please help

Answers

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

What is the sum of 7/13 and 11/26? Please help!!

Answers

Answer:

The sum of 7/13 and 11/26 is 25/26.

Step-by-step explanation:

7/13 + 11/26

The common denominator is 26

7/13 *2/2 +11/26

14/26 + 11/26

25/26

What is the value of cos (150°)?
PLEASE NO WEBSITES!
Thank you

Answers

Answer:

Cos (150) = -√3/2

Step-by-step explanation:

You can find this using a calculator. You will get −0.866025403 which is equal to -√3/2

i need points so sorry

Determine which number is greater and tell how many times as great. 7×1012 and 3.5×109

Answers

7x1012 is greater by 18.56880733944954 times as much, or 18.56 if shortened

What is -2×-4 in mathematics

Answers

Answer:

8

Step-by-step explanation:

negative times a negative equals a positive

If y varies inversely with x and y = 5 when x = 4, which equation that relates x and y?
Select one:

Answers

x+4x-y5 is the wrong answer

Last year, a website had 40,000 visitors and this year there is 37,000 visitors what is the percent change of the visitors

Answers

Answer:

-7.5 %

Step-by-step explanation:

Percent change can be calculated as

(change)/(original number) * 100, with the * 100 representing a change from decimal (which is what we get from dividing) to percent.

Here, change is (final - original) = 37000-40000 = -3000. Divide this by the original number, 40000, to get -3000/40000 = -0.075. Multiply this by 100 to get -7.5 % as our answer

Q). The sum of four consecutive natural numbers is 166. What are the numbers? ​

Answers

Answer:

see that attachment

I hope it's help you

Let the four consecutive natural numbers are X,X+1,X+2,X+3

Their sum = X+X+1+X+2+X+3 = 4X+6

According to the given problem

Their sum = 166

⇛ 4X+6 = 166

⇛4X = 166-6

⇛4X = 160

⇛X = 160/4

∴ X = 40

X+1 = 40+1 = 41

X+2 = 40+2 = 42

X+3 = 40+3 = 43

The four consecutive natural numbers are 40,41,42,43

also read similar questions: The sum of two prime numbers is 85, what is the product of these two prime numbers? A. 85 B. 91 C. 115 D. 166

https://brainly.com/question/779569?referrer

The two-way table shows the estimated number of students who will enroll in three area high schools next year. A 5-column table has 4 rows. The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total. The second column is labeled Tenth grade with entries 110, 180, 160, 450. The third column is labeled Eleventh grade with entries 120, 150, 140, 410. The fourth column is labeled Twelfth grade with entries 80, 120, 200, 400. The fifth column is labeled Total with entries 310, 450, 500, 1,260. In decimal form, to the nearest tenth, what is the probability that a randomly selected Riverside High School student is in twelfth grade? 0. 2 0. 3 0. 4 0. 5.

Answers

The probability that a randomly selected Riverside High School student is in twelfth grade is 0.4 and it can be determined by using probability.

Given that,

The two-way table shows the estimated number of students who will enroll in three area high schools next year.

A 5-column table has 4 rows.

The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total number of students.

The second column is labeled Tenth grade with entries 110, 180, 160, 450.

The third column is labeled Eleventh grade with entries 120, 150, 140, 410.

The fourth column is labeled Twelfth grade with entries 80, 120, 200, 400.

The fifth column is labeled Total with entries 310, 450, 500, 1,260.

We have to determine,

What is the probability that a randomly selected Riverside High School student is in twelfth grade?

According to the question,

The first column has entries Mount Woodson High School, Valley High School, Riverside High School, Total number of students.

The number of randomly selected Riverside High School students is in twelfth grade = 200,

And Total number of students in Riverside High School is = 500

Therefore,

The probability that a randomly selected Riverside High School student is in twelfth grade is,

[tex]\rm P(12th \ grade \students ) = \dfrac{Number \ of \ students \ in \ 12th \ grade }{Total\ number \ of \ students}\\\\ P(12th \ grade \students ) = \dfrac{200}{500}\\\\ P(12th \ grade \students )= 0.4[/tex]

Hence, The required probability that a randomly selected Riverside High School student is in twelfth grade is 0.4.

For more details about Probability refer to the link given below.

https://brainly.com/question/795909

Answer:

C

Step-by-step explanation:

Please I need Help!!! Solve this equation by factoring by grouping x^2-4x=12. All work must be shown and no other method will be accepted.

Answers

x² - 4x = 12

x² - 4x - 12 = 0

x² + (2x - 6x) - 12 = 0

x² + 2x - 6x - 12 = 0

x (x + 2) - 6 (x + 2) = 0

(x - 6) (x + 2) = 0

Then the solutions are x = 6 or x = -2.

I rlly don’t understand due today please help!

Answers

Answer:

a) 2x+4

b)x=8

Step-by-step explanation:

a) x+x+4 =2x +4

b) 2x+4= 20

2x = 16

x=8

Jay bought 8 packets of Chips

c) Jay: 8 x 60

=£4,80

Lauren : 12 × 60

= £7,2

what is the value of 5/6 divded by 1/2 helpi am bad at math

Answers

Answer:

5/3 or 1 2/3

Step-by-step explanation:

when you multiply fractions, you must 'multiply by the reciprocal'

you keep the first fraction the same, then you change the operation to multiplication, and finally you flip the second fraction so the denominator becomes the numerator and vice versa

5/6 ÷ 1/2 is the same as 5/6 × 2/1 = 10/6

always reduced to lowest terms when you can . . .

10/6 equals 5/3

Answer:

1.6667 as a decimal

Step-by-step explanation:

Hope this helps! Have a great rest of your day!

Alexa has set up a lemonade stand outside her house and sells small cups and large cups of lemonade. Each small cup holds 8 ounces of lemonade and each large cup hold 16 ounces of lemonade. Alexa used 320 ounces of lemonade and sold twice as many small cups as large cups. Determine the number of small cups sold and the number of large cups sold.

Answers

Answer:

9485735

Step-by-step explanation:

help please anybody Mhm​

Answers

Answer:

B

Step-by-step explanation:

Answer:

Your answer would be C

Step-by-step explanation:

Because its a ratio of integers with a nonzero denominator.

need help with this asap………

Answers

Answer:

y= 32

Step-by-step explanation:

HOPE THIS HELPS :)

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