• 3 + k , 18 - k and 5k + 1 are in AP .
To find :• The value of K .
Solution :• As we know that, In AP common difference is same :
• b - a = c - b
=> 2b = a + c
Here ,
• a = 3 + k
• b = 18 - k
• c = 5k + 1
=> 2 ( 18 - k ) = 3 + k + 5k + 1.
=> 36 - 2k = 4 + 6k
=> 36 - 4 = 6k + 2k
=> 32 = 8k
=> k = 32/8
=> k = 4
Hence , the value of k is 4.
Answer:
k=4
Step-by-step explanation:
Since the given terms are in A.P., the common difference will be the same
So, 18-k-3-k = 5k+1-18+k
15-2k = 6k-17
6k+2k = 17+15
8k = 32
k = 4
|5x+9|=4x solve for all values of x
If the pth term of an A.P. is q and the qth term is p. Prove that its nth term is (p+q-n).
pth term of an AP = q
qth term = p
Prove:nth term of A.P. is (p+q-n).
Proof:We know that,
nth term of an AP (an) = a + (n - 1)d
Hence,
⟹ a + (p - 1)d = q
⟹ a + pd - d = q
⟹ a = q - pd + d -- equation (1)
Similarly,
⟹ a + (q - 1)d = p
Substitute the value of a from equation (1).
⟹ q - pd + d + qd - d = p
⟹ qd - pd = p - q
⟹ - d(p - q) = p - q
⟹ - d = 1
⟹ d = - 1
Substitute the value of d in equation (1).
⟹ a = q - p( - 1) + ( - 1)
⟹ a = q + p - 1
Now,
an = q + p - 1 + (n - 1)( - 1)
⟹ an = q + p - 1 - n + 1
⟹ an = p + q - n
Hence, Proved.
I hope it will help you.
Regards.
Step-by-step explanation:
ANSWER
pth term = q
a+(p−1)d=q
qth term = p
a+(q−1)d=p
Solving these equations, we get,
d=−1
a=(p+q−1)
Thus,
nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)
plz plz plz help me quick i got 10 mins
Answer:
y=x+6
Step-by-step explanation:
whats love, in words dont give as random answer
Answer:
Love is something you have to take care of figuratively.
Love is life, but love is sometimes not the thing to have sometimes
Love could be great, Love could be bad.
Step-by-step explanation:
Kayla began a science experiment with 18 grams of an unknown solid. During the experiment, the change in the mass of the solid was – 7 grams. What was the mass of the solid at the end of the experiment? To solve the problem, Edna subtracted 18–( – 7) and came up with an answer of 25 grams. Is Edna correct? Why or why not?
Answer:
No. Enda should have added 18+ (-7) because she needed to add the initial mass and the change in mass.
Step-by-step explanation:
expand (2x+3) (2x-5)
Answer:
4x^2−4x−15
Split using the sum and difference of the formula, the simplify
Look a the picture please
Answer:
a. 6 1/2
Step-by-step explanation:
If each of the teacher's students needs 1/4lbs of clay and she has 26 students, all we have to do is divide 26 by 4. 26/4=6.5
6.5 as a fraction is 6 1/2. So, the answer is a.
Have an amazing day!! Good luck on your test C:
For an avian research study, scientists wanted to estimate the local robin population. The scientists captured, tagged, and released 55 robins. A week later, they noted 30 tagged robins out of the 300 robins they counted. To the nearest whole number, what is the best estimate for the robin population?
Answer: The estimated number of robins in the population is 550
Step-by-step explanation: To estimate the population of robins, we will use the Mark-Recapture technique:
1) Capture a small number of individuals, mark them (with tags or other harmless identification) and release them;
2) After a period of time, catch another group and count the ones who have the mark;
3) Estimate the population using:
[tex]N=\frac{M*C}{R}[/tex]
where
N is the estimate of individuals in the population
M number of individuals marked
C is the total number of individuals captured the second time
R is the number of individuals with the mark recaptured
For the population of robins:
[tex]N=\frac{55*300}{30}[/tex]
[tex]N=\frac{16500}{30}[/tex]
N = 550
The best estimate for the robin population is 550.
8. The length of an actual road is
1,000 miles. If 1 inch represents
100 miles, what is the length of
the road on the map?
Answer:
It's A.
Step-by-step explanation:
Answer:
10 inches
Step-by-step explanation:
1,000 / 100 = 10
Suppose the eggplants at a store in Thailand are priced at 1.24 baht per kilogram,
where one dollar is worth 1.37 baht, and 1 kg = 2.2 lb. What is the price of the
eggplants in dollars per pound?
A:$0.77 per pound
B:$0.41 per pound
C:$3.75 per pound
D:$2.00 per pound
Please help with this problem
Step-by-step explanation:
the answer is because AP is not congruent to PB
There were 65 students in the chess club this year. The very next year the chess club increased its members by 20%. How many more students joined the club?answer are A,65.B,20,C13.D78.
Answer:
d.
Step-by-step explanation:
Because it increased and it also went up by 20%
Ryan shaded 70 squares on his hundredths grid. Sarah shaded 80 squares on her hundredths grid Part A Which value is greater than Ryan's decimal and less than Sarah's decimal A.70/100+4/100 B. 60/100+5/100 C. 80/100 D. 80/100+15/100
Answer:
A
Step-by-step explanation:
Here, we want to select which of the options is greater than Ryan’s decimal but less than Sarah’s
Ryan shades 70 out of 100 so his decimal will be 70/100 = 0.7
Sarah shades 80 out of 100, so his decimal will be 80/100 = 0.8
So we want a decimal greater than Ryan’s but less than Sarah’s
Let’s take a look at the options
The first option would be 70/100 = 0.7 + 4/100 = 0.7 + 0.04 = 0.74
We can see that this is greater than 0.7 but less than 0.8
So, this is our answer
=-09i8u9yh8guvyh bcnvjhulygtfrdsezawDFxcghjiuhygtfyhvbjkliouyggvbjhkio;uytfrderswaqwszedrtfyguhiiio
1. 1 and 22 are vertical angles. If m1 =
(5x + 12) and m2 = (6x - 11), find m1.
Answer:
127 degrees
Step-by-step explanation:
Becky needs to choose a new cell phone plan. She has 2 choices. Carolina Cell offers a monthly fee of $20.79 and $2.00 for each gigabyte of data used. Sanford Cell offers a monthly fee of $22.89 and $1.50 for each gigabyte of data used. What is the amount of gigabytes, to the nearest tenth, when both plans would cost the same?
Answer:
4.2 gigabytes
Step-by-step explanation:
To find the answer, you need to write an equation where the cost of Carolina Cell is equal to the cost of Sanford Cell:
20.79+2x=22.89+1.50x, where x is the number of gigabytes used.
Now, you can solve for x:
2x+1.50x=22.89-20.79
0.5x=2.1
x=2.1/0.5
x=4.2
According to this, the answer is that both plans would cost the same when 4.2 gigabytes are used.
AT&T charges $350 to get a plan with them, plus $60 per month. T-Mobile charges a $275 initial fee, plus $80 per month. Write an equation or inequality that can be used to determine the number of months it would take for T-Mobile to cost the same or more than AT&T.
Given :
AT&T charges $350 to get a plan with them, plus $60 per month.
T-Mobile charges a $275 initial fee, plus $80 per month.
To Find :
Write an equation or inequality that can be used to determine the number of months it would take for T-Mobile to cost the same or more than AT&T.
Solution :
Money-time relation of plan AT&T :
[tex]M_1 = 60x + 350[/tex]
Money-time relation of plan T-Mobile :
[tex]M_2 = 80y + 275[/tex]
( Here, x and y are number of months )
Let, after t months would take for T-Mobile to cost the same or more than AT&T.
So, [tex]M_2\ge M_1[/tex]
[tex]80t+275 \ge 60t + 350\\\\20t \ge 350 - 275\\\\20t \ge 75\\\\t \ge 3.75[/tex]
Hence, this is the required solution.
Mr. Heath owns a game store.
He offers workshops where students learn about different kinds of games and how to design their own games.
Sia designs a board game in which a card is drawn on each turn.
• A blue card means move forward 4 squares.
• A red card means move back 6 squares.
Sia begins at 0. She draws a blue card on each of her first three turns.
Then Sia draws only red cards and ends up back at 0. How many red cards did Sia draw?
he drew 2 cards
Step-by-step explanation:
because 4x3 is 12 and to get back to zero u would have to draw 2 red cards which are 6 each. so 4x3=12 and then 6x2=12 12-12=0
3^100 dan 10^50 lebih besar mana?
Answer:
The bigger is 10 to the power of 50 or 10^50
Step-by-step explanation:
3 to the power of 100 = 3100 = 51537752 0732011331 0364611297 6562127270 2107522001. = place digits is 50
10 to the power of 50 = 1050 = 1 0000000000 0000000000 0000000000 0000000000 0000000000. = place digits is 51
Write an algebraic expression for the statement.
The cost of m pounds of meat when the cost per pound is $3.54.
Answer:
y=3.54m
Step-by-step explanation:
it is pretty self explanatory
An algebraic expression for the statement could be as; y = 3.54m
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol.
Thus which can also be used to indicate the logical syntax's order of operations and other features.
We need to write an algebraic expression for the statement.
Given that The cost of m pounds of meat when the cost per pound is $3.54.
Therefore, the expression could be as;
y = 3.54m
hence, An algebraic expression for the statement could be as; y = 3.54m
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
Help asap people help with 6th grade..
Multiply. Use the greatest common factor to write each answer in the simplest form. 4/15 * 5/6
5/12 * 3/20
3/5 * 3/20
5/8 * 5/24
3 5/12 * 1 3/8
2 9/10 * 1 7/18
Answer:
1. 20/90 ----- GCF is 10 ----- 2/9
2. 15/240 ----- GCF is 15 ----- 1/16
3. 9/100 ----- GCF is 1 ----- 9/100
4. 25/192 ----- GCF is 1 ----- 25/192
5. 451/96 ----- GCF is 1 ----- 4 67/96
6. 725/180 ----- GCF is 5 ----- 4 1/36
help me pleaseeeeeeeeeeeeeee
Answer:
Neither
Step-by-step explanation:
Hope this helps!
Answer:
meme
how bout that
A train is traveling at 50 miles per hour. What is the train?
Answer:
The speed of the train = 50 mph = 50*1.61 = 80.5 km/hr = 80.5*1000/3600 = 22.36 m/s. The speed of a train is 54 km/h excluding its halting time.
Hope this helps! :)
log81 27 what does this equal
Answer:
3.90993025975
Step-by-step explanation:
What is the value of x
Answer: 2x= 40 so 2x20=40
Step-by-step explanation:every triangle has to add up to 180 digrees
65+75+40=180
Why does the author of this
historical fiction story include the
detail that Bass Reeves couldn't
read?
It shows that Reeves could creatively
work around his disadvantages.
It shows that Reeves had no time for
reading books on his travels.
It shows that Reeves faced dangerous situations because of his job.
It shows that Reeves preferred to work
alongside other lawmen
PLEASE HELP I WILL PUT BRAINLIEST
Answer:
It’s it shows that Reece could work around his disadvantages
Step-by-step explanation:
21st term: 3, 8, 13, 18 ?
Answer: 108
Step-by-step explanation:
Write the equation of the line in slope-intercept from (y=Mx+b) given:
What is the lcm of 12 & 9 pls help im in class and i dont have a clue
Answer:
36 is the lcm of this question
PLEASE I NEED HELP FIND THE X USE THE SCREEN SHOT
1/3 x + y = 4 solve for y
The simplified answer to the equation is [tex]y=-\frac{1}{3}x+4[/tex]
First, subtract [tex]\frac{1}{3}x[/tex] on both sides.
[tex]y=-\frac{1}{3}x+4[/tex]
You have isolated [tex]y[/tex] by itself, and the equation can't be simplified further, so [tex]y=-\frac{1}{3}x+4[/tex] is your answer.