Answers
Answer:
[tex]S_{25}=555[/tex]
Step-by-step explanation:
Given that,
In an AP, the 6th term is 39 i.e.
[tex]a_6=a+5d\\\\39=a+5d\ ....(1)[/tex]
In the same AP, the 19th term is 7.8 i.e.
[tex]a_{19}=a+18d\\\\7.8=a+18d\ ......(2)[/tex]
Subtract equation (1) from (2).
7.8 - 39 = a+18d - (a+5d)
-31.2 = a +18d-a-5d
-31.2 = 13d
d = -2.4
Put the value of d in equation (!).
39 = a+5(-2.4)
39 = a- 12
a = 39+12
a = 51
The sum of n terms of an AP is given by :
[tex]S_n=\dfrac{n}{2}[2a+(n-1)d][/tex]
Put n = 25 and respected values,
[tex]S_{25}=\dfrac{25}{2}[2(51)+24(-2.4)]\\\\=555[/tex]
Hence, the sum of first 25 terms of the AP is equal to 555.
Related Questions
What is the lowest term of 75/60 as an improper fraction?
Answers
Answer:
The lowest term 75/60 as an improper fraction is 5/4.
Kevin can walk 14 miles in 5 hours. How far can he walk in 3 1/2 hours?
Answers
Step-by-step explanation:
If he can walk 14 miles in 5 hours, take 14÷5 to find out how long he can walk in 1 hour. (2.8)
Then take 2.8 miles times 3.5 hours is 9.8 miles
You run a hotel with 1465 rooms. You currently have 296 rooms reserved by individuals and 651 rooms reserved by groups for a particular upcoming weekend. Historical trends indicate that this far out from the date in question, your booking rates are probably 67% for individual reservations and 56% for group reservations. Do you expect to be undercooked or overcooked for the upcoming weekend
Answers
Answer:
Hotel is over booked by 140 rooms
Step-by-step explanation:
Total number of hotel rooms = 1465
number reserved by individuals = 296
number reserved by groups = 651
booking rates = 67% for individual , 56% for groups
Determine if you are under booked or overbooked for the weekend
let X represent the number of rooms booked by individuals
and Y represent the number of rooms booked by groups
number of reserved room for individuals
= 67% of X = 296
X = 67% + 33%
= 296 + ( (296 / 67 ) * 33 )
= 296 + 146 ≈ 442
number of rooms reserved for groups
= 56% of Y = 651
Y =( 651 / 56 ) * 100
≈ 1163
Total rooms booked = X + Y
= 442 + 1163 = 1605
To determine if under booked or over booked
Total rooms booked - Total number of hotel rooms
= 1605 - 1465
= 140 ( Your Hotel is over booked )
Select all the statements that describe a unit rate. You must select all of the correct ones to receive credit.
a
Pete sold 1 poster.
b
Michael drives 50 miles in 1 hour.
c
Karen paid $10 for each pizza.
d
Jared bought 4 shirts and 1 hat.
e
Elizabeth earned 5 points for every correct test question.
f
Kelly climbed 50 stairs.
Answers
The answer are b,c, and f
I need help. q – 12 = 1
Answers
Answer:
q=13
Step-by-step explanation:
Given q - 12 = 1
we need to find q
to do so we need to isolate the variable using inverse operations
so to get rid of the 12 we add 12 but whatever we do to one side we do to the other
so we add 12 to each side
-12+12 cancels our
1+12=13
we're left with
q=13
If Matrix A is 4 x 4, and Matrix B is 4 x 3, what is the size of matrix AB? If AB is undefined, please state so.
Answers
What does (2+4(6))/2 equal?
16
13
14
10
Answers
Answer:
13
Step-by-step explanation:
You must use PEMDAS to solve this equation.
Solve everything in the parentheses first;
4(6) = 24
24 + 2 = 26
26 / 2 = 13
Final answer = 13
I am so confused right now. will give brainlest to anyone how can solve this chicken scratch lol
1. Write an equation representing this hanger
2. find the value (or "weight) of one circle (w).
3. Explain how you found the value of one circle (w)
I really have no idea what any of this is
Answers
Answer:
1. 25÷4w
2. w=6.25
3.I divided 25 by 4 to find w
Step-by-step explanation:
Which of the following sets of data does NOT represent a function? Set A x y 6 3 8 4 5 7 9 2 Set B x y 0 3 1 8 2 8 3 -7 Set C x y 10 7 20 11 30 9 40 7 Set D x y 3 9 2 2 8 -3 2 1 a. Set A b. Set B c. Set C d. Set D
Answers
Answer:
Set D
Step-by-step explanation:
There's 2 different y-values for the x value, 2 in Set D
find the average rate of change of the function y=f(x)=1/(x-1)^2-8 with respect to x on the interval -2≤x≤0
Answers
Answer:
The average rate of change is (f(3)-f(0))/3=(7-0)/3=7/3.
Step-by-step explanation:
Explain why the denominator 8 in 8/4 is not changed when adding the fractions.
Answers
Answer:Some fractions may look different, but are really the same, for example: It is usually best to show an answer using the simplest fraction ( 1/2 in this case ). That is called Simplifying, or Reducingthe Fraction
Step-by-step explanation:
If 20 kilograms equals about 44 pounds, how many pounds is 1 kilogram?
Answers
Answer:
2.2
Step-by-step explanation:
What type of graph would the following data create? (0,2) (1,3) (2,4) is this a Positive slope linear graph
Answers
Answer:
Yes it's a positive linear graph
Step-by-step explanation:
Answer:
yes dear it's a positive linear graph.
What is the value of p?
x=1/4y^2
Answers
Answer:
The value of p is 1
Step-by-step explanation:
we know that
The standard form of the equation of a horizontal parabola is
(y - k)² = 4p(I - h)
where
(h,k) is the vertex
p[tex]\neq[/tex] 0
if p > 0, the parabola opens to the right, and if p < 0, the parabola opens to the left.
In this problem we have
I = [tex]\frac{1}{4}[/tex]y²
Convert to standard form
y² 4I
The vertex is the point (0,0)
4p = 4
P = 1 -----> p > 0, the parabola opens to the right
how to rewrite equation 5x+7y-35=0 in slope intercept form?
Answers
What is the mode of the set of numbers below
25, 14, 33, 17, 14, 8
A. 14
B. 16
C. 17
D. 19
Answers
Find the area of the polygon 2cm 2cm 3cm in square centimeters
Answers
Answer:
12sq cm
Step-by-step explanation:
For Area, we do lenth x width x height. Here, the lenth and the width is 2, so we do 2x2 which is 4. Next the height is 3 so we do 4x3 which is 12. There is your answer. Hope it helps!
siny dy/dx=cosy (1-xcosy)
Answers
Step-by-step explanation:
hope it helpe...............
PLS HELPPPPPP ME!!! ASAP
Answers
Answer:
2.5
Step-by-step explanation:
Let x be the number of hours both people baby sit and y be the number of hours that they each earn.
Sarah:
y = 10 + 2.5x
Carly:
y = 7.5 + 3.5x
You know that the number of hours should be the same (y).
10 + 2.5x = 7.5 + 3.5x
Evaluate and find x.
10 - 7.5 = 3.5x - 2.5x
x = 2.5
Pls someone help me with this question pls
Answers
Answer:
[tex]p =\frac{1}{6}[/tex]
Step-by-step explanation:
Given
[tex]Polygons =\{Quadrilateral, Pentagon, Hexagon, Octagon, Nonagon, Decagon\}[/tex]
Required
Probability of assigning a nonagon
From the given set of polygons, there are 6 polygons in the set and 1 one of them is a nonagon
This means that:
[tex]n = 6[/tex] --- Total
[tex]Nonagons = 1[/tex]
So, the probability, p is:
[tex]p =\frac{Nonagons}{n}[/tex]
[tex]p =\frac{1}{6}[/tex]
Please help due soon.
Answers
Answer:
He should give his sister 41.50 dollars.
Step-by-step explanation:
WILL MARK BRAINLEST AND THANKS Area: 28.67 sq m and the side is 4.7 m The missing side length is equal to:??? m
Answers
Answer:
The area of this is 28.67 meters squared
Step-by-step explanation:
You must use division in order to complete the question
find the area of the right triangle.
Answers
Answer:
16 units²
Step-by-step explanation:
1/2x4x8=16
How many zeros does the equation
7x^4 - 63x^3 -29x^2+10x+15 have?
Answers
Answer:
1
Step-by-step explanation:
What is the value of y in the equation 3(3y-12)=0
Answers
Answer:
y = 4
Step-by-step explanation:
use the distributive property
9y - 36 = 0
+36 +36
9y = 36
divide by 9
y = 4
Hope this helped! Have a nice day! Plz mark as brainliest!!! :D
-XxDeathshotxX
giving brainliest !!!!!
Answers
formula for cylinder: π • r^2 • h
formula for sphere: 4/3 • π • r^3
plug in radius value (2) into the formulas and then find sum of the two volumes.
Write the number shown in standard notation.
6.6 x 105
OA) 6,600
O B) 660,000
O C) 66,000
OD) 6,600,000
Answers
Question here
I need help with this
Answers
cool can i have brainliest
Answer: nice the answer is ummmm I don’t know
Step-by-step explanation:
answer the questions, please I will give you 10 points
Answers
B) using PEMDAS you must multiply 5 times 5 to put 5 to its own power, then multiply by 2 to get 50, then add 4 getting 54.
C) 9 times 5y gets the normal number of 45, then subtract that from 80, you get 35.
Consider the two functions below which one of these functions in the line year what is its equation answer any answer totwo decimal places
Answers
Answer:
The thing u pasted is glitched and isn't loading
Step-by-step explanation: