Answer:
B
Step-by-step explanation:
180 - 100 = 80
80 = 30 = 110
180 - 110 = 70
The sum of the first 75 terms of the arithmetic sequence that has 10th term as 16 and the 35th term as 66 is 5400.
<h3>How to find the sum of terms using Arithmetic sequence formula</h3>
aₙ = a + (n - 1)d
where
Therefore, let's find a and d
a₁₀ = a + (10 - 1)d
a₃₅ = a + (35 - 1)d
Hence,
16 = a + 9d
66 = a + 34d
25d = 50
d = 50 / 25
d = 2
16 - 9(2) = a
a = 16 - 18
a = -2
Therefore, let's find the sum of 75 terms of the arithmetic sequence
Sₙ = n / 2 (2a + (n - 1)d)
S₇₅ = 75 / 2 (2(-2) + (75 - 1)2)
S₇₅ = 37.5 (-4 + 148)
S₇₅ = 37.5(144)
S₇₅ = 5400
learn more on arithmetic sequence here: brainly.com/question/1687271
Answer: 31
Step-by-step explanation:
To find the distance, find the difference between the number.
23 - (-8) = 31 So the distance is 31 units.
Note: To go from -8 to 23 you will have to add 31 to -8 and to go from 23 to -8 you will have to subtract 31 so the distance is 31
Answer:
The answer is: There are only 143034 books left after the students return to their classroom
Step-by-step explanation:
Lets call X= Number of books left in the library after the students return to their classroom.
B=Total of Books in the library
S=Total of books taken by the 3rd grade students
If each student of the 3rd grage class take 2 books, the total of book taken by the 3rd grade students would be:
S=2 books per student * Total of students of the 3rdgrade
S=2*21=42
Then we must substract Total of Books in the library minus Total of books taken by the 3rd grade students. That would be:
X=B-S
X=143076-42
X=143034
I hope that this answer will help you
Answer:
Step-by-step explanation:
The diagram shows lines passing through the points of two equations.
We will determine the points through which the lines pass through on the graphs.
Looking at the line on the right hand side of the graph, the slope is
(y2-y1)/x(2-x1) where
y2= 0, y1 = 4
x2 = 3, x1=0
Slope, m = (0-4)/3-0
Slope = -4/3
Recall the equation of a straight line is y = mx + c
Where c is the intercept.
So the equation is y
y = -4x/3 + 4
Looking at the line on the left hand side of the graph, the slope is
(y2-y1)/x(2-x1) where
y2= 0, y1 = 2
x2 = -1, x1 =0
Slope, m = (0-2)/-1-0
Slope = -2/-1 = 2
Applying equation of a straight line is y = mx + c
The equation
y = 2x + 2
So the equations are
-4x/3 + 4. If x lesser than or equal 0
2x + 2. If x greater than 0
