1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Paul [167]
3 years ago
13

(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0
Sum = n/2[2a + (n - 1)d] where a = first term, n = number of terms and d = common difference

(a) 30/2(2 x 5 + (30 - 1) x d) = 1455
10 + 29d = 1455 / 15
29d = 97 - 10
d = 87 / 29 = 3

(b) 7/2(2 x 9 + (7 - 1)d) = 0
18 + 6d = 0
6d = -18
d = -3
You might be interested in
Help me please it would be appreciated
allochka39001 [22]
Since it is the midpoint we can say:
12x  - 1 = 8x +11
All we have do to is get all the x's alone on one side

12x - 1 = 8x + 11
12x = 8x + 12    (add both sides by 1)
4x = 12   (subtract both sides by 8x)
x = 3       (divide both sides to get what x is)
8 0
3 years ago
Solve for BC and round your answer to the nearest hundredth
Tasya [4]
You gotta round the be to 100,000
6 0
3 years ago
Which statement is true about f(x) = –6|x + 5| – 2?
snow_lady [41]

Answer:

Step-by-step explanation:

"The graph of f(x) is a horizontal compression of the graph of the parent function" is true; the graph will appear to be narrower than that of y = |x|.  I would prefer to state "the graph of f(x) exhibits vertical stretching of the original (parent) function graph."

4 0
3 years ago
Read 2 more answers
I need the answer this is hard
vlada-n [284]

it takes the robot 32/3 hour(s) to complete one task which in decimal form would be something like 10.6667.

3 0
3 years ago
you buy a ring box as a birthday gift that is in the shape of a triangular prism. what is the least amount of wrapping paper nee
garri49 [273]
What are the measurements

6 0
3 years ago
Other questions:
  • Marty teaches music in his community. He teaches three classes a day, and each class has fewer than 8 students. If Marty teaches
    15·1 answer
  • Please help! I'll give out the brainiest!
    14·1 answer
  • Factor the expression and find the zeros h(x)=2x2−11x+15
    8·1 answer
  • Find The missing length
    14·1 answer
  • What is equivalent to 7(3x-2)+4(x+5)
    11·2 answers
  • Quadrilateral ABCD is a parallelogram. If the measure of angle A is 62 degrees and the measure of angle ADB is 75 degrees, what
    8·1 answer
  • Use the magnitudes​ (Richter scale) of the earthquakes listed in the data set below. Find the mean and median of this data set.
    5·1 answer
  • The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 5,
    8·2 answers
  • Simplified expression of 3(7/5x+4)-2(3/2-5/4x)
    11·1 answer
  • Find the 2 angles coterminal to 1490 that have the smallest absolute value
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!