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
Mrac [35]
3 years ago
13

Murtha has decided to start a pebble collection. She collects one pebble the first day and two pebbles on the second day. On eac

h subsequent day she collects one more pebble than the previous day. How many pebbles will she have collected at the end of the twelfth day
Mathematics
1 answer:
Musya8 [376]3 years ago
4 0

Answer:

78

Step-by-step explanation:

Given that:

First day (a) = 1

1 more pebble every subsequent day than the previous day

Tn = a + (n - 1)d

d = common difference ; difference between pebbles in two successive days = 1

n = nth day

At the end of the 12th day;

Tn = a + (n - 1)d

T(12) = 1 + (12 - 1) 1

T(12) = 1 + 11

T(12) = 12

Appling the sun if arithmetic progression formula : Sum of AP:

n/2 (a + Tn)

n = number of terms

12/2 (1 + 12)

6(13)

= 78

You might be interested in
What is the equivalent of π/6 radians in degrees. Question and answers are in photo above
Karolina [17]

There are a number of radian-degree equivalents that it would be time-saving and otherwise worthwhile to memorize. π/6 = 30 degrees is one of these. For reference, here are a few others:

radians degrees

0 0

2π 360

π 180

π/2 90

π/4 45

and so on. Good luck!


3 0
3 years ago
Consider the quadratic equation x2 − 6x = 16.
e-lub [12.9K]

Answer:

  1. C) (x − 3)2 = 25
  2. C) Factor out 4 from 4x2 + 40x.

Step-by-step explanation:

1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.

___

2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.

Here, that looks like ...

  4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4

  4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation

  4(x +5)² = 180 . . . . . . . . . . . written as a square

8 0
3 years ago
What type of triangle is pictured?
Evgen [1.6K]

Answer:

I think it is either A or D

5 0
3 years ago
Read 2 more answers
Add. Simplify your answer and write it as a proper fraction or as a whole or mixed number. 9/ 10 + 4/ 5 =
Serjik [45]
Before adding dissimilar fractions (fractions with different denominator), you have to make the fractions similar first. To make the fractions similar, find the Least Common Multiple of the denominator. In this case, the LCM is 10. Then rewrite the fractions using the LCM as the denominator.
9/10 = 9/10; 4/5 = 8/10
You can now proceed with addition -
9/10 + 8/10 = 17/10 or 1 7/10
3 0
3 years ago
55 is 40% of what number
Oxana [17]
It is important to do the calculations very carefully. Otherwise there is nothing complicated about this problem.
Let us assume the unknown number = x
Then
40x/100 = 55
40x = 55 * 100
40x = 5500
x = 5500/40
  = 550/4
  = 137.5
So 55 is 40% of 137.50. I hope the procedure is clear to you and in future you can solve such problems on your own without requiring any help from outside.This is the simplest way of solving such problems.



5 0
3 years ago
Read 2 more answers
Other questions:
  • 2g + 14 + 5g – 8g = -3 + 8
    12·1 answer
  • What’s the nth term of 7,14,23,34,47,62,79
    9·1 answer
  • The percent decrease in the price of bottled water
    15·1 answer
  • Bastien, Inc. has been manufacturing small automobiles that have averaged 50 miles per gallon of gasoline in highway driving. Th
    12·1 answer
  • How do you know how long a trip will take if you have 399 mileage on one tank of gas but the maximum you can drive in one day is
    11·1 answer
  • Express 12/3 as a mixed number
    14·2 answers
  • A high school coach wants to buy new athletic shorts for the 15 members of the basketball team.The coach must spend less than $2
    5·1 answer
  • Explain the steps you would take to complete this conversion problem.
    11·1 answer
  • [[-2,10],[0,4],[4,-8],[6,-14],[9,-23]]
    10·1 answer
  • 1/4 diveided bye 9/10
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!