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
julsineya [31]
3 years ago
14

An auditorium has 30 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seat

s are in the auditorium? (1 point)
Mathematics
2 answers:
WARRIOR [948]3 years ago
8 0

Answer:

My answer is 1170 but the way I figured out the problem was by listing numbers 1-30. the problem state that the 1st row had 10, 2nd row had 12, and 3rd row had 14 and so forth. So I basically did the same method till I got to 30 and then add up all the numbers which gave me the answer of 1170.

Step-by-step explanation:

Grace [21]3 years ago
5 0

Answer:

1170

Step-by-step explanation:

<em>hey there,</em>

(the other person just calculated each number themselves then added them up which i guess is okay but not in the long term for when you're taking a test for example or your teacher asks you this kind of question so it's better to memorize a formula.)

< There are two types of sequences: arithmetic and geometric. So also two formulas for finding sums of each. This situation is an arithmetic sequence.

Formula for the sum of an arithmetic sequence: S_n=\frac{n}{2} (a_1+a_n)

We know there are 30 total rows so <em>n</em> = 30. <em>a1 </em>is the very first term of a sequence so this is 10 in this situation. Before we fill in the formula, we should find what <em>an</em> is equal to.

For this, we will use the basic formula you learned previously: a_n=dn+c

<em>d</em> (the common difference) = a2-a1 = 12-10=2

<em>c </em>(the common ratio) = a1-d = 10-2 = 8

an = dn + c = 2(30) + 8 = 68

Now that we have found what a_n is equal to, we can plug everything into the sum equation.

S_n = \frac{30}{2} (10+68)=1170

So 1170 is your final answer. >

<u>Hope this helped! Feel free to ask anything else.</u>

You might be interested in
Through (-3, 2) parallel to y = -2x-1
Slav-nsk [51]

Answer:

y = - 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x - 1 ← is in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes , then

y = - 2x + c ← is the partial equation

To find c substitute (- 3, 2 ) into the partial equation

2 = 6 + c ⇒ c = 2 - 6 = - 4

y = - 2x - 4 ← equation of parallel line

3 0
3 years ago
A rectangle has a length of 9.00 inches and a width of 4.25 inches. What is the area in square inches? Round to the correct sign
katovenus [111]
Write an Expression: 

4.25*9 = X

4.25*9 = 38.25 in²
7 0
3 years ago
What is an equivalent expression to 10h+14k
choli [55]
------------------
10h + 14k = 2(5h+7k)
------------------
5 0
3 years ago
Question 5.<br> Given that cos(O) = 4/5, find:<br> a) sin(0)<br> b) tan (0)
Luda [366]

Step-by-step explanation:

here's the answer to your question

4 0
3 years ago
Please only answer if you know the answer
vivado [14]
How are we supposed to answer when you literally only have like 1/3 of the stuff shown
8 0
3 years ago
Other questions:
  • A rectangle has a perimeter of 144 inches. The width of the rectangle is 12 inches less than the length. What is the width in in
    10·1 answer
  • Please help! number 5
    10·1 answer
  • Samantha rose 22 kilometers on her bike . Which expression should be used to show how many meters she rode.
    8·1 answer
  • Find the annual rate of interest. Principal = 4600 rupees, Period = 5 years, Total amount = 6440 rupees, Annual rate of interest
    15·1 answer
  • 신안출장샵ブ《카톡Wht73 신안콜걸 Dio25,Net》일본인신안출장마사지ブ신안콜걸샵ブ신안출장만남,신안출장샵추천,신안출장업소,신안출장안마
    5·1 answer
  • Please help me!!!<br><br> Hhhhhhhhhhhhhh
    15·1 answer
  • A middle school took all of its 6th grade students in a field trip to see a ballet at a theater that has 4200 seats. The student
    7·1 answer
  • A dessert recipe calls for 2.5 cups of milk and makes 5 servings how many cups of milk are needed for 8 servings
    8·2 answers
  • I need help I’m stuck
    11·1 answer
  • A 6 inch personal pizza has 640 calories, with 240 of those from fat. A 12 inch pizza is cutinto 8 slices. Estimate the number o
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!