A small auditorium has 10 rows of seats. There are 12 seats in the row and 16 seats in the second row the number of seats in a row continues to increase by 4 with each additional row. What is the total number of seats in the auditorium?

Answers

Answer 1
Answer:

This problem can be solved through simple arithmetic progression

Let

a1 = the first term of the sequence

a(n) = the nth term of the sequence

n = number of terms

d = common difference

Sn = sum of all terms

 

given

a1 = 12

a2 = 16

n = 10

 

d = 16 -12 = 4

@n = 10

a(n) = a1 + (n-1)d

a(10) = 12 + (9)4

a(10) = 48 seats

 

Sn = (n/2) * (a1 + a(10))

Sn = 5* (12 + 48)

Sn = 300 seats

 

Therefore the total number of seats is 300.

 

 


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What is the PE of a 10 kg box that drops 10 meters?

Answers

Change of PE over a height of 10m = M G H = (10) (9.8) (10) = 980 joules.

When the box hits the bottom, it has 980 joules less PE than it had
before it started dropping. 

(As well as 980 joules more kinetic energy.)
P.E = mgh                           
M= MASS
G= ACCELERATION DUE TO GRAVITY
H = HEIGHT
P.E= 10 * 10 * 10
P.E = 1000J

Identify which property of equality is used to transform Equation 1 to Equation 2.Equation 1: x – 6 = 14
Equation 2: x = 20

A.
multiplication property of equality

B.
division property of equality

C.
subtraction property of equality

D.
addition property of equality

Answers

D. addition property of equality

That will be your 100% sure answer!

Answer:

\boxed{D.}

Step-by-step explanation:

On A.- Multiplication property of equality is multiplying both sides of an equation by the same number it does not change the equation.

______________________________________________________

On B. - Division property of equality is dividing both sides of an equation by the same non-zero number it does not change the equation.

________________________________________________________

On C.- Subtraction property of equality is subtracting the same number from both sides of an equation it does not change the equation.

________________________________________________________

On D.- Addition property of equality is adding the same number to both sides of an equation it does not change the equation.

x-6=14

First you had to add by six from both sides of an equation form.

x-6+6=14+6

Then simplify by equation.

x=20

Final answer: \boxed{x=20}

_______________________________________________________

Hope this helps!

And thank you for posting your question at here on brainly, and have a great day.

-Charlie

Mrs. Rodrigues wants to compare the spread of the test scores of her two biology classes. Which statistic should she use?

Answers

The statistics she should use should be one of the measures of variability. There are 4 measures of variability, namely, the range, inter-quartile range, variance, and the standard deviation. She can use the interquartile range to compare the scores by percentile ranking if she wants to know it.

Answer:

The Answer is Standard DeviATION sorry i accidentally hit my caps lock

Step-by-step explanation:

Which of the following represents "Twice the abscissa increased by three times the ordinate is ten"?a.3x + 2y = 10
b.2y + 3x = 10
c.2x + 3y = 10

Answers

Twice the abscissa increased by three times the ordinate is 10.
x - the abscissa;
y - the ordinate.
Answers A and B represents: "Three times the abscissa increased by twice the ordinate is 10." Therefore A are B are wrong.
Answer:
C ) 2 x + 3 y = 10

If two pairs of corresponding sides and one pair of corresponding angles are congruent then the triangles are congruent by side angle side

Answers

Only If the corresponding angles are in between the corresponding sides, than it would be ASA, or if the triangle was a right triangle and the hypotenuses and legs were congruent.

The angle of elevation from L to K measures 55°. If JK = 26, find JL. Round your answer to the nearest tenth.A. 37.1
B. 21.3
C. 14.9
D. 26.8

Answers

the angle of elevation is the degree at which you need to look up, therefore the angle between the dotted line, let's call it LM, and line LK is 5 degrees

Angle JLK and Angle KLM are also complimentary angles, meaning that they both add up to 90 degrees, therefore angle JLK = 90-55=35degrees

Now, SOHCAHTOA comes in handy to find JL. Since we know JLK and JK, this is going to be a breeze.
Since the sides we are using are opposite and adjacent to JLK, we are going to use tan.
So: tan = o/a
however, as we don't know a, we need to rearrange the equation so a is on its own
tan=o/a (times both sides by a)
tan a = o (divide both sides by tan)
a = 0/tan

Now we can solve the equation with the information given
a = 26/tan35
a = 26/0.7
a=37.13184818
=> 37.1

So, you can put down A as your answer :D

Answer:

37.1

Step-by-step explanation: