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Shtirlitz [24]
4 years ago
6

In a theater, there are 20 chairs in the first row, each row has 4 more chairs than the previous row, and there are 15 rows. How

many chairs are there in the theater?
Mathematics
1 answer:
kow [346]4 years ago
6 0

Answer:

There are a total of 720 chairs in the theater

Step-by-step explanation:

First row = 20 chairs

Second row = 24 chairs

Third row = 28 chairs

The given is an arithmetic progression (A.P)

First term

a = 20

Common difference

d = 4

Number of terms

n=15

Sum of the chairs in the theater with a total of 15 rows

Sum of an A.P = n/2 { 2a + (n-1) d}

= 15/2{ 2*20 + (15-1) 4}

= 7.5 { 40 + (14) 4 }

= 7.5 { 40 + 56}

= 7.5(96)

=720 chairs

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What is 18x-(8x-7)=67
dimaraw [331]

Answer:

6

Step-by-step explanation:

18x−(8x−7)=67

Step 1: Simplify both sides of the equation.

18x−(8x−7)=67

18x+−1(8x−7)=67(Distribute the Negative Sign)

18x+−1(8x)+(−1)(−7)=67

18x+−8x+7=67

(18x+−8x)+(7)=67(Combine Like Terms)

10x+7=67

10x+7=67

Step 2: Subtract 7 from both sides.

10x+7−7=67−7

10x=60

Step 3: Divide both sides by 10.

7 0
3 years ago
Ed needed to extend the string on his kite. The current string was seven and three fourths feet. He cut a piece of string that m
soldi70 [24.7K]

The new length of the string will be 16  1/4 feet. Then the correct option is B.

<h3>What is the length?</h3>

It is the measure of distance between the two points and is known as length. The length is measured in meters generally.

Ed needed to extend the string on his kite. The current string was seven and three-fourths feet that is (7  3/4).

The mixed fraction number is coverted into a decimal number.

7  3/4 = 7.75 feet

He cut a piece of string that measured 8.5 feet and added it to the existing string.

Then the new length of the string will be

L = 7.75 + 8.5

L = 16.25

L = 16  1/4 feet

The new length of the string will be 16  1/4 feet. Then the correct option is B.

More about the distance link is given below.

brainly.com/question/26711747

#SPJ1

4 0
2 years ago
How many linear equations make up a system of linear equations?
pochemuha
A system of linear equations is a set of two linear equations with two variables.
3 0
3 years ago
The area of a rectangle is 21 yd.² and the length of a rectangle is 1 yard or less than twice the width find the dimensions of t
emmasim [6.3K]

Answer:

length = 6 yards

width = 3.5 yards

Step-by-step explanation:

the length of a rectangle is 1 yard less than twice the width

LEt 'w' be the width of the rectangle

and 'l' be the length of the rectangle

length l = 2 times the width -1

so l = 2w -1

Area of the rectangle = length * width

Area = l * w

we know length is 2w-1  and given area = 21

21 = (2w-1) * w

21= 2w^2 - w

subtract 21 on both sides

0= 2w^2 - w - 21

now solve for 'w'

0= 2w^2 +6w -7w- 21

0 = 2w(w+3)-7(w+3)

0= (2w-7)(w+3)

2w-7 = 0                    and w+3 =0

w = 7/2                            w=-3

width cannot be negative so we ignore w=-3

width w= 3.5

length = 2w-1= 2(3.5) - 1= 7-1=6

length = 6 yards

5 0
4 years ago
Please answer i wanna get this over with h ^-2 / h ^4
Svetllana [295]

Answer:

= h^-6

Step-by-step explanation:

When dividing powers you subtract them (indices rules)

--> -2 - 4 = -6

Hope this helps, please mark as brainliest

5 0
3 years ago
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