Help! Me solve this problem please

Mathematics

1 answer:

snow_tiger [21]2 years ago

5 0

Answer: 2 1/4

Step-by-step explanation:

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A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row. How many seats are

Anna35 [415]

Answer:

8428

Step-by-step explanation:

According to the Question,

Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.

We have a number sequence 13, 18, 23, ...

We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.

The formula for the sum of an arithmetic sequence with n terms is given is $S_n= \frac{n}{2} [2a_1+(n-1)d]S$ .

Substitute the given values into the equation to solve for the sum of the 56 rows of seats.

$S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428$

Therefore, there are 8428 seats in all.

4 0

2 years ago

I the equation 3x^2+6x=12, the value of c is?

ozzi

Answer:

c = -12

Step-by-step explanation:

Quadratic Standard Form: ax² + bx + c

Step 1: Write equation

3x² + 6x = 12

Step 2: Subtract 12 on both sides

3x² + 6x - 12 = 0

Here, we have the standard form of the quadratic. We see that our c = -12

4 0

2 years ago

A meter is 3.37 inches more than a yard swimmer a swims 100 meters and swimmer b swims 100 yeards how many more feet did swimmer

olga_2 [115]

Swimmer a swims 100 meters, which is 100 1-meters, which is 100
(1 yards +3.37 inches) = 100 yards + 337 inches.

1 yard is 3 feet, so 100 yards are 300 feet.

100 in is 8.33 feet so
337 in is (337*8.33)/100=28.07 feet

Swimmer b swims 100 yards, which is 300 feet

Swimmer a swam 28.07 feet.

4 0

2 years ago

I need help with this question

umka21 [38]

Answer:

$Tax~required~to~be~paid = 5.4% (5) = \frac{5.4}{100}(5) = \frac{27}{100}$ $~of~(5) = \frac{5.4}{100}(5) = \frac{27}{100} = 0.27~dollars$