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NNADVOKAT [17]
3 years ago
8

A theater has 1200 seats. Each row has 20 seats. Write and solve and equation to find the number x of rows in the theatre

Mathematics
1 answer:
vfiekz [6]3 years ago
8 0

Answer:

1200÷20=x and x=60

Step-by-step explanation:

  60

x 20

---------

1200

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Can you please help me
Ganezh [65]

Answer:

V = 113.1

Step-by-step explanation:

V= 4/3 π r^3

V= 4/3 x 3.14 x 3^3

V= 4.19 x 27

V= 113.13

rounded to 113.1

4 0
3 years ago
Identify a possible first step using the elimination method to solve the system and then find the solution to the system.
scoundrel [369]

\bf \begin{array}{lcrrrrr} 2x-5y=11&\stackrel{\stackrel{\textit{\large first step}}{\downarrow }}{\times -3}\implies &-6x&+&15y&=&-33\\ 3x+2y=7&\times 2\implies &6x&+&4y&=&14\\\cline{3-7} &&0&+&19y&=&-19 \end{array} \\\\\\ y = \cfrac{-19}{19}\implies \boxed{y=-1} \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{2x-5(-1)=11\implies 2x+5=11}\implies 2x=6\implies x = \cfrac{6}{2}\implies \boxed{x = 3} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill (3~~,~~-1)~\hfill

4 0
3 years ago
you secure a mortgage to buy a house with a loan of $140,000 at 8.5% for 20 years. answer the following questions about that loa
Yuri [45]

Answer:

  • monthly payment $1214.95
  • 1st month's interest $991.67
  • balance after 1st payment $139,776.72
  • 2nd month's interest $990.09
  • balance after 2nd payment $139,551.86

Step-by-step explanation:

The monthly interest rate is ...

  \dfrac{8\%}{12}=0.00708\overline{3}

a) The monthly payment is given by the amortization formula:

  A = Pr/(1 -(1+r)^-n)

where r is the monthly interest rate on a loan of amount P for n months.

  A = $140,000(0.0070833)/(1 -(1.0070833^-240)) = $1214.95

The monthly payment is $1214.95.

__

b) The amount to interest is the product of the remaining principal and the monthly interest rate.

 first month's interest = $140,000·0.0070833 = $991.67

__

c) The balance after the first payment is ...

  new balance = $140,000 +991.67 -1214.95 = $139,776.72

__

d) The amount to interest for the second payment is computed the same way:

  second month's interest = $139,776.72·0.00708333 = $990.09

__

e) The balance after the second payment is computed the same way:

  new balance = $139,776.72 +990.09 -1214.95 = $139,551.86

8 0
3 years ago
Mt. McKinley, which is the highest elevation in North America, is 20,320 feet above sea level. Death Valley, which is the lowest
tatuchka [14]
20,320 + Ι-282Ι = 20,602
The vertical lines indicate absolute value, or the distance from sea level.
4 0
3 years ago
What is the area of a parallelogram with a base of 38 meters and a height of 12 meters?
8090 [49]

For this case we have by definition that the area of a parallelogram is given by:

A = b * h

Where:

b: It's the base

h: It's the height

According to the data we have:

b = 38\ m\\h = 12 \ m

Substituting in the formula:

A = 38 * 12\\A = 456

The area of the parallelogram is A = 456 \ m ^ 2

Answer:

A = 456 \ m ^ 2

4 0
3 years ago
Read 2 more answers
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