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Ostrovityanka [42]
3 years ago
15

a rectangular room is three times as long as it is wide, and its perimeter is 80 meters. find the length of the room

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0
Let the width of the room be = x

Length of the room = 3x,  Since it is three times as wide

Perimeter = 80m

Perimeter = 2*(L + W) =  2*(3x + x)  = 80

2*(3x + x)  = 80

2*(4x)  = 80

8x  = 80     Divide both sides by 8

x = 80/8

x = 10,    But length = 3x,  = 3*10 = 30

Length = 30m
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The corner section of a football stadium has 6 seats on the first row. Each row after that has an additional 3 seats. How many s
julia-pushkina [17]

9514 1404 393

Answer:

  63

Step-by-step explanation:

The number of seats in a row will give an arithmetic sequence:

  6, 9, 12, 15, ...

The first term is 6; the common difference is 3. The general term is ...

  an = a1 +d(n -1) . . . . . . n-th term of sequence with first term a1, difference d

The 20th term of the sequence is ...

  a20 = 6 +3(20 -1) = 6 +57 = 63

There would be 63 seats on the 20th row.

7 0
3 years ago
18/4 leave your answer in fraction​
Ipatiy [6.2K]

Answer:

18/4

Step-by-step explanation:

5 0
3 years ago
Factor 16x^2 + 49. Check your work.
Shtirlitz [24]

Answer:

16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})

Step-by-step explanation:

Given : Expression 16x^2+49

To find : Factor the expression ?

Solution :

The given expression is a quadratic function y=ax^2+bx+c the solution is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

On comparing with general form,

a=16, b=0, c=49

Substitute in the formula,

x=\frac{-0\pm\sqrt{0^2-4(16)(49)}}{2(16)}              

x=\frac{\pm\sqrt{-3136}}{32}          

x=\frac{\pm56i}{32}      

x=\frac{56i}{32},\frac{-56i}{32}      

x=\frac{7i}{4},\frac{-7i}{4}              

Factors are (x-\frac{7i}{4}),(x+\frac{7i}{4})        

Therefore, 16x^2+49=(x-\frac{7i}{4})(x+\frac{7i}{4})    

4 0
3 years ago
Help
ycow [4]

Answer:

hat: $12

t-shirt: $8

Step-by-step explanation:

Let the price of 1 hat = h.

Let the price of 1 t-shirt = t.

Julie: h + 2t = 28

Raj: 2h + t = 32

We have a system of 2 equations in 2 variables.

h + 2t = 28

2h + t = 32

Let's use the substitution method to solve the system of equations.

Solve the first equation for h.

h = 28 - 2t

Substitute 28 - 2t for h in the second equation.

2(28 - 2t) + t = 32

56 - 4t + t = 32

56 - 3t = 32

-3t = -24

t = 8

h = 28 - 2t

h = 28 - 2(6)

h = 12

Answer:

hat: $12

t-shirt: $8

5 0
3 years ago
What is 0.45 as a fraction how do I show my work
g100num [7]
45/100 = 9/20

Work: divide by 5
7 0
3 years ago
Read 2 more answers
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