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nlexa [21]
3 years ago
15

Vince has a rectangle rug in his room with an area of 10 feet. The length of the rug is 18in longer than the width. What are the

dimensions of the rug?
Mathematics
2 answers:
german3 years ago
8 0

Answer:

120x138 in or 11.5x10 feet

Step-by-step explanation:

Step 1:

convert the feet to inches

10(feet)*12(inches)=120 inches

Step 2:

120(width)+18(length)=138 inches

Step 3:

width: 120 in OR 10 feet

length: 138 inches OR 11.5 feet (when divided by 12)

Hope this helps!

ra1l [238]3 years ago
4 0

Answer:

10 in. x 22.5 in.

Step-by-step explanation:

10+11.5=22.5

10 x 22.5

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Does anyone understand how to do this
Lerok [7]

Answer:

Step-by-step explanation:

I understand it!  (But I'm a high school math teacher so it might be unfair!) ; )

Anyway you have 2 numbers.  You don't know what they are so we will call them x and y.  Our first statement says that these numbers multiply to equal 120.  So that first equation is

xy = 120

Our second statement says that they add to -22.  So that second equation is

x + y = -22

Now we need to find the 2 numbers.  We have 2 unknowns, x and y.  That means that we have to have 2 equations.  No more than 2 no less than 2.  Solve the first equation for y.  It doesn't matter which equation you pick and which variable you choose to solve for.  If you do the work correctly, you will get the correct answers either way.  Solving the first equation for y gives you:

y=\frac{120}{x}

Now tht we have a value for y, we can use the substitution property of equality to sub that value into the second equation for y:

x+\frac{120}{x}=-22

Instead of finding a common denominator, we are going to eliminate x in the denominator altogether.  Do this by multiplying everything by x to get

x^2+120=-22x

Get everything on one side of the equals sign and factor:

x^2+22x+120=0

Because 12 * 10 = 120 and 12 + 10 = 22, our factors are 12 and 10:

x^2+12x+10x+120=0

Use factoring by grouping now.  

(x^2+12x)+(10x+120)=0

From the first set of parenthesis you can factor out an x, and from the second set you can factor out a 10:

x(x + 12) + 10(x + 12) = 0

Now factor out the common x + 12 to get a factored quadratic:

(x + 12)(x + 10) = 0

By the Zero Product Property, either x + 12 = 0 or x + 10 = 0.  Solving both for x gives you x = -12 or x = -10.

If x = -12, then

-12 + y = -22 so

y = -10

If x = -10, then

-10 + y = -22 so

y = -12.

The combinations of x and y are:

If x = -12, y = 10

If x = -10, y = -12

It doesn't matter which one is which.  They are not asking you to specifically define x and y.  They are asking you to find the numbers, and you did!

6 0
3 years ago
Which ordered pair is generated from the equation shown below?
Evgesh-ka [11]

Answer:

(3, 11)

Step-by-step explanation:

To check the ordered pair from given option .

lets plug in the value of x from the choices given .

If value of y is same a sin ordered pair then that pair is correct answer else it can be concluded that pair is not generated from equation given.

equation: y = 3x + 2

_____________________________________

A) (3, 11)

If we put value of X=3 in equation y = 3x + 2,

then y should be 11

y = 3x + 2

=> y = 3*3+2 = 9+2 = 11 . (This is as expected for ordered pair)

Hence this pair (3, 11) is generated from given equation.

_____________________________________

A) (3, 9)

If we put value of X=3 in equation y = 3x + 2,

then y should be 9

y = 3x + 2

=> y = 3*3+2 = 9+2 = 11 . (This is not as expected for ordered pair(3,9)

Hence this pair is not generated from given equation.

_____________________________________

A) (5, 15)

If we put value of X=5 in equation y = 3x + 2,

then y should be 15

y = 3x + 2

=> y = 3*5+2 = 15+2 = 17 . (This is not as expected for ordered pair(5,15)

Hence this pair is not generated from given equation.

_____________________________________

A) (2, 4)

If we put value of X=3 in equation y = 3x + 2,

then y should be 9

y = 3x + 2

=> y = 3*2+2 = 6+2 = 8. (This is not as expected for ordered pair(2, 4)

Hence this pair is not generated from given equation.

_________________________________________________

Thus, only A) (3, 11) is generated from the equation y = 3x + 2

3 0
3 years ago
There are 20 parrots at the animal sanctuary. Their population is increasing at a rate of 15% per year. There are also 24 snakes
worty [1.4K]
For the answer to the questions above,
A) Parrots are following a Geometric Progression of 15% increase.

20(1.15),  20(1.15)², 20(1.15)³,

Function  = 20(1.15)^n      Where n is at the end of year, n =1, 2, 3, ..

Snakes are increasing by 4.

28, 32, 36,....

Function =  24 + 4n          n = number of end year,      n =1, 2, 3,...

<span>B) After 10 years:              </span>
Parrot =  20(1.15)¹⁰    = 80.91115471

Snakes =  24 + 4(10) = 64

<span>C) After what time they are the same: </span>
We use trial and error:


Test:  n                             20(1.15^n)                        (24 + 4n)
          1                                    23                                   28
          2                                    26.45                              32
<span>          3                                    30.41                             36    </span>
          4                                    34.98                              40
          5                                    40.23                              44
          6                                    46.26                              48
          7                                    53.20                              52
          8                                    61.18                              56
          9                                    70.36                              60

After year 7, the Parrots increases far more.
<span>At year 7 they are roughly the same.</span>
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