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Andrews [41]
3 years ago
8

A realtor is decorating some homes for sale, putting a certain number of decorative pillows on each twin bed and a certain numbe

r on
each queen bed. In one house, she decorated 1 twin bed and 2 queen beds and used a total of 27 pillows. At another house, she used
37 pillows to spruce up 3 twin beds and 2 queen beds. How many decorative pillows did the realtor arrange on each bed?
Mathematics
1 answer:
pogonyaev3 years ago
7 0

Answer:

Each of the twin beds: 5 decorative pillows

Each of the queen beds: 11 decorative pillows

Step-by-step explanation:

Let the number of pillows used for each twin bed be x

Let the number of pillows used for each queen bed be y

she decorated 1 twin bed and 2 queen beds and used a total of 27 pillows. Thus;

x + 2y = 27 - - - (eq 1)

Also, she used

37 pillows to spruce up 3 twin beds and 2 queen beds. Thus;

3x + 2y = 37 - - - (eq 2)

From eq 1, x = 27 - 2y

Thus;

3(27 - 2y) + 2y = 37

81 - 6y + 2y = 37

81 - 4y = 37

4y = 81 - 37

4y = 44

y = 44/4

y = 11

x = 27 - 2(11)

x = 27 - 22

x = 5

Thus, she used 5 decorative pillows for each of the twin beds and 11 decorative pillows for each of the queen bed

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A drawing is 12 inches wide and 10 inches long. Joe wants to enlarge each side by a scale factor of 0.3. What will be the area o
Andreyy89

Answer:

Area of the dilation = 10.8 square inches

Step-by-step explanation:

Given the original dimension

Length = 12inches

Width = 10inches

If they are dilated by a factor of 0.3

New length = 0.3 * 12 = 3.6in

New width = 0.3 * 10 = 3in

Area of the dilation = 3.6 * 3

Area of the dilation = 10.8 square inches

3 0
2 years ago
How do you solve this in standard form. y=7x-4
attashe74 [19]
Y = 2/7x - 4
y + 4 = 2/7x
4 = 2/7x - y (multiply everything by seven to get rid of the fraction)
28 = 2x - 7y
2x - 7y = 28
8 0
3 years ago
What is the mean absolute deviation of the following data set
tatuchka [14]

Answer:

4.32

Step-by-step explanation:

First, we have to find the mean of the data set.

16, 11, 9, 12, 11, 10, 10, 8, 15, 0, 2, 15, 14, 7, 11, 5, 14, 20, 3, 11, 13, 7, 0, 5, 21 all added together equals 250. 250 divided by 25 = 10. So 10 is the mean.

Now we have to find the absolute distances of each number from the mean.

16 - 10 = 6... 11 - 10 = 1... so on, giving us this -->

6, 1, 1, 2, 1, 0, 0, 2, 5, 10, 8, 5, 4, 3, 1, 5, 4, 10, 7, 1, 3, 3, 10, 5, 11

Finally, we have to find the mean of the distances (which is done by adding all the numbers above and dividing the sum by the number of values there are).

108 divided by 25 = 4.32.

So, 4.32 is the mean absolute deviation (MAD) of the following data set.

4 0
2 years ago
-3x - 3y = 3 <br> y= -5x - 17
Kruka [31]

you first plug (substitute) in y

-3x - 3(-5x-17)=3

then distribute

-3x+15x+51=3

now combine like terms

12x+51=3

subtract to get 12x by itself

12x=3-51 or 12x=-48

lastly divide by 12 to find x

12x/12=-48/12

x=-4

now find y by plugging x into the other equation

y=-5(-4)-17

y=3

(-4,3)

4 0
3 years ago
Find the value of the constant k that makes the function continuous. ​g(x)equals=startset start 2 by 2 matrix 1st row 1st column
tiny-mole [99]
You seem to have
.. g(x) = {(2x^2 -4x -16)/(x -4) . . . x ≠ 4
.. .. .. .. ..{ kx -16 . . . . . . . . . . . . . . x=4

The first expression can be simplified to
.. (2x^2 -4x -16)/(x -4) = 2(x +2)(x -4)/(x -4) = 2(x +2) . . . . x ≠ 4
At x=4, this simplified version has the value
.. 2(4 +2) = 12

To make the alternate definition of g(x) have that same value at x=4, we must have
.. k*4 -16 = 12
.. 4k = 28
,, k = 7

The constant k must be 7 for the function to be continuous at x=4.
7 0
2 years ago
Read 2 more answers
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