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Nikitich [7]
3 years ago
5

X+x+y+y+z+z=24

Mathematics
1 answer:
JulijaS [17]3 years ago
3 0

Answer:

b = 7/2

x = 11/2

y = 21/2

z = -4

Step-by-step explanation:

2x + 2y + 2z = 24

x + y + z = 12

b + 2x + y + z = 21

2b + 2y = 28

b + y = 14

3x + y + z = 23

we can start anywhere by transforming these equations in a way that always one variable is excised by others.

so, e.g.

b = 14 - y

14 - y + 2x + y + z = 21

2x + z = 7

z = 7 - 2x

3x + y + 7 - 2x = 23

x + y = 16

16 + z = 12

z = -4

-4 = 7 - 2x

-11 = -2x

11 = 2x

x = 11/2

11/2 + y = 16

y = 16 - 11/2 = 32/2 - 11/2 = 21/2

b = 14 - 21/2 = 28/2 - 21/2 = 7/2

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Your patio is 12 feet by 15 feet. After remodeling, the new dimensions are 18 feet by 22 feet. By how many square feet have you
Mashutka [201]
<h3>Answer:  216 square feet</h3>

Work Shown:

Old area = 12*15 = 180 square feet

New area = 18*22 = 396 square feet

Difference = New - Old = 396 - 180 = 216

The patio's area increased by 216 square feet.

8 0
2 years ago
Which proportion could be used to determine if the figures could represent a dilation?
nikdorinn [45]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
Please help will give brainleist
padilas [110]

Answer:

Y= -1/3x +2.5

step-by-step explanation:

first I reconfigured the given equation: x+3y=15

-x+x+3y=15 -x  Subtracted x from both sides

3y=15-x            Simplify

3y/3=15-x/3      Divide both sides by 3

y=-1/3x+3          Simplify

I turned it into y=-1/3x+5

then I translated the line up and down to find what point crossed (6,1)

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5 0
3 years ago
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victus00 [196]

Answer:

73.12 cm

Step-by-step explanation:

The perimeter of the square is 3 sides of the square (the 4th side is not included because of the semicircle)

P square = 3 s

               =3 (16)

                =48 cm

The perimeter of the semicircle is 1/2 of the circumference of a circle

P semicircle = 1/2 (pi *d)

                     =1/2 (pi* 16)

                     = 8 pi

                     = 8 (3.14)

                      =25.12 cm

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8 0
4 years ago
For each problem, explain or show your reasoning, a. 160 is what percentage of 40? b. 40 is 160% of what number? c. What number
grigory [225]

Answer:

A. 160 Out of 40 is 400%./// B. The answer is 25/// C.  The answer is 3905%

Step-by-step explanation:

( A )  One step solution:

You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.

So, 160 is 40% of =  <u>160 X 100   </u>   = 400

                                        40

                                             

( B ) The same thing as A but the numbers are switched

       One step solution:

You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.

So, 40 is 160% of = <u>40 × 100</u>      = 25

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1602 - 40 = 1562

Once we've done that we need to divide the result, 1562, by the original number, 40. We do this because we need to compare the difference between the new number and the original:

<u>1562  </u>    = 39.05          

40

We now have our answer in decimal format. How do we get this into percentage format? Multiply 39.05 by 100?

39.05 x 100 = 3905%

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