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Elena-2011 [213]
3 years ago
5

Please answer this question full

Mathematics
1 answer:
ira [324]3 years ago
7 0
(5x-2) + (2x+6) = 67, so we simplify and solve for x:
7x + 4 = 67 --> 7x = 63 --> x = 9

Now we substitute 9 for x in (5x-2):
5(9) - 2 --> 45 - 2 = 43

The distance between A and B is 43 miles.
Hope this Helps!
Brainliest Please!
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Solve the system of equations 5x+9y+9z=5 4x+9y+6z=10 2x+2y+5z=9
erma4kov [3.2K]

Answer:

{x,y,z} = {-116,28,37}

Step-by-step explanation:

// Solve equation [3] for the variable  z  

 

 [3]    5z = -2x - 2y + 9

 [3]    z = -2x/5 - 2y/5 + 9/5

__________________________________________________________

// Plug this in for variable  z  in equation [1]

  [1]    5x + 9y + 9•(-2x/5-2y/5+9/5) = 5

  [1]    7x/5 + 27y/5 = -56/5

  [1]    7x + 27y = -56

__________________________________________________________

// Plug this in for variable  z  in equation [2]

  [2]    4x + 9y + 6•(-2x/5-2y/5+9/5) = 10

  [2]    8x/5 + 33y/5 = -4/5

  [2]    8x + 33y = -4

__________________________________________________________

// Solve equation [2] for the variable  y  

 

 [2]    33y = -8x - 4

 [2]    y = -8x/33 - 4/33

__________________________________________________________

// Plug this in for variable  y  in equation [1]

  [1]    7x + 27•(-8x/33-4/33) = -56

  [1]    5x/11 = -580/11

  [1]    5x = -580

__________________________________________________________

// Solve equation [1] for the variable  x  

  [1]    5x = - 580  

  [1]    x = - 116

__________________________________________________________

// By now we know this much :

   x = -116

   y = -8x/33-4/33

   z = -2x/5-2y/5+9/5

__________________________________________________________

// Use the  x  value to solve for  y  

   y = -(8/33)(-116)-4/33 = 28

__________________________________________________________  

// Use the  x  and  y  values to solve for  z  

 z = -(2/5)(-116)-(2/5)(28)+9/5 = 37

╦────────────────────────────╦

│Hope this helped  _____________________│    

│~Derelis ____________________________ │

╨___________________________________╨                  

4 0
3 years ago
What is the answer to ax-8b=c
HACTEHA [7]
Donut star bucks and donald duck
8 0
3 years ago
Serena is building a bookcase she cuts two pieces of wood from one board one piece is 1 7/8 feey long and another is 3.5 ft long
Vladimir79 [104]

Answer:

\frac{43}{8}  feet

Step-by-step explanation:

The total change is the sum of the length of two boards she cut.

First board length is 1  7/8th feet. Let's change to improper fraction:

1 7/8 = 15/8 feet

Second board lengrh is 3.5 feet, or 3  1/2 feet. Let's change to improper fraction:

3  1/2 = 7/2 feet

Let's add the two:

\frac{15}{8}+\frac{7}{2}\\=\frac{15+28}{8}\\=\frac{43}{8}

The change in original board is 43/8 feet

3 0
3 years ago
A square has side length of 9 in. If the area is doubled, what happens to the side length?
Alika [10]

Answer:

The side length is multiplied by \sqrt{2}

Step-by-step explanation:

we know that

The area of the original square is equal to

A=9^{2}=81\ in^{2}

If the area is doubled

then

The area of the larger square is

A1=(2)81=162\ in^{2}

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

Let

z ----> the scale factor

x ----> the area of the larger square

y ---> the area of the original square

so

z^{2}=\frac{x}{y}

we have

x=162\ in\^{2}

y=81\ in\^{2}

z^{2}=\frac{162}{81}

z^{2}=2

z=\sqrt{2} ------> scale factor

therefore

The side length is multiplied by \sqrt{2}

7 0
3 years ago
Will give brainliest! Ignore the other question on the top but can u ansawer all of them, il know if your putting random letters
Zina [86]

Answer:

6: S

7: C

8: C

9: C

10: N

11: C

12: S

13: S

14: N

15: C

Step-by-step explanation:

Complementary angles add to 90 degrees.

Suplementary angles add to 180 degrees.

6 0
3 years ago
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