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Nana76 [90]
3 years ago
8

Solve 6x-54=6(x-9) show work please

Mathematics
1 answer:
Stolb23 [73]3 years ago
5 0

Answer:infinite

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6x−54=6(x−9)

6x+−54=(6)(x)+(6)(−9)(Distribute)

6x+−54=6x+−54

6x−54=6x−54

Step 2: Subtract 6x from both sides.

6x−54−6x=6x−54−6x

−54=−54

Step 3: Add 54 to both sides.

−54+54=−54+54

0=0

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A midsegment of a triangle measures 14.7 feet. What is the length of the corresponding base of the triangle?
kaheart [24]

The correct answer is:  [A]:  " 29.4 ft. "

___________________________________________________

Explanation:

___________________________________________________

Solve for "b" ; which is the "base" .

14.7 ft. = (1/2) * b ;

→  (1/2) * b = 14.7 ft ;

Multiply EACH SIDE of the equation by "2" ;

    to isolate "b" on one side of the equation;  & to solve for "b" ;

___________________________________________________

2 * { (1/2) b } = 2 * (14.7 ft) ;

to get:

b = 29.4 ft . ;

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          →  which is:  Answer choice:  [A]:  " 29.4 ft. "

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7 0
3 years ago
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marin [14]
The answer is D, hope this helps
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Akira is a salon owner. Yesterday, she did 2 haircuts and colored the hair of 1 client, charging a total of $194. Today, she did
joja [24]

Answer:

\boxed {\boxed {\sf Haircut: \$47 \ and \  Color: \$ 100}}

Step-by-step explanation:

Let's set up a system of equations. (1 equation for yesterday and 1 for today).

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2h+1c= 194  (Yesterday: 2 haircuts and 1 color for $194).

2h+4c= 494 (Today: 2 haircuts and 4 colors for $494).

Notice that both equations have a 2h. If we subtract the two equations, the 2h will cancel and leave us with one variable, c.

\ \ (2h+1c=194) \\-  (2h+4c=494)

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-3c= -300

Since we are solving for c, we must isolate the variable. It is being multiplied by -3. The inverse of multiplication is division. Divide both sides by -3.

-3c/-3=-300/-3 \\c= -300/-3 \\c=100

Now we have to solve for h. Plug 100 in for c in the first equation.

2h+1(100)= 194 \\2h+100=194

100 is being added, so we must subtract 100 from both sides.

2h+100=194-100 \\2h=94

h is being multiplied by 2, so we divide both sides by 2.

2h/2=94 \\h=47

A haircut costs $47 and a color costs $100.

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3 years ago
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olganol [36]

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120 x 53 and then you divide the answer with 360 and then multiply 6 x2 and then add it and you get the answer

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( 'x' is not 144 .)
 
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Add 3x to each side:

540 = 5x

Divide each side by 5 :

<u>x = 108°</u> .
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