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Bess [88]
3 years ago
6

Which value of x makes the following equation true?

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
8 0
3x-6=-3x+30
3x+3x=30+6
6x=36
x=6
Eddi Din [679]3 years ago
3 0
3(x-2)= -3 x+30\\
3x-6=-3x+30\\
6x=36\\
x=6
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Find the coordinates for the midpoint of the segment with endpoints give (3,5) and (-2,0)
Leto [7]

Answer:

The coordinates of the mid-point are :

(\frac{1}{2}, \frac{5}{2})

Step-by-step explanation:

We know that, the coordinates of the mid-point (<em>x</em>, <em>y</em>) of a line segment joining the points (<em>x</em>₁, <em>y</em>₁) and (<em>x</em>₂, <em>y</em>₂) is given by

(x, y) = (\frac{x_{1} +x_{2} }{2},\frac{y_{1}+y_{2} }{2} )

Now, we have the given points as (3, 5) and (-2, 0).

By using the above formula, coordinates of the mid-point (<em>x</em>, <em>y</em>) of the line-segment joining the points (3, 5) and (-2, 0) is given by,

x = \frac{3+(-2)}{2} = \frac{3-2}{2} = \frac{1}{2}

y = \frac{5+0}{2} = \frac{5}{2}

∴ coordinates of the mid-point of the line-segment joining the points (3,5) and (-2,0) is (\frac{1}{2}, \frac{5}{2}).

8 0
3 years ago
A clothing store has a going-out-of business sale. They are selling pants for $8.99 and shirts for $3.99. You can spend as much
astraxan [27]

Answer:

Let x represents the number of pants and y represents the number of shirts.

As per the statement:

Since, a clothing store are selling pants for $8.99 and shirts for $3.99

then;

total number of Pants cost is, $8.99x and total number of Shirt cost is, $3.99

Also, it is given that: You can spend as much as $60 and want to buy at least two pairs of pants.

then, we have the equation of inequality;

8.99x + 3.99y \leq 60 ;......[1]         where x, y are natural number.

x-intercept:

Substitute the value y= 0  in [1] and solve for x;

8.99x + 3.99(0) \leq 60

8.99x \leq 60

Simplify:

x \leq 6.667

Since, x is in natural number;

x \leq 7

Similarly.

For y-intercept:

Substitute the value x= 0  in [1] and solve for x;

8.99(0) + 3.99y \leq 60

3.99y \leq 60

Simplify:

y \leq 15.037

y \leq 15

Therefore, we have

8.99x + 3.99y \leq 60 ;

2\leq x\leq 7 and  0\leq y\leq 15

8 0
3 years ago
How do i write this ?
Makovka662 [10]

Answer:

1\frac{5}{9\\}

Step-by-step explanation:

When turning remainders into mixed numbers remember Place the remainder as the numerator, or the top number, in your fraction. Put the divisor on the bottom of the fraction, or the denominator.

Proceed to check your work :)

hope this helps

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%2064" id="TexFormula1" title=" {x}^{2} - 64" alt=" {x}^{2} - 64"
PilotLPTM [1.2K]

(x-8) (x+8) is the answer

8 0
3 years ago
Read 2 more answers
Add: 415+215<br><br> 815<br><br> 25<br><br> 415<br><br> 15
elena-s [515]
None of those are correct 630
3 0
2 years ago
Read 2 more answers
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