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White raven [17]
3 years ago
7

5(x - 12) + 6 = 3(2x - 7)​

Mathematics
2 answers:
LuckyWell [14K]3 years ago
7 0

Step-by-step explanation:

First, distribute the outside numbers into the parentheses:

5*x+5*-12+6=3*2x+3*-7

5x-60+6=6x-21

Combine like terms

5x-54=6x-21

Add 21 to both sides

5x-33=6x

Subtract 5x from both sides

you wind up getting x=-33

x=-33

you can check to make sure that's the correct answer but simply plugging in -33 for x and checking to make sure both sides of the equation are equal:

-33-12=-45*5=-225+6=-219

-33*2=-66-7=-73*3=-219

So, yes, x equals -33

Akimi4 [234]3 years ago
3 0
You distribute the 5 and times it by x and -12 then the problem would look like this

5x-60+6=3(2x-7)


next you distribute the 3 and times it with 2x and -7 then the problem would look like this

5x-60+6=6x-21


then you solve by combining like terms on the left so you minus 6 from 60 and get 54 so now you have


5x-54=6x-21


now you add 54 to -21 but since it’s a negative you will subtract and take the larger numbers side which will be 33

now you have a problem that looks like this

5x=6x+33

so now you subtract 6x with 5x and get 1x

so the problem will look like this

1x= 33

then you divide 1x on both sides and the answer is

x = 33
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A bag contains 10 blue marbles, 7 white marbles, 6 red marbles, and 2 Green marbles. what is the probability of randomly selecti
Delvig [45]

Answer:

Step-by-step explanation:

Number of blue marbles = 10

Number of white marbles = 7

Number of Red marbles = 6

Number of Green marbles = 2

Total marbles = 10 + 7 + 6 + 2 = 25

Probability of selecting the blue marble = 10/25 = 2/5

6 0
3 years ago
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Akimi4 [234]
For b on the first paper you will start with the distribution property and multiply both x and 2 by 3 because they are in the ()
now you have 3x+ 6=x-18
from here you can subtract x from both sides
2x+6=-18
next subtract 6 from both sides
2x=-24
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8 0
3 years ago
The area of the triangle formed by x− and y− intercepts of the parabola y=0.5(x−3)(x+k) is equal to 1.5 square units. Find all p
jeka57 [31]

Answer:

K = -1 or -2

Step-by-step explanation:

Given the equation of parabola is, y = 0.5(x-3)(x+k).

Finding y-intercept, put x=0 and solve for y :-

y = 0.5(0-3)(0+k)

y = 0.5(-3)(k)

y = -1.5k

Finding x-intercepts, put y=0 and solve for x :-

0 = 0.5(x-3)(x+k)

(x-3)(x+k) = 0

x = 3 OR x = -k

So, the coordinates of triangle ABC are:-

A(0, -1.5k), B(3, 0), and C(-k, 0)

Assuming origin O(0,0), find the area of triangle ABC:-

Area = (1/2) * BC * OA

Area = (1/2) * (k+3) * (1.5k)

But given the area is 1.5 square units.

So, (1/2) * (-k-3) * (1.5k) = 1.5

(1/2) * (-k-3) * (k) = 1

k(-k-3) = 2

-k² -3k -2 = 0

k² +3k +2 = 0

k² +2k +k +2 = 0

(k+2)(k+1) = 0

So, k = -1 or k = -2

7 0
3 years ago
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vivado [14]

Answer:

Step-by-step explanation:

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4 years ago
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