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Irina18 [472]
3 years ago
10

How many solutions does 3(x + 5) – 3 = 2(3x + 1) – 3x have? Show your work.

Mathematics
1 answer:
ivanzaharov [21]3 years ago
4 0

Answer: There are no solution

Step 1: Simplify both sides of the equation.

3(x+5)−3=2(3x+1)−3x

(3)(x)+(3)(5)+−3=(2)(3x)+(2)(1)+−3x(Distribute)

3x+15+−3=6x+2+−3x

(3x)+(15+−3)=(6x+−3x)+(2)(Combine Like Terms)

3x+12=3x+2

3x+12=3x+2

Step 2: Subtract 3x from both sides.

3x+12−3x=3x+2−3x

12=2

Step 3: Subtract 12 from both sides.

12−12=2−12

0=−10

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Twice the difference of a number and 8 equals 2
bixtya [17]

Answer:

x=16

Step-by-step explanation:

2(x/8)=2

2x / 16=2

   x 16 x 16

2x=32

2x/2= 32/2

x= 16    

6 0
3 years ago
Two numbers have a GCF of 6 one is 24 the other number is less than 30 what could the other number be ?
Oksana_A [137]

The other number could be 6. The GCF of 6 and 24 is 6, and 6 is less than 30.

6 0
3 years ago
Plz answer it fast...
Sveta_85 [38]

Answer:

Rs 2163.20.

Step-by-step explanation:

The formula for this is

A = P(1 + r)^t     where P is the amount invested, r = the rate (as a decimal) and t = the number of years.

So for rs 2000 we have:

A = 2000(1 + 0.04)^2 = Rs 2163.20

4 0
4 years ago
Determine whether ∆DEF=∆JKL, given that D(2,0), E(5,0), F(5,5), J(3,-7), K(6,-7), and L(6,-2)
raketka [301]

Answer:

Yes , triangle DEF is congruent to JKL

Step-by-step explanation:

Given:

The coordinates of triangle DEF are;

D (2, 0)

E(5. 0)

F(5, 5)

and

the coordinates of triangle JKL are:

J(3, -7)

K(6, -7)

L (6, -2)

The rule of translation is used on triangle DEF to get triangle JKL:

(x , y) \rightarrow (x+1 , y-7)

i.e

D (2, 0) \rightarrow (2+1 , 0-7) = (3, -7) =  J

E (5, 0) \rightarrow (5+1 , 0-7) = (6, -7) =  K

F (5, 5) \rightarrow (5+1 , 5-7) = (6, -2) = L

As, we know that two triangles are known as congruent if there is an isometry mapping one of the triangles to the other.

therefore, triangle DEF congruent  to triangle JKL



8 0
3 years ago
A line goes through the points (4, 8) and (-4, 6). • What is the slope of the line? Show your work Write the equation of the lin
erica [24]

Answer:

1/4

Step-by-step explanation:

4 0
1 year ago
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