All categories

3 years ago

FOR 100 POINTS!!!!!!!!!!!Solve the equation. 3(4x + 4) = 2(5x + 9) - 12

Mathematics

2 answers:

Tatiana [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Isolate x on one side of the equation.

DISTRIBUTIVE PROPERTY

A(B+C)=AB+AC

A(B-C)=AB-AC

3(4x+4) (First, expand.)

3*4x=12x

3*4=12

12x+12

2(5x+9)-12

2*5x=10x

2*9=18

10x+18

18-12=6

12x+12=10x+6

12x+12-12=10x+6-12 (Subtract 12 from both sides.)

6-12 (Solve.)

12-6=6

12x=10x-6

12x-10x=10x-6-10x (Subtract 10x from both sides.)

12x-10x (Solve.)

12x-10x=2x

2x=-6

2x/2=-6/2 (Then, divide by 2 from both sides.)

-6/2 (Solve.)

-6/2=-3

x=-3

As a result, the final answer is x=-3.

Pepsi [2]3 years ago

6 0

Answer:

x = -3

Step-by-step explanation:

Step 1: Distribute

3(4x + 4) = 2(5x + 9) - 12

(3 * 4x) + (3 * 4) = (2 * 5x) + (2 * 9) - 12

12x + 12 = 10x + 18 - 12

Step 2: Combine like terms

12x + 12 = 10x + 6

Step 3: Subtract 10x from both sides

12x + 12 - 10x = 10x + 6 - 10x

2x + 12 = 6

Step 4: Subtract 12 from both sides

2x + 12 - 12 = 6 - 12

2x = -6

Step 5: Divide both sides by 2

2x / 2 = -6 / 2

x = -3

Answer: x = -3

You might be interested in

One package of tile will cover 3 square feet.How many packages will shee need 8,13,15,39

IrinaVladis [17]

Hey there! :)

Answer:

13 packages.

Step-by-step explanation:

Begin by finding the total area of this composite figure. Separate the figure into separate rectangles. Use the formula A = l × w to calculate the area of each:

Smaller rectangle:

Subtract 7 from 9 to find the width:

9 -7 = 2. Therefore:

2 × 2 = 4 ft².

Larger rectangle:

7 × 5 = 35 ft².

Add up the two areas to find the area of the entire figure:

4 + 35 = 39 ft².

If each package of tile covers 3 ft², simply divide to find the package of tiles needed:

39 / 3 = 13 packages.

4 0

3 years ago

Seven pieces of rope have an average (arithmetic mean) length of 68 centimeters and a median length of 84 centimeters. If the le

Svet_ta [14]

Answer:

The maximum possible length, in centimeters, of the longest piece of rope is 134 cm

Step-by-step explanation:

Let the seven pieces be a,b,c,d,e,f,g

Average of 7 pieces of ropes =68

$Average = \frac{\text{Sum of all lengths}}{\text{No. of pieces}}$

$68= \frac{\text{Sum of all lengths}}{7}$

$68 \times 7 =\text{a+b+c+d+e+f+g}$

$476=\text{a+b+c+d+e+f+g}$ --A

We are given that the median length of a piece of rope is 84 centimeters.

We arrange the pieces in the ascending order

So, median will be the length of 4th piece

So, d = 84 cm

the length of piece a,b,c will be less than 84 and the value of e,f,g must be greater than or equal to 84

Let us suppose the length of a,b,c be x

Let us suppose the length of e,f be 84

The length of the longest piece of rope is 14 centimeters more than 4 times the length of the shortest piece of rope

So, g = 4x+14

Substitute the value in A

$476=x+x+x+84+84+84+4x+14$

$476=7x+266$

$\frac{476-266}{7}=x$

$30=x$

g = 4x+14=4(30)+14=134

Hence the maximum possible length, in centimeters, of the longest piece of rope is 134 cm

7 0

2 years ago

What is the equation of line l?

inessss [21]

Y=-3/2L -2. At the Y axis, line L is at -2, so we add that as B or the Y intercept. We can see that the graph goes 2 over to the right and down three, which makes the slope negative and 3/2 (rise/run)

5 0

3 years ago

In the diagram, lines and intersect at E. If m∠AED = 3x + 11 and m∠CEB = 125, find x. A. 19 B. 38 C. 42 D. 55

Lady_Fox [76]

3X+11=125

3X=125-11

3X=114

X=114/3

X=38

So the answeris B 38

7 0

3 years ago

Joseph and Hanna are 250 feet apart when they start walking toward one another. They are walking at the same speed, so whenever

Evgen [1.6K]

I dont know the answer

4 0

3 years ago