Fill in the missing work and justification for step 2 when solving 3(x + 2) = 12.


Step Work Justification
1 3(x + 2) = 12 Given
2
3 3x + 6 − 6 = 12 − 6 Subtraction Property of Equality
4 3x = 6 Simplify
5 Three times x over three equals six over three Division Property of Equality
6 x = 2 Simplify


3x + 6 = 12; Distributive Property
3x + 2 = 12; Distributive Property
3x + 6 = 12; Multiplication Property of Equality
3x + 2 = 12; Multiplication Property of Equality

Answer:

7 quaters and 19 dimes

Step-by-step explanation:

Let say x the numbers of quaters,

2*x+5 the numbers of dimes

In cents,: 25*x+10*(2x+5)=365

25x+20x+50=365

45x=365-50

45x=315

x=7

Number of quaters: 7

Number of dimes: 2*7+5=19

Proof:

7*25+10*19=365

[tex]\text{Suppose the width of the rectangle is }x\text{ cm}[/tex]

[tex]\text{then the perimeter can be expressed as}[/tex]

[tex]2(24+x)=72[/tex]

[tex]24+x=36[/tex]

[tex]x=12[/tex]

[tex]\text{Therefore the area of the rectangle is }24\cdot x=24\cdot 12=288\text{ cm}{}^2[/tex]

Answer: Solution,

length (l) = 24 cm

perimeter (p)= 74 cm

Area (A) = ?

we know,

P = 2(l + b )

74 = 2( 24 + b)

74 = 48 + 2b

2b = 74 - 48

2b = 26

b= [tex]\frac{26}{2}[/tex]

b = 13

now,

A = l*b

   = 24 * 13

   = 312 cm square

Therefore, the area of the rectangle is 312 cm square.

Answer:

Step-by-step explanation:

The balls - multiples of 3 are:

The probability of a multiple of 3 is:

30% probability is in the range 0%-50% so this event is unlikely

Total multiples=3

[tex]\\ \sf\longmapsto P(3)=\dfrac{Multiples\:of\:3}{Total \:balls}[/tex]

[tex]\\ \sf\longmapsto P(3)=\dfrac{3}{10}[/tex]

[tex]\\ \sf\longmapsto P(3)=30\%[/tex]

So it is unlikely to happen.

Answer:

NO

Step-by-step explanation:

We need more than two operations to solve a linear equation . If an equation contains fractions, multiply both sides of the equation by the least common denominator (LCD) to clear fractions.

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

4x + y = 1 ( subtract 4x from both sides )

y = - 4x + 1 ← in slope- intercept form

with slope m = - 4 and y- intercept c = 1

Answer:

add all the rest of the angles, and then subtract the sum from 1080, and that's your ans mate

Answer:

147

Step-by-step explanation:

If you add up all the angles you have, you get 933. Since an octagon has 1080 degree angles the last angle must be added to 933 to make it equal to 1080. If you subtract 933 from 1080, you get the remaining angle 147.

Answer:

110

Step-by-step explanation:

[17 - 7] × 6 + 2 + 56 - 8

10 × 6 + 2 + 56 - 8

60 + 2 + 56 - 8

62 + 56 - 8

118 - 8

110

Answer:

110

Step-by-step explanation:

[17 - 7] × 6 + 2 + 56 - 8

(10) x 6 + 2 + 56 - 8

60 + 2 + 48

62 + 48

110

Answer:

13. Bestie literally 9+4

Answer:When solving a question like "What number is 4 less than 9?", take a close look at what it is really asking.

You have the number 9 and you are looking for a number that is 4 less than 9. In other words, if you have 9 and take away 4, then how many do you have?

You guessed it! This is a subtraction problem. 9 is the minuend and 4 is subtrahend and the answer we are looking for is the difference.

Therefore, to solve "What number is 4 less than 9?", you subtract 4 from 9 like so:

9 - 4 = 5

Step-by-step explanation:

Answer:

Explore - ??? (What are you suppose to put for that (Add comment))

Plan - First week - 53 Second week - 62

Solve - 53 + 62 = 115

Examine - (Use a graph to see the rise?)

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) Number = x

Multiply it by 3 = 3*x = 3x

Now add 4 to it: 3x + 4

Equation:  

3x +4 = 22

b)

3x + 4 = 22

Subtract 4 from both sides

3x + 4 -4 = 22 - 4

        3x = 18

Divide both sides by 3

3x/3 = 18/3

x = 6

Answer:

Below in bold.

Step-by-step explanation:

The equation is

3x + 4 = 22

3x = 22 - 4 = 18

x = 18/3

x = 6.

How to solve -7+7s-3s-5-6-5s

→ -7+7s-3s-5-6-5s

→ -7 -5 -6 + 7s-3s-5s

→ -18 - 1s

The answer is -18-1s

Answer:

im sorry about that bro

Step-by-step explanation:

im not smart as well

Answer:

well for Evey 4 completed throws she takes 7 throws

with this ratio we get that;

it's 4:7

there fore

for 12 completed free throws she would take 21 free throws

option c is the answer

hope it's helpful

Answer:

21

Step-by-step explanation:

FreeThrows: FT

Attempted Throws: AT

FT/AT=4/7

12/AT=4/7

84/4=AT

AT=21

Answer:  B

Step-by-step explanation:

P=R-$10MM

P = ($25MM)-$10MM

P = $15MM

Answer:x=11

65.25x + 1063.50= 1781.25

To solve this equation, subtract the rental cost of the bus to get $717.75.

Now the equation should be 65.25x= 717.75

Divide both sides by 65.25, and you should get that x = 11. That’s your finally answer!

Step-by-step explanation:

Answer:

D. 2¹⁵/4¹⁰

Step-by-step explanation:

(2³/4²)⁵ = 1/64

A. 2⁸/4⁷ = 1/128

B. 2⁵/4⁴ = 1/16

C. 2⁶/4⁶= 1/128

D. 2¹⁵/4¹⁰= 1/64

SO (2³/4²)⁵ = 2¹⁵/4¹⁰

Answer:

number is 3

Step-by-step explanation:

let the number be n then the product of 3 and the number is 3n , so

16 = 7 + 3n ( subtract 7 from both sides )

9 = 3n ( divide both sides by 3 )

3 = n

That is the number is 3

Answer:

he have to travel 12 cm/km

Step-by-step explanation:

lets find x by transposing

3x = 2x + 2        (as M is the midpoint)

3x - 2x = 2

x = 2

now put 2 instead of x

3x + 2x +2 =  (distance from friends home to house)

3 (2) + 2 (2) +2

6 + 4 + 2

10 + 2

= 12

Answer:

rational as it can be in form b/q

Answer:

∠DAB = 68

Step-by-step explanation:

∠DAB we need to find this

∠DAB = ∠C (vertically opposite angles are equal)

∠DAB = 68

Step-by-step explanation:

21.

1, 2, 4, 8, 16, 31, ... , ....

by using the formula, we can find :

T7 = [7⁴ - 6(7)³ +23(7)² - 18(7) +24] / 24 =

(2401 - 2058 + 1127 - 126 +24) / 24 =

1368/ 24 = 57

T8 = [8⁴-6(8)³+23(8)²-18(8)+24]/24 =

(4096-3072+1472-144+24)/24 =

2376/ 24 = 99

[tex]5x-4=4x\\\\5x-4x=4\\\\\huge\boxed{x=4}[/tex]

Answer:

4=x

Step-by-step explanation:

5x-4=4x

-4=-x

4=x

Answer:

The first option, as x approaches infinity, y approaches infinity and as  x approaches negative infinity, y approaches negative infinity

Step-by-step explanation:

Answer:

you gonna draw a bar graph were on your x-axis you label the shoe sizes then on the y-axis you label the height . on the height number to avoid big numbers wen plotting your graph find the highest number of the height and divide it by 2

Answer:

600400

Step-by-step explanation:

We know that, Two angles are said to be complementary, if the sum of their measures is 90°.

According to the Question,

⇒ ∠ABD + ∠DBC = 90°

⇒ (2x + 30)° + (3x + 20)° = 90°

⇒ 2x + 30° + 3x + 20° = 90°

⇒ 5x + 50° = 90°

⇒ 5x = 90° - 50°

⇒ 5x = 40°

⇒ x = 40°/5

⇒ x = 8

So, the measure of each angle will be,

⇒ ∠ABD = (2x + 30)°

= 2 × 8 + 30°

= 16 + 30°

= 46°

⇒ ∠DBC = (3x + 20)°

= 3 × 8 + 30°

= 24 + 30°

Answer:

Step-by-step explanation:

The minute hand hits the 0 minute once each hour. This results each hour to become 61 minutes.

Number of hours from Monday 00:01 to Friday 07:30 is 4*24 + 7.5 = 103.5

Extra time considering defective clock (full hours):

Alarm to be set at:

The answer is:

Answer:

Step-by-step explanation:

The expanded form of 79 is 70+ 9. To apply the distributive property you rewrite the problem 3(70 + 9) which is the same as (3x70) + (3x9). Next do the multiplication 3x70= 210 + 3x9= 27

Next add the sums: 210 + 27 = 237.