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alisha [4.7K]
3 years ago
12

Ahmed wrote an expression as 12x + 24, find all the equivalent expressions using the distributive property.

Mathematics
1 answer:
xeze [42]3 years ago
5 0

Answer:

12x + 24 = 2(6x + 12)

12x + 24 = 3(4x +  8)

12x + 24 = 4(3x +  6)

12x + 24 = 6(2x +  4)

12x + 24 = 12(x +  2)

Step-by-step explanation:

Given

12x + 24

Required

Equivalent expressions

No option were given; So, I will list out some possible equivalent expressions.

Using distributive property:

AB + AC = A*(B + C)

So, we have:

12x + 24 = 2*6x + 2 * 12

12x + 24 = 2(6x + 12) ----- (1)

Another:

12x + 24 = 3*4x + 3 * 8

12x + 24 = 3(4x +  8)

Another:

12x + 24 = 4*3x +  4*6

12x + 24 = 4(3x +  6)

Another:

12x + 24 = 6*2x +  6*4

12x + 24 = 6(2x +  4)

Another:

12x + 24 = 12*x +  12*2

12x + 24 = 12(x +  2)

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aleksklad [387]

Answer:

Day 13

Step-by-step explanation:

The question can be represented with a geometric sequence

Where,

a = 5

Common ratio , r = 2

v(t) = a * r^(t - 1)

v(t) = 5 * 2^(t-1)

20,000 = 5 * 2^(t-1)

Divide both sides by 5

20,000 / 5 = 5 * 2^(t-1) / 5

4,000 = 2^(t-1)

2^12 = 2^(t-1)

12 = t - 1

12 + 1 = t

t = 13 days

What would be the day when more than 20,000 people will see the video

Check:

v(t) = 5 * 2^(t-1)

= 5 * 2^(13-1)

= 5 * 2^12

= 5 * 4,096

= 20,480

Therefore,

The day when more than 20,000 people will see the video is day 13

6 0
3 years ago
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sveticcg [70]

Answer:

Acute Triangle

Step-by-step explanation:

All angles are less than 90 degrees.

6 0
2 years ago
It takes Santa 5 minutes to fly 35 miles with the wind .It takes him 7 minutes to fly 35 miles against the wind determine the sp
Dmitrij [34]

Answer: Santa's speed in still air is 6 miles per minute

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Step-by-step explanation:

Let x represent the speed of Santa in still air. It is assumed that in still air. She is flying with the wind. If the speed of the wind is y, then him total speed is x + y

It takes Santa 5 minutes to fly 35 miles with the wind.

Speed = distance / time

It means that

x + y = 35/5 = 7

It takes him 7 minutes to fly 35 miles against the wind. This means that his total speed will be x - y

Speed = distance/time. Therefore,

x - y = 35 /5 = 5 - - - - - - 1

Substituting x = 7 - y into equation 1, it becomes

7 - y - y = 5

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y = -2/-2 = 1

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3 0
3 years ago
Please help me guys
Dima020 [189]
Hello!

OC = OD = Radius
6x + 2 = 10x - 16
6x - 10x = -16 - 2
-4x = -18
x = -18/-4
x = 4.5

Radius = OC = 6(4.5) + 2 = 29 units
5 0
3 years ago
Read 2 more answers
What is an equation of the line that passes through the points (-6, 2)and (−6,6)?
monitta

Answer:

x=-6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(6-2)/(-6-(-6))

m=4/(-6+6)

m=4/0

undefined

x=-6

4 0
2 years ago
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