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natta225 [31]
3 years ago
10

Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus

3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work?
Mathematics
1 answer:
natka813 [3]3 years ago
7 0

Answer:

Identity property of multiplication

Step-by-step explanation:

From step 5:

1x = 20

Here, to solve for x so that the variable x stands alone, Alberto uses the identity property of multiplication, which justifies what he has in step 6.

Step 6:

x = 20

According to the identity property of multiplication, any value you multiply by 1 gives you that same value.

Therefore, 1x = 1 × x = x.

The variable x multiplied by 1 will give you x.

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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
The length of a rectangular computer chip is 22 x 10 cm and the width is 7 x 104 cm. Explain how to
mash [69]

Answer:

area = 160160 inches²

area = 1.6016 × 10⁵ inches²

Step-by-step explanation:

The length of the rectangular computer chip is 22 × 10 cm and the width is 7 × 104 cm .  

The area of the rectangular computer chip is the product of the length and the width.

area = length × width

area = (22 × 10) × (7 × 104)  

area = 220 × 728

area = 160160  inches²

In scientific notation

area = 1.6016 × 10⁵ inches²

160160 is written as 1.6016 × 10⁵ because 1.60160 × 100000 = 1.6016 × 10⁵

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3 years ago
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Flura [38]
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A large dining room table is in the shape of a semi circle diameter 12 feet. What is the square feet closest to the area ? Radiu
Zarrin [17]
No, the radius is not 3.14 .  The radius is 1/2 of the diameter . . .  That's 6 feet.
If you see 3.14 on the sheet, then that's the number you're supposed to use for pi .

The area of any circle is (pi) x (radius squared).
If the table were a full circle, its area would be (pi) x (6 squared) = 36 pi square feet.

But it's only half of that . . . 18 pi = (18) x (3.14) = <u>56.52 square feet</u>.

That's called the "area" of the table, not the "square feet" of the table.

And another thing:   I see you're asking for the "closest" number.   Don't ask me
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http://www.stgeorges.co.uk/blog/how-can-i-describe-a-graph-ielts-writing-task-part-1-business-english

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