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Mashcka [7]
2 years ago
13

Heng was trying to factor 10 x 2 + 5 x 10x 2 +5x10, x, squared, plus, 5, x. She found that the greatest common factor of these t

erms was 5 x 5x5, x and made an area model:
Mathematics
1 answer:
Molodets [167]2 years ago
3 0

Full question:

Heng was trying to factor 10x²+5x. She found that the greatest common factor of these terms was 5x and made an area model: What is the width of Heng's area model?

Answer:

The width of the area model is 2x + 1

Step-by-step explanation:

Given

Expression: 10x² + 5x

Factor: 5x

Required

Width of the Area Model

To solve this, I'll assume the area model is Length * Width

Provided that we're to solve for the width of the model.

This implies that; Length = 5x

Area = Length * Width

And

Area = 10x² + 5x

Equate these two

Length * Width = 10x² + 5x

Factorize express on the right hand side

Length * Width = 5x(2x + 1)

Substitute 5x for Length

5x * Width = 5x(2x + 1)

Divide both sides by 5x

Width = 2x + 1

Hence, the width of the area model is 2x + 1

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Answer:

The amount of money shared is 360

Step-by-step explanation:

We are given that A certain amount of money is shared in a ratio 2:3:9.

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So, Shares are :

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4x=4(40)=160

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Hence the amount of money shared is 360

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Find 10-3. Write the subtraction fact two ways.
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This is a problem of fact families, but <em>what is fact families?</em> Well it is a family of four things. Two of them are additions and two of them are subtractions. So this question asks about fact families by w<span>riting the <em>subtraction fact two ways</em>. So we have:

</span><span>10-3

First way. So let's take the number 10 and explain this problem using triangles. Let's say that we have 10 triangles in the beginning:

</span>Δ Δ Δ Δ Δ
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So I want to take away 3 triangles, then by taking away 3<em> what is left? </em>Well the answer is 7:

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That is, if we subtract 3 from 10 then the result is:

10-3=7

Second way. In this subtraction we take the same 10 triangles:

Δ Δ Δ Δ Δ
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Now I want to take away 7 triangles, then by taking away 7 what is left is 3:

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How to solve q =r/2(s+t) for t
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You work delivering food for a local farmer. You sell onions from the farm at these prices: 2 for $1.04, 4 for $2.52, 8 for $4.3
kenny6666 [7]

Answer:

D.  9%

Step-by-step explanation:

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if base on the best deal 1 - 0.63

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