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2 years ago

5 1/4 - 2 5/7 USING FRACTION MODELS 40 POINTS

Mathematics

1 answer:

just olya [345]2 years ago

6 0

Answer:

2 5/12

Step-by-step explanation:

(5 + 1/4) - (2 - 5/6)

5 - 2 = 3

(1/4 x 3/3) - (5/6 x 2/2) = 3/12 - 10/12 = -7/12

3 - 7/12 = 2 5/12

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Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).

Natalija [7]

Answer:

9a^4 b^10(2 +3a^6 b^5) (2 -3a^6 b^5)

see work below

Step-by-step explanation:

36a^4b^10 - 81a^16b^20

A) find the GCF

36a^4b^10 = 4*9 a^4b^10 = 2*2*3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b

81a^16b^20= 9*9a^16b^20= 3*3*3*3* a*a*a*a*a*a*a*a*a*a*a*a*a*a*a*a *b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b*b

The terms that appear in both terms is the GCF. The terms that remain are inside the parentheses.

The GCF is 3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b

36a^4b^10 - 81a^16b^20 = 3*3 a*a*a*a*b*b*b*b*b*b*b*b*b*b *

( 2*2 - 3*3a*a*a*a*a*a*a*a*a*a*a*a b*b*b*b*b*b*b*b*b*b)

Combining like terms

36a^4b^10 - 81a^16b^20 = 9a^4b^10(4-9a^12b^10)

The expression inside the parenthesis can be factored using the difference of squares

let x^2 =4 x =2

y^2 = 9a^12 b^10 y = 3a^6b^5

(x^2 -y^2) = (x+y)(x-y)

9a^4b^10(4-9a^12b^10) = 9a^4b^10 ( 2+3a^6b^5) ( 2-3a^6b^5)

b) difference of squares a^2 – b^2 = (a + b)(a – b)

let a^2 = 36a^4b^10

so a = 6a^2b^5

b^2 = 81a^16b^20

b = 9a^8 b^10

a^2 – b^2 = (a + b)(a – b)

36a^4b^10 - 81a^16b^20 = (6a^2b^5 +9a^8 b^10) (6a^2b^5 -9a^8 b^10)

We can factor a 3 a^2 b^5 out of the first term

3 a^2 b^5 (2 +3a^6 b^5) (6a^2b^5 -9a^8 b^10)

3 a^2 b^5 (2 +3a^6 b^5) 3 a^2 b^5 (2 -3a^6 b^5)

Multiply the terms outside the parentheses together

9a^4 b^10(2 +3a^6 b^5) (2 -3a^6 b^5)

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3 years ago

Read 2 more answers

What is this y2w-yw2

Vika [28.1K]

Answer:

yw(y - w)

Step-by-step explanation:

${y}^{2} w - y {w}^{2} = yw(y - w) \\$

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3 years ago

Wilmer spends at least 13 hours reading for his assignments each week, plus 1 hour completing each Reading Response assignment.

Semenov [28]

Answer:

A. There is no solution. For the inequality to be true, the value of x has to be negative. This is impossible because Wilmer can't have a negative number of Reading Response assignments.

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4 years ago

My equation equals 180. With the 3 variables missing

Natasha_Volkova [10]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, and it needs additional information before it can be answered.

However, a possible question could be that we generate an equation that has 3 variables and equals 180.

A possible question is:

The sum of three consecutive numbers is 180. What is the highest number?

And the solution is as follows:

Let the three numbers (in order of smallest to greatest) be x, y and z

So, the sum is:

$x + y + z = 180$

Since the numbers are consecutive, then the following relationship exist:

$y = x + 1$

$x = x + 2$

Substitute x + 1 for y and x + 2 for z in $x + y + z = 180$

$x + x + 1 + x + 2 = 180$

Collect Like Terms

$x + x + x = 180 - 3$

$3x = 177$

Solve for x

$x = 177/3$

$x = 59$

The value of the highest being is:

$z = x + 2$

$z = 59 + 2$

$z = 61$

You can generate as many equation as possible

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What is the unit digit of 3^(25) + 325 ? (Please show work and I will mark brainlist)

scZoUnD [109]

E) eight the unit digit :))

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