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3 years ago

Identify the GCF of 6x2y2 − 8xy2 + 10xy3. 6x2y2 2x2y 2xy2 6xy2

Mathematics

2 answers:

gladu [14]3 years ago

8 0

Answer:

Option C is correct.

Step-by-step explanation:

Given Expression: 6x²y² - 8xy² + 10xy³

We have to find GCF of the expression

GCF means Greatest common factor of the given expression.

Consider,

6x²y² - 8xy² + 10xy³

= 2×3×x×x×y×y - 2×2×2×x×y×y + 2×5×x×y×y×y

= 2×x×y×y ( 3x - 4 + 5y )

= 2xy² ( 3x -4 + 5y )

GCF = 2xy²

Therefore, Option C is correct.

sattari [20]3 years ago

3 0

First find GCF of the numbers:-

GCF of 2, 6 and 8 = 2
GCF od x^2 x and x is x
GCF of y^2, y^2 and y^3 is y^2

so the answer is 2xy^2

The third choice.

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Using an infinite geometric series for the repeating decimal 0.551¯¯¯¯¯¯¯¯, with ratio 11000, find integers a and b so that 0.55

irga5000 [103]

Answer:

Sum = 551/999

Where a = 551 and b = 999

The two integers are 551 and 999

Step-by-step explanation:

Given

Decimal = 0.551

Ratio = 1/1000

By repeating the decimal, we can write;

0.551 -bar = 0.551551551.....

0.551551551..... = 0.551 + 0.000551 + 0.000000551 + ....

= 551/1000 + 551/1000000 + 551/1000000000 + ......

= 551/10³ + 551/10^6 + 551/10^9 + .....

= n=0 Σ∝(551/10³)(1/10³)^n

Hence, the infinite geometrc series is Σ(551/10³)(1/10³)^n for n = 0 to

∝

Given the ratio of 1/1000

Let r = 1/1000

r = 1/10³

a = 551/10³

The sum is defined as follows;

a/(1-r)

Sum = 551/10³ / (1 - 1/10³)

Sum = 551/1000 ÷ 999/1000

Sum = 551/999

So, a/b = 551/999

Where a = 551 and b = 999

The two integers are 551 and 999

5 0

3 years ago

The price of a certain property increased by 10% in the first year, decreased by 20% in the second year, and increased by 25% in

Marizza181 [45]

Answer:

1) $4400

2) $4400

Step-by-step explanation:

Let

X = price in first year

Y = price in 2nd year

Z = price in 3rd year

A = price in the end of 3rd year

Y = 1.1 X

Z = 0.8 Y

substitute Y into Z get Z = 0.88 X

A = 1.25 Z= 1.25(0.88X) = 1.1 X

(125/100) Z = 22000

Z = 22000 x 100 / 125 = 17600

Z = 0.8Y

Y = Z/0.8 = 1.25Z

Amount of dollar decrease in 2nd year = Y - Z

= 1.25Z - Z = 0.25Z = 0.25 x 17600 = 4400 dollar

Decrease in price over first 2 years = Increase in property in 3rd year - 2000

Hence, X - Z = (A-Z) - 2000

X - 0.8X = 1.1 X - 0.88 X - 2000

X - 0.88X - 1.1X + 088X = -2000

-0.1 X = -2000

0.1 X = 2000

X = 20000

Amount of dollar decrease during 2nd year = Y - Z = 1.1X - 0.88X = 0.22X

= (0.22) x (20000) = 4400 dollars

3 0

3 years ago

The ratio of cups of orange juice concentrate to water in a punch recipe is 3:5. If Connor used 25 cups of water, how many cups

bezimeni [28]

Answer:

15 cups of orange juice

Step-by-step explanation:

Let u be 1 unit.

5u = 25 cups

u = 25÷5

= 5

3u = 5×3

= 15

5 0

3 years ago

Please help, I need to determine the slope and y-intercept for each group. I need to write an equation for the graph in slope-in

Readme [11.4K]

Answer:

Step-by-step explanation:

Slope: -3

Y intercept: 0

Equation: y=-3x+0

4 0

3 years ago

Read 2 more answers

[9 X (10 – 2)] = [2 + (5 x 2)]

Iteru [2.4K]

Answer:

x=3

Step-by-step explanation:

Simplifying

9 + -2(x + -5) = x + 10

Reorder the terms:

9 + -2(-5 + x) = x + 10

9 + (-5 * -2 + x * -2) = x + 10

9 + (10 + -2x) = x + 10

Combine like terms: 9 + 10 = 19

19 + -2x = x + 10

Reorder the terms:

19 + -2x = 10 + x

Solving

19 + -2x = 10 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

19 + -2x + -1x = 10 + x + -1x

Combine like terms: -2x + -1x = -3x

19 + -3x = 10 + x + -1x

Combine like terms: x + -1x = 0

19 + -3x = 10 + 0

19 + -3x = 10

Add '-19' to each side of the equation.

19 + -19 + -3x = 10 + -19

Combine like terms: 19 + -19 = 0

0 + -3x = 10 + -19

-3x = 10 + -19

Combine like terms: 10 + -19 = -9

-3x = -9

Divide each side by '-3'.

x = 3

Simplifying

x = 3

7 0

3 years ago