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What is the greatest common factor of 4xy2 and 20x2y4?4xy
4xy2
24xy
24xy2

Answers

Answer 1

Answer:

The greatest common factor of 4xy² and 20x2y^4 is: 4xy².

What is the Greatest Common Factor?

Greatest common factor of a set of terms is the factor that all terms in the set share together.

Given:

4xy² and 20x2y^4

4xy² can divide both terms, meaning both terms share a factor.

Therefore, the greatest common factor of 4xy² and 20x2y^4 is: 4xy².

Learn more about greatest common factor on:

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What is the difference x +5/ x +2 - x + 1/x ^2 + 2x?

Answers

ANSWER
The difference is,

$\frac{ {x}^(2) + 4x - 1}{ {x}^(2) + 2x}$

EXPLANATION

To find the difference, we just have to simplify the expression.

The given expression is

$(x + 5)/(x + 2) - \frac{(x + 1)}{ {x}^(2) + 2x}$

We factor the denominator of the second fraction to get,

$=(x + 5)/(x + 2) - ((x + 1))/( x( x+ 2))$

We can now see clearly that the LCM is

$x(x + 2)$

We collect LCM to get,

$=(x(x + 5) - (x + 1))/( x( x+ 2))$
We now expand the bracket to obtain,

$=\frac{ {x}^(2) + 5x - x - 1}{ {x}^(2) + 2x}$

This gives us,

$=\frac{ {x}^(2) + 4x - 1}{ {x}^(2) + 2x}$

The difference will be given by:
(x +5)/ (x +2) - (x + 1)/(x ^2 + 2x)
=(x +5)/ (x +2) - (x + 1)/[x (x + 2)]
the LCM is x(x+2)
thus the difference will be:
[x(x+5)-(x+1)]/(x (x + 2))
=[x^2+5x-x-1]/[x(x+2)]
=(x^2-4x-1)/[x(x+2)]

Answer:(x^2-4x-1)/[x(x+2)]

Bill and Ben each have three cards numbered 4,5,6 they each take one of their own cards then they add the two numbers on the cards what is the probability that their answer is an odd number. What is the probability that their answer is a number less than 11.

Answers

Answer:

P(odd) = 4/9
P(<11) = 2/3

Step-by-step explanation:

There are 9 possible outcomes for (Bill, Ben)'s cards:

(4, 4) total 8; (4, 5) total 9; (4, 6) total 10;

(5, 4) total 9; (5, 5) total 10; (5, 6) total 11;

(6, 4) total 10; (6, 5) total 11; (6, 6) total 12.

Of these 9 outcomes, 4 have an odd total; 6 are less than 11.

P(odd) = 4/9

P(sum < 11) = 2/3

What is the volume of 22.5 g of metal with a density of 2.81 g/cm

Answers

Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³

D = mV=99.7g22.1cm³ = 4.51 g/cm³

Step-by-step explanation:

d = mV

m = d×V

V = md

DENSITY

Density is defined as mass per unit volume.

d = mV

Example:

A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?

Step 1: Calculate the volume

V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³

Step 2: Calculate the density

d = mV = 433g200cm³ = 2.16 g/cm³

MASS

d = mV

We can rearrange this to get the expression for the mass.

m = d×V

Example:

If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?

m = d×V = 500 mL × 1.11g1mL = 555 g

VOLUME

d = mV

We can rearrange this to get the expression for the volume.

V = md

Example:

What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.

Step 1: Convert kilograms to grams.

14.83 kg × 1000g1kg = 14 830 g

Step 2: Calculate the volume.

V = md = 14 830 g × 1cm³19.32g = 767.6 cm³

a recipe for salsa is 65% tomatoes.if a batch contains 5.2 cups of tomatoes,how large is the batch of salsa. please help!!

Answers

Answer:

8 cups

Step-by-step explanation:

Let the total batch of salsa be x.

$(65)/(100)$ x = 5.2

$(100)/(100)$ x = $(100)/(65)$ × 5.2

x = 8

8 cups of tomatoes...

What is the solution of the equation (x - 5)2 +3(x-5)+9 = 0? Use u substitution and the quadratic formula to solve.

Answers

Answer:

x= $(7+3i√(3) )/(2)$ and $(7-3i√(3) )/(2)$

Step-by-step explanation:

(x - 5)^(2) +3(x-5)+9

(x - 5)^(2)= x2−10x+25

3(x-5)= 3x-15

x^2-10x+25+3x-15+9

x^2-7x+19=0

a=1 b=-7 c=19

use quadratic formula

$\frac{-b+\sqrt{b^(2) -4ac} }{2a}$

$\frac{-(-7)+\sqrt{-7^(2)-4(1)(19) } }{2}$

$\frac{7+\sqrt{49{}-4(19) } }{2}$

$\frac{7+\sqrt{49{}-76 } }{2}$

$\frac{7+\sqrt{-27{} } }{2}$

$√(-27) =3i√(3)$

$(7+3i√(3) )/(2)$

A turkey was cooked at 400° F in the oven for 3 hours. The internal temperature rose from 30° F to 156° F. What was the average rise in temperature per hour?