Factor this radical expression. 50a^2-10ab/20a^3b^3

Answers

Answer 1

Answer: remembe
(ax)/(bx)=(a/b)(x/x)=(a/b)1
find ones aka common factors and use distributive

top
50a^2-10ab
common facotrs is 10a
undistribute (ab+ac=a(b+c))
10a(5a-b)

bottom
20a^3b^3
see if 10a is also a common factor and undistribute that to cancel and make ones
10a(2a^2b^2)

now we have
$(10a(5a-b))/(10a(2a^(2)b^(3))$ = $(10a)/(10a)$ $(5a-b)/(2a^(2)b^(3))$

Answer 2

Answer: 1)split into two fractions
$(50a^(2) )/(20a ^(3) b ^(3) )$ - $(10ab )/(20a ^(3) b ^(3) )$

2) cancel what you can on both sides
$(5)/(2ab ^(3) )$ - $(1)/(2a ^(2)b ^(2) )$

3) Make the denominators the same by cross multiplying and then put together as 1 fraction again
$(5a-b)/(2a ^(2)b ^(2) )$

Related Questions

Two angles are supplementary. The first angle measures 60°. What is the measurement of the second angle? A. 90° B. 30° C. 120° D. 180°
A student runs 100 meters in 11 seconds. What is the speed of the student? 9.1 miles per hour 16miles per hour 20.3miles per hour 24miles per hour
PLEASE HELP Write an equation in standard form of the line that passes through the given pointand has the given slope.1. (2,-4); m= 2/3 2. (5, -3); m - 2 3. (6,0); m= 3/44. (-1, 2); m - 75. (-3,-5), m=136. (4,0); m - -5
10. The soccer coach purchased 8 pizzas for the end of the season party. Altogether, the soccer team ate 3/4 of the pizzas. How many pizzas did the soccer team eat? *
2: find the slop and the y-intercept of the line represented by the equation.7x + y = 8 I am having trouble with these, could someone please help me.

The function t(x) = x + 6 determines how many cans of soup a food truck needs to stock, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on soup. The function c(x) = 2x + 4. Solve for how much money must be spent when the crew is going to work 4 shifts.(A. 24; B. 28; C. 30; D. 34)

Answers

Answer:

Option A is correct.

The amount of money must be spent when the crew is going to work 4 shifts is, 24

Step-by-step explanation:

Given the function: $t(x) = x+6$ .....[1] ; where x represents the number of shifts the crew is going to work in the truck.

Also, the crew uses c(t(x)) which represents the amount of money to spend on soup.

The function is given as:

c(x) = 2x + 4 .....[2]

To find c(t(x)) i.e, the money must be spent when the crew is going to work 4 shifts.

⇒ x = 4

First substitute the value of x in [1] to find t(x);

$t(4) = 4+6 = 10$

Then;

For x=4 ,

c(t(4)) = 2(t(4)) +4 [Using equation [2]]

Substitute the value of t(4) = 10 we have;

c(t(4)) = 2(10) +4 = 20 + 4 = 24

Therefore, the amount must be spent when the crew is going to work 4 shifts is, 24

First, you have to solve t(x) when x=4, because the crew is working 4 scripts. Which is t(x)=4+6
t(x)=10
Then, you plug in t(x) to c(x).
c(x)=2(10)+4
c(x)=24

Grant has 2/3 cup of ice cream in bowl. He then removes two 1/6 cups ice cream to share with his little brother. Whuch of the folliwing best explains the amount of ice cream left in grants bowl?

Answers

two 1/6 cups would be equal to 2/6 cups OR 1/3
subtract 1/3 from 2/3
grant has 1/3 cup left in this bowl

jamie is running a race that is 26.2 miles long and she is running at a speed of 8 miles per hour. she has completed 3/4 of the race already.How much longer will it take her to finish the race?

Answers

Answer:

49 1/8 minutes

Step-by-step explanation:

Jamie has 1/4 of the 26.2 mile distance to go, so must finish ...

(26.2 mi)/4 = 6.55 mi

The time in hours required to do that is found by dividing distance by speed:

time = distance/speed = (6.55 mi)/(8 mi/h) = 0.81875 h

In minutes, this is ...

(0.81875 h)×(60 min/h) = 49.125 min = 49 1/8 min

It will take Jamie 49 1/8 minutes to finish the race at her current speed.

49 1/8 minutes is how long......

A car can travel 300 miles on 10 gallons of gas. The ratio is 300 miles to 10 gallons.Write the ratio given in the problem. Divide both quantities in the ratio by the second quantity in the ratio and write the new ratio. What is this ratio called? Explain.

Answers

Answer:

The new ratio is 30 miles : 1 gallon it called the unit rate

Step-by-step explanation:

* Lets explain what is the unit rate

- A unit rate describes how many units of the first type of quantity

equal to one unit of the second type of quantity

- Ex: 3 miles per hour

$100 per day

15 students per class

- A unit rate is a rate with 1 in the denominator

- Ex: $20 for 5 pens, the rate is 20 : 5 divide the two terms by the

denominator 5, then 20 : 5 = 4 : 1 then unit rate is $4 per pen

* Lets solve the problem

- A car can travel 300 miles on 10 gallons of gas

∴ The rate is 300 miles per 10 gallons

- To find the unit rate divide the two terms of the rate by 10

∴ 300 : 10 = 300/10 : 10/10

∴ 300 : 10 = 30 : 1

∴ The unit rate is 30 miles per gallon

* The new ratio is 30 miles : 1 gallon it called the unit rate

The reciprocal of an integer plus the reciprocal of two times the integer plus two equals 2/3 Find the integer.

Answers

$(1)/(x) + (1)/(2x+2)= (2)/(3)\ /\cdot 3x(2x+2) \ \ \ \wedge\ \ \ x \neq 0\ \ \wedge\ \ 2x+2 \neq 0\n \n.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x\in R-\{0;-1\}\n \n (1)/(x)\cdot 3x(2x+2) + (1)/(2x+2)\cdot 3x(2x+2)= (2)/(3)\cdot 3x(2x+2)\n \n3(2x+2)+3x=2x(2x+2)\n \n6x+6+3x=4x^2+4x\n \n-4x^2+9x-4x+6=0\n \n-4x^2+5x+6=0\ \ \ \Rightarrow\ \ \Delta=5^2-4\cdot(-4)\cdot6=25+96=121\n \n$

$x_1= (-5- √(121) )/(2\cdot (-4))= (-5-11)/(-8) = (-16)/(-8) =2\ \ \ is\ integer\n \nx_2= (-5+ √(121) )/(2\cdot (-4))= (-5+11)/(-8) = (6)/(-8) =- (3)/(4) \ \ \ is\ not\ the\ integer$

Two equations are given below:a − 3b = 4
a = b − 2

What is the solution to the set of equations in the form (a, b)?

(−2, −2)
(−3, −1)
(−9, −7)
(−5, −3)

Answers

The solution to the set of equations in the form (a, b) is (-5, -3).

Hence, 4th option is the right choice.

What are simultaneous equations?

A system of equations, also known as an equation system or a set of simultaneous equations, is a finite collection of equations for which common solutions are found.

How do we solve the given question?

We are given two equations in a and b and are asked to find the solution to them. The equations are:

a - 3b = 4 . . . . . . . . . . . . . . (1)

a = b - 2 . . . . . . . . . . . . . . (2)

We substitute the value of a = b - 2 from (2) in (1) to get,

(b - 2) -3b = 4

or, b - 2 - 3b = 4.

or, b -2 - 3b + 2 = 4 + 2 (adding 2 two both sides of the equation)

or, -2b = 6 (simplifying)

or, -2b/(-2) = 6/(-2) (dividing both sides by -2)

or, b = -3 (simplifying)

Now, we substitute this value of b = -3, in (2) to get

a = (-3) - 2

or, a = -5.

∴ (a, b) = (-5, -3)

Learn more about simultaneous equations at

brainly.com/question/16863577

#SPJ2

Since the second equation gives a value for a, we can substitute it into the other equation to find a value for B.

Let's substitute b-2 into the first equation wherever there is an a.

a - 3b = 4
(b-2) - 3b = 4
b - 2 - 3b = 4
-2 - 2b = 4
-2b = 6
b = -3

Now let's find a by substituting -3 into either of the equations to find the value of a.

a = b - 2
a = -3 - 2
a = -5

So your solution set is (-5, -3)

Other Questions

A man divided $9,000 among his wife, son, and daughter. The wife received twice as much as the daughter, and the son received $1,000 more than the daughter. How much did each receive?If x is the amount the wife received, then which of the following expressions represents the amount received by the son? A. x/2 + 1000 B. x + 1000 C. 2x + 1000

When simplifying an expression that contains no parentheses, you always multiply before you divide.True or False

Ms. Sweet predicts 50 people will enter the maze next year. Based on your findings, give Ms. Sweet a recommendation for the number of pumpkins to place in the maze.

One point on a line is given the coordinate 5.3. A second point on the line has a coordinate of 8.7.The distance between these points is __________ units.