Mathematics Middle School

Find the greatest common factor of 8a 3 b 2 and 12ab 4.

Answers

Answer 1

Do you mean 8a³b² and 12ab^4?

If it is like this..
The GCF is 4ab²

Answer 2

Answer:

4ab²

Step-by-step explanation:

The two expressions are given as 8a³b² and 12ab⁴

Now factors of 8a³b² = 2 × 2 × 2 × a × a × a × b × b

and factors of 12ab⁴ = 2 × 2 × 3 × a × b × b × b × b

Now greatest common factor will be 2 × 2 × a × b × b

= 4ab²

Related Questions

Write an equation for a line g(x) perpendicular to f(x) = 4x − 5 and passing through the point (4, 20). plz.....

Answers

The slopes of perpendicular lines are negative reciprocals.The slope of the given line is 4.The slope of the perpendicular is -1/4.
Now we need to find the equation of a line that has slope -1/4 and passes through the point (4, 20).
We use the point-slope form of the equation of a line, where m = slope, and the point is (x1, y1).
y - y1 = m(x - x1)
y - 20 = -1/4(x - 4)
-4y + 80 = x - 4
x + 4y = 84

Final answer:

The equation for the perpendicular line g(x) is g(x) = (-1/4)x + 21, found by using the negative reciprocal of the original slope and the point-slope form of a line.

Explanation:

To find the equation for a line g(x) that is perpendicular to f(x) = 4x - 5 and passes through the point (4, 20), we need to determine the slope of the perpendicular line and then use the point to find the specific equation.

Since the slope of the line represented by f(x) is 4, the slope of any line perpendicular to it will be the negative reciprocal, which is -1/4.

Now, we can use the point-slope form of a line equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point the line passes through.

Substituting the given point and the slope into the point-slope form, we get:

y - 20 = (-1/4)(x - 4)

Expanding this we have:

y - 20 = (-1/4)x + 1

Adding 20 to both sides to solve for y gives us the final equation of line g(x):

g(x) = (-1/4)x + 21

A farmhouse shelters 10 animals. Some are pigs and some are ducks. Altogether there are 36 legs. How many of each animal are there?

Answers

8 pigs 4 ducks
8x4=32
2x2=4
32+4=36

there are 8 pigs and 2 ducks. 2 ducks equal 4 legs, and 8 pigs equal 32 legs. Then, you do simple math, so 32 plus 4 is 36 legs!

What is the volume of a 8 by 4.5 by 3.5 prism

Answers

Always for prisms like a rectangle you multiply all sides so 8 times 4.5 times 3.5 = 126, for a triangular prism your have to divide by 2 .

Hope this was helpful

126squared becuawse you multiply the length,width,&height

What is the answer to this question?

Answers

I Think it is 48000. Maybe??

I used a surface area calculator and my answer is 33680 cm^2

Need help on this question

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Your answer to this question is B.

The letter T has at least one right angle

It has two right angles, the other letters do not have at least one right angle

What is the angle of this triangle

Answers

[tex]A_\Delta=\dfrac{1}{2}\sin65^o\cdot8\cdot12=48\sin65^o\\\\\sin65^o=0.9063\\\\P_\Delta=48\cdot0.9063=43.5024\approx43.5\ cm^2[/tex]

[tex]\text{Given that the formula for Area is } \dfrac{1}{2} \text{ab} \sin(\text{c})[/tex]

[tex]\text{Area = } \dfrac{1}{2} \text{(12)(8)} \sin(\text{65}\textdegree)[/tex]

[tex]\text{Area = }43.5 \text{ cm}^2[/tex]

79+b=159
b=
send help pls... :)

Answers

Subtract 79 from both sides to isolate variable b.

b = 159 - 79
b = 80

B=80 simple as that

What is eight and nineteen thousandths in decimal form

Answers

8.019!
Hope this helps!

Decimal form of eight and nineteen thousandths is 8.019.

Eight and nineteen thousandths in decimal form is written as 8.019.

To represent this in decimal form, we can think of the place value chart: 8 (whole number part), 0 (tenth place), 1 (hundredth place), and 9 (thousandth place).

Therefore, 8.019 is the decimal form of eight and nineteen thousandths.

Which number has the greatest value?

Answers

There is no true answer to that, thus the answer is infinity.

probably infinity bc numbers are eternal

Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed? (look at the image below)

The dependent variable is distance, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.
The dependent variable is time, the equation is x = 20y, and the dragonfly will travel 360 miles.
The dependent variable is time, the equation is y = 20x, and the dragonfly will travel 480 miles.

Answers

40/2 = 20
so
y = 20x

y = distance (miles) and x = time (hours)
so if x = 24 then y = 20x = 20(24) = 480

answer
The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.

Answer:

The dependent variable is distance, the equation is y = 20x, and the dragonfly will travel 480 miles.

Step-by-step explanation:

According to the graph, the dependent variable is Distance in miles, because it's on the vertical axis. Additionally, the independent variable is time in hours, because it's on the horizontal axis. However, you always put time as independent, because nothing affects time.

To find the equation, we just need to find the slope, using two points (0,0) and (2,40).

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }=\frac{40-0}{2-0}=20[/tex]

Therefore, the equation is [tex]y=20x[/tex], which shows a direct proportion between variables.

Now, in 24 hours, it would travel

[tex]y=20(24)=480[/tex]

It would travel 480 miles.

Therefore, the right answer is the second choice.

Solve for x
X3=1/27
Solve in fraction simplest form

Answers

x³ = 1/27
x=³√1*1*1/3*3*3
x= 1/3

Factor using difference of cubes and set each factor equal to 0.

[tex]x= [/tex] [tex] \frac{1}{3} [/tex], [tex]- \frac{1-i \sqrt{3} }{6} [/tex], [tex]- \frac{ 1+i \sqrt{3} }{6} [/tex]

Hope i was of some help ^.^

A rectangular bathtub is 5 1/2 feet long, 1 1/2feet wide, and 3 feet high. Daniel fills the tub to a depth of 2feet.What is the volume of the water in the tub?

Answers

To find the volume of the water that is in the tub, you will multiply the length by the wet by the height/depth of the water.

V = lwh
5 1/2 x 1 1/2 x 2
V = 16 1/2 ft.³

It takes a ship 3 hours to cover 72 km with the current and 4 hours against the current. Find the speed of the ship in still water and the speed of the current.

Answers

x- speed of the ship in still water
a- speed of current
(x+a)- speed with current
(x-a) - speed against current

(x+a)*3=72
(x-a)*4=72

x+a=24
+ x-a=18
2x =42
x = 21

x+a=24, 21+a=24, a=3

The speed of the ship in still water = 21 km/h,
the speed of the current =3 km/h.

Answer:

ship = 21 km/h,

current =3 km/h.

Step-by-step explanation:

What is the measure of X

Answers

Answer:

we can know the answer by using phorem therom so

Step-by-step explanation:

all are 90 degree so x angle will also be 90 degree

now h^2 =p^2+b^2 so

a traffic light on a busy north-south street is programmed according to this pattern: green for 4 minutes followed by red for 2 minutes. mr gomez goes through this intersection on his way to an from work everyday. last week, he kept a record of the number of times it was green as he approached the intersection and the number of times he had to stop because the light was res. his record is as follows green green red green green green green green green green, what is the therorerical probability that the light will be green each time mr gonez approaches the intersection

Answers

It would be 2/3.

The theoretical probability is the expected amount of times that the light would be green. The light is green for 4 minutes and red for 2 minutes for each series. That means 4 out of the total 6 minutes are green.

4/6 = 2/3

Can someone HELP ME DO THIS??

Answers

the 20% of $43.00 is 8.60 which means

43.00+8.60 = 51.60

Meal= $43.00
Tip= 20%

Total= Meal + (Meal * 20%)

= $43 + ($43 * 20%)
convert % to decimal (20% ÷ 100 or simply move decimal 2 places left)

= 43 + (43 * 0.20)
multiply inside parentheses

= 43 + 8.60

= $51.60 total

ANSWER: The total, including a 20% tip, is $51.60.

Hope this helps! :)

Sandra has four color cards: one blue, one red, one green, and one yellow. If she puts them in a box, in how many different orders could she draw them out?
A. 16
B. 24
C. 32
D. 64

Answers

A. 16 i don't know tho..

Find M angle P
The diagram is not a scale

Answers

Angle P is equal to 74. Do you need to know the working?

The answer would be angel M would be 74

how to draw a model to show 5.5 divided by 5

Answers

Answer:

1.1

Step-by-step explanation:

Gracie uses 10 beads on each necklace she makes. She has 60 beads to use. How many necklaces can Gracie make?

Answers

she can make 6 necklaces.

Gracie can make 6 necklaces.
60 divided 10 = 6
Hope this helps lol

What is the area of the shaded region to the nearest tenth of a foot?

Part a) Explain what formulas you will use to find the area of the shaded area.

Par b) Explain how you find the area of the shaded region. What was your thought process?

Answers

a) The shaded region is that portion of the rectangle that is not in the circle. You need the formulas for the area of a rectangle and a circle.
Area of rectangle = length*width
Area of circle = (π/4)*diameter²

b) The figure shows the width of the rectangle is 14 ft, the same as the diameter of the circle. The length of the rectangle is shows as 21 ft. The shaded area is the difference ...
Shaded Area = Area of rectangle - Area of circle
Shaded Area = (21 ft)*(14 ft) - (π/4)*(14 ft)²
Evaluating this expression, we have
Shaded Area ≈ 294 ft² - 153.9 ft² = 140.1 ft²

stuck on question x/-4 -5=4

Answers

x/-4 -5=4
*-4 *-4 *-4
x+20=-16
x=-36

How is the expression (5 + y) ⋅8 described by its factors and terms?

It has two factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has two terms.
It has two factors and the factor (5 + y) has two terms.

Answers

It has two factors and the factor (5+y) has two terms.

The factors are the two things that are multiplied together to make the expression. In this expression, (5+y) and 8 are multiplied, so these are the two factors.

The factor (5+y) has two terms, 5 and y.

Please help me!!!!!

Question: Kara and Steven are biking around a 1,800 kilometer path. They start biking from the same place, at the same time, and in the same direction. Kara bikes at a speed of 15 km/h and Steven bikes at a speed of 30 km/h. How long will it take before Steven and Kara will be at the same place of the path next time?

Answers

Answer: 120 hours

============================================================

Explanation:

The path is 1800 km. Kara's speed is 15 km/h. If this speed is held the same throughout the path, then it will take her d/r = 1800/15 = 120 hours to travel the entire path until she gets back to her starting point.

For Steven, it takes him d/r = 1800/30 = 60 hours to make the same journey.

The LCM of 60 and 120 is 120

Every 120 hours, both Kara and Steven will be back at the starting point together.

Note: this is a very very large time value, and this is not considering the fact that the bikers slow down or stop to take a break.

A research company produced a study to find out what percentage of people in the state of Mississippi would purchase a new product being developed. Out of the 24 participants polled, 12 stated that they would buy the new product. The research company concluded that about 50% of the residents of Mississippi would purchase the new product. Identify a problem with the study.

Answers

The sample size is too small. The company is trying to determine the percent of people in Mississippi that would purchase the product. To make a prediction for the entire state of Mississippi, they should survey more than just 24 people. A random survey should be created and given out across the state.

The conclusion is based on a small sample.

What is the solution of the system? y = -8x - 2 and y = -6x + 4

A. (-3, 22)
B. (-8/3, 1/22)
C. (-14/3, 6/22)
D. (3/14, - 6/14)

Answers

Plug the x and y coordinates into those equations and whichever one makes sense for BOTH of the equations is a solution

Equation 1: y = - 8x - 2

Equation 2: y = - 6x + 4

Equation both equations, we get:

- 8x - 2= - 6x + 4

-8x + 6x = 4 + 2

-2x = 6

x = -3

Using the value of x in first equation, we get:

y= -8(-3) - 2 = 24 - 2 = 22

So, the solution to the given equations is (-3, 22)

So, the answer is option A

Food express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on the receipt so far 147 of the first 156 customers have not received a star in the receipts what is experimental probability of winning a free gallon of milk

Answers

Formula
P(nw) = no wins / total
no wins = 147
Total = 156

Calculation for no wins
P(nw) = 147 / 156 = 0.9423

Calculation for winners.
P(w) = 1 - 0.9423
P(w) = 0.05769

Another way.
You could calculate the winners from the total
156 - 147 = 9

P(w) = 9/156 = 0.05769 Same answer as before. Pick the method you like best.

What are the answers to problem one and to WILL GIVE BRAINLEST AND SHOW YOUR WORK

Answers

The answer is: $19.56

4 * $4.89= $19.56

Please help I’m stuck

Answers

Okay so in the little chart at the bottom of the page, the first 2 are true, and the last one is false.

I hope this helps. If it does, please rate as Brainliest

Plz show work and explain
Haley and Madison are arguing over a math problem. Haley insists that a square with a area of 196 square units is bigger than Madison’s square that has a perimeter of 196 units. Who is correct and why?

Answers

Perimeter of a square is:

4 * s

where s is the side length.

Area is:

s * s

So, we can set both of these values to 196.

4s = 196
s = 49

s * s = 196
s = 14

So, Madison is correct.

Hope this helped!

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