What is 3/4 of 8/9? Make sure the answer is fully reduced.

Answers

Answer 1

Answer:

[tex]\frac{2}{3}[/tex]

----------------------------------------------------------------------------------------------------------

Solve

"Of" means to multiply, so start off the equation multiplying the top numbers by the top numbers, and the bottom numbers by the bottom numbers as though they are whole numbers.

[tex]\frac{3*8}{4*9} = \frac{24}{36}[/tex]

Find the greatest common factors of 24 and 36, starting with 24

     24:  1, 2, 3, 4, 6, 8, 12, 24

     36:  1, 2, 3, 4, 6, 9, 12, 18, 36

As shown, the greatest common factors are 12, so divide by 12 to simplify.

[tex]\frac{24 / 12}{36/12} = \frac{2}{3}[/tex]

Two-thirds cannot be simplified, so that will be your final answer.


Related Questions

WILL GIVE BRANLIEST
Which number is irrational? Question 2 options:
A fraction
A terminating decimal
The square root of an imperfect square
Zero

Answers

Answer:

The square root of an imperfect square

Step-by-step explanation:

Write the correct ratio (fraction) for each triangle.

Answers

Answer:

21/20

20/29

21/20

20/29

21/29

20/21

Step-by-step explanation:

Use Soh Cah Toa for each, using the right equation for the right angle

e.g for sin(z) we use the opposite/adjacent for that angle

the hypotenuse is the biggest sizethe opposite is the side opposite to the angle you are usingthe adjacent is the other side

HELP ME!!!!!!
The data represents the yearly salary, in thousands of dollars, for 9 managers.

{68, 54, 104, 183, 72, 84, 75, 108, 71}

What is the five-number summary?


A. Minimum = 54Q1= 69.5Median = 75Q3= 106Maximum = 183

B. Minimum = 54Q1= 72Median = 74.5Q3= 104Maximum = 183

C. Minimum = 54Q1= 71Median = 74.5Q3= 108Maximum = 183

D. Minimum = 54Q1= 70Median = 74.5Q3= 106Maximum = 183

Answers

Answer:

A. Minimum = 54, Q1= 69.5, Median = 75, Q3= 106, Maximum = 183

Step-by-step explanation:

Arranging the data set in order from least to greastest we get:

54, 68, 71, 72, 75, 84, 104, 108, 183

From this, we can see that the minimum value is 54 and the maximum value is 183.

Taking a number off one by one on each side of the data set gives the median. In the middle lies 75, so that is our median

To find quartile ranges, split the data set into two where the median lies, then, find the median of those two data sets. The medians will be the values of the upper (Q3) and lower quartiles (Q1).

Q1: 54, 68, 71, 72

68 + 71 = 139
139 ÷ 2 = 69.5

-----

Q3: 84, 104, 108, 183

104 + 108 = 212

212 ÷ 2 = 106

Option A is the only answer with all of these values, therefore, it is the answer.

hope this helps!


Find the measurement of the missing angle of this quadrilateral.

Answers

Answer:

x= 81°

Step-by-step explanation:

the interior angles of a quadrilaterial add up to 360°

143+80+56+x=360

condense left side: 279+x=360

isolate x: 279-279+x=360-279

x= 81°

What is the area of the trapezoid at the right

Answers

Answer:

144

Step-by-step explanation:

8•6 because two triangles make a square and they are the same size, so there is no need to divide by half

then 8•12 for the square in the middle

Which of the following are factors of 6x^2+30x-36? Select all that apply.
Answer choices:
1. X-1
2. X+2
3. 2
4. 3
5. X+6
6. X-6
7. X-2

Answers

Answer:

Step-by-step explanation:

Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=4/3x

Answers

Answer:

Step-by-step explanation:

The a line that is perpendicular to the reference line will have a slope that is the negative inverse of the slope of the reference line.  We'll look for a line that has the form y=mx+b, where m is the slope and b is the y-intercept. The reference line y=(4/3)x has a slope of (4/3) and a y-intercept of 0 (it crosses the y axis at x = 0).  

The negative inverse the the slope (4/3) would be -(3/4).

The new line will be y = -(3/4)x + b.  

To find point, use the given point and solve for b:

y = -(3/4)x + b

y = -(3/4)x + b   for point (4,2)

2= -(3/4)(4) + b

2= -3 + b

b = 5

The equation of the perpendicualr line is y = -(3/4)x + 5

See attached graph.

What is the value of x?


Enter your answer in the box.

x =


The figure shows 2 right triangles, triangle A B C with right angle B and triangle B D C with right angle D. The measure of angle B A C is 45 degrees. The measure of angle D B C is 60 degrees. The length of side C A is 6 square root 2. The length of side B D is x.

Answers

Answer:

x=3

Step-by-step explanation:

I took the test and I got it right but if you want an explanation  see bellow.

so triangle ABC is a 45- 45 -90 and we are given the hypotenuse of [tex]6\sqrt{2}[/tex]

and on a 45-45-90 triangle we know that the hypotenuse is always [tex]s\sqrt{2}[/tex] s  standing for the lengths of both of the legs since they are both equal, so this tells us that line segment AB and BC are equal to 6, SO triangle BCD hypotenuse is equal to 6.Triangle BCD is a 60-90-30 triangle as we can tell by the measures given, and in a 60-90-30 triangle the hypotenuse is equal to S and it's shorter length known as line segment BD on this triangle is equal to [tex]\frac{s}{2}[/tex] and since we know s=6 we can do [tex]\frac{6}{2}[/tex] giving us our answer 3.

Using the sine ratio and the cosine ratio, the value of x in the given triangle is calculated as: x = 6.

How to Find the Value of x?

Using the sine ratio, find BC:

sin ∅ = opposite/hypotenuse

Given the following:

∅ = 45°

hypotenuse = 6√2

opposite = BC

Substitute:

sin 45 = BC/6√2

sin 45 = BC/6√2

√2 = BC/6√2 [sin 45 = √2]

BC = √2 * 6√2

BC = 12 units

Use the cosine ratio to find x:

cos ∅ = adjacent/hypotenuse

Thus, we have:

cos 60 = x/12

1/2 = x/12 [cos 60 = 1/2]

2x = 12

x = 6.

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find a three-digit number, which is 5 times greater than the product of its digits

Answers

Answer:

175

Step-by-step explanation:

How would one find a three-digit number which is 5 times as large as the product of its digits?

100a + 10b +c = 5abc

This shows that c must be a multiple of 5. Since it is a digit, c=5 ( c=0 does not work ).

Then:

100a + 10b + 5 = 25ab

This again shows that 10b+5 is a multiple of 25.

By testing all the digits, b=2 or b=7.

If b=2, then

100a + 25 = 50a

which has the solution a= -1/2, not a digit.

if b=7

100a +75 = 175a

Now the solution is a=1, so finally the number is 175. Indeed, 175 = 5*1*7*5.

Does that answer your question..?

write the equation polynomial whose graph contains the points (1,0),(-5,0),(-2,0),(-4,30)

Answers

Answer:

y = 3(x - 1)(x + 5)(x + 2)

Step-by-step explanation:

Given points:   (1, 0)   (-5, 0)   (-2, 0)   (-4, 30)

x-intercepts are when y = 0

Therefore, the x-intercepts are x = 1, x = -5 and x = -2

So (x - 1), (x + 5) and (x + 2) are all factors of the polynomial.

Therefore, the equation of the polynomial is:

y = a(x - 1)(x + 5)(x + 2)  where a is a constant to be found

To find the constant a, input the point (-4, 30) into the equation and solve:

⇒ a(-4 - 1)(-4 + 5)(-4 + 2) = 30

⇒ a(-5)(1)(-2) = 30

⇒ 10a = 30

⇒ a = 3

Therefore, the equation of the polynomial is:

y = 3(x - 1)(x + 5)(x + 2)


What is the probability of rolling numbers that add to 8 when rolling two standard number cubes? Use the chart to help you solve the problem

A 7/36
B 5/36
C 11/26
D 1/6

Answers

Answer:

It's 3/18 becasue in total there are 18 choices but only 3 add up to 8

Please help. Will mark brainlyest!

Answers

shape c meaning you can only fold it once and it will be the same on either side

what is the simplest way to explain how to do this?

Answers

Answer:

96

Step-by-step explanation:

area of a triangle = h x b/2 which means ill do

8 x 8 = 64

then 64/2

32

8x8 (again) = 64

64+32 = 96

Answer:

96 in^2. Find the area of the square, then the area of the triangle. After that, add them together.

Step-by-step explanation:

First, let's find the area of the square:
A = lw
A = 8 x 8
A = 64

Now, let's find the area of the triangle.
A = 1/2lh
A = 1/2(8)(8)
A = 1/2(64)
A = 32

Now, all we have to do is add 64 and 32 to get the total area

64 + 32 = 96

what is 339.12 rounded to the nearest hundreth

Answers

Answer:

339.12 rounded to the nearest hundreth is 339

Because the hundreth place right now is 1 so anything below five keep the same

Please consider brainliest <3

Step-by-step explanation:

Answer: 339.10

Step-by-step explanation: The value of 2 is the hundredth and it is rounded up to 0

Maria bought 3 books for a total of $26. 25. How much did each book cost?

Answers

Answer:

Step-by-step explanation:

To find the unit rate , divide the total cost by number of books

Cost of 1 book = 26.25 ÷  3

                        = $ 8.75

Question -:

Maria bought 3 books for a total of $26. 25. How much did each book cost ?

Explanation -:

In this question it is given that Maria bought 3 books and the cost of 3 books is $26.25. We are asked to calculate the cost of 1 book.

We can find the cost of 1 book by dividing the total cost by number of books.

Cost of 1 book = $26.25 ÷ 3 = [tex]\dfrac{26.25}{3}[/tex] = 8.75

Verifying -:

Cost of 1 book = $8.75

Cost of 3 books = 8.75 × 3 = $26.25

Hence, proved

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Problem
The following shape has 111 pair of parallel sides.

What is the area of the shape?

Answers

Answer:

56

Step-by-step explanation:

First I would get the area of the entire figure as if it were a Rectangle

10x7 = 70 Area if the figure was a rectangle.

We can form a triangle with the cut out space, the height of the triangle is 10-6 which is 4 and has a base of 7.

7x4= 28

28/2 = 14 Area of triangle cutout

Now you subtract the two figures

70-14= 56

56 Is the area

The area of the given shape is 56 square units.

What is an area?

The quantity of space within a two-dimensional figure or form is measured by its area. It is a number that describes the size or extent of a surface, like the surface of a flat plane or the contours of an area on a map.

First I would get the area of the entire figure as if it were a Rectangle

10x7 = 70 Area if the figure was a rectangle.

Form a triangle with the cutout space, the height of the triangle is 10-6 which is 4, and has a base of 7.

7 x 4= 28

28/2 = 14 Area of triangle cutout

Now you subtract the two figures

70-14= 56 Square units

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which transformation of y = f(x) moves the graph 9 units to the left and 5 units down

Answers

Answer:

y=f(x+9)-5

Step-by-step explanation:

to move the graph 9 units to the left, you would need to add 9 to the variable (which is x) - so that transformation for y=f(x) would look like this:

y=f(x+9)

then, to move the graph 5 units down, you would need to subtract 5 from f(x), so the transformation for y=f(x) that moves the graph 5 units down would be:  

y=f(x)-5

now, you would put that all together and it would look like this:

y = f (x+9) -5

i hope this helps.

dimentions 1m by 0.6m by 0.3m. density 2.7g/cm3 what is the mass

Answers

Answer:

486kg

Step-by-step explanation:

please solve the given problem

Find the value of x and y
If

5x-2y=0
5x+10y=100

Answers

Answer:

The answer is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

x = 10/3 , y = 25/3

Step-by-step explanation:

Let's solve your system by substitution.

5x−2y=0 ; 5x+10y=100

Step 1: Solve 5x−2y=0 for x:

5x−2y=0

5x−2y+2y=0+2y (Add 2y to both sides)

5x=2y

5x=2y

5x/5=2y/5 (Divide both sides by 5)

x=2y/5 (Simplify)

Step 2: Substitute 2y/5 for x in 5x+10y=100:

5x+10y=100

5 2/5y +10y=100

12y=100 (Simplify both sides of the equation)

12y/12=100/12 (Divide both sides by 12)

y=25/3

Step 3: Substitute 25/3 for y in x=2/5y

x=2/5y

x=2/5 * 25/3

x=10/3 (Simplify both sides of the equation)

At the end we have the following answers :

x = 10/3

y = 25/3

How does g(t)=20.9t change over the interval from t=2 to t=3?

Answers

[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ g(t)= 20.9t\qquad \begin{cases} t_1=2\\ t_2=3 \end{cases}\implies \cfrac{g(3)-g(2)}{3-2}\implies \cfrac{20.9(3)~~ - ~~20.9(2)}{1} \\\\\\ 62.7~~ - ~~41.8\implies 20.9[/tex]

Paula bicycled for 20 minutes and covered 5 miles. What is her speed in miles per hour?

Answers

In four minutes, Paula covered one mile. Because one hour is equivalent to 60 minutes, we can divide 60 by 4 to get the amount of miles she covered in an hour. 60 / 4 = 15, which means that Paula’s speed is 15mph.

What is the answer ?

Answers

Answer:

The answer for Q35 is : 176 cubic feet

Step-by-step explanation:

V = 16×3×2+16×5

= 96 + 80

= 176 cubic feet

The area of the base of a cone is 36π square centimeters. The height of the cone is 20 centimeters. What is the closest to the volume of the cone?
A.740 cm ³
B.750 cm ³
C.800 cm ³
D.775 cm ³

Answers

Answer:

the answer is d because i have dont it b4

Step-by-step explanation:

How would you solve 3 little 6 divided by 3 little -2

Answers

Answer:

[tex]3^{6-(-2)}[/tex]

Step-by-step explanation:

[tex]~~3^6 \div 3^{-2}\\\\\\=\dfrac{3^6}{3^{-2}}\\\\\\=3^{6-(-2)}[/tex]

Use the rule y = -2x + 5 to answer the questions below.
a. What is the slope of the line?

Answers

Answer:

-2

Step-by-step explanation:

Slope-intercept form: y = mx + b, in which:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

~

Note the numbers that replace the given variables:

y = mx + b ; y = -2x + 5

y = y

m = slope = -2

x = x

b = y-intercept = 5

-2 is your answer for slope.

~

Answer:

The slope is -2.

Step-by-step explanation:

I hope this helps! :)
The formula is y=mx+b, where m (in the place of -2) is the slope.

Systolic blood pressure for a group of women is normally distributed, with a mean of 121 and a standard deviation of 9. Find the probability that a woman selected at random has the following blood pressures. (Round your answers to four decimal places.) (a) greater than 136 (b) less than 114 (c) between 114 and 128

Answers

the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.

What is a Z-table?

A z-table also known as the standard normal distribution table, helps us to know the percentage of values that are below (or to the left of the Distribution) a z-score in the standard normal distribution.

Given the mean is 121 while the standard deviation of the women is 9. Therefore, Using the z-table, the probability can be found.

(a) The probability that a woman selected at random has blood pressures greater than 136.

[tex]P(x > 136) = 1 - P(x < 136)\\\\P(x > 136) = 1 - P(z < \dfrac{x-\mu}{\sigma})[/tex]

                  [tex]=1 - P(z < \dfrac{136-121}{9})\\\\=1 - P(z < 1.667)\\\\=1-0.9515\\\\=0.0485[/tex]

(b) The probability that a woman selected at random has a blood pressure less than 114.

[tex]P(x < 114)= P(z < \dfrac{114-121}{9})\\\\[/tex]

                  [tex]= P(z < -0.77)\\\\= 0.2206[/tex]

(c) The probability that a woman selected at random has a blood pressure between 114 and 128.

[tex]P(114 < x < 128)= P(\dfrac{114-121}{9} < z < \dfrac{128-121}{9})\\\\[/tex]

                  [tex]= P(-0.77 < z < 0.77)\\\\= P(z < 0.77)-P(z < -0.77)\\\\= 0.7794 - 0.2206\\\\=0.5588[/tex]

Hence, the probability that a woman selected at random has a blood pressure between 114 and 128 is 0.5588.

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T.True F.False While on your Limited Learner Permit (Level 1), you are required to keep a Driving Log and record a minimum of 60 hours of driving time.

Answers

It is true that you are required to keep a Driving Log and record a minimum of 60 hours of driving time, while on level 1

How to determine the truth value?

There are 5 requirements a driver must fulfil before progressing to level 2 of learner permit.

One of these requirements is that the driver must spend at least 60 hours driving.

This means that the minimum driving time is 60 hours

Hence, the statement is true

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If Deb cleans a 9100 square foot building for a total of $306.00, what is the amount Deb gets paid for a building half that size? (Hint: You will need to calculate the square footage of the building before you set up the ratio.)
A. 4550

B. 153

C. 306

D. 4397

Answers

Answer:

Answer choice B: 153

Step-by-step explanation:

Now, write 21j+56k in factored form .

Answers

Answer:

7(3j+8k)

Step-by-step explanation:

If the radius of the planet is given by R, and the height above the surface is given by h, use the figure below, and the Pythagorean Theorem to derive the formula for the distance, d, to the horizon tangent point, assuming that the triangle is a right triangle.

Please answer the second one too

Answers

Applying the pythagroean theorem, the formula to find the horizontal distance, d, is: [tex]\mathbf{d = \sqrt{h^2 - R^2} }[/tex]

What is the Pythagorean Theorem?

The pyhagroean theorem is given as, c² = a² + b², where h is the longest side of the right triangle.

Given  the following:

c = ha = db = R

The formula derived would be:

h² = d² + R²

Make d the subject fo the formula

[tex]\mathbf{d = \sqrt{h^2 - R^2} }[/tex]

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