Divide. Express your answer in simplest form.

8 ÷ 2 4/9

Answers

Answer 1

Answer:

3 and 3/11

Step-by-step explanation:

[tex]\frac{8}{2 \frac{4}{9} } \\\\\frac{8}{ \frac{22}{9} } \\\\= 8 / \frac{22}{9} \\\\= \frac{8}{1} / \frac{22}{9} \\\\= \frac{8}{1} * \frac{9}{22} \\\\[/tex]

[tex]=\frac{72}{22} \\\\= 3 \frac{6}{22} \\\\= 3 \frac{3}{11}[/tex]

Answer 2

Step-by-step explanation:

8 ÷ 2 4/9

so, as always with operations involving fractions I recommend to convert mixed numbers to full fractions first :

2 4/9 = (2×9 + 4)/9 = (18 + 4)/9 = 22/9

the division looks then like this :

8 ÷ 22/9

or

8 / 22/9 = 8/1 / 22/9

remember, when we divide by a fraction, then this is the same as a multiplication with the upside-down fraction :

8/1 × 9/22 = 8×9 / 1×22 = 72/22 = 36/11 =

= (3×11 + 3)/11 = 3 3/11

8 ÷ 2 4/9 = 3 3/11

the symbols ÷, /, : have a little bit different semantic meaning in their context, but they all do the same thing : divide.

and they are therefore interchangeable.


Related Questions

show your work please

Answers

Answer:

Correct Answer is A

Step-by-step explanation:

5×14 = 70

using the addition law of indices

(x¹. x⁷) ( y⁰. y⁵)

Add the powers

Therefore: x^(1+7) = x⁸

y^(0+5) = y⁵

Answer: 70x⁸y⁵

Marneashia has a total of 14 chickens . If she has 2 times as many chickens as dogs write and solve an equation to determine the number of dogs she has.

Answers

The correct answer is 2x = 14; x = 7

How did we figure this out?

For this equation we are going to divide the numbers to find are answer.Divide by 2 on both sides of the equal sign, 14 divided by 2 is 7.

Therefore, The correct answer is 2x = 14; x = 7

FILL IN THE BLANK. two specific types of ____ are e-commerce systems and point-of-sale (pos) systems.

Answers

Answer:

Order entry systems

Step-by-step explanation:

Two specific types of order entry systems are e-commerce systems and point-of-sale (pos) systems.

need help please thank you

Answers

Answer:

Step-by-step explanation:

They are trying to be tricky  :DDD  but we got this.

they give you the outside angle at H, but  you know both of those two angle also add to 180

180= 131 +∠h

I'm noting that we're solving for the minor angle H of the triangle,  the inside angle

49° = ∠h

we also , know that  H and J are equal,  b/c it's got the red marks , telling us the angles are the same.

use that same strategy to solve,  

180 = 2*49 + p

180-98 = p

82 = p

Do you see where I get the equation from? ( 180 = 2*49 + p )  ?

there have been 136 earthquakes in the magnitude range 4.0-5.0 in the san francisco area over the past 30 years. what is the mean recurrence interval of earthquakes in this magnitude range?

Answers

Answer - is 0.22 years

If 50+2(4x-1)=72, then the value of x is

options are....


(a) 1

(b) 2

(c) 3

(d) 4

Answers

Answer:

C. 3

Step-by-step explanation:

First, use the distributive property. Multiply 4x and 1 each by 2.

This gives us the equation 50 + 8x - 2 = 72.

Next, subtract 2 from 50 to get 48. Subtract 2 from 2 to cancel it out.

Then, we have 48 + 8x = 72.

Subtract 48 from both sides. This leaves 8x = 24.

Divide both sides by 8 to get x = 3.

This is do today Pleaseeee helpppp

Answers

Answer:

A

Step-by-step explanation:

It is A definitely I'm sure

benjamin works as a salesperson at an electronics store and sells phones and phone
accessories. benjamin earns a $10 commission for every phone he sells and a $4
commission for every accessory he sells. On a given day, made a total of
$180 in commission from selling a total of 27 phones and accessories. Graphically
solve a system of equations in order to determine the number of phones sold, x, and
the number of accessories sold, y.
y Click twice to plot each line. Click a line to delete it.

Answers

The required number of phones and accessories sold are x = 12, y = 5,

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Let the number of phones sold be x and the number of accessories sold be y.
According to the question,
He sold a total of 27 phones and accessories,
x + y = 27 - - - - -(1)


And, made a total of $180 in commission,
10x + 4y = 180 - - - - -(2)

Graph both the equation,
From the graph, the solution of the system of equations is given as,
x = 12, y = 5,

Since, when two intersect each other, is the point of a solution of the system of equation.

Thus, the solutions gives the number of phones and accessories sold as x = 12, and y = 5.

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Find the rate of change between the points

Answers

Answer: D. 3/8

Step-by-step explanation:

The rate of change or slope is rise/run

We see that the y decreases by 9 and the x decreases by 24, so our slope is -9/-24 = 3/8 because negative and negative will be positive.

So the answer is D

Answer:

C. -3/8

Step-by-step explanation:

To find the rate of change is the same as finding the slope. To find the slope between two points you'd use the slope formula, which is y2-y1 over x2-x1.

You'd get -8-1 over -8-16. -8-1 is -9. -8-16 is -24 so you'd get -9/-24.

Because that isn't one of the answer choices you have to simplify it. To simplify it you would divide both numbers by the same number. A common number they both share is 3. So then you'd divide -9 by 3 and you'd divide -24 by 3. -9 divided by 3 is -3. -24 divided by 3 is -8 so you'd get -3/-8. Which should be C. -3/8. Because both numbers are negative the answer should have a negative sign so you'd cross b and d out. And a isn't right because the 8 is supposed to be in the denominator and not in the numerator.

(Hopefully you understood this, if not then I'm sorry.)

given the vector a⃗ =3.0i^+1.5j^, find a vector b⃗ that is perpendicular to a⃗ .

Answers

1.5i^- 3j^ is the perpendicular vector to the vector 3.0i^+1.5j^

What is perpendicular vector?

Whenever there is a 90 degree angle between two vectors, they are said to be perpendicular.  Two perpendicular vectors dot product is zero. and dot product is scaler product of 2 vectors.

Let  b = xi^+ yj^ be the perpendicular vector to a vector

and we know that 2 vectors are perpendicular if thier dot product is 0

so it implies that

b.a(dot product) =0

=> (3i^+1.5j^) . (xi^+yj^)=0

=> 3xi^.i^+ 3y i^.j^ +1.5xj^.i^+1.5yj^j^=0

=>3x+1.5y=0  ----(i)

becaus i^.j^=0 and j^.i^0

=> x= 1.5 and y=-3 satisfies equation (i).

so the perpendicular vector is 1.5i^- 3j^

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Calculate the perimeter of the irregular shape please show ur work Bc I have too !!

Answers

The perimeter of the irregular shape would be 34 cm.

What is the perimeter of any shape?

In geometry, the perimeter of a shape is defined as the total length of its boundary. The perimeter of a shape is determined by adding the length of all the sides and edges enclosing the shape.

By using the definition of the perimeter we can compute,

Perimeter = 4 + 2 + 2 + 3 + 3 + 6 + 9 + 5

                 = 34 cm.

Hence, the perimeter of the irregular shape would be 34 cm.

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What is the next step for the construction

Answers

Answer:Step 6, put the compass on point L

Step-by-step explanation:

Making a small arc from point L will make a little "X" at the point where you should draw the line through.

Answer:

See the answer above

Step-by-step explanation:

Open your eyes and direct your attention to the answer above.

if you randomly select a card from a well-shuffled standard deck of 52 cards, what is the probability that the card you select is a heart or 2? (your answer must be in the form of a reduced fraction.)

Answers

Answer:

Step-by-step explanation:

total no of outcome = 52 cards

favorable outcomes = 16 cards

probability of getting a heart or 2 = no . of favorable outcomes

                                                           no . of total outcomes

                                                        = 16 = 4

                                                           52    13

3 2/5 divided by 4/5

Answers

Answer:

17/4

Step-by-step explanation:

3 2/5 divided by 4/5 =

(3 2/5) / (4/5) =

(3 + 2/5) / (4/5) =

(15/5 + 2/5) / (4/5) =

((15+2)/5) / (4/5) =

(17/5) / (4/5) =

5*(17/5) / (5*(4/5)) =  ==> multiply 17/5 and 4/5 by 5 to remove fractions

17/4  ==> simplified form

Which of these values for P and a will cause the function f(x)-Pa to be an
exponential growth function?
O
○ A P = 1²; a = 2
OB. P= 5; a = 1
C. P = 5; a = 1/1/2
○ D. P= 1/2; 0 = 1/1/2

Answers

The values of P and a that will make f(x)=Pa^x to be an exponential growth function is; A P = 1²; a = 2

How to identify an exponential growth function?

The general formula for exponential growth function is;

y = a(b)ˣ

When a is a positive value and 'b' is the base greater than 1,

In order to represent exponential growth, a must be a positive number larger than 1.  If a is a fraction less than 1, we are basically taking a percent (less than 100) of the number and this will make it smaller, which would the become a decay function.  If a is a negative, the values would alternate between positive and negative.

The only option where a is a positive number larger than 1 is P = 1²; a = 2

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Alda is measuring the growth of a plant. Its initial height was 14 centimeters (cm), and the plant has consistently grown 32 cm each day.

Which linear equation represents the plant height, (y), after a given number of days, (x)?

Answers

Answer:

Step-by-step explanation:

y=32x+14

I got this equation because the initial height is the starting so that would be the y-int which comes after the slope, the slope is 32 because it says that the plant has grown that amount of centimeters each day, and each day should refer to the rate meaning slope. That would be the equation that you would use to find the plant's height after a given number of days,

For example..

y=32(5) + 14

I plugged in a 5 for x meaning 5 days. so you'd multiply 32 by 5 which is 160 and then you'd add 14 and you'd get 174. Meaning that after 5 days the plant has grown 174 cm...

(hopefully that helps a bit..if not then I'm sorry)

Cian is buying movie tickets for a group. He wants to have at least 30 tickets and spend no more than $400. Adult tickets cost $12.50 and child tickets cost $7.50. Which system of inequalities can be used to find the number of each type of ticket Cian could buy?

A. x + y ≥ 30
7.5x + 12.5y ≤ 400

B. x + y ≤ 30
7.5x + 12.5y ≥ 400

C. x + y ≥ 30
7.5x + 12.5y ≥ 400

D. x + y ≤ 30
7.5x + 12.5y ≤ 400​

Answers

The system of linear inequalities for each ticket is (a) x + y ≥ 30, 7.5x + 12.5y ≤ 400

How to determine the system of linear inequality that describes the situation.

From the question, we have the following parameters that can be used in our computation:

Budget = No more than $400Tickets = At least 30Children (x) = $7.50Adults (y) = $12.50

When the total number of tickets is represented as an equation/inequality, we have

x + y ≥ 30

For the spendings, we have

7.5x + 12.5y ≤ 400

So, we have the following representations (inequality)

x + y ≥ 30

7.5x + 12.5y ≤ 400

Hence, the system of linear inequalities is (a)

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two numbers have a sum of 30,000 if 7% of the first number is added to 10% of the second, the result is 2,400. find the numbers

Answers

The numbers x and y values are the integer x = 29,288 and y = 713.

What is a linear equation?

Ax+By=C represents a two-variable linear equation in its standard form.

A linear equation with one variable has the conventional form Ax + B = 0. x is a variable, A is a coefficient, and B is constant in this situation.

An equation is used to show the relationship between variables, and numbers.

Let's call the two numbers x and y, where x is the first number and y is the second number. We are given that x + y = 30,000 and that 0.07x + 0.1y = 2,400.

Using substitution, we can solve for one variable in terms of the other and then substitute this expression into the other equation.
From the first equation, we can solve for y: y = 30,000 - x
Substituting this expression into the second equation, we get:
0.07x + 0.1(30,000 - x) = 2,400
0.07x + 3,000 - 0.1x = 2,400
Combining like terms, we get:
-0.03x = -600
Dividing both sides by -0.03, we get:
x = 20,000
Substituting this value back into the first equation, we can solve for y:
y = 30,000 - x
y = 30,000 - 20,000
y = 10,000
Therefore, the two numbers are x = 20,000 and y = 10,000.
Alternatively, we could have used elimination to solve the system. We can do this by adding the two equations together:
x + y = 30,000
0.07x + 0.1y = 2,400
0.07x + 0.1y + x + y = 30,000 + 2,400
0.17x + 1.1y = 32,400
Dividing both sides by 0.17, we get:
x + 6.47y = 190,588
Multiplying both sides of the first equation by 6.47, we get:
6.47x + 6.47y = 194,490
Subtracting the second equation from the first, we get:
5.47y = 3,902
Dividing both sides by 5.47, we get:
y = 712.5
Substituting this value back into the first equation, we can solve for x:
x = 30,000 - y
x = 30,000 - 712.5
x = 29,287.5

Since x and y must be positive integers, we can round these values to the nearest integer to get x = 29,288 and y = 713. These values are very close to the actual solution, which is x = 20,000 and y = 10,000. This is because we introduced some error when we divided both sides of the equation 0.17x + 1.1y = 32,400 by 0.17.
Hence, the numbers x and y values are the integer x = 29,288 and y = 713.

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Answer this quick please

Answers

The graph of g is the graph of f translated 3 units right. Option C is the answer

How determine how the graphs of f(x) = 2x + 1, and g(x) = 2(x + 3) + 1 compare?

In geometry, a translation is a type of transformation that involves moving a geometric figure from one location to another without changing its size, shape, or orientation.

Remember, in the cartesian plane or graph, the movement in x-axis is either to the left (negative) or right (positive).

Since f(x) = 2x + 1, looking at g(x) = 2(x + 3) + 1, you will notice that 3 is added to the value x. This is a movement in the positive x-axis (right translation) and the translation is by 3 units.

Therefore, the graph of g is the graph of f translated 3 units right

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Find the reciprocal of -1

Answers

The reciprocal value of -1 is 1/-1 which is equal to -1.

What is Fraction?

A fraction represents a part of a whole.

We need to find the reciprocal of -1.

The reciprocal (or multiplicative inverse) of a number is whatever value must be multiplied to that number to equal 1.

Let a be a number and b be its reciprocal.

So ab=1

b=1/a

Substitute for a.

b=1/-1

b=-1

Hence, -1 is the reciprocal of -1.

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Trader Joe's sold 3481 bags of tortilla chips recently. If 2173 of these bags were fat free, find the percent that were fat free. Round your answer to the nearest percent.

Answers

To find the percent of bags of tortilla chips that were fat free, we need to divide the number of fat-free bags by the total number of bags and multiply the result by 100%.

The percentage of bags that were fat-free is:

(2173 fat-free bags / 3481 total bags) * 100% = 62.72%

Rounded to the nearest percent, the percentage of bags that were fat-free is 63%.

Answer: About 62%

Step-by-step explanation: About 62% of the bags were fat-free. I hope this helps ;)

. about 19% of young adults have high blood pressure. consider the proportion of people with high blood pressure in random samples of 45 young adults. what is the standard deviation of this sample proportion?

Answers

The standard deviation of the sample proportion is 10.

In math standard deviation is defined as the statistical measure of diversity or variability in a data set.

Here we have given that about 19% of young adults have high blood pressure. consider the proportion of people with high blood pressure in random samples of 45 young adults.

And we need to find the the standard deviation of this sample proportion

Let us assume the expected population standard deviation to be 10, and employing t-distribution to estimate sample size, the study would require a sample size of: 44 to estimate a mean with 67% confidence and a precision of 1.5.

Which means that, if you select a random sample of 44 from a population, and determine the mean to be say y, you would be 67% confident that the mean in the population lies somewhere between y - 1.5 and y + 1.5.

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What’s a? Please help!!

Answers

Answer:

a = - 3

Step-by-step explanation:

r² - 6r + 9

consider the factors of the constant term (+ 9) which sum to give the coefficient of the r- term (- 6)

the factors are - 3 and - 3 , since

- 3 × - 3 = + 9 and - 3 - 3 = - 6 , then

r² - 6r + 9

= (r - 3)(r - 3)

= (r - 3)² ← in the form (r + a)²

with a = - 3

HELPPPP
find three consecutive integers such that the sum of twice the second and three times the third is five less than six times the first.

Answers

Answer:

13, 14, 15

Step-by-step explanation:

The three integers are consecutive so let those integers be x, (x+1), (x+2)

As per the question,

2(x+1) + 3(x+2) = 6x-5

or, 2x+1+3x+6 = 6x-5

or, 8+5 = 6x-5x

or, x = 13

So, x+1 = 13+1 = 14

x+2 = 13+2 = 15

2.
12
Bo
5
13

Which measures shown in the triangle are
equivalent to ? (MGSE9-12.G.SRT.6)
5
13
A. sin a Only
B. cos ß Only
C. sin a and cos B
D. sin ß and cos a

Answers

on solving the provided question, we can say that - 5/13 measure shown in the triangle are equivalent to sin [tex]\alpha[/tex] and cos [tex]\beta[/tex].

what are trigonometric functions?

Trigonometry uses the first six fundamental trigonometric functions. Trigonometric ratios are these functions. The six fundamental trigonometric functions are the sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function. A right-angled triangle's side ratio corresponds to the trigonometric functions and identities. In order to determine the sine, cosine, tangent, secant, and cotangent values, trigonometric formulae are applied to the perpendicular side, hypotenuse, and base of a right triangle.

as cos x = base/ hypotenuse

and, sin x = perpendicular/ hypotenuse

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How many ways can 4 people each choose a piece of cake from 7 total (no sharing).

Answers

The number of ways 4 people each choose a piece of cake from 7 total is 840.

What is the Permutations?

Permutations are different ways of arranging objects in a definite order. It can also be expressed as the rearrangement of items in a linear order of an already ordered set. The symbol nPr is used to denote the number of permutations of n distinct objects, taken r at a time.

Given that, 4 people each choose a piece of cake from 7.

We know that, P(n,r) = n!/(n-r)!

Here, P(7, 4) =7!/(7-4)!

= (7×6×5×4×3!)/3!

= 7×6×5×4

= 840

Therefore, the number of ways 4 people each choose a piece of cake from 7 total is 840.

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(T/F) in slicing, if the end index specifies a position beyond the end of the string, python will use the length of the string instead.

Answers

True, If the end index for slicing specifies a location after the end of the alphabet, Python will use the list's length instead.

What is slicing?

In Python, there is a concept of string, list and tuples. Sometimes it is required to access part of those string, list and tuples. This is known as slicing.

In case of slicing, suppose the the end index specifies a position beyond the end of the list, Python will return to the default length of the string. So there will be no error if the end index specifies a position beyond the end of the list.

So the above sentence is a true sentence.

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The price of licorice is proportional to its length. It costs $0.50 to buy 5in. How much licorice can you get for $1.80

Answers

Answer: 18in

Step-by-step explanation:

0.50x 3 = 1.50

50 divided by 5 is 10

1in every 10 cent

The midpoint of AB is MI(-2, -6). If the coordinates of A are (1, -4), what are
the coordinates of B?

Answers

Your coordinates for B would be (-5,-8)

Carly took a total of 15 quizzes over the course of 5 weeks. How many weeks of school will Carly have to attend this quarter before she will have taken a total of 24 quizzes? Assume the relationship is directly proportional.​

Answers

Answer:

Carly will have to attend school for 8 weeks before she takes a total of 24 quizzes.

Step-by-step explanation:

To determine the number of weeks Carly will have to attend school before she takes a total of 24 quizzes, we need to first calculate the proportion of quizzes taken to weeks attended by dividing the number of quizzes taken by the number of weeks attended:

Proportion = Number of quizzes taken / Number of weeks attended

Proportion = 15 quizzes / 5 weeks

Proportion = 3 quizzes / week

Next, we can use this proportion to calculate the number of weeks Carly will have to attend school before she takes 24 quizzes by multiplying the number of quizzes Carly wants to take by the reciprocal of the proportion:

Number of weeks = Number of quizzes / Proportion

Number of weeks = 24 quizzes / 3 quizzes/week

Number of weeks = 8 weeks

Therefore, Carly will have to attend school for 8 weeks before she takes a total of 24 quizzes.

She would have to attend a total of 8 weeks. So only 3 more classes because they take 3 quizzes a week
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