Two students use different methods to solve this multiplication problem:
3/4*-4 2/9
Read each of their methods below and then enter numbers to correctly complete their
work.

Two Students Use Different Methods To Solve This Multiplication Problem:3/4*-4 2/9Read Each Of Their

Answers

Answer 1

Answer/Step-by-step Explanation:

Given, [tex]\frac{3}{4}*-4\frac{2}{9}[/tex]

Ivy solves this problem by writing each number as a fraction and then multiplies as shown below:

[tex] \frac{3}{4}*-4\frac{2}{9} = \frac{3}{4}* -\frac{38}{9} [/tex]

[tex] = \frac{3}{4}*-\frac{38}{9} = -\frac{3*38}{4*9} = -\frac{1*19}{2*3}[/tex]

[tex]= -\frac{19}{6}[/tex]

Fabian solves this problem by writing the mixed number as a sum and applies the distributive method of multiplication as shown below:

[tex] \frac{3}{4}*-4\frac{2}{9} = \frac{3}{4}(-4 + -\frac{2}{9}) [/tex]

[tex] = \frac{3}{4}*-4 + \frac{3}{4}*-\frac{2}{9} [/tex]

[tex] = -\frac{3}{1} + \frac{1}{2}*-\frac{1}{3} [/tex]

[tex] = -3 + (-\frac{1}{6}) [/tex]

[tex] = -3 - \frac{1}{6} = -3\frac{1}{6} [/tex]


Related Questions

Ocean sunfishes are well-known for rapidly gaining a lot of weight on a diet based on jellyfish. The relationship between the elapsed time, ttt, in days, since an ocean sunfish is born, and its mass, M_{\text{day}}(t)M day ​ (t)M, start subscript, start text, d, a, y, end text, end subscript, left parenthesis, t, right parenthesis, in milligrams, is modeled by the following function: Mday(t)=3.5⋅(1.05)t Complete the following sentence about the weekly rate of change in the mass of the sunfish. Round your answer to two decimal places. Every week, the mass of the sunfish increases by a factor of .

Answers

Answer:

1.4071

Step-by-step explanation:

The relationship between the elapsed time, t in days, since an ocean sunfish is born, and its mass is given by:

[tex]M_{day}(t)=3.5(1.05)^t[/tex]

This function represents an exponential growth increasing as the number of days increases since (3.5 > 1), it means that at day 0 , the mass of the sunfish is 3.5 milligrams and every day, its mass increases by a factor of 1.05.

Since the mass of the sunfish increases by [tex]1.05^t[/tex], therefore the mass of the sunfish increases every one week (that is 7 days) by a factor of [tex]1.05^{7} = 1.4071[/tex]

PLESSE HELP THANKS SO MUCH

Answers

Answer:

b is ur answer mate ....

plz help me Identify the domain and range of relation ({3,-2),(8,1),(-9,2),(1,8)}

Answers

Answer:

domain { -9,1,3,8)

range{ -2,1,2,8}

Step-by-step explanation:

The domain is the inputs

Domain = 3,8,-9,1

We write them in the order from smallest to largest

domain { -9,1,3,8)

The range is the outputs

Range  = -2,1,2,8

We write them in the order from smallest to largest

range{ -2,1,2,8}

Un cultivo de bacterias crece y se duplica cada dos horas .¿Cu`antas veces mas grande sera el numero de bacterias en 12 horas?El numero inicial es X. Expresa usando potencias ayuda profis es para hoy ; )

Answers

Responder:

64 visitas

Explicación paso a paso:

Dado lo siguiente:

Número inicial de bacterias = x

Tasa de crecimiento = se duplica cada dos horas

¿Cuántas veces mayor será la cantidad de bacterias en 12 horas?

La cantidad de veces (n) en las que la cantidad de bacterias se duplica:

n = 12 horas / período de tasa de crecimiento

n = 12/2 = 6

Eso significa que el crecimiento de bacterias se duplicará 6 veces en 12 horas.

Por lo tanto, la cantidad de bacterias después de 12 horas será:

Después del 1er período = x * 2 = 2x

2do período = 2 ^ 2 * x = 4x

Después de n período

= 2 ^ n * x

Después de 6 períodos:

2 ^ 6 * x = 64x

Número de veces que las bacterias serán mayores en 12 horas:

Inicial = final

x = 64x

Comparando ambos

Las bacterias serán 64 veces más grandes después de 12 horas.

What is the slope of the line given by the equation y = 4x? Enter your answer as an integer or fraction in lowest terms.

Answers

Answer:

slope =  4

Step-by-step explanation:

recall that for a linear equation in the form:

y = mx + b,

m = slope of line and b is the y-intercept.

In our case, we are given

y = 4x

If we compare this with the general equation above,

we can see that m = 6 and b = 0

hence slope = m = 4

please help :) Studies involving humans or animals are conducted under strict policies and procedures. This solution addresses which limitation? A) size of the system B) ethical concerns C) lack of proper equipment D) limited amount of time

Answers

Answer:

B

Step-by-step explanation:

Ethical concerns!

Good luck on your assignment hope this helps!:)

use order operation

Answers

Answer:

The correct answer is the final option, 2.

Step-by-step explanation:

[(16+4) - 10] - 8

Our first step in this problem, according to the order of operations, is to simplify what is inside the parentheses.  Since there are multiple sets of parentheses, we must simplify the innermost group first.  If we add 16 and 4, we get:

[20 - 10] - 8

Next, we must perform the subtraction inside the parentheses.  This gives us:

10 - 8

Now, we can perform the final operation.  

10 - 8 = 2

Therefore, the correct answer is 2.

Hope this helps!

Briefly describe this graph of a Femis wheel.


Answers

Answer: This is a periodic relation.

Step-by-step explanation:

This is a periodic relation, that can be modeled with a sinusoidal relation, that relates the height as a function of time.

Then we can write this as h(t) = A*sin(C*t + F) + B

Where A is the amplitude, C is a constant that depends on the period, F is a phase shift, and B is the midpoint of the function.

2*A is the distance between the maximum height and the minimum height.

B is the middle height of the Femis Wheel.

Please answer this question now

Answers

Answer:

112°

Step-by-step explanation:

By inscribed angle theorem:

[tex] m\widehat {BCD} = 2\times m\angle BAD\\

\therefore m\widehat {BCD} = 2\times 129\degree \\

\therefore m\widehat {BCD} = 258\degree\\\\

\because m\widehat{CD} = m\widehat {BCD}-m\widehat{BC} \\

\therefore m\widehat{CD} = 258\degree - 146\degree \\

\huge \red {\boxed {\therefore m\widehat{CD} = 112\degree}} [/tex]


Find the co-ordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by
segment joining (4,1) and (8,3).​

Answers

The coordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by segment joining (4,1) and (8,3). is (6.4, 2.2)

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The equation of the line passing through (4,1) and (8,3) is:

y - 1 = [(3 - 1)/(8 - 4)](x - 4)

y = 0.5x - 1

The line perpendicular to y = 0.5x - 1 has a slope of -2. It passes the point (6, 3), hence:

y - 3 = -2(x - 6)

y = -2x + 15

The line y = 0.5x - 1 and y = -2x + 15 intersect at point (6.4, 2.2)

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Find the edge length of a cube if the surface area is 565.7 m².
0 9.71 m
9.48 m
0 10.31 m
10.97 m
None of the above

Answers

Answer:

9.71 m

Step-by-step explanation:

Surface area of cube is given by 6a^2 where a is the edge length.

Given

Surface area  =565.7 m²

let a be the edge length of required cube

then

6a^2 = 565.7 m²

=> a^2 = 565.7 /6 m² = 94.28

=> a = [tex]\sqrt{94.28}[/tex] = 9.71

Thus, first option  9.71 m is correct choice.

What will be the effect on the graph of y = |x| if x is replaced with -x?
A. a vertical shift
B. no change
C. a reflection over the x-axis
D. a horizontal shift of 1 unit to the left

Answers

The vertical lines on each side of the x mean it is the absolute value of x.

Replacing x with -x would make no change on the graph, because the absolute value is always a positive number.

The answer is B.

There will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.


What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The vertical lines on each side of the x mean it is the absolute value of x. Replacing x with -x would make no change on the graph because the absolute value is always a positive number.

Therefore, there will be no change on the graph of y = |x| if x is replaced with -x. Option B is correct.

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Answer ASAP, Will give brainliest

Answers

Answer:

Step-by-step explanation:

1) ABCD is a trapezium. AB ║ CD

∠ADC + ∠DAB  = 180°  { Co interior angles}

110° + ∠DAB = 180

         ∠DAB = 180 -110

∠DAB = 70°

2) Sum of all angles of trapezium = 360°

∠A + ∠B + ∠DCB + ∠D = 360

70° + 50° + ∠DCB + 110° = 360

                 230 + ∠DCB = 360

                            ∠DCB = 360 - 230

∠DCB = 130°

3) For finding the height, use Pythagorean theorem

height² + base² = hypotenuse²

      height² + 6² = 10²

      height² + 36 =100

               height² = 100 - 36

              height² = 64

               height = √64

height = 8 m

4) a = AB = x m

  b = 9 m

h = height = 8 m

Area of trapezium = 120 m²

[tex]\frac{(a+b)*h}{2}\\\\[/tex]  = 120

[tex]\frac{(x+9)*8}{2} =120\\\\\\(x +9)*4 = 120[/tex]

x + 9 = 120/4

x + 9 = 30

    x = 30 - 9

x = 21 m

AB = 21m

                             

Given quadrilateral ABCD, where the diagonals AC and BD intersect at point E. AE≅EC and BE≅DE Can you prove can you prove that the figure is a parallelogram? Explain. A. Yes; two opposite sides are both parallel and congruent. B. Yes; diagonals of a parallelogram bisect each other. C. Yes; opposite sides are congruent. D. No; you cannot determine that the quadrilateral is a parallelogram.

Answers

Answer:

B. Yes; diagonals of a parallelogram bisect each other.

Step-by-step explanation:

The diagonals of a parallelogram bisect each other. If the diagonals of a quadrilateral bisect each other, the quadrilateral is a parallelogram.

Answer: B. Yes; diagonals of a parallelogram bisect each other.

If AE=EC and BE=DE then quadrilateral ABCD is a parallelogram because  diagonals of parallelogram bisect each other.

What is parallelogram?

A parallelogram is a 2 dimensional figure whose opposite sides are equal to each other and parallel to each other. Area of parallelogram is base*height.

How to prove quadrilateral a parallelogram?

To be parallelogram ΔAEB and ΔEDC should be congruent.

Angle AEB= Angle DEC

AE=EC

DE=EB

so both triangles are congruent by side, side, angle.

Similarly AE=EC , DE=EB and vertical angles AED= Vertical angle BEC.

Therefore triangle AED and BEC are congruent and that makes all their corresponding sides are also congruent.

And AB=DC.

Hence both pairs of opposite sides of a quadrilateral are congruent ,then the quadrilateral is a parallelogram.

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Explain how to solve a system of three equations using the elimination method.

Answers

Step-by-step explanation:

You can solve a system of three equations by multiplying each equation by a number that allows you to add or suvtract the same equation together by eliminating the x or y variable

Answer:

To use elimination to solve a system of three equations with three variables, follow this procedure:

Write all the equations in standard form cleared of decimals or fractions.

Choose a variable to eliminate; then choose any two of the three equations and eliminate the chosen variable.

Select a different set of two equations and eliminate the same variable as in Step 2.

Solve the two equations from steps 2 and 3 for the two variables they contain.

Substitute the answers from Step 4 into any equation involving the remaining variable.

Check the solution with all three original equations.

Step-by-step explanation:

HELLLOPPPPPPP HELPPP ASAPPP PLEASE !!

Answers

Answer:

10 = c

Step-by-step explanation:

Distribute -4 to the parentheses:

8 = 8c - 4(c + 8)

8 = 8c - 4c - 32

Add like terms:

8 = 4c - 32

Add 32 to both sides:

40 = 4c

10 = c

Answer:

Question:

8=8c-4(c+8)

Step-by-step explanation:

8=8c-4c-32

8=4c-32

8+32=4c

40=4c

Or

4c=40

c=10

State whether the given measurements determine zero, one, or two triangles. A = 58°, a = 25, b = 28

Answers

Answer:

1

Step-by-step explanation:

I believe it is 1. Just picture or draw a diagram of the constraints. Don't quote me on this though...

Answer:

Step-by-step explanation:

apply sine formula

[tex]\frac{a}{sin ~A} =\frac{b}{sin~B} \\\frac{25}{sin~58} =\frac{28}{sin ~B} \\sin~B=\frac{28}{25} \times sin~58\\B=sin^{-1} (\frac{28}{25} \times sin ~58)=71.77 \approx 72 ^\circ[/tex]

so third angle=180-(58+72)=180-130=50°

∠C=50°

[tex]cos ~C=\frac{a^2+b^2-c^2}{2ab} \\or ~2abcos~C=a^2+b^2-c^2\\2*25*28*cos ~50=25^2+28^2-c^2\\c^2=625+784-1400 *cos~50\\c^2=1409-899.90\\c^2=509.1\\c=\sqrt{509.1} \approx 22.56 \approx 22.6[/tex]

so one triangle is formed.

Review what you know about products and sums represented by rectangular area models. [5 points] Use algebra tiles to multiply (x-1)(3x+2).

Answers

(x - 1)(3x + 2)
= 3x^2 + 2x - 3x - 2
= 3x^2 - x - 2

3x^2 - x - 2

What are some ways to solve an equation?

Different ways to solve equations. We have 4 ways of solving one-step equations: Adding, Substracting, multiplication, and division. If we add the same number to both sides of an equation, both sides will remain equal.

How do you evaluate an equation?

∫ y2+y−2dy ∫ y 2 + y − 2 d y∫ 2 1 y2 +y−2dy ∫ 1 2 y 2 + y − 2 d y∫ 2 −1 y2 +y−2dy ∫ − 1 2 y 2 + y − 2 d y

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

= 3x^2 + 2x - 3x - 2

= 3x^2 - x - 2

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3(q−7)=27 need help plzz 1st peep gets brainlest

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

q = 16

▹ Step-by-Step Explanation

3(q - 7) = 27

3q - 21 = 27

Add 21 to both sides:

21 + 21 = na

27 + 21 = 48

3q = 48

Divide both sides by 3:

3/3 = q

48/3 = 16

q = 16

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

q=16

Step-by-step explanation:

3q-21=27

27+21=48

48/3=16

hey can someone help me out here because i dont know none of this

Answers

Answer:

x = 0

Step-by-step explanation:

In order for this to be a function there has to be an x and y pair.  You cant have 2 different x values correlate to 1 y value.  The only number not used on the table of value is 0

Therefore the value of x is 0

Answer: B. x = 0

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

Explanation:

The table shows the inputs of -5, -1, x, 1 and 3. Ignore the x for now. The numerical inputs are -5, -1, 1, 3

If we have any input repeat itself with a different paired y value, then we will not have a function.

So if x = -5, then we don't have a function. This is because x = -5 is already paired with y = 4 in the top row. We can't have the input x = -5 lead to y = 0 at the same time. Any input must lead to exactly one output only. So this rules out choice A as a possible answer.

Choice C and choice D are eliminated for similar reasons as well. This leaves choice B. We don't have x = 0 yet, so it is a valid possible input. We can pick any thing we want for x as long as its not already done so in the table.

Helpp pleasee asap!!

Answers

Answer:

114,112,coA,ce 58,124,DFA,EOB

Shaquira is baking cookies to put in packages for a fundraiser. Shaquira has made 86 8686 chocolate chip cookies and 42 4242 sugar cookies. Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies. What is the greatest number of identical packages that Shaquira can make?

Answers

Answer: 2

Step-by-step explanation:

Given: Shaquira has made 86  chocolate chip cookies and 42 sugar cookies.

Shaquira wants to create identical packages of cookies to sell, and she must use all of the cookies.

Now, the greatest number of identical packages that Shaquira can make= GCD of 86 and 42

Prime factorization of 86 and 42:

86 = 2 ×43

42 = 2 × 3 × 7

GCD of 86 and 42 = 2   [GCD = greatest common factor]

Hence, the greatest number of identical packages that Shaquira can make =2

In the expression 3v - 8, what is the variable a= V b= - c= 3 d= 8

Answers

Answer:

a. v

Step-by-step explanation:

Given

[tex]3v - 8[/tex]

Required

Identify the variable

Literary, variable means things that change in values;

Going by this definition, we have that:

3 -> This is not a variable because its value will always be 3

v -> This is a variable because its value can change once its value changes, the result of the expression will also change

- -> This is not a variable; it is an arithmetic operator to subtract

8 -> This is not a variable because its value will always be 8

Take for instance

[tex]v = 2[/tex]

[tex]3v - 8 = 3 * 2 - 8 = 6 - 8 = -2[/tex]

When [tex]v =5[/tex]

[tex]3v - 8 = 3 * 5 - 8 = 15 - 8 = 7[/tex]

Notice that there's a difference in both results;

This is as a result of v being a variable

find the empirical formula of the compound containing 2.4 gram of carbon, 6.4 gram of oxygen and 0.2 gram of hydrogen ​

*sorry its chemistry*

Answers

Answer:

Empirical formula= COOH

Step-by-step explanation:

Molecular mass of the elements

Carbon= 12

Oxygen= 16

Hydrogen= 1

We divide the elements each with their molecular formula

Carbon= 2.4/12

Carbon= 0.2

Oxygen= 6.4/16

Oxygen= 0.4

Hydrogen= 0.2/1

Hydrogen= 0.2

Now we divide with the smallest result which is 0.2

Carbon= 0.2/0.2

Carbon = 1

Oxygen= 0.4/0.2

Oxygen= 2

Hydrogen= 0.2/0.2

Hydrogen= 1

So we have

Carbon 1, oxygen 2, hydrogen 1

Empirical formula= COOH

I WILL MAKE BRIANLIEST PERSON BRIANLY. HAALP!!!!!

Answers

Answer:

she did not randomly select enough students

Step-by-step explanation:

there is too much of an area for mistakes in this experiment as the teacher could unknowingly have a bias in terms of choosing a female student.

Nina is training for a marathon. She can run 4 1/2​ kilometers in 1/3​ of an hour. At this pace, how many kilometers can Nina run in 1 hour?

Answers

Answer:

Nina can run:

13 1/2 km in 1 hour

Step-by-step explanation:

4 1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2

proportions:

9/2 hours ⇔  1/3 hour

N hours ⇔ 1 hour

N = (9/2)*1 / (1/3)

N = (9/2) / (1/3)

N = (9*3) / (2*1)

N = 27/2

27/2 = 26/2 + 1/2 = 13 + 1/2 = 13 1/2

Nina can run:

13 1/2 km/h

13 1/2 km in 1 hour

Nina can run [tex]13\frac{1}{2}[/tex] km in an hour

The distance Nina can run in an hour can be determined by dividing the distance she can run in 1/3 of an hour by 1/3

Distance Nina can run in an hour = distance run ÷ [tex]\frac{1}{3}[/tex]

[tex]4\frac{1}{2}[/tex] ÷ [tex]\frac{1}{3}[/tex]

Convert the mixed fraction to an improper fraction [tex]\frac{9}{2}[/tex] × 3 = [tex]\frac{27}{2}[/tex]

Convert the improper fraction back to an mixed fraction = [tex]13\frac{1}{2}[/tex] km

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Divide a 7-inch line into three parts so that each part is 1 inch longer than one before it.

Answers

Answer:

Hey there!

We can write an equation:

x+x+1+x+2=7

3x+3=7

3x+4

x=4/3

The lines are 4/3, 7/3, and 10/3.

Let me know if this helps :)

It is 8th grade math please get it right. My Dad gave this to me

Answers

Answer:

A=535.93

Step-by-step explanation:

A=P(1+r)^t

A=500[(1+0.07/4)]^4

A=535.93

A class sold tickets to their school play. Each of the 232323 students in the class sold 444 tickets. The cost of each ticket was \$7$7dollar sign, 7. How much money did the class earn by selling tickets to the play?

Answers

Answer:

722059884 if there are 232323 students

if there are 23 students its 71484

Step-by-step explanation:

hope this helps

Answer: The answer is 644

Step-by-step explanation:

23x4x7=644

Helpppp pleaseeeeee!!!

Answers

Answer: yes.

Step-by-step explanation:

Answer: Yes

The roll of the dice is a random process that Jon has no control over (this is assuming the dice is fair of course). Whoever is selected first is not selected again, so the probability for the second selection will increase as there is a smaller pool of people to pick from.

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