Find the quotient of 2 2 3 and 3 1 2 Give your answer as a fraction in its simplest form.

Answers

Answer 1

The correct answer is:  " [tex]\frac{16}{21}[/tex] " .

_______

Step-by-step explanation:

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

               " [tex]\frac{(2\frac{2}{3})}{(3\frac{1}{2})}[/tex]   "  ;

_______

" [tex]2\frac{2}{3} = \frac{[(3*2)+2]}{3} = \frac{(6+2)}{3} = \frac{8}{3}[/tex]  " .

_______

" [tex]3\frac{1}{2} = \frac{[(2*3)+1]}{2} = \frac{(6+1)}{2} = \frac{7}{2}[/tex]  " .

_______

→  "  [tex]\frac{(2\frac{2}{3})}{(3\frac{1}{2})}[/tex]  " ;

          [tex]} = \frac{8}{3}[/tex] ÷ [tex]\frac{7}{2}[/tex]  ;

Note that "dividing by a value"  results in the same value as "multiplying by the reciprocal of that value" ;

  The reciprocal of:  " [tex]\frac{7}{2}[/tex] " ;  is:  " [tex]\frac{2}{7}[/tex] " ;

_______

         [tex]= \frac{8}{3} *\frac{2}{7}= \frac{(8*2)}{(3*7)} = \frac{16}{21}[/tex] ;  which cannot be further reduced as a fraction.

_______

The correct answer is:  " [tex]\frac{16}{21}[/tex] " .

_______

Hope this is helpful!

 Best wishes to you!

_______


Related Questions

PLEASE HELP!!

f(-4) = -5, f(2) = -3

Answers

Answer:

sorry really dont know

Step-by-step explanation:

oof ima try tho give me min

This is what I got it’s in point-slope form right now, but you can get y alone if you need it in slope-intercept form

$60.20 is what percent of $78?

Answers

Answer:

78% × 60.2 = (78/100) × 60.2 = 46.956

Hey can anyone help pls and thank you

Answers

Answer:

5x+28=7x-4

5x+32=7x

32=2x

x=16

Hope This Helps!!!

Answer:

x = 16

Step-by-step explanation:

(7x - 4) and (5x + 28) are alternate exterior angles and are congruent, so

7x - 4 = 5x + 28 ( subtract 5x from both sides )

2x - 4 = 28 ( add 4 to both sides )

2x = 32 ( divide both sides by 2 )

x = 16

What is 3.435 rounded to the nearest hundredth?
Submit

Answers

3.44 would be the answer

Help help help pleaS

Answers

1728÷3=576.

Step-by-step explanation:

u can check a calculator. I hope I am correct,please give brainliest answer to me.

Answer:

[tex] \sqrt[3]{1728 } = 12[/tex]

please mark me as brainlest

Determine whether the following value could be a probability. 0.56

Answers

Answer: Yes 0.56 could be a probability

Explanation:

The value 0.56 is between 0 and 1, which is a key important characteristic of any probability. It's the same as saying 56% is between 0% and 100%; where 0% represents the event not happening and 100% means the event is guaranteed to happen.

REASONING A student claims that the next number in the pattern
1, 2, 4, ... is 8, because each number shown is two times the previous
number. Is there another description of the pattern that will give the
same first three numbers but will lead to a different pattern? Explain.
1347

Answers

Answer:

Step-by-step explanation.

Yes, there is another description of the pattern that will give the same first three numbers but will lead to a different pattern.

How can the pattern be described differently?

While the student's claim of each number being two times the previous number holds true for the first three numbers (1, 2, and 4), there could be an alternative pattern such as an arithmetic progression.

If we consider the pattern as an arithmetic sequence with a common difference of 1, the first three numbers will be 1, 2 and 4 but the subsequent numbers in the pattern would differ as the arithmetic sequence would continue as 1, 2, 3, 4, 5,.....

Read more about arithmetic progression

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Solve the right triangle shown in the figure. Bc =3.2m angle b = 43.2 degrees angle c = 90 degrees

Answers

Answer:

the missing angle is 46.8

Step-by-step explanation:

since all the angles in a triangle add up to 180, you can do the sum of the numbers that we know and subtract by 180

43.2+90= 133.2

180-133.2=46.8

so the missing angle is 46.8

we cant solve the sides of the triangle correctly without at least two known sides, and we only have one.

i hope this helps :)

The sides of the right triangle are AB = 2.27 m, BC = 3.2 m, and AC = 3.62 m.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We are given that Angle B = 43.2 degrees, Angle C = 90 degrees and Side BC = 3.2 m

First, we can use the fact that the sum of the angles in a triangle is 180 degrees to find angle A:

Angle A = 180 degrees - Angle B - Angle C

Angle A = 180 degrees - 43.2 degrees - 90 degrees

Angle A = 46.8 degrees

Next, we can use the sine ratio to find the length of side AB:

sin(A) = opposite / hypotenuse

sin(46.8 degrees) = AB / 3.2 m

AB = sin(46.8 degrees) x 3.2 m

AB = 2.27 m

Finally, we can use the Pythagorean theorem to find the length of side AC:

AC² = AB² + BC²

AC²  = (2.27 m)² + (3.2 m)²

AC² = 13.15 m²

AC = sqrt(13.15) m

AC = 3.62 m

Therefore, the sides of the right triangle are AB = 2.27 m, BC = 3.2 m, and AC = 3.62 m.

To learn more on trigonometry click:

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2 4/3 divided by 6 7/8

Answers

Answer:

16/33

Step-by-step explanation:

2 4/3 --> 10/3

6 7/8 --> 55/8

10/3 / 55/8

10/3 x 8/55

80/165 --> divide by 5

16/33

Answer:

[tex]\frac{16}{33}[/tex]

Step-by-step explanation:

When you're having trouble dividing, use the "keep, change, flip" method. First reduced the fractions:

2 4/3 --> 10/3

6 7/8 --> 55/8

The problem should not be: [tex]\frac{10}{3}[/tex] ÷ [tex]\frac{55}{8}[/tex]

For "keep, change, flip", keep [tex]\frac{10}{3}[/tex] as normal, change the division symbol into a multiplication symbol (it's opposite), and flip [tex]\frac{55}{8}[/tex] to make [tex]\frac{8}{55}[/tex]

The problem should now be: [tex]\frac{10}{3}[/tex] × [tex]\frac{8}{55}[/tex]

Now multiple to get: [tex]\frac{80}{165}[/tex]

And reduce to get: [tex]\frac{16}{33}[/tex]

Please help!!! Please please please

Answers

8.4
triangle ABC is 1.2 times bigger than triangle XYZ
10 x 1.2 = 12
5 x 1.2 = 6
so 7 x 1.2 = 8.4

help me pls pls I need help​

Answers

Answer:

3572 m^3

Step-by-step explanation:

volume of prism = Ah

where A = area of the base, and

h = height of the prism

The base is a regular hexagon. We are given the side length, 8.1 m, and the apothem, 7 m.

A = nsa/2,

where n = number of sides,

s = length of one side

a = apothem

volume = Ah

volume = nsa/2 * h

volume = 6(8.1 m)(7 m)/2 * 21 m

volume = 3572.1 m^3

Answer: 3572 m^3

The difference between three times a number and five more than two times the number

Answers

Answer:

3x - (2x + 5)

X represents any number so 3 times a number is 3x. and 5 more than 2 times a number is 5 plus 2x. And the difference between the two is 3x - (5 + 2x)

Hello, need help pls.

Answers

Answer:

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x = 180 - (66+70)

= 180-136

x= 44°

Sara wants to find the input value that produces the same output for the functions represented by the tables.

What is the input value that produces the same output value in both charts?

–2
–1
1
2

Answers

Answer

The right answer is 2.

Step-by-step explanation:

As g(x) = 2x - 3

g(2) = 2(2) - 3

      = 4 - 3

      = 1

where, f(2) = g(2)

so 2 is the correct answer.

Answer:

2 its 2 trust me its 2

Step-by-step explanation:

2 cus i know its 2 cus im asian

I need help with this

Answers

Answer:

12=34+45

Step-by-step explanation:

34+12=34

Determine which lines are parallel and which lines are perpendicular

Line a: 3x + y = 7
Line b: 6x + 2y = -8
Line c: -x + 3y = 6

m ᵃ =
m ᵇ =
m ᶜ=

Answers

Postulates:

• Parallel lines have the same slope, but different y-intercepts, because they start at different locations and stay the same slope next to each other for infinity.
• Perpendicular Lines have a negative reciprocal slope of the original line’s slope.

Solving:

We want the lines to be in slope l-intercept form: y=mx+b to determine the slope and y-intercept.

Line a: 3x+y=7 —> 3x-3x+y=7-3x —> y=-3x+7

Line b: 6x+2y=-8 —> 6x-6x+2y=-8-6x —> 2y=-6x-8 —> 2y/2=-6/2x+8/2 —> y=-3x+4

Line c: -x+3y=6 —> -x+x+3y=x+6 —> 3y/3=x/3+6/3–> y=1x/3+2.

Line a and b have the same slope of -3x with different y-intercepts; therefore, they are PARALLEL.

Line c has a different slope than lines a and b, so it is not parallel. Let’s see if it’s perpendicular to lines a and c.

Perpendicular lines have a negative reciprocal slope from the original line. Here’s the formula: y=x/z+b ——> y=-z/x+b

Line a: y=-3x+y

Line b: y=-3x+4

Line c: y=1x/3+2.

Let’s plug line a into the formula to see if the result is the slope of line c:

y=x/3+2 ——> y=-3/x+2.

Therefore, lines a and b are PERPENDICULAR to line c.

Feel free to give Brainliest!

pls help with this asap!!!

Answers

4x4x4=64

20-64=-44

Answer = -44

Step-by-step explanation:

please mark me as brainlest

2 raised to power (4_6x) =8(1-x)​

Answers

Answer:

Step-by-step explanation:

[tex]2^{4-6x}=8^{1-x}\\\\2^{4-6x}=(2^{3})^{1-x}\\\\2^{4-6x}=2^{3*(1-x}}\\\\2^{4-6x}=2^{3-3x}[/tex]

Bases are equal, so compare the powers,

4 - 6x = 3 - 3x

Subtract 3 from both sides,

4 - 3 - 6x = -3x

1 - 6x = -3x

Add 6x to both sides

1 = -3x+ 6x

1 = 3x

Divide both sides by 3

1/3 = x

x = 1/3

4x-2y=8(x-3)

x= ?
y= ?

Answers

x = -6 y/2

y = -2x + 12

hope that helped

A pole that is 2.6 m tall casts a shadow that is 1.38 m long. At the same time, a nearby building casts a shadow that is 50.75 m long. How tall is the building?​

Answers

Answer:

The building is 95.6159m tall.

Step-by-step explanation:

Both the pole and the building should have the same ratio of height to shadow length so we can come up with the equation:

[tex]\frac{2.6}{1.38}[/tex] = [tex]\frac{x}{50.75}[/tex]

Then solve for x, it will correspond to the height of the building.

x = 50.75([tex]\frac{2.6}{1.38}[/tex])

x = 95.6159m

2 compact discs for $26.50

Answers

Answer:

$13.25

Step-by-step explanation:

I’m assuming you want to find the unit rate for 1 disc. All you have to do is do $26.50 divided by 2 to find out the price for one disc. $26.50 divided by 2 is $13.25, meaning 1 disc costes $13.25. Therefore, the answer is $13.25

Answer: $13.25




Step by step Explanation:

7)
A right triangle can be formed using three sides having lengths 18 inches, 24 inches, and
=))
A)
12 inches
B)
15 inches.
o
16 inches
D)
30 inches
8)
mall

Answers

Answer:

30 in

Step-by-step explanation:

the bottom needs to be longer

Please Don't Give A Meme Answer (I've asked this question for the fifth time)

The figure shows the movement of a pedestrian as she walks from point B to point E. Write a formula for function d(t) for each section: BC, CD, and DE.

Answers

For BC:

d(t) = 40 - 5t

For CD:

d(t) = 20

For DE:

d(t) = 50 - 5t

Need some help on this question please provide evidence on how you came up with the answer aswell.

Answers

Answer:

76

Step-by-step explanation:

So in 2014 there are 40 then the next year it increases by 6 then the next 8, then 10. Every year it goes up the same amount the previous year did plus 2. So for 2018 its 64 plus 12

True or False, when graphing an inequality that has no solutions, you shade the entire number line.

Answers

Answer:

True or False

2. When graphing inequalities, a dashed line is used for < or > signs.

True or False

3. If you were to graph x > 6, the circle would be closed and to the left.

True or False

4. On a number line, if you were to graph an equation with a less than sign or a great than sign, < or > respectively, you would use an open circle

True or False

Ms. Martinez bought 1/2 pound of pecans. She used 3/4 of the pecans in a cookie recipe. How many pounds of pecans did Ms. Martinez use?
A 1/8

B 1/4

C 3/8

D 4/6

Answers

Answer:

c

Step-by-step explanation:

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Answer:

c

Step-by-step explanation:

HELP PLEASE THIS IS DUE TMR. You have to answer 4 out of the 6 questions please help. I will give brainiest to the best answer that helps me or just any answer pleas

Answers

Answer:

Answer to question 1 is 190 small pumpkins and 160 large pumpkins.

Answer to question 4 is 7 bags.

Step-by-step explanation for question 1:

190 = Small pumpkins

160 = Large pumpkins

190+160 = 350

So If you do 190 x 2 = £380

and 160 x 5 = £800

and 800+ 380 = £1,180

So Sal sold 190 small pumpkins and 160 large pumpkins!

Step By Step explanation for question 4:

£3.77x7= 26.39

£3.18x5=15.9

26.39+15.9 = 42.29.

So he bought 7 bags of £3.77 for his candys !

Please help with this parallelogram
! :)

Answers

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The statement which proves ABCD is a parallelogram is :

Both pairs of opposite sides are parallel

Show that the points A (0, 2), B (4, 2), C (1, -3), and D (-3, -3) are the vertices of a parallelogram

Answers

Answer:

Step-by-step explanation:

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