Which of these fractions below are equivalent to 3/4?
A) 12/16
B) 6/8
C) 15/20
D) 20/28
E) 24/32

A? B? C? D? OR E?



5 starts the first person to answer me!!!

[tex]\maltese \: \: \underline{\underline{\frak{Understanding~the~question :-}}} \\ \\[/tex]

For solving this question, we will take the help of the branch of mathematics that studies the sizes of different shapes may they be 2D or 3D, called mensuration.

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There are two parts in the question, in the first part we have been asked to calculate the ratio of the total surface area of the two cubes, for that we will calculate their total surface areas and divide them in order to calculate the ratio. In the second part, we have been asked to calculate the ratio of the volume of the two cubes, and in order to calculate the ratio, at first we will calculate the volumes of the respective cubes and then divide them. And, thus, in this way, we will get our required answer.

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[tex] \maltese \: \underline{ \underline{ \frak{Given :-}}} \\ \\ [/tex]

Two cubes in which the sides measure,

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[tex] \maltese \: \: \underline{ \underline{ \frak{Formula~Applied :-}}} \\ \\ [/tex]

[tex] \bigstar \begin{cases} \sf 1.~Volume_{cube} = {a} ^3\\ \\\sf 2.~T.S.A._{cube} = 6{a}^2\end{cases} \\ \\ [/tex]

[tex] \maltese \: \underline{ \underline{ \frak{Solution :-}}} \\ \\ [/tex]

Calculating the total surface areas,

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[tex] \sf \longrightarrow TSA \: of \: A = 6( {1)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow TSA \: of \: A =6 \times 1 \: \: \: \\ \\ \\ \sf \longrightarrow TSA \: of \: A = {6 \: inch}^{2} \\ \\ [/tex]

[tex]\sf \longrightarrow TSA \: of \: B =6 {(10)}^{2} \: \: \: \: \: \: \\ \\ \\\sf \longrightarrow TSA \: of \: B =6 \times 100 \: \: \: \\ \\ \\ \sf \longrightarrow TSA \: of \: B = {600 \: inch}^{2} \\ \\ [/tex]

Thus, now we can calculate the ratio,

⠀

[tex]\sf \longrightarrow Ratio = \dfrac{TSA~of~A} {TSA~of~B} \\ \\ \\ \sf \longrightarrow Ratio = \dfrac{6}{600} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio = \cancel \dfrac{6}{600} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio = \dfrac{1}{100} \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio =1 : 100 \: \: \: \: \: \: \\ \\ [/tex]

Thus, the ratio of the total surface area of the cubes is 1 : 100. Now, moving to the second part of the question, and calculating the volume of the cubes, we have,

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[tex]\sf \longrightarrow Volume \: of \: A= {(a)}^{3 } \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: A= {(1)}^{3} \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: A= {1 \: inch}^{3} \\ \\ [/tex]

[tex]\sf \longrightarrow Volume \: of \: B = {(a)}^{3} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: B = {(10)}^{3} \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Volume \: of \: B = {1000 \: inch}^{3} \\ \\ [/tex]

Now, calculating the ratio,

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[tex]\sf \longrightarrow Ratio =\dfrac{Volume ~of~A} {Volume~of~B} \: \: \\ \\ \\ \sf \longrightarrow Ratio = \dfrac{ {1 \: inch}^{3} }{1000 \: {inch}^{3} } \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio = \cancel\dfrac{ {1 \: inch}^{3} }{ {1000 \: inch}^{3} } \: \: \: \: \: \\ \\ \\ \sf \longrightarrow Ratio =1 : 1000 \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Thus, the ratio of the volume of the cubes is 1 : 1000.

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[tex] \underline{ \rule{227pt}{2pt}} \\ \\ [/tex]

Answer:

6

Step-by-step explanation:

140+8X=50+23X

8X-23X=50-140

-15X=-90

X=-90/-15

X=6 TRIPS IS THE ANSWER.

PROOF:

140+8*6=50+23*6

140+48=50+138

188=188

Answer:

4805.38

Step-by-step explanation:

982×5.47=5371.54

598×78=46,644

5371.54-46644=4805.10

4805.10+28=4805.38

Work Shown:

(90 lawns)/(45 hours) = (12 lawns)/(x hours)

90/45 = 12/x

2 = 12/x

2x = 12

x = 12/2

x = 6

It takes 6 hours to mow 12 lawns.

Answer: 6.32

Step-by-step explanation: 6 days a week in 4weeks Is 24days

Divide the total distance by 24

Answer:

[tex]4x^2+6x-3[/tex]

Step-by-step explanation:

"/" substitutes the normal division symbol

                  [tex]4x^2[/tex] [tex]+6x[/tex] [tex]-3[/tex]

         ______________

[tex]x-2/4x^3-2x^2-15x+6[/tex]

         [tex]4x^3[/tex] [tex]-8x^2[/tex]

______________________

                 [tex]6x^2[/tex]  [tex]-12x[/tex]

______________________

                         [tex]-3x+6[/tex]

x multiplied by what equals [tex]4x^3[/tex]? [tex]x(4x^2)=4x^3[/tex], so the first number that goes on top is [tex]4x^2[/tex]. Multiply x by [tex]4x^2[/tex] and put it below to the [tex]4x^3[/tex] on the first row. Multiply x-2 by [tex]4x^2[/tex] and put it below  the [tex]-2x^2[/tex] . Subtract the first row from the second row.

x multiplied by what equals [tex]6x^2[/tex]? [tex]6x[/tex]. Repeat the same process as before except with [tex]6x^2[/tex]

Answer:

6834 / 17 = 402

Step-by-step explanation:

• sorry i d k, I just got the ans on calculator

Answer:

the order that they are in right now is right

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Let's find the measure of major arc MNB:

360 - arc MB = major arc MNB

Now, let's plug in what we know:

360 - (80 + 60) = major arc MNB

Next, combine like terms, and replace "major arc MNB" with "x."

360 - 140 = x

220 = x

Now, we know that the measure of major arc MNB equals 220 degrees.

Angle MLB is going to be double the measure of major arc MNB, so let's set up an equation for this situation:

2(Angle MLB) = major arc MNB

Now, let's plug in what we know:

2(9x + 2) = 220

Finally, let's solve for x:

18x + 4 = 220

18x = 216

x = 12

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's see if the sequence is Arithmetic or Geometric :} [/tex]

[tex] \textsf{If the difference between successive terms is } [/tex] [tex] \textsf{equal then, the terms are in AP} [/tex]

[tex] \textsf{Since the common difference is same, } [/tex] [tex] \textsf{we can infer that it's an Arithmetic progression} [/tex] [tex] \textsf{with common difference of } \sf \dfrac{1}{3} [/tex]

Answer:

Arithmetic with common difference of [tex]\sf \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\textsf{Given sequence}=4, \dfrac{13}{3}, \dfrac{14}{3}, 5, \dfrac{16}{3},...[/tex]

If a sequence is arithmetic, the difference between consecutive terms is the same (this is called the common difference).

If a sequence is geometric, the ratio between consecutive terms is the same (this is called the common ratio).

[tex]\sf 4\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad\dfrac{13}{3}\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad \dfrac{14}{3}\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad 5\quad \overset{+\frac{1}{3}}{\longrightarrow}\quad \dfrac{16}{3}[/tex]

As the difference between consecutive terms is [tex]\sf \frac{1}{3}[/tex] then the sequence is arithmetic with common difference of [tex]\sf \frac{1}{3}[/tex]

General form of an arithmetic sequence: [tex]\sf a_n=a+(n-1)d[/tex]

where:

Given:

So the formula for the nth term of this sequence is:

[tex]\implies \sf a_n=4+(n-1)\dfrac{1}{3}[/tex]

[tex]\implies \sf a_n=\dfrac{1}{3}n+\dfrac{11}{3}[/tex]

Answer:

p=1000

t=5 years

r=10%

i=(ptr)/100

i=(1000×5×10)/100

i=50000/100

i=500

Answer: 1.44

Step-by-step explanation: 1.20 Is the remaining 5/6 which is 83.3%

Calculate for 100% to get actual amount

If 83.3% = 1.20

1% = 1.20/83.3

100% = 1.20/83.3 ×100/1

The original price is equal to  £7.2

1. Cost price = Selling price − profit ( when selling price and profit are given )

2. Cost price = Selling price + loss ( when selling price and loss are given )

Given here: New price =£ 1.20

let the original price be x then we have

x/6 = 1.20

x=£7.2

Hence, The original price is £7.2

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Answer: 40%

Step-by-step explanation:

Answer:

the six medals possibly be given out by three medals for girl and three medals for boy

Answer:

791.28

Step-by-step explanation:

1. 3.14*9²=254.34

2. 3.14*9*19=536.94

3. 536.94+254.34=791.28

Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.

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

From the table:

Ratio of Fuji apple trees to Gala apple trees = 160 / 120 = 4/3

Hence, for 30 new galla trees, number of Fuji trees is:

Fuji trees = (4/3) * 30 = 40

Hillsdale Orchard's owners decide to plant 30 new Gala apple trees, he needs to pllat 40 new fuji trees so as to maintain the same ratio of Fuji apple trees to Gala apple trees.

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Answer:

(0, - 6)

Step-by-step explanation:

Midpoint Formula

Solving

Answer:

The midpoint is (0, -6)

Step-by-step explanation:

Step 1:  Determine the midpoint

[tex]midpoint = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})[/tex]

[tex]midpoint = (\frac{-3 + 3}{2}, \frac{-7 + (-5)}{2})[/tex]

[tex]midpoint = (\frac{0}{2}, \frac{-7 -5}{2})[/tex]

[tex]midpoint = (0, \frac{-12}{2})[/tex]

[tex]midpoint = (0, -6)[/tex]

Answer: The midpoint is (0, -6)

Answer:

Option B - Darin scores in a basketball game is 19 Points

Step-by-step explanation:

Darin scores in a basketball game = 3s + 2t + u

where s is the number of three-point field goals made,

t is the number of two-point field goals made,

u is the number of free throws made.

Darin scores in a basketball game = 3(2) + 2(5) + 3

= 6 + 10 + 3

= 19 Points

Hope this helps!

Answer:

40 degrees

Step-by-step explanation:

if the lines are perpendicular, then they are also sharing the same line so that means, its a simple equation of 180-140=40.

Answer:

The value of angle 2 = 40°

Step-by-step explanation:

Given : angle 1 = 140°

angle 1 + angle 2 = 180° { because they are linear pair }

=> 140 + angle 2 = 180°

=> angle 2 = 180 - 140

=> angle 2 = 40°

The length of the radius of the circle with a central angle measuring 7pi/6 is 4.9cm

The formula for calculating the legnth of an arc is expressed as:

L = rtheta

r is the radius

Theta is the subtended angle

Given the following

18 = r(7pi/6)
7pi r = 18 * 6

7pi r = 108
r = 108/7pi

r = 4.9cm

Hence the length of the radius of the circle with a central angle measuring 7pi/6 is 4.9cm

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Answer:

B or 4.9cm

Step-by-step explanation:

Answer:

$ 22.38

Step-by-step explanation:

If the pre-sale price is $ 55.95

 40 % of this would be  .4 * 55.95 =  $ 22.38

Answer:

D. 5/3

Step-by-step explanation:

[tex]\frac{1/6+1/2+1/3+x}{4} =2/3[/tex]

[tex]1/6+1/2+1/3+x=8/3[/tex]

[tex]x=8/3-1/6-1/2-1/3[/tex]

[tex]x=8/3-1/6-3/6-2/6[/tex]

[tex]x=8/3-6/6[/tex]

[tex]x=16/6-6/6=10/6[/tex]

simplified

[tex]x=5/3[/tex]

Hope this helps

Answer:

the same  65 degrees

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

SohCahToa

Sin opposite/hypotenuse

Cos adjacent/hypotenuse

Tan opposite/adjacent

so if sin is 1/3 the opposite is 1 and the hypotenuse is 3

to find cos do a^2+b^2=c^2

1^2 + x^2 = 3^2

1+x^2=9

subtract 1 from both sides

x^2=8

do the square root x=2 sq root 2

that leaves u with

opposite is 1

hypotenuse is 3

adjacent is 2 sq rt 2

cos= 2 sqrt 2 / 3

tan= 1 / 2 sq rt 2 which is also eqal to sq rt 2 / 4

B

Answer:

3/2+9/9=2.5

Step-By-Step Explanation

3/2=1.5

9/9=1

1.5+1=2.5

The statistical tool for accounting for sampling error in an estimate is confidence interval.

The term sampling has to  do  with the selection of a given number of participants from the population in susch a way that reflects the population of the entire population.

Sampling is usually prone to given degree of error. The statistical tool for accounting for sampling error in an estimate is confidence interval.

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Answer:

-18x + 36 for the -6(3x-4) and 12x - 20 for the one on the image.

Step-by-step explanation:

You have 2 questions so I'll answer both of them (One written and the image as well)

-6 (3x-4)

You need to multiply -6 by 3x and -4

-18x + 36 Is the simplified version

**Remember that when multiplying two negatives they turn into a positive.

-2x (-6 + 10)

You need to multiply -2x by -6 and 10

12x - 20

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Areas and Volumes.

Area of Shaded region = Area of Square - Area of inscribed Circle.

Radius if circle = 10/2 ==> 5 units

hence,

Area of circle = 25 π units

Area of square = (10)^2 ==> 100 units

hence the area of shaded region = 100 - 25π

==> Area of shaded region = 25 (4 - π)

Correct option is G.)

The height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.

The situation forms a right angle triangle.

A right angle triangle has one of its angles as 90 degrees. The sides can be found using trigonometric ratios.

Therefore, the hypotenuse of the right triangle formed is the length of the fiberboard.

The height of the ramp formed is the opposite side of the right triangle.

Hence,

sin 19° = opposite / hypotenuse

sin 19° = h / 27

cross multiply

h = 27 × sin 19°

h = 27 × 0.32556815445

h = 8.79034017034

h = 8.79 inches.

Therefore, the height of the ramp rise from the ground at its highest end to the nearest hundredth is 8.79 inches.

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Answer:

8.79 inches

Step-by-step explanation: