MATHEMATICS MIDDLE SCHOOL

12 2/3 ^ 2 1/3what is 12 2/3 divided by 2 1/3 ​

Answers

Answer 1
Answer:

Answer:

(12 2/3)/( 2 1/3)= 38/7 or 5 3/7 or 5.43 decimal

Step-by-step explanation:

Simplify the following:

(12 + 2/3)/(2 + 1/3)

Put 2 + 1/3 over the common denominator 3. 2 + 1/3 = (3×2)/3 + 1/3:

(12 + 2/3)/((3×2)/3 + 1/3)

3×2 = 6:

(12 + 2/3)/(6/3 + 1/3)

6/3 + 1/3 = (6 + 1)/3:

(12 + 2/3)/((6 + 1)/3)

6 + 1 = 7:

(12 + 2/3)/(7/3)

Put 12 + 2/3 over the common denominator 3. 12 + 2/3 = (3×12)/3 + 2/3:

((3×12)/3 + 2/3)/(7/3)

3×12 = 36:

(36/3 + 2/3)/(7/3)

36/3 + 2/3 = (36 + 2)/3:

((36 + 2)/3)/(7/3)

36 + 2 = 38:

(38/3)/(7/3)

Multiply the numerator by the reciprocal of the denominator, (38/3)/(7/3) = 38/3×3/7:

(38×3)/(3×7)

(38×3)/(3×7) = 3/3×38/7 = 38/7:

Answer:  38/7

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45/54 in simplest form

Answers

The fraction 45/54 is equivalent to 5/6.
This is a PROPER FRACTION once the absolute value of the top number or numerator (45) is smaller than the absolute value of the bottom number or denomintor (54).
The fraction 45/54 is equal to 45÷54 and can also be expressed in decimal form as 0.833333, but as a fraction 5/6

0.346 rounded to the nearest hundredth

Answers

The required rounded value of 0.346 to the nearest hundred is 0.35.

How to round the nearest hundred?

To round to the nearest hundred, you need to look at the digit in the thousandth place, which is 5 in this case. If the digit in the thousandth place is 5 or greater, you round up, otherwise, you round down.

We have to determine a value of 0.346 that rounded to the nearest hundredth

To round down, simply remove all the digits after the hundredth place, so in this case, 0.346 rounded to the nearest hundred is equal to 0.35, which is equal to 0.35.

So, the rounded value of 0.346 to the nearest hundred is 0.35.

Learn more about approximation here:

brainly.com/question/11863074

#SPJ2

0.35 is rounded to the nearest hundredth           3would be in the tenth place 4is in the hundredth  place  6is in the thousandths place hope this helps

Evaluate B2 for B = 9.

18

81

92

​

Answers

The answer is 18 because if u put the 2 and put the 9 right next to it and you multiply it you get 18

Answer:

The answer is 81 because 9x9=81

Step-by-step explanation:

What is the solution to the inequality-2x-3y>9

Answers

Answer:

y  <  −  2x/3 −3

Hope This Helps!

A cone and cylinder have the same height and the same base radius. If the volume of the cylinder is 81 cm^3 what is the volume of the cone in cm^3?A) 9
B) 27
C) 78
D)243

Answers

Answer:

The volume of the cone is 27cm^3

Step-by-step explanation:

We know that formulas

Volume of cylinder is

V_1=\pi r^2 h

Volume of cone is

V_2=(1)/(3)\pi r^2 h

we are given

A cone and cylinder have the same height and the same base radius

So, both will have same radius and height

now, we can find ratios

(V_2)/(V_1)=((1)/(3)\pi r^2h )/(\pi r^2h)

now, we can simplify it

(V_2)/(V_1)=(1)/(3)

we are given

the volume of the cylinder is 81 cm^3

so, V_1=81

now, we can plug it and solve for V2

(V_2)/(81)=(1)/(3)

81* (V_2)/(81)=81*(1)/(3)

V_2=27

So, the volume of the cone is 27cm^3

PLEASE HELP! Find the distance between each pair of points. Round your answers to the nearest tenth.a. C(-5, -3), D(-4, -2)

b. Y(3.5, 1), Z(-4, 2.5)

Answers

a.
Distance = √((x_2 - x_1)^2+(y_2 - y_1)^2)\n\n = √(\left( -4 - \left( -5 \right) \right)^2 + \left( -2 - \left( -3 \right) \right)^2) \n \n = √( 1 + 1) \n \n = √( 2 )

b. 
Distance = √((x_2 - x_1)^2+(y_2 - y_1)^2)\n\n = \sqrt{\left( -4 - ( 7 )/( 2 ) \right)^2 + \left( ( 5 )/( 2 ) - 1 \right)^2} \n \n= \sqrt{ ( 225 )/( 4 ) + ( 9 )/( 4 )} \n \n= 3 (√( 26 ))/( 2 )
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