what is 5/5/8 divided by 1/2/9 in simplest form

Answers

Answer 1
Final answer:

The division of 5/5/8 by 1/2/9 in simplest form is 405/88 after converting the mixed numbers to improper fractions, then multiplying by the reciprocal, and simplifying.

Explanation:

To find the simplest form of the division of two mixed numbers, first, both mixed numbers must be converted to improper fractions. Dividing by a fraction is the same as multiplying by its reciprocal. So, when dividing 5/5/8 by 1/2/9, we first turn these into improper fractions.

5/5/8 becomes 45/8 (since 5*8+5=45) and 1/2/9 becomes 11/9 (since 1*9+2=11). Now the problem is 45/8 divided by 11/9. To divide these fractions, we multiply by the reciprocal: 45/8 * 9/11 = (45*9)/(8*11) = 405/88.

To simplify 405/88, we find the Greatest Common Divisor (GCD) of the numerator and the denominator, which is 1 in this case, so the fraction is already in its simplest form, which is 405/88.

To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction. The reciprocal of 1/2/9 is 9/2/1. So, the expression becomes 5/5/8 multiplied by 9/2/1. To multiply fractions, we multiply the numerators together and the denominators together. So, (5 x 9) / (5 x 2) x 8 / 1 = 45/10 x 8/1 = 360/10 = 36.


Related Questions

A single die is rolled twice. The 36​ equally-likely outcomes are shown to the right.
Find the probability of getting two numbers whose sum is 4.

Answers

Answer:

1/12

Step-by-step explanation:

There are 3 ways to get two numbers whose sum is 4:

1 and 3, 2 and 2, and 3 and 1

So the probability is 3/36 = 1/12.

how to graph with these numbers?

Answers

Answer:

There is no numbers shown

Step-by-step explanation:

No numbers shown

Answer:

you don't have a pic to show me... what numbers...???

Step-by-step explanation:

BOI

The simple interest due on a six month loan of $2500 is $125. What is the monthly payment of the loan?

Answers

The monthly payment of the loan is  =$ 437.5

Step-by-step explanation:

Given , the simple interest due on a six month loan of $2500 is $125.

Total amount he paid =$ (2500+125)

                                    =$2625

The monthly payment of the loan is =$(2625÷6)

                                                                =$ 437.5

38) In quadrilateral RTWU below, RT - RU and TW - WU
Which, if any, of the following line segments are lines of
symmetry for this quadrilateral?
A) Only TU is a line of symmetry.
B) No line of symmetry is drawn,
C Both SV and TU are lines of symmetry,
D) Only SV is a line of symmetry.

Answers

Answer:

  B)  No line of symmetry is drawn,

Step-by-step explanation:

RW is the only line of symmetry. It in not drawn, and is not among the answer choices.

No line of symmetry is drawn.





This soda can is going to be made from aluminum. How many square centimeters of aluminum are needed if the radius r = 3.5 cm and the height h = 6 cm? (Use π = 3.14 and round answer to the hundredths' place.)

Answers

208.81 square centimeters of aluminium are needed

Solution:

Given that,

Radius = 3.5 cm

Height = 6 cm

We have to find the square centimeters of aluminum needed

So we have to find the surface area of cylinder

The surface area of cylinder is given by formula:

[tex]A = 2 \pi r(h+r)[/tex]

Where "r" is the radius and "h" is the height of cylinder

Substituting the values we get,

[tex]A = 2 \times 3.14 \times 3.5 \times (6+3.5)\\\\A = 21.98 \times 9.5\\\\A = 208.81[/tex]

Thus 208.81 square centimeters of aluminium are needed

The soda can requires approximately 208.51 square centimeters of aluminum.

To determine the amount of aluminum needed to make the soda can, we need to calculate the surface area of the cylinder. The formula for the surface area of a cylinder is:

Surface Area = 2πr(h + r)

Given the radius (r) = 3.5 cm and the height (h) = 6 cm, we substitute these values into the formula:

Surface Area = 2 * 3.14 * 3.5 * (6 + 3.5)

First, calculate the term inside the parentheses:

6 + 3.5 = 9.5

Next, multiply by the radius:

3.5 * 9.5 = 33.25

Finally, multiply by 2π:

2 * 3.14 * 33.25 ≈ 208.51

So, the total surface area of the soda can is approximately 208.51 square centimeters of aluminum.

What steps can be used To solve 6\7x+1/2=7/8

Answers

I'm guessing you mean (6/7)x+(1/2)=7/8

Subtract 1/2 (also 4/8) from both sides:  (6/7)x=3/8

Divide both sides by 6/7: x=21/48=7/16

So x is 7/16

Hope this helped!

In the figure above, square ABCD and triangle EFG have the same areas. If AB =6 and EG =8, what is the height o triangle EFG?

Answers

Answer:

The height of triangle EFG is 9 units

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of a square ABCD

The area of a square is equal to

[tex]A=b^2[/tex]

where

b is the length side of the square

we have

[tex]b=AB=6\ units[/tex]

substitute

[tex]A=6^2=36\ units^2[/tex]

step 2

Find the height of triangle EFG

The area of triangle EFG is equal to

[tex]A=\frac{1}{2}(b)(h)[/tex]

where

b is the base of triangle

h is the height of triangle

we have

[tex]b=EG=8\ units[/tex]

[tex]A=36\ units^2[/tex] ---> area of triangle EFG is the same that the area of square ABCD

substitute the given values in the formula

[tex]36=\frac{1}{2}(8)(h)[/tex]

solve for h

[tex]36=4h\\h=9\ units[/tex]

therefore

The height of triangle EFG is 9 units

Mother ordered 4 boxes of cupcakes for John's birthday party. As they had more guests than expected, mother ordered 2 more similar boxes of cupcakes. How many cupcakes did each box contain, if there were in total 108 cupcakes for John's birthday party?

Answers

Answer:

each box contained 18

Step-by-step explanation:

because 108 divided by the total number of boxes = 18

Final answer:

To determine how many cupcakes were in each of the 6 boxes for John's party with a total of 108 cupcakes, simply divide 108 by 6, resulting in 18 cupcakes per box.

Explanation:

The question asks us to determine how many cupcakes each box contained if there were a total of 108 cupcakes for John's birthday party, and 6 similar boxes were ordered in total. To find the answer, we divide the total number of cupcakes by the total number of boxes.

First, we know that the mother ordered 4 boxes initially and then ordered 2 more boxes, which gives us a total of 4 + 2 = 6 boxes. Then, we are given the total number of cupcakes, which is 108. To find out how many cupcakes each box contained, we divide the total number of cupcakes by the number of boxes:

108 cupcakes ÷ 6 boxes = 18 cupcakes per box

Therefore, each box contained 18 cupcakes.

A cone has a volume of 33 cubic inches. If
a cylinder has the same height and the same
radius as the cone, what is the volume of the
cylinder?

Answers

Answer:

The volume of the  cylinder is

 [tex]V=99\ in^3[/tex]

Step-by-step explanation:

we know that

The volume of the cone is equal to

[tex]V=\frac{1}{3}\pi r^{2}h[/tex]

[tex]V=33\ in^3[/tex]

so

[tex]33=\frac{1}{3}\pi r^{2}h[/tex]

Multiply by 3 both sides

[tex]99=\pi r^{2}h[/tex] ----> equation A

Remember that

The volume of a cylinder is equal to

[tex]V=\pi r^{2}h[/tex]

The cylinder has the same height and the same  radius as the cone

so

Equate the volume of cylinder to equation A

[tex]V=99\ in^3[/tex]

The volume of the cylinder is 99 cubic inches and this can be determined by using the formula of the volume of the cylinder and the volume of the cone.

Given :

A cone has a volume of 33 cubic inches. A cylinder has the same height and the same  radius as the cone.

The formula of the volume of a cone is given by:

[tex]\rm V = \dfrac{1}{3}\pi r^2h[/tex]

[tex]\rm 3V = \pi r^2h[/tex]   --- (1)

The formula of the volume of the cylinder is given by:

[tex]\rm V' = \pi (r')^2 h'[/tex]  --- (2)

According to the given data, the cylinder has the same height and the same  radius as the cone. That is:

h' = h

r' = r

So, from equations (1) and (2):

V' = 3V

According to the given data, V = 33 cubic inches.

V' = 3(33)

V' = 99 cubic inches

So, the volume of the cylinder is 99 cubic inches.

For more information, refer to the link given below:

https://brainly.com/question/23409099

A prism with a triangular base has a volume of 432 cubic feet. The height of the prism is 8
feet and the triangle base has a base of 12 feet. Find the height of the triangular base of the
prism.​

Answers

Answer:

9 feet

Step-by-step explanation:

Given:

A prism with a triangular base has a volume of 432 cubic feet.

The height of the prism is 8.

The triangle base has a base of 12 feet.

Question asked:

The height of the triangular base of the prism = ?

solution:

Volume of  triangular prism = [tex]Area of triangle \times height[/tex]

[tex]432 = Area of triangle \times8[/tex]

Dividing both side by 8

[tex]54 = Area of triangle[/tex]

[tex]54 =[/tex]  [tex]\frac{1}{2} \times base \times height[/tex]

[tex]54 = \frac{1}{2} \times12\times height\\54 = \frac{12}{2} \times height[/tex]

Multiplying both side by 2

[tex]108 = 12 \times height[/tex]

Dividing both side by 12

[tex]9 = height[/tex]

Thus, height of the triangular base of the prism is 9

the rise and the run between each set of points

Answers

Answer:

The rise would be 4 the run would be 5.

Answer: Rise = 4, Run = 5

Step-by-step explanation:

Rise is how many it goes up

Run is how many is goes right

Please help.
For the first three months of 2005, the total eamings of the airline were $_____

Answers

Answer:

1st three months are January, February and March.

Add all values of each month together.

16+10=26

26-8=18

$18,000,000 in earnings

Step-by-step explanation:

given a sphere with a radius of 2 cm find the volume of the nearest whole number ​

Answers

Answer:

34cm3

Step-by-step explanation:

Volume of sphere = 4/3 pi x cube of radius

Radius =2cm , pi = 3.142

Volume = 4/3 x 3.142 x 2 x 2 x 2

Volume = 1.3333 x 3.142 x 8

Volume = 33.5cm3

Volume = 34cm3 to the nearest whole number

I hope this was helpful, Please mark as brainliest

One fifth of the sum of a number and -3 is twice the number

Answers

Answer:

  the number is -1/3

Step-by-step explanation:

The given statement can be written in math terms as ...

  (1/5)(n -3) = 2n . . . the problem statement, using n to represent the number

  n -3 = 10n . . . . . . . . . multiply by 5

  -3 = 9n . . . . . . . . . . . subtract n

  -1/3 = n . . . . . . . . . . . divide by 9 and reduce the fraction

The number is -1/3.

_____

Check

  -1/3 -3 = -3 1/3 = -10/3

  1/5 of -10/3 = -2/3

  -2/3 is twice the number -1/3 . . . . . answer checks OK

William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each bag to have the same number of cans of each type of food. He uses all the cans.how much of each of this bigs will have and how much cans of fruitwill they have and how much cans of vegetables will they have

Answers

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24  : [tex]1,2,3,4,6,8,12,24[/tex]

Factors of 60 : [tex]1,2,3,4,5,6,10,12,15,20,30,60[/tex]

So,

The greatest common factor of [tex]24[/tex] and [tex]60[/tex] is [tex]12[/tex].

The number of bags William will used for equal distribution = [tex]12[/tex]

Now,

We have to distribute the veggies and fruits in equal number of cans to these [tex]12[/tex]bags.

Number of fruits cans used in each bag = [tex]\frac{24}{12} = 2[/tex]

Number of vegetables can used in each bag = [tex]\frac{60}{12} =5[/tex]

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Final answer:

By computing the greatest common divisor (GCD) of 24 and 60, it is determined that William can create 12 equal bags with each bag having 2 cans of fruit and 5 cans of vegetables.

Explanation:

The student is asking how to divide 24 cans of fruit and 60 cans of vegetables into bags such that each bag contains the same number of cans without any leftovers. This requires finding the greatest common divisor (GCD) of 24 and 60, which is 12. Therefore, William can make 12 bags, with each bag containing 2 cans of fruit and 5 cans of vegetables.

y and z are whole numbers. y<80 and z less than or equal to 70 work out the largest possible value of y+z

Answers

Final answer:

The largest possible value for y + z, with y < 80 and z ≤ 70, is 149, achieved by taking the maximum whole numbers within those limits: y = 79 and z = 70.

Explanation:

To find the largest possible value of y + z given that y is a whole number less than 80 and z is a whole number less than or equal to 70, we must choose the largest whole numbers that fit these conditions. For y, the largest whole number less than 80 is 79, and for z, the largest whole number less than or equal to 70 is 70 itself. Therefore, the largest possible value for y + z is 79 + 70.

The calculation is straightforward:

79 (maximum y) + 70 (maximum z) = 149

This is the largest sum of y + z based on the given conditions.

Please help ASAP. I’ll mark brainliest!!!

Answers

Answer:

attached below

Step-by-step explanation:

Elizabeth is using a sample to study American alligators. She plots the lengths of
their tails against their total lengths to find the relationship between the two
attributes. Which point is an outlier in this data set?

Answers

Answer:

point b

Step-by-step explanation:

i did it on imagine math

Answer:

point b is the correct answer

Step-by-step explanation:

cs it correct

Simplify:
(x-y)/(x+y) - (x+y)/(x-y) =

Answers

Final answer:

The simplified form of the expression (x-y)/(x+y) - (x+y)/(x-y) is -4xy / (x²-y²).

Explanation:

To simplify the expression (x-y)/(x+y) - (x+y)/(x-y), we need to find a common denominator and then combine the terms.

The common denominator for the fractions is (x+y)(x-y), which is the product of both denominators and simplifies to x²-y² due to the difference of squares.

Let's go ahead and combine the fractions over this common denominator:
 ((x-y)² - (x+y)²) / (x²-y²)

Expanding the numerators gives:
 (x² - 2xy + y²) - (x² + 2xy - y²) / (x²-y²)

Now, simplify by combining like terms:
 (x² - x² - 2xy - 2xy + y² - y²) / (x²-y²)

Cancelling out the x² and y² terms, we are left with:
 -4xy / (x²-y²)

Thus, the simplified form of the given expression is:
 -4xy / (x²-y²)

How many centimeters equal 39.4 meters?

Answers

3940 centimeters
Each 100 centimeters is 1 meter

Answer:

Step-by-step explanation:

100CM equal 1m

Therefore

39.4*100=3940cm

A Physician instructs a patient with an ulcer to start Tagamet HB (OTC) 200mg tablets BID PO For 14days.

How many tablets are needed to fill this RX?

Answers

Answer:

28

Step-by-step explanation:

2 pills for 14days=28 pills in total

% is the correct percentage conversion for 2/5

Answers

Answer:

%40

Step-by-step explanation:

Step 1:  Divide 2/5

2/5 = 0.4

Step 2:  Convert to Decimal by multiplying by 100

0.4 * 100 = %40

Answer:  %40

Answer: 0.025%

Step-by-step explanation:

Solve the system of equations.

x + 14y = 38

1

7

x + 2y = 5

What is the solution to the system of equations?

Answers

Answer:

C.

Step-by-step explanation:

Final answer:

To solve the system of equations x + 14y = 38 and x + 2y = 5, we used the elimination method to find x = -0.5 and y = 2.75.

Explanation:

Solving the System of Equations

The question requires solving a system of linear equations. The given equations are:

x + 14y = 38 (Equation 1)

x + 2y = 5 (Equation 2)

We can solve this system using the substitution method or elimination method. Let's use the elimination method:

Multiply Equation 2 by 7 to make the coefficient of x the same in both equations:

7x + 14y = 35 (Equation 3)

Subtract Equation 3 from Equation 1 to eliminate x:

(x + 14y) - (7x + 14y) = 38 - 35

-6x = 3

x = -0.5

Substitute x = -0.5 in Equation 2 to find y:

-0.5 + 2y = 5

2y = 5.5

y = 2.75

The solution to the system of equations is x = -0.5 and y = 2.75.

What is 3x 2/7 as a fraction

Answers

Answer: 3 2/7

Step-by-step explanation: Your answer would normally be 23/7. Just round and you should get 3 2/7. Also there is a fraction calculator online you could use, it shows you how to work out any problem dealing with fractions. Hope I have helped!  

       

The value of 3 × 2/7 as a fraction is 6/7.

What is a fraction?

A fraction describes some part of the total amount. Fractions are of two types one is a proper fraction and another is an improper fraction.

We know a fraction can be written as a form of p/q, where q ≠ 0.

p is the numerator and d is the denominator.

Given 3 × 2/7, we know 3 = 3/1 as every integer can be written as a rational number.

∴ 3/1 × 2/7

= 6/7.

We have to simply multiply the numerator with the numerator and the denominator with the denominator.

learn more about fractions here :

https://brainly.com/question/10354322

#SPJ2

June’s multivitamin contains 1500mg of calcium. Convert this to grams

Answers

Answer:

What is the best definition of a biohazard?

Step-by-step explanation:

Answer:  

1.5g

you need to find out how many miligrams (mg) are in a gram (g).

1mg = .001g   therefore move the decimal point over three times to the left

Step-by-step explanation:

Find algebraically in RxR using substituting method the S.S. of the two equations:
X + y = 4
,
2 x - y = 5

Answers

Answer:

x=3 y=1

Step-by-step explanation:

x+y=4

y=-x+4

plug in the y

2x-(-x+4)=5

2x+x-4=5

3x=9

x=3

plug in x=3 into first equation to find y

y=-(3)+4

y=-3+4

y=1

Answer:

Step-by-step explanation:

x + y = 4   equation 1

2x - y = 5  equation 2

using substitution method,

x= 4 - y  equation 3

substitute equation 3 into equation 2

2(4-y) -y = 5

8 - 2y - y = 5

8 - 3y = 5

-3y = 5 - 8

-3y = -3

divide through by -3

-3y/-3 = -3/-3

y = 1

substitue the value of y into equation 1

x + y = 4

x + 1 = 4

x = 4 - 1

x = 3

Hence, x = 3 and y = 1

Can you guys please answer this question 20 ASAP

Answers

Answer:

a the answer is a

Step-by-step explanation:

Find the volume of this prism:
5 cm
4 cm
6 cm

Answers

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw EXAMPLE

put that into a formula.... and boom solved just comment on this for the answer

A baker started out with 12 cups of flour. She had 9 1/4 cups of flour left after the first batch of batter she made. She had 6 1/2 cups of flour left after the second batch of batter she made. If she makes two more batches of batter, how many cups of flour will be left?

Answers

Answer:

First batch: 12 - 9 1/4 = 2 3/4 cups

Second batch: 9 1/4 - 6 1/2 = 2 3/4 cups

(2 batches)(2 3/4 cups per batch) =

2(11/4) = 11/2 = 5 1/2 cups

6 1/2 - 5 1/2 = 1 cup of flour left

Find the quantity represented by each percent.
1. 46% of 340 gallons
2. 65% of 180 pounds
3. 75% of 72 hours
4. 120% of $590
5. 245% of 860 kilograms

Answers

1) 340•0.46 = 156.4 gallons
2) 180•0.65 = 117 pounds
3) 72•0.75= 54 hours
4) 590•1.20= $228
5) 860•2.45=2107 kg
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