Evaluate:
6 1/2 ÷ 2 1/4

Answers

Answer 1

Answer:

2 8/9

Step-by-step explanation:

1. Convert to impromper fractions (like 12/4 for example)

6 1/2 as improper fraction would be 6 *2 +1, first you do 6 x 2, to get 12, then you add 1, so 6 1/2 as an imporper fraction would be 13/4.

2 1/4 as imporper fraction would be 2 x 4 +1, first you do 2 x 4, to get 8, then you add 1, so 2 1/4 as an imporper fraction would be 9/4.

2. Second you multiply 13/4 x 9/4

To mutiply 13/4 x 9/4, you need to cross multiplication.  Cross multiplication - a x c over b x d . You should get 13x 2 / 1 x 9 , so 13/4 x 9/4, would be 26/9.

3. Convert 26/9 to mixed number, which would be 2 8/9.

Answer 2

Answer:

[tex]\displaystyle 2\frac{8}{9}[/tex]

Step-by-step explanation:

[tex]\displaystyle 6\frac{1}{2} \div 2\frac{1}{4} \hookrightarrow \frac{13}{2} \div \frac{9}{4} \hookrightarrow \boxed{2\frac{8}{9}} = \frac{1\frac{4}{9}}{\frac{1}{2}}[/tex]

OR

[tex]\displaystyle 6\frac{1}{2} \div 2\frac{1}{4} \hookrightarrow \frac{13}{2} \div \frac{9}{4} \hookrightarrow \frac{26}{9} = \frac{13}{2} \times \frac{4}{9} \\ \\ \boxed{2\frac{8}{9}}[/tex]

I am joyous to assist you at any time.


Related Questions

someone pls help, pls pick brainliest.

Answers

Answer:

what is your problem im a kid

Answer:

8 < t < 28

Step-by-step explanation:

i asked my dad :/

Find the sum and write the answer as a decimal.
6/5 + 10.35

Answers

Answer: 11.55

Step-by-step explanation: screenshot

Step-by-step explanation:

6/5+10.35

1.2+10.35=11.55

hope this was helpful

Also three- dimensional figures and spatial reasoning ( PLEASE HELP)

Answers

A square pyramid consists of a square base and four triangles connected to a vertex. Its base is a square and the side faces are triangles with a common vertex.

hey! This is due at like 11 pm!

Answers

Answer:

v=125π

Step-by-step explanation:

formula for cone : v=1/3πr^2h

plug in values

v=1/3π5^2(5)

solve

v=*3(1/3)π25(5)

v=125π

lmk if im wrong lol

hey you can help me out with this

Answers

Answer:

Step-by-step explanation:

To find the angles of any shape with all sides equal in length, we use the formula:

    [tex]\frac{(n-2)*180}{n}[/tex] , where n is the number of sides

For a pentagon, we get the equation:

[tex]\frac{(5-2)*180}{5}[/tex][tex]= 108 degrees[/tex]

Thus the measure of each in a pentagon if the lengths of all five sides are equal is 108 degrees.

Hope that helps!

The correct answer to the question is 180

Line segments (please help ASAP)

Answers

Answer:

With this much u should give more points then ill help!

Step-by-step explanation:

x/8.9= 22. The / is a fraction.

Answers

Answer:

x = 195.8

Step-by-step explanation:

x/8.9 = 22

multiply by 8.9 to remove the fraction

Abby drew a scale drawing to represent her living room. The drawing is rectangular. The longer sides measure 40.5 centimeters and the shorter sides measure 34.5 centimeters.

Abby decides she wants the drawing to be smaller. She will reduce it by a scale factor of 13.

What will be the measure of the shorter sides?

Select from the drop-down menu to correctly complete the statement.

The measure of the shorter sides will be
Choose... 11.5 13.5 18.75

Answers

Answer:

11.5

Step-by-step explanation:

trust :D

PLEASE HELP ME ! Convert the following description to a proper scale ratio:
8.4 cm represents an actual distance of 33.6 km.

Answers

Answer:

  1 : 400,000

Step-by-step explanation:

A map scale is usually represented as a unit fraction, one with 1 in the numerator. It has no units, which is to say that it is the ratio of same units.

It can be found by dividing the map dimension by the ground dimension when both are expressed in the same units.

  (8.4 cm) / (33.6 km) = (8.4×10^-2 m) / (33.6×10^3 m) = (8.4/33.6)×10^-5

  = 0.25×10^-5 = 1/400,000

__

Additional comment

Map scales are often expressed using the colon for the ratio unit separator:

  1 : 400,000

-589+?+90 + (-1) = 0
Find what ? Equals

Answers

Answer:

? = 500

Step-by-step explanation:

-589 + 90 = -499

-499 + (-1) = -500

-500 + ? = 0

? = 500

i hope this helps! have a wonderful rest of ur day :)

and if its not too much to ask could you mark me as brainliest, im trying to rank up this month and i only need 2 more, if not thats ok! ty and tell me if theres anythign else you need help with!!

Hey there!

-589 + ? + 90 + (-1) = 0


CONVERT the EQUATION

-589 + x + 90 - 1 = 0

COMBINE the LIKE TERMS

x - (-589 + 90 - 1) = 0

x - 589 + 90 - 1 = 0

x - 499 - 1 = 0

x - 500 = 0

ADD 500 to BOTH SIDES

x - 500 + 500 = 0 + 500

CANCEL out: -500 + 500 because it give you 1

KEEP: 0 + 500 because it give you the x-value


NEW EQUATION: x = 0 + 500


SIMPLIFY IT!

x = 500


Therefore, your answer is: 500


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

The table below shows how much water is needed compared to flour, in a given recipe. What is the ratio of flour and water (in the simplest form)?

Answers

Answer:

1 to 3

Step-by-step explanation:

because if you were to divide by 2 you would get your base number 1 which is the simplest form

Answer:

3↔1

Step-by-step explanation:

im in k-12

you find the numbers that can both be evenly divided by 2 which in case of question is "6 to 2" divide 6 by 2 = 3flour, then divide 2by2=1 water

since the question is "what is the ratio of flour to water" it would be wrote 3to1

that is the simplest form.

Can you guys help me? Please and thank you! :)

Answers

The theoretical probability is what is expected based on using math. Since there is only one card that is number 1, and there are 400 possible outcomes, then the theoretical probability is 1/400 which is 0.25%.
Now find the experimental probability by find the number of times card 1 is picked, and the number of cards in total. 128/400 = 0.32 which is 32 percent.
The experimental probability is higher than the theoretical probability.
Hope this helps

help!!!!
Show the conjuncture is false by finding a counter example:
1. Any rational number must terminate
2. The product of any two consecutive integers in positive

Answers

Answer:

1- not every ratoonal number has to terminate

2- Yes, the profuct of any two consecutive interger is positive

Step-by-step explanation:

2 → -3 × -4 = -12

Select the two correct answers please answer ASAP!

Answers

Alright, all the equations are correct, but only two will figure out how many 1/2 servings she can make.

Your answers are A and D.

A adds the ingredients together for the total, 16, and D shows how many servings you can make. If you're making 1/2 pound servings, then the equation

16 / 1/2

would turn into

16/1 * 2/1

and that would turn into

16*2

which equals

=32

A and D are correct :))

A park is shaped like a figure made up of a square and a triangle.

The height of the triangular part is 26 meters.

A polygon consisting of a square with left and bottom marked as 42 m topped by a triangle. The top of the square is the base of the triangle. A dashed perpendicular segment extending from the base to the opposite vertex of the triangle is marked as 26 m.

What is the area of the park?

Enter your answer in the box.

Answers

Answer:

2856m²

Step-by-step explanation:

the square area:

42m × 42m = 1764m²

the triangle area:

42m × 26m = 1092m²

the whole area of the park:

1764m² + 1092m²= 2856m²

Sorry this wouldn’t fit so there is a grey box around but your answer is on the bottom

plssssssssssssssssssssssssssssssssssssplehhhhhhhhhhhhhhh

Answers

74

Because 3x3 = 9, multiply first then add, so 2+(9x8) = 74
73 that’s because 2+(3*3*8)= 2+71=73

Teacher said that these are wrong:
Excerpt 1: median
Excerpt 2: median and mode
Summary Questions: 1 and 2
Can you help? Thx

Answers

I think

Median is - 4

And

Median is - 4

Mode - I forgot how to do mode sorry!!

please help and i will give brainly

Answers

Algeria is the closest one
Algeria is the right choice

helpp plezzzz will give branilist

Answers

Answer: 8/125

Step-by-step explanation:

8/125
this is the answer !!

its called inverse and isolation i think So basically solving for the variable.
Here'sthe definition if it helps
Inverse operations are pairs of mathematical manipulations in which one operation undoes the action of the other—for example, addition and subtraction, multiplication and division. The inverse of a number usually means its reciprocal, i.e. x - 1 = 1 / x . The product of a number and its inverse (reciprocal) equals 1.

Answers

Answer:

  p = 5/8

Step-by-step explanation:

We use the inverse of the addition of the constant to isolate the variable p. We do this using the subtraction property of equality: subtracting the same number from both sides of the equation leaves the value of the variable unchanged.

  7/8 = 1/4 + p . . . . . given

  7/8 -1/4 = 1/4 -1/4 +p . . . . subtract 1/4 from both sides

  5/8 = p . . . . . . . . simplify

  p = 5/8

Write an equation to help Stacy find the gravitational force on an object if she knows the mass. In the equation, let W represent gravitational force, m represent mass, and g represent the ratio you found in part D. Test your equation using a set of values from the table to be sure it works

Answers

Answer:

Gravitation force is well known word in physics. Gravity force exists in all masses objects, i.e. all the object which have masses. The gravitational force is exhibited from the lighter mass to heavier mass.

The expression for the gravitational force is,

Here, F is the gravitational force, G is the gravitational constant,  is the mass of one object,  is the mass of another object, and R is the distance between the two objects.

Thus, the gravitational force is directly proportional to the product of the mass of the massive objects and inversely proportional to the square of the distance between the objects. This is known as Newton's law of gravitation.

Step-by-step explanation:

hopefully this kinda helped

A cylinder has a base diameter of 4cm and a height of 2cm. What is its volume in cubic cm, to the nearest tenths place?

Answers

Answer: 25.12

Step-by-step explanation:

Formula for Volume of Cylinder - π x r² x h

First you want to find the area of the base.

π x 2² x 2

3.14 x 2² x 2

= 25.12

Answer: 25.1 cm'3

Step-by-step explanation:

h = 2 and d =4 and r= 2 (the radius is half of the diameter)

v = πr 2h

v + π(2)'2(2)

v = 25.132741228718

v = 25.1 cm '3

Like in this pic

A chemist is mixing solutions. Solution A is 15% acid, and solution B is 30% acid. She mixes the two solutions to make 12 liters of a new solution that is 25% acid. How many liters of each type of solution did the chemist use to make the new solution?

Answers

Answer:

The addition of 4 liters of 25% solution to 6 liters of 50% solution produces 10 liters of 40% solution.

Step-by-step explanation:

Hope this helps.

Super sorry if it doesn't.

The number of liters of each type of solution did the chemist use to make the new solution is 3.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

We need to Write the percent as a fraction in simplest form

16.24%

So, we can rewrite it as;

16.24 / 100

16 and 24/100 or 16 6/25

So the percent as a fraction is 16 6/25

We are given that;

Solution A = 15% acid

Solution B = 30% acid

Now,

We can isolate x from the first equation and substitute it into the second equation.

x = 12 - y 0.15(12 - y) + 0.30y = 3 1.8 - 0.15y + 0.30y = 3 0.15y = 1.2 y = 8

Then, we can plug in y into either equation to find x.

x = 12 - y x = 12 - 8 x = 4

Check the solution. We can check if our solution satisfies both equations by plugging in x and y into them.

x + y = 12 4 + 8 = 12 12 = 12

0.15x + 0.30y = 3 0.15(4) + 0.30(8) = 3 0.6 + 2.4 = 3 3 = 3

Therefore, by the given percentage the answer will be 3.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ2

Anthony buys a bag of oranges for $5.79. He pays with a $10 bill.

How much change does Anthony receive?

Answers

Anthony receives $4.21 as change

Answer:

4.21$

Step-by-step explanation:

Because his total bill is 5.79$

If he pays with a 10$ bill meaning he get's 4.21$ back.


To calculate this we could subtract 5.79 by 10

Add to 5.79 lentil 10


Subtraction would look like this.

10.00$

 5.79$

______

Since 0 can't subtract nine he goes to his neighbor 0 for help but he can't help so his neighbor 0 also goes for help to his neighbor  0 but he still can't help so then he goes to 1 and puts a 1 in front of 0 to make it 10

And then 0 that turned in to 10 helps other 0 to go to a 9 and it turn into 10 and then that 0 helps that least 0 to turn into 10.

So what's 10 -9=1

9-7=2 so now we got .21

And last to get out final number what is 9 - 5=4 and finally makes 4.21 and that's our answer.

Hope this helps have a great day:)

-pleasee, help-

:)))))

Answers

Answer:

1. Rectangle 2. Has one pair of parrallel sides

Step-by-step explanation

Question 1


A trapezoid only has one pair of parrallel sides and it doesn’t have any right angles


A parrallel doesnt have any right angles


All the sides on a square are the same length


Question 2

The opposite sides arent ALL parrallel


The shape doesnt have any right angles


Not all of the sides are equal


Question
You are downloading songs to your MP3 player. The ratio of pop songs to rock songs is 5 : 4. You download 40 pop songs. How many rock songs do you download?

Answers

5 x 8 = 40. If you multiply 4 x 8 you get 32. The ratio is 40/32.

(I'M GIVING BRAINLY FOR BEST ANSWER) In the formula h = gd, find the value of d if g = 12.3 and h = 17.4.
create an example (with animals like cats or doggos for more chance for yours being the "best answer") and explain how to get the answer to that example in 10 sentences, no less

Answers

Answer: 1.41463414634 or 1.41 If Rounding

Step-by-step explanation:

In this situation, you are multiplying g or 12.3 and d in order to get a product of h or 17.4. In order to get the value of d, you would need to use the Inverse Operation. Since here we are multiplying, we would do the opposite which is division so you would do the product or 17.4 divided by the factor or 12.3 to get 1.41.

17.4/12.3 = 1.41

To check if our answer is right we would do 1.41 multiplied by 12.3.

1.41 x 12.3 = 17.343

Approximately 17.4.

Can't think of an example but I hope this helps. Good luck in your exam! :>

Paula spent 3/8 of her allowance on clothes and 1/6 on entertainment. What fraction of her allowance did she spend on the other items?

Answers

Answer:

11/24

Step-by-step explanation:

x=1-(3/8+1/6)

so

x=1-(13/24)=11/24

sorry if i need any.

Answer:

11/24

Step-by-step explanation:

you have to make the denominators the same.

to do that, you must find the LCM (Least Common Multiple) of the denominators which are 6 and 8.

Multiples of 6: 6, 12, 18, 24 (6 multiplied by 4 = 24)

Multiples of 8: 8, 16, 24 (8 multiplied by 3 = 24)

the LCM of 6 and 8 is 24 - this means that the smallest number that BOTH 6 and 8 can be divided into, WITHOUT leaving a remainder is 24.

From there, you multiply the ENTIRETY of each fraction by the number the denominator multiplies by to get 24:

3/8 multiplied by 3/3 = 9/24

1/6 multiplied by 4/4 = 4/24

NB: If you wish to check if your new and your old fractions are the same, all you have to do is simplify the new fractions and see whether or not you get back the old ones.

Next, you add the new fractions:

9/24 + 4/24 = 13/24

To get the allowance that she spent on other items:

24/24 (which is equal to 1 or 1 whole) - 13/24

This then results in 11/24 which is your answer

hey! This is due at like 11 pm!

Answers

Answer:

4 people

Step-by-step explanation:

46.75 - (10.25x + 5.75)

46.75 - (10.25x4 + 5.75)

46.75 - (41  + 5.75)

46.75 - 46.75

0

please help
The students in Mr. Nottingham’s class are writing expressions for
the perimeter of a rectangle that has a side length of l and a
width of w. They share their answers:
Sergio: 2(l + w)
Jamie: l + w + l + w
Karina: 2l + w
Ethan: 2w + 2l
l
w
l
Finish each sentence by explaining how each student was thinking
about finding the rectangle’s perimeter:
 Sergio’s strategy was to…
 Jamie’s strategy was to…
 Karina’s strategy was to…
 Ethan’s strategy was to…
Which of the students are correct? If a student was incorrect,
explain what they did wrong.

Answers

Answer:

Sergio's strategy was to multiply the sum of the length and width of the rectangle by 2. This was one correct way to find the perimeter of the rectangle.

Jamie's strategy was to add the given measurements of the length and width of the rectangle together. This was another correct way to find the perimeter of the rectangle.

Karina's strategy was to multiply the given length of the rectangle by 2 and add this product to the width of the rectangle. This was NOT a correct way to find the perimeter of the rectangle, as it did not follow the formulas to finding the perimeter of a rectangle: l + w + l + w, or 2(l + w) and furthermore formulas that explain the same thing. Karina only multiplied the length by 2 and did not account for the width of the retangle which she should have done as well.  

Ethan's strategy was to multiply the width by 2, multiply the length by 2, and add these two products together to find the perimenter. This final strategy was correct, and can be used to find the perimeter of the rectangle.

Hope this helps you! I love doing math, so enjoy!

Other Questions
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