What is an equation that represents 4 1/4 as a sum of whole numbers and unit fractions

Answers

Answer 1

Final answer:

The equation that represents 4 1/4 as a sum of whole numbers and unit fractions is simply 4 + 1/4. This approach demonstrates the decomposition of a mixed number into its integral and fractional components.

Explanation:

To represent 4 1/4 as a sum of whole numbers and unit fractions, we can break it down into its components. This fraction essentially means 4 plus 1/4. The whole number part is straightforward, and the fraction part can be represented as a unit fraction. Thus, 4 1/4 can be expressed as the sum 4 + 1/4.

In mathematics, when decomposing mixed numbers into a sum of whole numbers and fractions, it’s essential to clearly distinguish between the integral and fractional parts. For example, similar numbers like 5 1/3 would decompose into 5 + 1/3. This helps illustrate how mixed numbers can be broken into more straightforward components, making them easier to work with in various mathematical operations and providing a bridge to understanding fractional expressions and addition.

Answer 2

Answer:

4 1/4 = 1 + 3 + 1/6 + 1/12

Step-by-step explanation:

You want an equation that represents 4 1/4 as the sum of whole numbers and unit fractions.

Whole numbers

The whole number portion of 4 1/4 is 4. The number 4 can be represented as a sum of whole numbers (plural) several ways:

4 = 0 + 4
4 = 1 + 3
4 = 2 + 2

4 = 0 + 1 + 3
4 = 1 + 1 + 2

4 = 1 + 1 + 1 + 1

Of course, any quantity of the whole number 0 can be added to any of these sums. We have shown a couple of instances of that.

In our answer here, we choose the representation to be 4 = 1 +3.

Unit fractions

A unit fraction is a fraction with a numerator of 1. In the mixed number 4 1/4, the fraction portion, 1/4, is already a unit fraction. The problem statement here asks for a representation involving "unit fractions" (plural). We can divide 1/4 into any number of equal unit fractions:

1/4 = 1/8 + 1/8 . . . . 2 equal unit fractions

1/4 = 1/12 + 1/12 + 1/12 . . . . 3 equal unit fractions

This latter representation suggests a way to use unequal unit fractions to represent 1/4:

1/4 = (1/12 + 1/12) +1/12 = 2/12 +1/12 = 1/6 +1/12

Using these two unit fractions, our equation can be written ...

4 1/4 = 1 + 3 + 1/6 + 1/12

Related Questions

PLS HURRY FIRST ANSWER IS MATKED BRAINLEST!!!

What is the volume of the piles of hay??

Answers

6 x 4 x 3 = 72

1 x 2 x 4 = 8

72 -8 = 64 cubic feet

100 dL = how many L exp lane please and answer

Answers

Hello there!

100 deciliter is equal to 10 liter

Details down below....

There are 0.1 liters in a deciliter.

We can use that information to find how many liter are there in 100 deciliter.

So, it should look like this:

0.1 L...........1 dl
x L................100 dl

Cross multiply

1 * x = 100 * 0.1

x = 10

You got it? See how easy that was :)

Math is an interesting beautiful subject. We just need to know the formulas and understand when and how to use them.

I hope this answer helps! As always, it is my pleasure to help students like you!

The quantity demanded x for a product is inversely proportional to the cube of the price p for p > 1. When the price is $10 per unit, the quantity demanded is 64 units. The initial cost is $150 and the cost per unit is $2. What price will yield a maximum profit?

Answers

q(p) = k/p^3 . . . . . . . . we want to find k
q(10) = k/10^3 = 64
k = 64,000

Revenue = q(p)*p = 64000/p^2
Cost = 150 +2q = 150 +2*64000/p^3

Profit = Revenue -Cost = 64000/p^2(1 -2/p) -150

Differentiating to find the maximum profit, we have
.. dProfit/dp = -2(64000/p^3) +6(64000/p^4) = 0
.. -1 +3/p = 0
.. p = 3

A price of $3 per unit will yield a maximum profit.

passing through (1,9),slope=2

Answers

Passes through (1, 9) with a slope of 2.

Assuming that we want this in slope intercept form, which is y=mx+b (m=slope, b=y-intercept) then we need to find the y-intercept! :)

To find the y-intercept (or b!!) you simply need to plug everything into slope intercept form using our given points.

y = mx + b

Plug everything in.

9 = 2(1) + b

Simplify.

9 = 2 + b

Subtract 2 from both sides.

9 - 2 = b

b = 7

Therefore, our y-intercept is 7! :)

Now that we have both the y-intercept and the slope, we can finally plug this into a new equation, using slope intercept form.

y = mx + b

y = 2x + 7

~Hope I helped!~

y = ax + b

Here the slope is 2.

Then, y = 2x + b

The line is passing through (1;9).

We just have to substitute that in the equation.

9 = 2*1+ b
b = 9 - 2
b = 7

That's the intercept.

Eventually, the equation is : y = 2x + 7

Hope this helps !

Photon

Which describes the correct way to convert minutes to hours?

Answers

Every 60 minutes equals an hour.

60m = 1h

m = minutes | h =hour

60m + 60m = 120m = 2h

Hope this helped!

What is the median of the following data set? {6, 3, 9, 1, 7} 3 6 8 9

Answers

The median of a data set is the number in the very middle.
Your answer would be 9.

Answer:

Step-by-step explanation:

After taking core samples all over a cone-shaped mountain, you have determined that for every 1,000,000 yd3 there is about 2 lbs of gold to be mined. If the mountain has a base that is 2,000 yards wide and a height that is 3,000 yards tall, about how much gold is it expected to hold?

Answers

Final answer:

To find the expected amount of gold in the mountain, calculate the volume of the cone and multiply it by the gold density.

Explanation:

To determine the amount of gold expected to be held in the mountain:

Calculate the volume of the cone using the formula V = (1/3)πr²h.

Convert the volume to cubic yards since the gold density is given in lbs per 1,000,000 yd³.

Multiply the volume by the gold density to find the total amount of gold expected in lbs.

A mini-cube measures 1.5 in. wide. A mega-cube is 5 times as wide. What is the volume of the mega-cube, rounded to the nearest tenth?

Answers

my guess is it is round to 7.5

Answer:

the answer is 421.9 in³

How do you solve 9x+2=8x+9

Answers

Try solving for the variable and get everything to one side

start by moving all whole numbers to one side and all x values to the other so you would subtract 2 from each side first and be left with 9x=8x+7 and then you would subtract 8x from both sides and you would have 1x=7 and lastly you would divide each side by 1 and be left with your answer x=7
Hope this helps and have a wonderful day :)

What are three two dimensional shapes that could result from slicing a cube

Answers

Any 3 of ...
triangle, square, rectangle, trapezoid, parallelogram, pentagon, hexagon.

What is the answer for 20x21

Answers

The answer is 420. I hope that it is right and next time use a calculator.

20*21=420

21 groups of 20 is 21*2=42
42*10=420

Hope this helped☺☺

a square has the sides of 2 yards. plastic cues with sides of 8 inches are placed on the rug. if the cubes cost $2 each, how much money is needed to completely cover the rug with the cubes

Answers

The square is 6 by 6 feet or 72 by 72 inches.
The area of the square is 5184 inches squared.
Divide the area by 64 (area of cube) to equal 81 cubes.
Multiply 81 by 2 to find cost.
Cost = $162

Hope this helps!! :)

James cut 1 1/4 dozen flower for a bouquet. Gwen added 1 2/4 dozen flowers to the bouquet. How many dozen flowers are there altogether?

Answers

3 and 3/4 of a dozen

Flower cut for a bouquet by James =[tex] 1\frac{1}{4} [/tex]

Flower cut for a bouquet by Gwen=[tex] 1\frac{2}{4} [/tex]

Flower cut for a bouquet by James and Gwen is the sum of flowers cut by both.

Flower cut for a bouquet by James and Gwen=[tex] 1\frac{1}{4} +1\frac{2}{4} =(1+1)+(\frac{1}{4} +\frac{2}{4} =(2)+\frac{3}{4} =2\frac{3}{4} [/tex]

Flower cut for a bouquet by James and Gwen =[tex] 2\frac{3}{4} [/tex]

PLZ!!! HELP!!!!!!!!!

This figure is 14 of a circle.

What is the best approximation for the perimeter of the figure?

Use 3.14 to approximate pi.

A.7.85 in.
B.12.9 in.
C. 17.9 in.
D. 31.4 in.

The file is the picture of the quarter or 1/4 circle

Answers

The answer is c with a side of bacon hope that helps. :)

Answer:

C. 17.9

Step-by-step explanation:

Formula: 1/4 π x d

d = diameter

d = 2r

1/4 π x 10 = 10/4 π

Add the 2 non-curve sides

5 + 5 = 10

10/4 x (3.14 = π) x 10

= 17.9

I hope this helps! :)

A dairy mixes chocolate milk to sell in gallon containers. They mix 2,365 cups of skim milk with 108 cups of chocolate syrup. If each gallon container holds 16 cups of the chocolate milk, how many full containers will be filled?

Answers

So to solve this equation, you need to first figure out how many cups are going to be in all. You can do this by adding the cups of skin milk (2365) and the cups of chocolate syrup (108 cups), which leaves you with a total of 2473 cups.
Now, since each gallon is 16 cups and you are determining the amount of gallons, you take the total number of cups (2473) and divide it by the 16 cups. this then gets you the answer of 154.5635. BUT... Since it wants to know how many FULL containers... the real answer is simply 154 GALLONS

(2365 cups + 108 cups) ÷ 16 = 2473 ÷ 16
= 154.56
the quantity will fill a 16 containers

what is eleven less than 7 times a number is at least 2 what is the inequality

Answers

----------------------------------------------------------
Define x.
----------------------------------------------------------
Let the number be x.

----------------------------------------------------------
Construct inequality
-----------------------------------------------------------
7x - 11 ≥ 2

----------------------------------------------------------
Add 11 to both sides.
----------------------------------------------------------
7x ≥ 13

----------------------------------------------------------
Divide by 7 on both sides.
----------------------------------------------------------
[tex]x \geq \dfrac{13}{7} [/tex]

----------------------------------------------------------
[tex]\bf \text{ Answer: } x \geq \dfrac{13}{7} [/tex]
----------------------------------------------------------

Hence, the inequality is [tex]x\geq \frac{13}{7}[/tex].

What is an inequality?

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Here given that,

Eleven less than [tex]7[/tex] times a number is at least [tex]2[/tex].

Let the number be [tex]x[/tex]. Construct the inequality

[tex]7x - 11 \geq 2[/tex]

Now add [tex]11[/tex] to both sides.

[tex]7x\geq 2+11\\7x\geq 13[/tex]

Now, divide by [tex]7[/tex] both sides, we get

[tex]x\geq \frac{13}{7}[/tex].

Hence, the inequality is [tex]x\geq \frac{13}{7}[/tex].

To know more about inequality

https://brainly.com/question/23575974

#SPJ2

....................

Answers

The slope of LM is (-2 -(-4))/(3 -1) = 2/2 = 1, as is the slope of NK. The other two sides of the rectangle will be perpendicular, so their slopes will be -1/1 = -1.

Selection A is appropriate.

How do u do #10? Plz show on paper

Answers

Reflection across the line y=x simply swaps the x and y coordinates.
K'(-2, -5), A'(1, -4), I'(-1, 0), J'(-4, -2)

Which relation is a function of x?

Answers

The correct awnset to that question would be D

Answer:

last option is correct.

Step-by-step explanation:

A relation is a function if each x value has a unique y value.

We'll use this concept to check whether the relation is a function or not.

For the first relation,

the x value 2 has two different values -9 and 8 . Hence, it is not a function.

For the second relation,

the x values -8 and 1 has different y values . Hence, it is not a function.

For the third relation

The x value -5 has different y values. Hence, it is not a function.

For the fourth relation

All the x values have unique y values. Hence, from the definition it is a function.

Therefore, last option is correct.

translate the verbal phrase into a algebraic expression pls

Answers

2 × (x + 3) < 5
...................................................................

the pyramid arena in memphis tennessee is a square pyamid that is 321 feet tall. the base has 600 foot sides. find the volume of the pyramid

Answers

38,520,000 [tex] ft^{3} [/tex]

The volume of a pyramid is represented by

V = [tex] \frac{l * w* h}{3} [/tex]

The sides are 600 and the height is 321 so by filling in the values in the formula, you can get to your final answer. This is represented in the attached image.

Kerry cut an 8 foot long board into 6 pieces that are equal in length. Represent this problem as a fraction

Answers

The answer is 8/6. Hope this helped! God bless :)

8/6 which is simplified to 4/3

A deep-sea diver must descend and ascend in short steps to equalize pressure on his body. If the diver rises toward the surface too fast, he may suffer from a physical condition called "the bends." Suppose the diver started at 82 feet below the surface and rose in 5 steps of 15 feet each. Use an integer to describe his new position in relation to the water surface.

Answers

Start by multiplying 15 by 5, and you get 75. then subtract that from 82, and you get 7. Since you are below the surface, the number is negative. So you get -7.

Answer:

-7 feet

Step-by-step explanation:

The total distance the diver rose is 5*15 = 75 feet

If we take the zero at the water surface, then the initial position, that is, 82 feet below the surface has to be considered as -82. The 75 feet risen by the diver is a positive quantity, then his new position, in relation to the water surface, is -82 + 75 = -7 feet, i. e. 7 feet below the surface.

Malik drinks 1\2 liter of water and 1\3 liter of liter of juice.did malik drink more water or juice?

Answers

malik drank more water than juice

During a 5-year period, 32% of snowstorms in a certain city caused power outage Fifty-one of the snowstorms did not cause power outages. Find the total number of snowstorms in this city over the 5-year period.

Answers

To answer this question you will consider that if 32% of the storms did cause outages, then 100% (all of them)-32%= 68% did NOT produce a power outage. We can say that 68% of the total is 51.

This can be written as 0.68 x = 51 where x is the total number of snowstorms. Divide both sides by 0.68 to solve for x. X = 75 snowstorms. Another way to do this is to use Ratios. See the attached page for the strategy.

Answer:
Total number of snowstorms = 75 storms

Explanation:
We are given that:
32% of the snowstorms caused power outage
This means that we can get the percentages of the snowstorms that did not cause power outage as follows:
% of storms not causing outage = 100% - 32% = 68%

Now, we are given that the number of snowstorms that did not cause power outage is 51
Assuming that the total number of storms is x, the equation would be as follows:
68% * x = 51
0.68x = 51
x = 51 / 0.68
x = 75 storms

Hope this helps :)

9. A model of a building is made using a scale of 1 inch = 25 feet. What is the height of the actual building, in feet, if the height of the model is 12.5 inches?

*PLZ HELP* *DUE IN 1 HOUR* *EMERGENCY* *17 POINTS* *YOU WILL GET A COOKIE*

Answers

You can use the ratio to find the height of the actual building, 1 inch:25 feet.
We have to find y which is the actual height, 12.5 inches: y.
To find y, you have to multiply 12.5 by 25 to find the actual height.
12.5×25= 312.5
So the actual height of the building is 312.5 feet.

Answer:

312.5

Step-by-step explanation:

i wil get my cookie

-2x+y=1.3 2(0.5x-y)=4.6

Answers

1 Solve for yy in -2x+y=1.3−2x+y=1.3How?
y=1.3+2xy=1.3+2x
2 Substitute y=1.3+2xy=1.3+2x into 2(0.5x-y)=4.62(0.5x−y)=4.6How?
2(-1.5x-1.3)=4.62(−1.5x−1.3)=4.6
3 Solve for xx in 2(-1.5x-1.3)=4.62(−1.5x−1.3)=4.6How?
x=-2.4x=−2.4
4 Substitute x=-2.4x=−2.4 into y=1.3+2xy=1.3+2xHow?
y=-3.5y=−3.5
5 Therefore,
x=-2.4x=−2.4
y=-3.5y=−3.5

Hurry I'm TIMED!!!! The following graph shows the low temperatures for the past six nights. What was the range of temperatures for the six nights?

34°F
22°F
12°F
8°F

Answers

Organize by number.

8, 12, 22, 34

Range is the difference between the highest number and lowest number in a set of data. To find the range for this data you take 34 and subtract 8 which gives you 28.

Answer:

the answer above is incorrect! So you take 22 which is the lowest on the graph and you take 34 which is the highest on the graph and 8 is not on the graph so 34-22=12

Step-by-step explanation:

SOYOUR ANSWER IS: 12YOU ARE WELCOME MY DEAREST FRIEND!

2a - 1 = 19
Solve the equation and show all work please show steps!!

Answers

Hello,

The answer is "x=10".

Reason:

First write the equation:

2a-1=19

Add one on both sides:

19+1=20

2a=19

Now divide 2 by 20:

20/2=10

a=10

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Find x. Round to the nearest hundredth.

Answers

X = 11 x tan(64)

x = 22.55

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