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irinina [24]
2 years ago
6

What is 1 1/3 subtracted from its reciprocal?

Mathematics
2 answers:
meriva2 years ago
8 0

Answer:

\frac{-7}{12}

Step-by-step explanation:

The given fraction is 1\frac{1}{3} or  \frac{4}{3}

reciprocal of the given fraction  \frac{4}{3} will be  \frac{3}{4}

Now we have to calculate the difference of  \frac{4}{3} and  \frac{3}{4}

- \frac{4}{3}  +  \frac{3}{4} =  \frac{-16+9}{12} =   \frac{-7}{12}

Therefore, answer is \frac{-7}{12}

anastassius [24]2 years ago
3 0
1 1/3 = 4/3

<span>reciprocal of 4/3 is 3/4

so
</span><span>1 1/3 subtracted from its reciprocal:

3/4 - 4/3
= 9/12 - 16/12
= - 7/12</span>
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A bulletin board can be covered completely by 30 square pieces of paper without any gaps or overlaps if each piece of paper has
34kurt

Answer:

The area of the bulletin board is 30 square foot.

Step-by-step explanation:

A bulletin board can be covered completely by 30 square pieces of paper without any gaps or overlaps.

If each piece of paper has side length of 1 foot so the area of each paper is 1 ft x 1 ft = 1 square foot.

There are 30 pieces of paper needed to completely cover the bulletin board, so 30 pcs of paper with an area of 1 square foot is equal to 30 square feet. The area of the bulletin board is 30 square foot.

4 0
2 years ago
Tony is 4 years younger than his brother josh and two years older than his sister Cindy. Tony also has a twin brother, Evan. All
Sholpan [36]

Let Tony's age = x

He is 4 years younger than his brother Josh, so Josh's age would be x + 4

He is 2 years older than his sister, so her age would be x - 2

He has a twin, which would be the same age, so the twins age is also x

They all add together to equal 66, so you get:

x  + x + x+4 + x-2 = 66

Simplify:

4x +2 = 66

Subtract 2 from both sides:

4x = 64

Divide both sides by 4:

x = 64/4 = 16

Tony is 16 years old.

8 0
2 years ago
Write the equation of the line that is parallel to the line y=-7/4x-2 through the point (4,2)! Help please
Sladkaya [172]

as you already know, the equation y=-7/4x-2, is already in slope-intercept form and thus its slope is the coefficient of the "x", namely -7/4.

parallel lines have the same exact slope, so a parallel line to this one will also have a slope of -7/4, and it passes through 4,2,

\bf (\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad \qquad \qquad  slope =  m\implies -\cfrac{7}{4} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-2=-\cfrac{7}{4}(x-4) \\\\\\ y-2=-\cfrac{7}{4}x+7\implies y=-\cfrac{7}{4}x+9

6 0
2 years ago
Gus has a fish tank that holds 471047104710 inches^3 3 cubed of water. He is using a cylinder shaped bucket with a radius of 555
ozzi

Answer:

Gus will need to fill up the cylindrical bucket three times to be able to use it to fill up the tank

Step-by-step explanation:

Extracting the key information from the question:-

*** A fish tank has a capacity or volume of 4710 inches^3

*** The owner of the tank uses a cylindrical shaped bucket to fill the tank

*** The radius of the bucket being used to fill the tank is 5 inches and its height is 20 inches

*** We are only required to calculate how many times Gus will need to fill the bucket in order to completely fill the fish tank.

Since the container that the owner of the fish tank is using to fill the fish tank is cylindrical, we will need the formula for calculating the volume of a cylinder in order to determine the volume of this bucket that is being used to fill the fish tank.

Volume of a cylinder = π × r^2 × h. From the question, we were informed that the radius of the cylindrical bucket is 5 inches and the height of this bucket is 20 inches.

The volume of the bucket is = 3.14 × 5^2 × 20 = 1570 inches^3

Again, we were told that the fish tank that Gus was using cylindrical bucket to fill up has a volume of 4710 inches^3. In order to determine the number of filled buckets that will be able to fill the fish tank, we will then divide the volume of the tank by the volume of the cylindrical bucket:

4710/1570 = 3 full buckets.

Therefore, Gus will need to fill the bucket three times in order to be able to fill up the fish tank.

7 0
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ivann1987 [24]
Trip G at 1000 miles earning 5 points a mile plus an extra 20 for every 500
5 0
2 years ago
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