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omeli [17]
2 years ago
11

What is 4 1/3 ÷ 2 1/3. Show Work.

Mathematics
2 answers:
lesya692 [45]2 years ago
8 0
First make improper fractions: —> 13/3 divided by 7/3
Then multiply by the reciprocal: —> 13/3 times 3/7
The threes will cancel making the answer 13/7 or 1 6/7

Gnoma [55]2 years ago
5 0

Here is you're answer:

In order to solve this equation you need to change the mixed numbers into improper fractions then use KCF.

  • Turn into improper fractions:
  • 4\frac{1}{3} = \frac{13}{3}
  • 2\frac{1}{3} = \frac{7}{3}
  • \frac{13}{3} \div \frac{7}{3}
  • Apply KCF:
  • \frac{13}{3} \times \frac{3}{7}
  • Solve:
  • \frac{13}{3} \times \frac{3}{7} = \frac{39}{21}
  • Simplify:
  • \frac{39}{21} \div 3 = \frac{13}{7}
  • = \frac{13}{7}
  • Changed to mixed number:
  • \frac{13}{7} = 1\frac{6}{7}
  • = 1\frac{6}{7}

Therefore you're answer is"1 6/7."

Hope this helps!

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h= -144

Step-by-step explanation:

3 0
2 years ago
A group of college students is volunteering for Homes for the Community during their spring break. They are putting the finishin
Nonamiya [84]

Answer: 2.72 hours

Step-by-step explanation:

Let's call t_1 while it takes Wade to paint the room

Let's call t_2 while it takes Rhonda to paint the same room.

Then we know that:

t_1 = 5\ hours\\t_2 = 6\ hours.

Let's call it t as it takes Rhonda and Wade to paint the same room working together.

Now we use the following formula to calculate t.

\frac{1}{t}=\frac{1}{t_1}+\frac{1}{t_2}

\frac{1}{t}=\frac{1}{5}+\frac{1}{6}

\frac{1}{t}=\frac{11}{30}

t=\frac{30}{11}

t=2.72\ hours

If they work together they will be able to paint the room in 2.72 hours

4 0
3 years ago
if a quadrilateral has two sides that measure 4 inches and angles that all measure 910 degree we can consider the quadrilateral
BartSMP [9]

Answer:

the right answer is rectangle

Step-by-step explanation:

Compare the pairs of sides. One pair measures 4 inches, but the other pair does not and forms 90 ° angles. This figure does not have its four congruent sides, so it is a rectangle.

4 0
2 years ago
A candy box is to be made out of a piece of cardboard that measures 8 by 12 inches. Squares of equal size will be cut out of eac
sleet_krkn [62]

Answer:

the size of the square to be cut out for maximum volume is 1.5695 inches

Step-by-step explanation:

cardboard that measures 8 by 12 inches.

We need to determine What size square should be cut from each corner

We were given given the size of the cardboard.

let us denote the length of the square as 'x'.

Then our length, width and height will be:

Length = 8 − 2x

Width = 12− 2x

Then our Height = x

So now, the volume= length×width ×height

Volume = (8 − 2x) x (12− 2x) x (x)

After calculating volume comes out to be:

V = (96 − 40x + 4x²) (x)

V = 4x³ − 40x² + 96x

Now, we can use differentiation to equate it to zero.

So differentiate it with respect to x, we get

dV/dx = 12x² − 80x + 96

12x² − 80x + 96 = 0

So, after solving this, x comes out to be:

x = 5.097 and x = 1.5695

Looking at it the size of the square cut out cannot be 5.097 because we cannot cut out of both sides of the width, since the width is 5 inches.

Therefore, the size of the square to be cut out for maximum volume is 1.5695 inches.

3 0
3 years ago
Figure ABCD is a parallelogram.
Vera_Pavlovna [14]

Answer:

<B=55°, <D=55°

Step-by-step explanation:

in a parallelogram, opposite angles are congruent. so:

3n-5=2n+15

n-5=15

n=20

now that we know n is 20, we can substitute that into either <B or <D to figure out what their measures are (since they are congruent, they'll both have the same angle measure)

m<D=3n-5

m<D=3(20)-5

m<D=60-5

m<D=55

therefore, both <B and <D equal 55°.

7 0
3 years ago
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