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omeli [17]
3 years ago
11

What is 4 1/3 ÷ 2 1/3. Show Work.

Mathematics
2 answers:
lesya692 [45]3 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]3 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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What would be the difference at the end of one year between the simple interest earned on a deposit of $450 at 4.5% and the comp
Len [333]

Answer: $0

Step-by-step explanation:

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

From the information given

T = 1 year

P = $450

R = 4.5%

Therefore

I = (450 × 4.5 × 1)/100

I = 2025/100

I = 20.25

For compound interest,

Initial amount deposited into the account is $450 This means that the principal,

P = 450

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 4.5%. So

r = 4.5/100 = 0.045

It was compounded for just a year. So

t = 1

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. Therefore

A = 450 (1+0.045/1)^1×1

A = 450(1.045) = $470.25

Compound interest = 470.25 - 450 = 20.25

The difference is 20.25 - 20.25 = 0

8 0
3 years ago
Read 2 more answers
Solve for x: 2 over quantity x plus 2 plus 1 over 5 equals 6 over quantity x plus 5. x = 0 x = −13 x = 13 x = 0 and x = 13
grandymaker [24]

To solve this problem you must apply the proccedure shown below:

1. You have the following expression given in the problem above:

\frac{2}{x+2}+\frac{1}{5}=\frac{6}{x+5}

2. You need to sum the fractions located on the left member, as following:

\frac{10+(x+2)}{5(x+2)}=\frac{6}{x+5}

x=(12+x)(x+5)=6(5x+10)

3. Simplify it and you will obtain a quadratic equation. Solve it by factor out x:

x^{2} -13x=0\\ x(x-13)=0\\ x=0; x=13

Therefore, the answer is: x=0; x=13

4 0
4 years ago
At Southside Middle School, 30% of the students play an instrument. There are 310 students. How many students play an instrument
Drupady [299]
OK, so I think you divide 30 by 310 which would be... 1 R 10  or fraction one and one-third 1 1/3
Does this help?
5 0
3 years ago
Read 2 more answers
Need help asap
gregori [183]
Sin (angle) = Opposite Leg / Hypotenuse

Sin(35) = 18 / x

x = 18 / sin(35)

x = 31.4

The answer is C.
5 0
3 years ago
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Erica has a small metal treasure box. The inside of the box is 3 inches wide, 6 inches long, and 4 inches deep. Erica wants to l
Anna11 [10]

Answer: she will need 108 square inches of fabric.

Step-by-step explanation:

To determine the number of square inches of fabric that she will need, we would determine the surface area of the inner part of the box. The formula for determining the surface area of a box or cuboid is expressed as

Surface area = (2lw + 2lh + 2wh)

Where

l represents length of the box = 6 inches

w represents width of the box = 3 inches

h represents height of the box = 4 inches

Therefore,

Surface area = (2 × 6 × 3) + (2 × 6 × 4) + (2 × 3 × 4) = 108 inches²

5 0
3 years ago
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