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3 years ago

What is 4 1/3 * 2 1/7 as a mixed number in simplest form?

Mathematics

2 answers:

Ronch [10]3 years ago

4 0

Answer:

9 2/7

Step-by-step explanation:

4 1/3=13/3

2 1/7=15/7

13/3*15/7= 195/21

=9 6/21

=9 2/7

docker41 [41]3 years ago

4 0

Hi there!

Answer:

9 2/7

Step-by-step explanation:

4 1/3 = 13/3

2 1/7 = 15/7

Now you have to multiply

Which equals to: 195/21

Since this is a improper fraction, you have to divide.

195 divided by 21.

=9 2/7

Below is a picture of how you should divide (using long division).

~Have a great day!~

If you have any questions, feel free to ask!

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A city park commission received a donation of playground equipment from a parents' organization. The area of the playground need

dalvyx [7]

Answer:

Length = 20.49 yards and Width = 12.49 yards.

Step-by-step explanation:

The area of the rectangular playground is given by 256 yards square. It is also known that one of the sides of the playground is 8 yards longer than the other side. Therefore, let the smaller side by x yards. Then the longer side will be (x+8) yards. The area of the rectangle is given by:

Area of the rectangle = length * width.

256 = x*(x+8)

x^2 + 8x = 256. Applying the completing the square method gives:

(x)^2 + 2(x)(4) + (4)^2 = 256 + 16

(x+4)^2 = 272. Taking square root on both sides gives:

x+4 = 16.49 or x+4 = -16.49 (to the nearest 2 decimal places).

x = 12.49 or x = -20.49.

Since length cannot be negative, therefore x = 12.49 yards.

Since smaller side = x yards, thus smaller side = 12.49 yards.

Since larger side = (x+8) yards, thus larger side = 12.49+8 = 20.49 yards.

Thus, the length and the width to minimize the perimeter of fencing is 20.49 yards and 12.49 yards respectively!!!

7 0

3 years ago

Lori buys a $586 certificate of deposit (CD) that earns 6.6% interest that compounds monthly. How much will the CD be worth in 1

Alex777 [14]

Answer:

Step-by-step explanation:

This problem can be solved using the compound interest formula

$A= P(1+r)^t$

Given data

A, final amount =?

P, principal = $586

rate, r= 6.6% = 0.066

Time, t= 13 years

Substituting our values into the expression we have

$A= 586(1+0.066)^1^3\\\ A= 586*(1.066)^13\\\ A= 586*2.295\\\ A= 1344.87$

To the nearest cent the in 13 years the CD will be worth $1344.9

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2 years ago

What is the reciprocal of 1 8/9

notka56 [123]

Answer: 9/17
Reason

The reciprocal is simply flipping the denominator and numerator of a fraction.

1-8/9 as a mixed fraction is 17/9
So the reciprocal would be to flip it,
Giving you 9/17 which is in its simplest form

6 0

1 year ago

Original price of a pen:$1.50<br>tax:4%

kkurt [141]

Answer:

$1.56

Step-by-step explanation:

1.50 times 0.04 is 0.06

1.50+0.06

$1.56

6 0

2 years ago

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What is the area of the figure?

den301095 [7]

The area of the shape given is 188 mm².

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2 years ago