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mariarad [96]
3 years ago
15

How can you use division to find the decimal equivalent of a rational number

Mathematics
1 answer:
Kamila [148]3 years ago
7 0

Answer:

To use division to find the decimal equivalent of a rational number, divide the top number by the bottom number. You will get a decimal number.

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A stack of nickels has a math of 45 grams. there are 9 nickels in the stack. what is the mass of 1 nickel
ZanzabumX [31]
1 stack of nickels is S=45gm; given that there are 9 nickels on each stack you can divide the mass of the stack(45) by the number of nickels in a stack(9) to find the mass of 1 single nickel 

\frac{45gm}{9}=5gm 

<u>5gm = 1 nickel</u>
7 0
3 years ago
Read 2 more answers
Determine the location and values of the absolute maximum and absolute minimum for given function : f(x)=(‐x+2)4,where 0&lt;×&lt
brilliants [131]

Answer:

Where 0 < x < 3

The location of the local minimum, is (2, 0)

The location of the local maximum is at (0, 16)

Step-by-step explanation:

The given function is f(x) = (x + 2)⁴

The range of the minimum = 0 < x < 3

At a local minimum/maximum values, we have;

f'(x) = \dfrac{(-x + 2)^4}{dx}  = -4 \cdot (-x + 2)^3 = 0

∴ (-x + 2)³ = 0

x = 2

f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx}  = -12 \cdot (-x + 2)^2

When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2

We have, f(2) = (-2 + 2)⁴ = 0

The location of the local minimum, is (2, 0)

Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3

When x = 0, -x + 2 = 0 + 2 = 2

Similarly, we have;

-x + 2 = 1, when x = 1

-x + 2 = 0, when x = 2

-x + 2 = -1, when x = 3

Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16

The location of the local maximum is at (0, 16).

5 0
3 years ago
if sofia has 40,000 dresses and she needs to put them in 1,000 boxes equally, how many dresses will fit in each box
Margaret [11]

Answer:

40 dresses will fit in each box

Step-by-step explanation:

40,000 ÷ 1,000 = 40

Hope this helps

4 0
2 years ago
Read 2 more answers
Summer is having a pool party at her house In the ice chest me are of lemonade and 13 bottles of water If she randomly grabs abo
zlopas [31]
Probability  = 

       (number of ways it can come out the way you want it to)
divided by
       (total number of ways it can come out).

Total number of ways it can come out =

                    number of bottles in the cooler

                 = (10 + 15 + 13) = 38 .

Number of ways it can come out the way you want it to =

                   (soda + lemonade)

                = (10 + 15) = 25 .

Probability of coming out the way you want it to =

                     25 / 38  =  about 65.8 % .

7 0
3 years ago
1.
oksian1 [2.3K]

Answer:

Answer is 2

{ \rm{4x + 2 > 10}} \\  \\ { \rm{4x < 8}} \\  \\ { \rm{x < 2}}

6 0
2 years ago
Read 2 more answers
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