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kap26 [50]
3 years ago
7

Find the prime factorization of 54, and then write it using exponents.

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
7 0

Answer:

54 = 2 * 3^3

Step-by-step explanation:

54 = 9*6

Neither is a prime number

Breaking 9 and 6 down

    = 3*3 *3*2

These are prime numbers

Writing in order from smallest to largest

54 = 2*3*3*3

Now changing to exponents

54 = 2 * 3^3

skelet666 [1.2K]3 years ago
5 0

Answer:

2*3^3

Step-by-step explanation:

2*27=2*3^3

Please mark as Brainliest! :)

Have a nice day.

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Help asap
ZanzabumX [31]

Your fruit punch recipe can be composed of 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

<h3>Unit conversion</h3>

Unit conversion is a tool very useful to solve some questions. For this exercise, you should know that  1 liter (l) = 1000 milliliters (ml).

The question asks you a design your own fruit punch recipe with exactly 5 liters of punch and includes at least three of the juice.

You have several options, an alternative is to use all juices.

  • Step 1 - Convert the units for each given juice containers

         250 milliliters of lemonade = 0.250 l of lemonade juice

         500 milliliters of orange juice = 0.500 l of orange juice

         250 milliliters of grape juice = 0.250 l of grape juice

         250 milliliters of apple juice= 0.250 l  of apple juice

         500 milliliters of cranberry juice =  0.500 l of cranberry juice

         500 milliliter’s of pineapple juice = 0.500 l of pineapple juice

  • Step 2 -Design your own fruit punch recipe with  exactly 5 liters

 4 juice containers of lemonade = 4* 0.250 l = 1 l of lemonade

 2 juice containers of orange juice= 2* 0.500 l = 1 l of orange juice

2 juice containers of grape juice= 2* 0.250 l = 0.500 l of grape juice

2 juice containers of apple juice= 2* 0.250 l = 0.500 l of apple juice

 2 juice containers of cranberry juice= 2* 0.500 l = 1 l of cranberry juice

 2 juice containers of  pineapple juice= 2* 0.500 l = 1 l pineapple juice

Thus, your own fruit punch recipe is composed of: 4 juice containers of lemonade, 2 juice containers of orange juice, 2 juice containers of grape juice, 2 juice containers of apple juice, 2 juice containers of cranberry juice, and 2 juice containers of pineapple juice.

Read more about the unit conversion for capacity here:

brainly.com/question/14965845

4 0
2 years ago
Which expression is equivalent to – 12 + (-4/5) + 31 and includes the correct justification for the equivalence?
anyanavicka [17]

Answer:

b

Step-by-step explanation:

8 0
3 years ago
Translate this sentence into an equation.
lana [24]

Answer:

c+20=72

Step-by-step explanation:

7 0
3 years ago
Plz look at this and solve it plz
Ghella [55]

Answer:

Area= 452.16 cm2

Step-by-step explanation:

12 x 12 = 144

144 x 3.14 = 452.16

5 0
3 years ago
B. Using your answer in letter a or write the equation of the line in the form Ax + By = C
Svetradugi [14.3K]

Answer:

Step-by-step explanation:

(1, 5.5) ; (2, 9)

Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\

         = \frac{9-5.5}{2-1}\\\\=\frac{3.5}{1}\\\\= 3.5

         = 7/2

m = 7/2 ; (2 , 9)

y - y1 =m(x -x1)

y - 9 = \frac{7}{2}(x- 2)\\\\y - 9 = \frac{7}{2}x - \frac{7}{2}*2\\\\y -9 = \frac{7}{2}x - 7\\\\y = \frac{7}{2}x - 7 + 9\\\\y = \frac{7}{2}x + 2

Multiply the equation  by 2

2y = 2*\frac{7}{2}x + 2 *2\\\\2y = 7x + 4\\\\7x - 2y = -4\\

         

4 0
3 years ago
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