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AnnZ [28]
3 years ago
7

Of five letters (A, B, C, D, and E), two letters are to be selected at random. How many possible are possible

Mathematics
1 answer:
Vanyuwa [196]3 years ago
4 0

Answer:

10

Step-by-step explanation:

5C2 =<u>5!</u>

       2! (3)!

=<u>1 x 2 x 3 x 4 x 5</u>

(1 x 2) (1 x 2 x 3)

=<u>4 x 5</u>

   2

=<u>20</u>

  2

5C2 = 10

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Hats and mittens are on sale at the store! One woman was able to buy 5 hats and 4 pairs of mittens for $30.
aalyn [17]

The price of one hat is $2 and one pair of mittens is $5

Step-by-step explanation:

Hats and mittens are on sale at the store!

  • One woman was able to buy 5 hats and 4 pairs of mittens for $30
  • Another woman purchased 3 pairs of mittens and 2 hats for $19
  • The price of one hat is x
  • The price of one pair of mittens is y

We need to find x and y

∵ One woman was able to buy 5 hats and 4 pairs of mittens for $30

∵ The price of one hat is x

∵ The price of one pair of  mittens is y

- Multiply 5 hats by x and 4 pairs of mittens by y and equate

  their sum by 30

∴ 5x + 4y = 30 ⇒ (1)

∵ Another woman purchased 3 pairs of mittens and 2 hats for $19

- Multiply 2 hats by x and 3 pairs of mittens by y and equate

  their sum by 19

∴ 2x + 3y = 19 ⇒ (2)

Now we have a system of equations to solve it

Multiply equation (1) by -2 and equation (2) by 5 to eliminate x

∵ -10x - 8y = -60 ⇒ (3)

∵ 10x + 15y = 95 ⇒ (4)

- Add equations (3) and (4)

∴ 7y = 35

- Divide both sides by 7

∴ y = 5

Substitute the value of y in equation (1) or (2) to find x

∵ 2x + 3(5) = 19

∴ 2x + 15 = 19

- Subtract 15 from both sides

∴ 2x = 4

- Divide both sides by 2

∴ x = 2

The price of one hat is $2 and one pair of mittens is $5

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

8 0
3 years ago
I need help for this question
ss7ja [257]

Answer:

4, 4, and 8

Step-by-step explanation:

2 cups * 2 marshmallows per cup = 4 marshmallows

8 marshmallows / 2 marshmallows per cup = 4 cups of hot cocoa

16 marshmallows / 2 marshmallows per cup = 8 cups of hot cocoa

8 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP
Crank

Answer: it might be 4 because 5x=20

Step-by-step explanation:

7 0
3 years ago
Which choice is equivalent to the expression below?
Andre45 [30]

<u>Answer:</u>

C. 4\sqrt{7} -4x\sqrt{7} is correct

<u>Steps</u><u>:</u>

4\sqrt{7} -3\sqrt{7}x-x\sqrt{7} \\\\4\sqrt{7} -3\sqrt{7} x-\sqrt{7} x\\\\4\sqrt{7} +(-3\sqrt{7} x-\sqrt{7} x)\\\\4\sqrt{7} -4\sqrt{7} x

7 0
3 years ago
Read 2 more answers
1/5 of 25 = 25 divided by 5=
vitfil [10]
5 because 25 divided by 5 is 5
5 0
3 years ago
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