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3 years ago

What is the value of b in the equation below?

Mathematics

1 answer:

Ymorist [56]3 years ago

7 0

Answer:

When you divide powers you take them away but when you times them you add them

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Given six distinct pairs of gloves, 12 distinct gloves in all, how many ways are there to distribute two gloves to each of six s

noname [10]

a) if the two gloves someone receives might both be for the left hand or right hand.

b) if each sister gets one left and one right.

Soln:

a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:

C(12, 2)

then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:

6!6!

and taking the product of this would give me the amount of ways this could occur:

= C(12,2) * 6!

then for part b)

using this same idea except:

C(6,1) C(6,1) for the left and right glove each .

the C(6,1)*C(6,1)*6!

Right way to think them through?

7 0

4 years ago

Kenneth loaned $1,200 to his niece to buy a computer. Two years later, she paid him back the $1,200 along with an interest of $9

insens350 [35]

Answer:

The annual interest rate was 4%

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Loan to Kenneth's niece to buy a computer = US$ 1,200

Duration of the loan = 2 years

Niece paid back to Kenneth = US$ 1,296

Annual interest rate = x%

2. Let's find the annual interest rate after 2 years, using the following formula:

FV = PV * (1 + x)

PV = Loan to Kenneth's niece to buy a computer = US$ 1,200

FV = Niece paid back to Kenneth = US$ 1,296

rate (r) = x

Replacing with the real values:

1,296 = 1,200 * (1 + x)

1.296/1.200 = (1 + x) (Dividing by 1,200 at both sides)

1.08 = 1 + x

1.08 - 1 = x (Subtracting 1 at both sides)

0.08 = x

This is the interest rate for two years, for finding the annual interest rate we divide it by 2, this way:

0.08 / 2 = 0.04 * 100 = 4%

7 0

3 years ago

Find the area of the shape someone please help me:):)

Anettt [7]

Answer:

31.5

Step-by-step explanation:

You have to break the shape up into a triangle and a rectangle

Area of a Triangle:

A=1/2(b)(h)

=1/2(7)(3)

=1/2(21)

=10.5

Area of Rectangle:

A= (b)(h)

=(7)(3)

=21

Area of Total Shape:

10.5 + 21

=31.5

4 0

3 years ago

Find the area of each figure

seraphim [82]

3 times 3 times 3 times 3 equals 81 so it would be 81

7 0

3 years ago

Solve the inequality: 4k-(5+3k)>2

Elanso [62]

Answer:

k > 7

Step-by-step explanation:

Given the inequality statement: 4k - (5 + 3k) > 2

Distribute -1 into (5 + 3k):

4k -5 - 3k > 2

Next, add like terms:

k - 5 > 2

Add 5 to both sides of the inequality:

k - 5 + 5 > 2 + 5

k > 7

Please mark my answers as the Brainliest if you find my explanations helpful :)

5 0

3 years ago

Read 2 more answers