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MakcuM [25]
3 years ago
11

Deborah has two paintings in her portfolio and paints three more each week.Kai has twelve paintings in her portfolio and paints

two more each week.After how many weeks will Deborah and Kai have the same number of paintings ?
Mathematics
1 answer:
Firdavs [7]3 years ago
4 0
Well, we can set up these equations like this-
Deborah- 2+3w
Kai- 12+2w
w=number of weeks that pass
Now, we set them equal to each other:
2+3w=12+2w

Solve for w
2-12=2w-3w
-10 = -1w
w = 10
10 weeks. Hope this helped!
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There are 8 squares. If 25 percent of the squares are red and the rest of them are blue, how many squares are red?
timama [110]
25% of 8
.25 x 8 = 2
2 of the squares are red and the rest our blue
So 8-2 = 6 blue squares

RED SQUARES = 2
BLUE SQUARES = 6
7 0
3 years ago
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Serial numbers for a product are to be made using 3 letters followed by 3 digits. The letters are to be taken from the first 5 l
Bezzdna [24]

Answer:

43,200 serial numbers can be generated

Step-by-step explanation:

The ordering for the letters and the digits are important. For example, 012 constitutes a different serial number than 210. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

How many serial numbers can be generated

3 letters, from the first five of the alphabet

3 digits, from a set of 10

So

T = P_{5,3}*P_{10,3} = \frac{5!}{(5-3)!}*\frac{10!}{(10-3)!} = 43200

43,200 serial numbers can be generated

8 0
3 years ago
Solve the following inequality: –1 > –2(x – 4) – 5(4x – 7).
NikAS [45]
-1 > -2(x-4) - 5(4x - 7)
-1 > -2x + 8 - 20x + 35
-1 > -22x + 43
-1 - 43 > - 22x
-44 > - 22x
-44/-22 < x
2 < x....or x > 2

6 0
3 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!
Mamont248 [21]
It is -p... think about it.... two negative signs equal a positive sign, if there are an odd number of negative sign's the real answer is -p, and if there is an even amount, it means it is positive p. In your situation, there are 5 negative signs, so since 5 is an odd number, the p has to be negative.
5 0
3 years ago
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An investment advisor believes that there is a 60% chance of making money by investing in a specific stock. If the stock makes m
inessss [21]

Answer:

\mathbf{ 0.6 \times 0.5 = 0.3 }

Step-by-step explanation:

Let M denote the event that the stock makes money and D denote the event that the stock pays dividends.

It is given that P(M) = 0.6

Observe that the two events M and D are not independent because if the stock doesn't make money then it will not pay dividends. Therefore the event D | M^{c} (D given M does not occur) is a null event, i.e

P(D|M^{c}) = 0

It is also given that,

P(D|M) = 0.5

Recall that : P(D|M) = \frac{P(D \cap M)}{P(M)}

Here, we are required to find P(D \cap M)

P(D \cap M) =P(D|M) \times P(M)= 0.5 \times 0.6 = 0.3

7 0
3 years ago
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