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levacccp [35]
4 years ago
11

Find the difference (2ab+7a+1)-(8ab+9)

Mathematics
1 answer:
Masteriza [31]4 years ago
7 0

Hello.

The answer is: −6ab+7a−8

Distribute the Negative Sign:

=2ab+7a+1+−1(8ab+9)

=2ab+7a+1+−1(8ab)+(−1)(9)

=2ab+7a+1+−8ab+−9

Combine Like Terms:

=2ab+7a+1+−8ab+−9

=(2ab+−8ab)+(7a)+(1+−9)

=−6ab+7a+−8

Have  a nice day

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LekaFEV [45]
There are 20 carrots because 25% of 80 is 20
5 0
4 years ago
Read 2 more answers
-×+1>-2 and 6(2x-3)>-6
castortr0y [4]

Step-by-step explanation:

-x+1>-2

3>x

6(2x-3)>-6

12x-18>-6

12x>12

x>1

5 0
4 years ago
A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a wa
Mkey [24]

Answer:

The probability that each player will receive three picture cards = 0.0324

Step-by-step explanation:

As given,

A deck of 52 cards contains 12 picture cards

Remaining card = 52 - 12 = 40

So,

Total number of ways in which 12 picture card is distributed = \frac{12!}{3! 3! 3! 3!}

Now,

The Total number of ways in which Remaining cards are distributed = \frac{40!}{10! 10! 10! 10!}

So,

Total number of ways of getting 3 picture card and remaining card = \frac{12!}{3! 3! 3! 3!}× \frac{40!}{10! 10! 10! 10!}

= \frac{12! 40!}{(3!)^{4} (10!)^{4}  }

Now,

Total number of ways to distribute 52 cards so that each people get 13 card = \frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }

∴ The probability = \frac{\frac{12! 40!}{(3!)^{4} (10!)^{4}  }}{\frac{52!}{(13!)^{4} }}

                            = \frac{12! 40!}{(3!)^{4} (10!)^{4}  }×\frac{(13!)^{4} }{ 52! }

                           = \frac{12! 40!}{(3!)^{4} (10!)^{4}  }×\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }

                           = \frac{12!}{(3!)^{4}   }×\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}

                           = \frac{479,001,600}{(6)^{4}   }×\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}

                           = 0.0324

∴ we get

The probability that each player will receive three picture cards = 0.0324

6 0
3 years ago
Eunice wanted to save up for a mountain bike that costs £250. She baby-sits each week for 6 hours for £2.75 an hour, and does a
choli [55]

Answer:

Approximately 2 weeks

Step-by-step explanation:

Given data

Cost of bike=  £250

<em>Assuming she works for 6 days</em>

1.Babysitting

6*2.75=£16.5 per day

for 6 days

=16.5*6

=£99

2. Saturday Job

=£27.50

Total earnings for the week

=£27.50+£99

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Hence it will take her

=250/126.5

=1.97 week

Approximately 2 weeks to save up the amount

3 0
3 years ago
Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2
PilotLPTM [1.2K]

Answer:

36/25

Step-by-step explanation:

7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9

((7 * 3 * 2)/(7 * 5))^2 * (7^0/5^-3)^3 * 5^-9 =

= (42/35)^2 * (1 * 5^3)^3 * 5^-9

= (6/5)^2 * 5^9* 5^-9

= 36/25 * 5^0

= 36/25

8 0
3 years ago
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