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erastovalidia [21]
2 years ago
9

Apply Distributive Property and Simplify

Mathematics
2 answers:
Mazyrski [523]2 years ago
4 0
1. 5 (a + 3b - 5c + 4) =
5a + 15b - 25c + 20

2. d (4 + 5 - 11) =
4d + 5d - 11d
9d - 11d
-2d

3. 9 (3p - 3) =
27p - 27

4. 6 (2k - 7 + 10)
12k - 42 + 60
12k + 18

5. 3 (8z - 11 - 2z) =
24z - 33 - 6z
18z - 33

C. 20x + 100
• 5 (4x + 20)

• 20 ( x + 5)

• 4 (5x + 25)


shutvik [7]2 years ago
3 0

Answer:

Step-by-step explanation:

1. 5 (a + 3b - 5c + 4) =

5a + 15b - 25c + 20

2. d (4 + 5 - 11) =

4d + 5d - 11d

9d - 11d

-2d

3. 9 (3p - 3) =

27p - 27

4. 6 (2k - 7 + 10)

12k - 42 + 60

12k + 18

5. 3 (8z - 11 - 2z) =

24z - 33 - 6z

18z - 33

C. 20x + 100

5 (4x + 20)

20 ( x + 5)

4 (5x + 25)

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ollegr [7]

Answer:

\dfrac{5}{8}

Step-by-step explanation:

Alvin takes pictures with his smartphone.

Of the pictures \frac{5}{6} are animals.

\frac{3}{4} of the animals are dogs.

To find which fraction of all pictures are pictures with dogs, you can simply multiply two fractions:

\dfrac{5}{6} \times \dfrac{3}{4} =\dfrac{15}{24} =\dfrac{5}{8}

<u>Another way</u> to solve this question:

Let the number of all pictures be 24 (divisible by both 4 and 6).

Then the number of pictures with animals is

\dfrac{5}{6} \times 24=5\times 4=20

and the number of pictures with dogs is

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Hence, the fraction of pictures with dogs of all pictures is

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3 years ago
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From a group of 13 women and ​12 men, a researcher wants to randomly select 8 women and 8 men for a study. In how many ways can
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The total number of ways the study can be selected is: 637065

Given,

Total number of women in a group= 13

Total number of men in a group = 12

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Number of men chosen = 8

∴ the total number of ways the study group can be selected = 13C₈ and 12C₈.

This in the form of combination factor = nCr

                                                     ∴ nCr = n!/(n₋r)! r!

13C₈ = 13!/(13 ₋ 8)! 8!

        = 13!/5!.8!

        = 1287

12C₈ = 12!/(12₋8)! 8!

        = 12!/5! 8!

        = 495

Now multiply both the combinations of men and women

= 1287 × 495

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Hence the total number of ways the study group is selected is 637065

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