All categories

2 years ago

Apply Distributive Property and Simplify

2 answers:

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)

You might be interested in

Complete the equation for this model.

Arturiano [62]

Answer:

(-18) + (-2) = -20

Step-by-step explanation:

arrow is moving from -18 to -20.

3 0

2 years ago

25. If the scale factor of two similar solids is 3:16, what is the ratio of their corresponding areas and volumes? (1 point) 3:2

vitfil [10]

I'm not sure about #25 but #26 is C. 144

3 0

3 years ago

Read 2 more answers

Will you help me?

Volgvan

Answer:

The length side of the original square banner was 9 ft

Step-by-step explanation:

Let

x-----> the length side of the original square banner

we know that

The new area of the banner is equal to

$91=(x+4)(x-2)$

Solve for x

$91=(x+4)(x-2)\\ \\91=x^{2}-2x+4x-8\\ \\x^{2}+2x-99=0$

Solve the quadratic equation by graphing

The solution is x=9 ft

see the attached figure

8 0

3 years ago

Real estate ads suggest that 56 % of homes for sale have garages, 27 % have swimming pools, and 16 % have both features. a) W

Marizza181 [45]

Answer:

a) 0.4

b) 0.28

c) The events are not independent

d) The events are not mutually exclusive

Step-by-step explanation:

Hi!

Lets call:

Gar = {homes with garage}

Pool = {homes with pool},

A = {homes with pool and garage} = Gar ∩ Pool

The data we are given is:

P(Gar) = 0.56

P(Pool) = 0.27

P(A) = 0.16

a) B = {homes with garage but not pool}. This set B is the set Gar without set A: B = Gar / A

P(B) = P(Gar) - P(A) = 0.4

b) This is a conditional probability:

P(Pool | Gar) = P(Gar ∩ Pool) / P(Gar) = 0.16/0.56 = 0.28

c) To be independent events, it must be, by definition:

P(Gar ∩ Pool) = P(Gar) * P(Pool)

0.16 ≠ 0.56*0.27 = 0.15

Then, the events Gar and Pool are not independent

d) Gar and Pool are not mutually exclusive, because there are houses with both pool and garage. We know that because P(A) is not zero.

5 0

3 years ago

HELP PLEASE 21 POINTS PLEASE HELP ME!!!! <3

Anna007 [38]

n 1 2 3 4 5 6

f(n) 1033 932 831 730 629 528

First term (a₁): 1033 Common difference (d): -101

Explicit rule: $a_{n} = 1134 - 101n$ Recursive rule: $a_{n} = a_{n-1} - 101$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = 1033 - 101(n - 1)$

$a_{n} = 1033 - 101n + 101$

$a_{n} = 1134 - 101n$

***********************************************************************************

n 1 2 3 4 5 6

f(n) -39 -29 -19 -9 9 19

First term (a₁): -39 Common difference (d): +10

Explicit rule: $a_{n} = -49 + 10n$ Recursive rule: $a_{n} = a_{n-1} + 10$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = -39 + 10(n - 1)$

$a_{n} = -39 + 10n - 10$

$a_{n} = -49 + 10n$

***********************************************************************************

n 1 2 3 4 5 6

f(n) 3.75 2.5 1.25 0 -1.25 -2.5

First term (a₁): 3.75 Common difference (d): -1.25

Explicit rule: $a_{n} = 5 - 1.25n$ Recursive rule: $a_{n} = a_{n-1} - 1.25$

$a_{n} = a_{1} + d(n - 1)$

$a_{n} = 3.75 - 1.25(n - 1)$

$a_{n} = 3.75 - 1.25n + 1.25$

$a_{n} = 5 - 1.25n$

6 0

3 years ago