1. Distributive Property.
4(3a + 7) + 3(2a + 5)
12a + 28 + 6a + 20

2. Combine like terms
12a + 28 + 6a + 20
18a +48

The equivalent expression is 18a + 48. If a = anything then the expressions will still be equivalent.

5 0

3 years ago

A playground has two poles that are used for games. the first pole is 1.83 m tall. the second pole is 2.172 m tall. how much tal

Sphinxa [80]

2.172
-1.830
---------
0.342

6 0

2 years ago

Tan(-212°) = _____. -cot 32° tan 32° cot 32° -tan 32°

Liula [17]

The correct answer is: -tan 32degrees

8 0

2 years ago

You roll 4 fair, distinguishable, six-sided dice. What is the probability of rolling :______

Vikentia [17]

Answer:

a)0.25

b)0.375

Step-by-step explanation:

Possible outcomes when dice are rolled : 1 ,2 ,3,4,5 ,6

Even= 2,4,6

Odd = 1 ,3 , 5

Probability of getting even = $\frac{3}{6}=\frac{1}{2}$

Probability of getting odd = $\frac{3}{6}=\frac{1}{2}$

4 dices are rolled together

a)P(3 even and 1 odd numbers)

P(3 even and 1 odd numbers)= $^4C_3 (\frac{1}{2})^3 (\frac{1}{2})^1$

P(3 even and 1 odd numbers)= $\frac{4!}{3!1!} (\frac{1}{2})^3 (\frac{1}{2})^1 =0.25$

b)P(2 even and 2 odd numbers)

P(2 even and 2 odd numbers)= $^4C_2 (\frac{1}{2})^2 (\frac{1}{2})^2$

P(3 even and 1 odd numbers)= $\frac{4!}{2!2!} (\frac{1}{2})^2 (\frac{1}{2})^2$ =0.375

6 0

2 years ago