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4 years ago

What property is 3x(2x6)=(3x2)x6

Mathematics

1 answer:

creativ13 [48]4 years ago

4 0

It's associative property:

a · (b · c) = (a · b) · c

3 × (2 × 6) = (3 × 2) × 6

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Graph the solution to the inequality on the number line 3b + 17 _< 4b +23 + 2b

wolverine [178]

Answer:

b_>-2 so the circle is going to be on top of -2 and it is going to be closed, going to the right

3 0

3 years ago

Solve for y. 5y – 7 ≥ 3

NARA [144]

Answer:

Step-by-step explanation:

y≥2

6 0

3 years ago

Read 2 more answers

Aimee got on the train at 3:00 p.m. She got off the train at 4:55 p.m. About how long was Aimee on the train?

balandron [24]

Answer:

1 hour and 55 minutes.

Step-by-step explanation:

3:00 to 4:00 is 1 hour. 4:00 to 4:55 is 55 minutes. 1 hour + 55 minutes = 1 hour and 55 minutes.

7 0

2 years ago

The sum of a geometric series of twelve terms with common ratio 2 is 20,475. What is the first term?

Ray Of Light [21]

Answer: the first term is 5

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

S12 = 20475

r = 2

n = 12

Therefore,

20475 = (a × 2^(12) - 1)/2 - 1

20475 = (a × 4095)

20475 = 4095a

a = 20475/4095

a = 5

5 0

3 years ago

A ball is drawn at random from a box containing 12 red,18

Lubov Fominskaja [6]

Answer:

For a: The probability of getting a red or blue ball is 0.48

For b: The probability of getting a white, blue or orange ball is 0.81

For c: The probability of getting neither white or orange ball is 0.48

Step-by-step explanation:

Probability is defined as the extent to which an event is likely to occurs. It is measured by the ratio of the favorable outcomes to the total number of possible outcomes.

$\text{Probability}=\frac{\text{Number of favorable outcomes}}{\text{Total number of favorable outcomes}}$ .......(1)

We are given:

Number of red balls in a box = 12

Number of white balls in a box = 18

Number of blue balls in a box = 19

Number of orange balls in a box = 15

Total balls in a box = [12 + 18 + 19 + 15] = 64

For a:

Number of favorable outcomes (ball must be red or blue) = [12 + 19] = 31

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a red or blue ball}=\frac{31}{64}=0.48$

For b:

Number of favorable outcomes (ball must be white or blue or orange) = [18 + 19 + 15] = 52

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a white or blue or orange ball}=\frac{52}{64}=0.81$

For c:

Number of favorable outcomes (ball must be white or orange) = [18 + 15] = 33

Total number of outcomes = 64

Putting values in equation 1, we get:

$\text{Probability of getting a white or orange ball}=\frac{33}{64}=0.52$

Probability of getting a ball which is neither white or orange = [1 - (Probability of getting a white or orange ball)] = [1 - 0.52] = 0.48

7 0

3 years ago