08.02.2022

Which of the following shows 3 + (x + 6y) rewritten using the Associative Property of Addition?
3 + x + 6y
3x + (6 + y)
x + (3 + 6y)
(3 + x) + 6y


Which pair of expressions is equivalent using the Associative Property of Multiplication? (3 points)

6(4a ⋅ 2) = 24a ⋅ 12
6(4a ⋅ 2) = (4a ⋅ 2) ⋅ 6
6(4a ⋅ 2) = 6 ⋅ 4a ⋅ 2
6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2

. 3

Step-by-step answer

12.02.2023, solved by verified expert
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Answer:

1. (3 + x) + 6y (last option)
2. 6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2 (last option)

Step-by-step explanation:

Mathematically, the associative property of addition can be written as follows:

(a + b) + c = a + (b + c)

and the associative property of multiplication can be written as follows:

(a * b) * c = a * (b * c)

both properties holds for any real numbers a, b, and c.

Therefore, for the addition 

3 + (x + 6y ) = (3 + x ) + 6y  (last option)

and for the multiplication

6(4a ⋅ 2) = (6 ⋅ 4a) ⋅ 2   (last option)

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Mathematics
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P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
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Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

Speed=Distance/time

Here,

distance=15m

time=1sec

speed=15/1=15m/sec

Distance=Speed*time

time=15min=15*60sec=900sec

Distance travelled in 15 min=15*900=13,500m

=13500/1000 km=13.5Km

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

Mathematics
Step-by-step answer
P Answered by PhD

Given height of gymnasium is 5/6 height of 30 foot ball

therefore height of gymnasium=5/6 * 30

=25 feet

Mathematics
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P Answered by PhD

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