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3 years ago

Which statement best describes (3 × 4) × 6 = 3 × (4 × 6)?

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

8 0

Answer:

This is the associative property.

Step-by-step explanation:

The only operation in this expression is multiplication.

We know that the order in which we multiply numbers does not change their product; therefore we can group different numbers together and get the same product.

In this case, on the right hand side, 3 and 4 are grouped together first, then multiplied by 6. This gives us 12*6 = 72.

On the left hand side, 4 and 6 are grouped together first, then multiplied by 3. This gives us 24*3 = 72.

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Jessiah has 6 more pencils than grace. miles has twice as many pencils as jessia. they have a total of 50 pencils together. how

Lerok [7]

Answer:

Jessiah has 14 pencils

Miles has 28 pencils

Grace has 8 pencils

Step-by-step explanation:

I'm going to assume that you mean Jessaih instead of Jessia because otherwise it would be impossible to solve

Let the # of Jessaih's pencils equal j, # of Grace's pencils equal g, # of Miles' pencils equal m,

j=g+6

m=2j

So m=2(g+6) or 2g+12

Therefore, g+g+6+2g+12, or 4g+18=50, so g = 8

j=8+6, which is 14

m = 2(14), which is 28

3 0

2 years ago

Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill. If $759 was left, what was his

musickatia [10]

Step-by-step explanation:

<h3>Given Information :</h3>

Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill.
Remaining money = $759

<h3>To calculate :</h3>

His monthly salary.

<h3>Calculation :</h3>

Let us assume his monthly salary as x. According to the question,

➝ Money spent on rent + Money spent for utility bill + Remaining money = His salary

$\longrightarrow\sf {\dfrac{1}{3}x + \dfrac{1}{7}x + 759 = x} \\$

$\longrightarrow\sf {\dfrac{7x + 3x + 15939}{21}= x} \\$

$\longrightarrow\sf {\dfrac{10x+ 15939}{21}= x} \\$

$\longrightarrow\sf {10x+ 15939= 21x} \\$

$\longrightarrow\sf {15939= 21x - 10x} \\$

$\longrightarrow\sf {15939= 11x} \\$

$\longrightarrow\sf {\cancel{\dfrac{15939}{11}}= x} \\$

$\longrightarrow\underline{\boxed{\bf {1449= x}}} \\$

Therefore, his monthly income is $1449.

7 0

3 years ago

5. Emmanuel makes 82,000 as a software designer. Use the follow tax chart to find what he will pay in taxes this year.

Mekhanik [1.2K]

I think the answer is d

5 0

3 years ago

When rolling two six-sided number cubes, what is the probability of getting a sum of at least 5? 5/18 1/3 13/18 5/6

VashaNatasha [74]

The sample space for two six sided cubes =

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now the favourable events are those where the sum is greater than or equal to 5.

It means

(1,4) (1,5) (1,6)

(2,3) (2,4) (2,5) (2,6)

(3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

It means

favourable events = 30

and total possible events = 36

So probability = 30/36 = 5/6

Hence 4th option is the correct one.

3 0

3 years ago

Evaluate the radical. 1000−−−−√3

scoray [572]

( 1000 )^1/3
= ( 10 ^3 )^ 1/3

= ( 10 ) ^ 3 × 1/3

= 10

I hope this will useful to you.

6 0

3 years ago