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GREYUIT [131]
3 years ago
5

What does the distributive property combine to make multiplying whole numbers simpler

Mathematics
1 answer:
n200080 [17]3 years ago
8 0

The distributive property in a given field combines multiplication with addition, that is in a field <span>F<span>, any elements <span><span><span>a<span>,b</span></span> and </span><span>c which satisfy the following rule:</span></span></span></span>

<span>a(b+c<span>)=</span><span>ab</span>+<span>ac</span></span>

<span><span> </span> </span>

<span>The whole numbers are a subset of the field </span><span>R, which is composed of all rational and irrational numbers, hence the whole numbers satisfy this property. Therefore, if I wish to multiply 5 and 10, I can split this down to simplify the problem (or simply highlight the logical reasoning behind how long multiplication works.) To demonstrate:</span>

<span>5∗10=5∗(2+8<span>)=</span>5∗2+5∗8=10+40=50</span>

<span> </span>

 

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Phil has two rectangular prisms. The height of the second prism is 1/2 times the height of the first prism. The lengths and widt
Vesnalui [34]

The volume of the second prism is also ten times the volume of the first prism.

Let's assume that both prisms have:

width = 3 units

height = 4 units

Prism 1 length = 5 units

Prism 2 length = 50 units

Let's solve their respective volumes to compare...

Volume of prism 1 = length * width * height

                             = 5 * 3 * 4

                             = 60 units ^3

Volume of prism 2 = 50 * 3 * 4

                             = 600 units ^3

Prism 2/ prism 1 = 10

That means prism 2 is ten times the volume of prism 1.

6 0
3 years ago
Jessica is selling books during the summer to earn money for college. She
faltersainse [42]
It’s c I just took the test and got a hundred
4 0
3 years ago
Find the 14th term of the following geometric sequence.<br> 4, 8, 16, 32, ...
xz_007 [3.2K]

Answer:

65536

Step-by-step explanation:

multiply each term by 2 until you get to the 14th term. the 14th term is 65536

4 0
3 years ago
Read 2 more answers
Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)
vichka [17]

Answer:

see below

Step-by-step explanation:

Part A:  (72)^x = 1

Take the log base 72 of each side

log72(72^x) = log 72(1)

We know log a^b = b log a

x log72(72) = log72(1)

x =  log72(1)

x = 0

Part A:  (70)^x = 1

Take the log base 70 of each side

log70(70^x) = log70(1)

We know log a^b = b log a

x log70(70) = log70(1)

x =  log70(1)

x = 0

7 0
3 years ago
the Wall Street Journal reported that automobile crashes cost United States $162 billion annually. The average cost per person f
Tanya [424]

Answer:

a) Margin of error = 166.311

b) sample size ≥ 62

Step-by-step explanation:

Given:

Average cost = $1599

Sample size = 50 persons

Standard deviation = $600

Confidence level is 95%

a) Margin of error = z\frac{\sigma}{\sqrt{n}}

Now for confidence level of 95% z-value = 1.96

Thus,

Margin of error = 1.96\frac{600}{\sqrt{50}}

or

Margin of error = 166.311

b) For Margin of error ≤ 150

z\frac{\sigma}{\sqrt{n}} ≤ 150

or

1.96\frac{600}{\sqrt{n}} ≤ 150

or

1.96\frac{600}{150} ≤ √n

or

√n ≥ 7.84

or

n ≥ 61.4656

Therefore,

sample size ≥ 62

6 0
4 years ago
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