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3 years ago

Explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)

1 answer:

4 0

The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

Given the expression 256 + 4. This can be solved using the partial sum expressed as:

256 + 4

= (200 + 40 + 16) + 4

According to the commutative property, A+B = B+A

The arrangement does not affect the result. Hence;

(200 + 40 + 16) + 4 = 4 + (200 + 40 + 16)

Using the distributive law;

4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)

Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

Learn more on partial sum here: brainly.com/question/6958503

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Express each number in its simplest radical form. <br> √6⋅√60=?

Tom [10]

Answer:

6√10

Step-by-step explanation:

factorizing 6 and 60

6 = 2 x 3

60 = 2 x 2 x 3 x 5

hence

√6 · √60

= √ [ (2 x 3) · (2 x 2 x 3 x 5) ]

= √ (2· 2² · 3² · 5)

= √ (2² · 3²) x √(2·5)

= (2 · 3) x √10

= 6√10

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3 years ago

Read 2 more answers

paul paid $25.50 for 3 cups of hot chocolate and 4 cups of hot tea. the cost of each cup pf tea was 2.3 the cost of each cup of

Bumek [7]

How To Solve It:

$2.30 x 4 = $9.20

$25.50 - $9.20 = $16.30

$16.30 ÷ 3 = $5.43

Answer:

Each cup of hot chocolate costs $5.43

I hope this helps! :)

5 0

4 years ago

Tom ate 1/2 of the leftovers. How much pie in all did he eat

melisa1 [442]

1/2+1/2=2/2=1 so 1/2 was eaten and the other half was leftovers.

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4 years ago

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The weights of red delicious apples are approximately normally distributed with a mean of 9 Ounces and a standard deviation of 0

Simora [160]

Answer:

The mean of W is 55 ounces.

The standard deviation of W is 4.33 ounces.

Step-by-step explanation:

Let X: weight of a red delicious apple, and B: the weight of the box and packing material.

The distribution that will represent W: the total weight of the packaged 5 randomly selected apples will be also normally distributed.

Applying the property of the mean: $E(aX)=aE(X)$ , the mean of W will be:

$\mu_W=E(W)=E(5X+B)=5E(X)+E(B)=5*9+10=45+10=55$

Applying the property of the variance: $V(aX+b)=a^2V(X)$ , the variance of W will be:

$\sigma^2_W=V(W)=V(5X+B)=5^2V(X)+V(B)=25*0.75+0=18.75$

The mean standard deviation of W will be the squared root of V(W):

$\sigma_W=\sqrt{V(W)}=\sqrt{18.75}=4.33$

The mean of W is 55 ounces.

The standard deviation of W is 4.33 ounces.

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4 years ago

Add the two expressions.<br><br> −2.4n−3 and −7.8n+2

Sphinxa [80]

Answer:

-10.2n - 1

Step-by-step explanation:

We have two expressions in variable n and we have to add the two expressions.

An important thing to note is that only like terms can be added. i.e. the term with "n" can only be added or subtracted to the term with "n". Similarly a constant can only be added or subtracted to a constant.

$(-2.4n-3)+(-7.8n+2)\\=-2.4n-3-7.8n+2\\=-2.4n-7.8n-3+2\\=-10.2n-1$

Thus, the two given expressions add up to -10.2n - 1

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3 years ago

Explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)​

Explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)