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sertanlavr [38]

3 years ago

13

A company paid $48 for 2 cases of printer paper. Each case contained 12 packages of paper. Next month the company’s office manag

er needs to order 180 packages of the same paper. If the price per package does not change, what would be the total cost of next month’s order?

1 answer:

il63 [147K]3 years ago

7 0

Since 2 cases = $48

÷ 48 by 2 to get the cost of one case of paper

48÷2=$24 per case
and each case has 12 pack of paper

so $24 for 12 packs of paper

180÷12=15, which gives you the number of case you need

15 cases × $24= $360 for 180 packs

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Use decimals and fractions in the same equation showing the Commutative Property. Repeat for the Associative Property.

Anna71 [15]

For Commutative Property of Addition

Let us take a decimal number $2.14$ and a fraction $\frac{5}{20}$

Now, according to the Commutative property of Addition:

For any two numbers $a$ and $b$ :

$a+b = b+a$

So, for $2.14$ and $\frac{5}{20}$

Let us add

$2.14+\frac{5}{20} = \frac{214}{100} +\frac{5}{20}$

$=\frac{214}{100} + \frac{5 \times 5}{20 \times 5} \\ \\=\frac{214}{100} + \frac{25}{100} \\ \\= 2.14 + 0.25 \\ \\ = 2.39$

Also,

$\frac{5}{20} + 2.14 = \frac{5}{20} + \frac{214}{100}$

$= \frac{5 \times 5}{20 \times 5} +\frac{214}{100} \\ \\= \frac{25}{100} + \frac{214}{100} \\ \\= 0.25 + 2.14 \\ \\ = 2.39$

Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Commutative Property of Addition is satisfied.

For Associated Property of Addition

Let us take two same decimal numbers $2.14$ , $7.25$ and a fraction $\frac{5}{20}$

Now, according to the Associated property of Addition:

For any three numbers $a$ , $b$ and $c$

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

So, for $2.14$ , $7.25$ and $\frac{5}{20}$

The Left hand side:

$a + (b+c)$

$2.14 + (7.25 + \frac{5}{20}) = 2.14 + (\frac{725}{100} + \frac{5 \times 5}{20\times 5})$

$= 2.14 + (\frac{725}{100} + \frac{25 }{100})$

$= 2.14 + (\frac{750}{100} )$

$= \frac{214}{100} + \frac{750}{100}$

$= \frac{964}{100}$

$=9.64$

The Right hand side:

$(a + b )+c$

$(2.14 + 7.25 )+ \frac{5}{20}= ( 9.39 ) + \frac{5 }{20}$

$= 9.39 + \frac{5 \times 5 }{20 \times 5}$

$= 9.39 + \frac{25}{100}$

$= 9.39 + 0.25$

$= 9.64$

Thus,

$(2.14 + (7.25 + \frac{5}{20} )= (2.14 + 7.25 )+ \frac{5}{20}$

Therefore, $2.14+\frac{5}{20} = \frac{5}{20} + 2.14$

Hence, Associative Property of Addition is satisfied.

8 0

3 years ago

Can I have some help, I’ll mark you brainliest!!

riadik2000 [5.3K]

Answer:

7

Step-by-step explanation:

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How many times does 3 go into 9

AVprozaik [17]

3 go into 9 3 times

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3 years ago

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4. Which expression is equivalent to sin(50)º?

jasenka [17]

Answer:

cos(400)

Step-by-step explanation:

Useful things:

Cofunction identity: sin(x)=cos(90-x)

Sine and cosine have period of 360 degrees.

So sin(50)=cos(40) by cofunction identity.

Since cosine has period of 360 degrees then cos(40)=cos(360+40).

That simplifies to cos(400).

3 0

3 years ago

Can someone help me please

Lady bird [3.3K]

Answer: 12.50$

Explanation: 5.25$ (per pound) and he wants 3 pounds so we multiply 5.25x3 which equals 15.75 and then we subtract 3.25 (because of the coupon) which makes your final answer 12.50$

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3 years ago