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KIM [24]
3 years ago
15

For each pair of numbers, tell: By what percent of the first number is the second number larger? By what percent of the second n

umber is the first number smaller? 100 and 110
Mathematics
1 answer:
Andrei [34K]3 years ago
6 0

Answer:

110 is 110% of 100. 100 is 90.90 repeating% of 110.

Step-by-step explanation:

100x = 110

110/100 = 1.1

110x = 100

100/110 = 0.90 repeating

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The dimensions of a rectangle are √50a^3b^2 and √200a^3. What is the students error?
bearhunter [10]

Answer:

The student incorrectly simplified 30ab\sqrt{2a}+20a\sqrt{2a} .

Thus, option D is correct.

<u></u>

Step-by-step explanation:

The formula to determine the Perimeter of a rectangle of width w and length l is expressed as:

P = 2l + 2w

In other words, the perimeter can be determined by multiplying the length and width by 2 and adding the result.

In our case, the dimensions of a rectangle are \sqrt{50a^3b^2}  and  \sqrt{200a^3}\:\:.

Here is the student's solution:

2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}

                                 =10ab\sqrt{2a}+20a\sqrt{2a}

                                 =30ab\sqrt{2a}          

The student made an error in calculating 30ab\sqrt{2a}+20a\sqrt{2a} , because 30ab\sqrt{2a}+20a\sqrt{2a} are not like terms.

Hence, 30ab\sqrt{2a}+20a\sqrt{2a} can not be simplified to 30ab\sqrt{2a}

Therefore, the student incorrectly simplified 30ab\sqrt{2a}+20a\sqrt{2a} .

Thus, option D is correct.

<u></u>

<u></u>

<u>Here is the correct Solution:</u>

2\sqrt{50a^3b^2}+2\sqrt{200a^3}=2\cdot 5ab\sqrt{2a}+2\cdot 10a\sqrt{2a}

                                 =10ab\sqrt{2a}+20a\sqrt{2a}

7 0
3 years ago
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timama [110]

Answer:

9 x 6=  9 x ( 3+3 )

= 9 x 3 + 9 x 3

= 27 + 27

= 54

Step-by-step explanation:

3 0
2 years ago
If you have budgeted 12% of your monthly income for groceries, how much can you spend on groceries if you earn $950 bi-weekly?  
velikii [3]
The answer would be D because 12% of $1,900(the amount you earn monthly) is 228
7 0
3 years ago
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The East Company manufactures several different products. Unit costs associated with Product ORD105 are as​ follows: Direct mate
vlada-n [284]

Answer:

18%

Step-by-step explanation:

The computation of the percentage of the total fixed costs per unit is shown below:

= Total fixed cost ÷ Total cost

where,

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= $36

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Simplify each write as a smaller fractions or mixed number 6 / 18
miv72 [106K]
6/18= 1/3 a simplest fraction
7 0
3 years ago
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