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AURORKA [14]
1 year ago
8

Divide:5.52 x 1031.2 x 105Write your answer in scientific notation. For example, you'd enter 2.3*10^4 for 2.3 x 104

Mathematics
1 answer:
IrinaK [193]1 year ago
8 0

The question can be solved as follows:

\frac{5.52\times10^3}{1.2\times10^5}=\frac{5.52}{1.2}\times10^{-2}=4.6\times10^{-2}

Hence the value of the given expression in scientific notation is expressed as:

\frac{5.52\times10^3}{1.2\times10^5}=4.6\times10^{-2}

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Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

Then length is = w+12 inches

As given, 4 inch squares are cut from each corner;

So, the width is = w-8 inches

Length is = w+12-8=w+4 inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, 256=(w+4)(w-8)(4)

=> 256=(w^{2}-4w-32)4

=> 64=(w^{2}-4w-32)

=> w^{2} -4w=96

or w^{2} -4w-96=0

=> w^{2} -12w+8w-96=0

=> w(w-12)+8(w-12)=0

We get , (w+8)=0 ; w = -8(neglect the negative value)

(w-12)=0 ; w = 12 inches

And length = 12+12=24 inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : 256=(w+4)(w-8)(4)

256=(12+4)(12-8)(4)

=> 256=(16)(4)(4)

=> 256=256

5 0
3 years ago
Jai bought 2 pounds of grapes for $2.49 per pound and 3 muffins for $ .75 per muffin. How much did he pay for the grapes and muf
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Answer:

$7.23

Step-by-step explanation:

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3 0
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A family pays $45 each month for cable television. the cost increases 7%.a. how many dollars is the increase?the increase is $.b
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State which of the following ordered pairs is a function. Set A: (-1, 0), (-2, 1), (4, 3), (3, 4) Set B: (1, 4), (2, 3), (3, 2),
liubo4ka [24]
Sets A and B are both functions because they all have different x values. Set C is not a function because it repeats the x value of 2 and gives it two different y values.
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3 years ago
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Damon's father started a college fund on Damon's 8th birthday. He deposited $7500 into a CD (certificate of credit) that yields
algol13

Answer:

7672.50

Step-by-step explanation:

7500×0.23%=17.25

17.25×10=172.50

7500+172.50=7672.50

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