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2 years ago

I need this ASAP!!!!

Mathematics

1 answer:

lubasha [3.4K]2 years ago

8 0

Answer:

23/2 is already in the simplest form. It can be written as 11.5 in decimal form

Step-by-step explanation:

23 2 = 22 2 + 1 2 = 11 + 1 2 = 11 1 2

This fraction cannot be simplified any further because there is no common divisor for 1 and 2 other than 1

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On a certain IQ test, eleven people averaged a 101.5. A certain reality TV star took

dem82 [27]

Answer:

59.98

Step-by-step explanation:

To find the average of a set of numbers, we sum them all together and divide them by the size of the set. Here, we start out with 11 IQ scores. We don't know what they are, but we can still set up an equation with the information we do have. Let's call the sum of those 11 score s. The average must be s/11, which we know is 101.5. With that, we can set up and solve and equation for s:

$\dfrac{s}{11}=101.5\\s=101.5(11)\\s=1116.5$

Let's call the score of the reality TV star r. If we add their score to the set, we now have 12 scores. The sum of those scores is gonna be the sum of the previous scores, 1116.5, plus the reality TV star's score, r. To find the average, we divide the sum by 12. Finally, we're told that this average is exactly 98.04. Putting all of this into an equation gives us

$\dfrac{1116.5+r}{12}=98.04$

We can now solve for r algebraically, first by multiplying both sides by 12:

$1116.5+r=98.04(12)\\1116.5+r=1176.48$

And then subtracting 1116.5 from both sides:

$r=1176.48-1116.5\\r=59.98$

6 0

2 years ago

What numbers have an absolute value of -3

lisov135 [29]

Answer: ? Maybe 3???

Step-by-step explanation:

6 0

2 years ago

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57 plus what equals 86

Jet001 [13]

Answer:

Step-by-step explanation:

57+x=86

x=86-57

x=29

3 0

2 years ago

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A professional volleyball player can jump an average of 2.5 times higher than the average person. If an an average person can ju

lions [1.4K]

First of all, we know that a professional volleyball player can jump an average of 2.5 times higher than the average person which means that the player could jumps 2.5 times higher than the normal do. For example, if the normal people jumps 3 inches height, the professional player could jumps 2.5(3)=7.5 inches height. In this case, if an an average person can jump 2x inches high which leads to that the professional player could jumps 2.5(2x) higher. As a result, C is your final answer. Hope it help!

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2 years ago

Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o

loris [4]

Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is 60 inches .

The problem says that the new design has length 3x inches longer and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design which is 36 inches .

Thus new length of rug is ( 3x + 36 ) inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is ( x + 60 ) inches .

Area of rectangle is Length * Width

Area of new rug is ( 3x + 36 ) * ( x + 60 )

We distribute the terms using FOIL method .

( 3x + 36 ) *( x + 60 ) = 3x ( x + 60 ) + 36 ( x + 60 )

= 3x² + 3x * 60 + 36 x + 36 * 60

= 3x² + 180 x + 36 x + 2160

Combining like terms , 3x² + 216 x + 2160

Thus the area of the rug with the new dimensions is

( 3x + 36) ( x + 60 ) = 3x² + 216 x + 2160 .

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2 years ago

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