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3 years ago

468/8 * 5 mixed number, decimal and exact form thanks for the help ;)

Mathematics

2 answers:

dusya [7]3 years ago

8 0

585/2 for exact form

292.5 for decimal form

292 1/2 for mixed number form

Natalka [10]3 years ago

5 0

468/8 * 5

For the mixed number we will first multiply 8*5 = 40
Causing 468/40 leaving us with 11 1/2!

Exact form = 585/2!

Decimal form is 11.5
Hope I helped!

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Step-by-step explanation:

Let's start defining the variables.

X : ''Number of 1 - point free throws''

Y : ''Number of 2 - point baskets''

Z : ''Number of 3 - point baskets''

UMBC scored a total of 74 points. Therefore,

$X.1+Y.2+Z.3=74$ (I)

Where X.1 represents the total points from 1 - point free throws.

Where Y.2 represents the total points from 2 - point baskets.

And finally Z.3 represents the total points from 3 - point baskets.

Reading the exercise, we can write two more equations :

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Let's write Y and X in terms of Z

$Y=Z+2$ (II)

$Z=X+2$ ⇒ $X=Z-2$ (III)

Replacing (II) and (III) in (I) :

$(Z-2).1+(Z+2).2+Z.3=74$

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$6Z+2=74\\6Z=72\\Z=12$

We find that the variable Z is 12. Replacing this value in (II) and (III) ⇒

$Y=12+2=14\\Y=14$

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Finally, UMBC scored 10 baskets from 1 - point free throws,14 baskets from of 2 - point and 12 baskets of 3 - point.

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3 years ago

Read 2 more answers

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