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Effectus [21]
3 years ago
12

Estimate the unit rate if 12 pairs of socks sell for $5.79

Mathematics
1 answer:
elena55 [62]3 years ago
8 0
You divide the amount by total price for the unit rate. 5.79$ divided by 12, is about 0.48 or .48 cents.
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expeople1 [14]
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3 years ago
How many passwords of 5 characters (numbers or letters) can be created if repeats are allowed
alex41 [277]

Answer:

at least 290,000

Step-by-step explanation:

Why is this a question

4 0
3 years ago
For what value of p will the pair of linear equations have infinitely many solutions (p-3)x + 3y = p , px+ py = 12
sleet_krkn [62]

Answer: p = 6


Step-by-step explanation:

HI !


 px + 3y - ( p-3)=0


a₁ = p , b₁ = 3 , c₁ = - (p-3)


=====================


12x + py - p=0


a₂ = 12  , b₂ = p , c₂ = -p


since , the equations have infinite solutions , 


a₁/a₂ = b₁/b₂ = c₁/c₂


p/12 = 3/p =  p-3/p



--------------------------------------


p/12 = 3/p


cross multiply ,


p² = 36


p = √36

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for the value of p = 6 , the equations will have infinitely many solutions





5 0
3 years ago
There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the
liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0
3 years ago
Michael puts 3 beads next to each other
mihalych1998 [28]
When we multiply a whole number with a fraction, we can think of the whole numbers as "over one"...

5 3 5 15
3 * --- = --- * ---- = ----
6 1 6 6

We can further simplify the fraction, by dividing numerator and denominator by 3...

15 15 / 3 5
--- = ------- = ----
6 6 / 3 2

Since this is an improper fraction, we need to turn it into a mixed number...

5 2 + 2 + 1 2 2 1 1 1
---- = -------------- = --- + ---- + --- = 1 + 1 + ---- = 2 --- or 2.5
2 2 2 2 2 2 2
6 0
3 years ago
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