Answer:
She has 15 more purple rocks than blue.
Step-by-step explanation:
purple= 2/3 of all rocks
blue= 3/4 of all rocks that aren't purple
silver= 3 (or 1/4 of all rocks that aren't purple)
if 3 (silver) is 1/4 of all rocks that aren't purple, blue (3/4) is 3x3=9
if purple is 2/3 of all rocks, blue and silver are 1/3 of all rocks
so 1/3 of all rocks would be 9+3=12
if 1/3=12, then 2/3 (purple)=24
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At this point:
purple=24
blue=9
silver=3
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purple (24) - blue (9) =15
She has 15 more purple rocks than she does blue.
Answer:
Notebooks cost $2.75 and pens cost $1.10.
He can also buy 3 notebooks.
Step-by-step explanation:
In order to find this, we need to create two equations given each of the situations.
3n + 2p = 10.45
4n + 6p = 17.60
Now to solve for n, multiply the top equation by -3 and add together.
-9n - 6p = -31.35
4n + 6p = 17.60
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-5n = -13.75
n = 2.75
Now that we have the value of notebooks, we can find the amount for pens using either equation.
3n + 2p = 10.45
3(2.75) + 2p = 10.45
8.25 + 2p = 10.45
2p = 2.20
p = 1.10
Finally, to find the number of notebooks that he can purchase, find the cost of a notebook with 3 pens.
n + 3p
2.75 + 3(1.10)
2.75 + 3.30
6.05
Now divide 22 by that number
22/6.05 = 3.63
Since we can't have fractional notebooks, we round down to 3.
Answer:
(3.2, 0.6)
Step-by-step explanation:
means a translation of (x, y) → (x - 5.2, y + 1.4)
Suppose X has coordinates (a, b), after the translation is applied, X' has coordinates (a - 5.2, b + 1.4). X' is located at (-2, 2), therefore:
a - 5.2 = -2
a = -2 + 5.2
a = 3.2
b + 1.4 = 2
b = 2 - 1.4
b = 0.6
Answer: 11
Step-by-step explanation:
5 + k If k is equal to 6 then input 6 in for k and solve.
5 + 6 = 11
<span>The factors of 60 are 60, 30, 20, 15, 12, 10, 6, 5, 4, 3, 2, 1.The factors of 75 are 75, 25, 15, 5, 3, 1.<span>The common factors of 60 and 75 are 15, 5, 3, 1, intersecting the two sets above.</span><span>In the intersection factors of 60 ∩ factors of 75 the greatest element is 15.</span><span>Therefore, the greatest common factor of 60 and 75 is 15.
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