11g greater than 5
Step-by-step explanation:
9514 1404 393
Answer:
(x, y) ⇒ (x -m, y -n)
Step-by-step explanation:
Reverse the arrow and solve for the x and y on the left:
(x +m, y +n) ⇒ (x, y)
This resolves to two relations:
x + m ⇒ x
x ⇒ x - m . . . . . subtract m
and
y + n ⇒ y
y ⇒ y - n . . . . . . subtract n
Putting these back together, we have ...
(x, y) ⇒ (x -m, y -n) . . . . . maps P'Q' to PQ
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The original translation was right m and up n. The reverse translation is left m and down n. That is what the rule shows.
Answer:
Step-by-step explanation:
If we let A, C, and J represent the number of stickers collected by Ann, Clair, and Josh. respectively, then we have the relations ...
A = J +7
J = 2C
A + C + J = 157
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Substituting the first equation into the last, we have ...
J +7 + C + J = 157
C +2J = 150 . . . . . . . collect terms, subtract 7
Substituting the second equation into this one, we have ...
C +2(2C) = 150
C = 150/5 = 30 . . . . divide by the coefficient of C
J = 2·30 = 60
A = 60 +7 = 67
Ann collected 67 stickers, Clair collected 30, and Josh collected 60 stickers.
Answer: There can be 2 gold 1 silver, 2 silver one gold, 3 silver, or 3 gold.
I'm not really sure if this is correct but I hope this helps:)
Answer:
11967.58
Step-by-step explanation:
The formula is
A=p(1+r/k)^(k×t)
A future value
P present value
R interest rate
K compounded monthly 12
T time
A=8,093×(1+(0.049÷12))^(12×8)=11967.58
