Choosing blue, green, or yellow wall paint with white, beige, or gray curtains
2 answers:
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Answer:
The jar has 32 dimes and 18 quarters
Step-by-step explanation:
<u>To solve this problem we can create a system of linear equations in terms of two-variables (say </u><u> and </u>
<u>) and solve it.</u> To begin let us analyze the problem further. We know that the values of each coin type are:
Dimes ( ) = $0.10
Quarters( ) = $0.25
Total Value = $7.70
Total Coins = 50
Now let us set up our system of equations as:
Eqn.(1)
Eqn.(2)
Lets take Eqn.(2) and rerrange it to solve for as:
Eqn.(3)
Now lets plug this, in Eqn.(1) so we get the value of as:
Plugging in back in Eqn.(3) we finally have:
Thus we conclude that in the jar the coins are:
Dimes ( )
Quarters( )
Answers:
See below
Step-by-step explanation:
First transformation
Reflection about the line y = 6.
This inter-converted Points A and C and Points B and D.
The coordinate transformations were (Fig. 1):
A: (-8, 8) ⟶ (-8, 4)
B: (-2, 8) ⟶ (-2, 4)
C: (-8, 4) ⟶ (-8, 8)
D: (-2, 4) ⟶ (-2, 8)
Second transformation
Translation 10 units to the right and 14 units down.
The coordinate transformations were (Fig. 2):
A: (-8, 4) ⟶ (2, -10)
B: (-2, 4) ⟶ (8, -10)
C: (-8, 8) ⟶ (2, -6)
D: (-2, 8) ⟶ (8, -6)
The transformations were:
- Reflection about the line y = 6
- Translation 10 units to the right and 14 units down
