9514 1404 393
Answer:
Dawn has $1670 in account 1 and $1570 in account 2.
Step-by-step explanation:
Dawn can multiply the second equation by 8 and add 7 times the first equation.
8(3/8A +7/8B) +7(A -B) = 8(2000) +7(100)
10A = 16,700
A = 1670
B = 1570 . . . . 100 less than A
Dawn has $1670 in account 1 and $1570 in account 2.
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<em>Check</em>
3/8(1670) +7/8(1570) = 626.25 +1373.75 = 2000
Answer:
y=3x
Step-by-step explanation:
<span>In logic, the converse of a conditional statement is the result of reversing its two parts. For example, the statement P → Q, has the converse of Q → P.
For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the converse is 'if a figure is a parallelogram, then it is rectangle.'
As can be seen, the converse statement is not true, hence the truth value of the converse statement is false.
</span>
The inverse of a conditional statement is the result of negating both the hypothesis and conclusion of the conditional statement. For example, the inverse of P <span>→ Q is ~P </span><span>→ ~Q.
</span><span><span>For the given statement, 'If a figure is a rectangle, then it is a parallelogram.' the inverse is 'if a figure is not a rectangle, then it is not a parallelogram.'
As can be seen, the inverse statement is not true, hence the truth value of the inverse statement is false.</span>
</span>
The contrapositive of a conditional statement is switching the hypothesis and conclusion of the conditional statement and negating both. For example, the contrapositive of <span>P → Q is ~Q → ~P. </span>
<span><span>For the given statement, 'If a figure is a rectangle, then
it is a parallelogram.' the contrapositive is 'if a figure is not a parallelogram,
then it is not a rectangle.'
As can be seen, the contrapositive statement is true, hence the truth value of the contrapositive statement is true.</span> </span>
