<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.
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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>
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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>
To determine the rate of a number do the following steps:
Multiply the number by the percent (e.g. 87 * 68 = 5916)
Divide the answer by 100 (Move decimal point two places to the left) (e.g. 5916/100 = 59.16)
Round to the desired precision (e.g. 59.16 rounded to the nearest whole number = 59)
You require the Pythagorean Theorem: in a right triangle, the sum of the squares of the legs equals the square of the hypotenuse.In this case 6^2 + 8^2 = 36 + 64 = 100 = 10^2
the hypotenuse is 10.
Problem 1
Jahmal has p pairs of shoes.: p
Kyle has one less than five times as many pairs of shoes as Jahmal.: 5p - 1
Total: p + 5p - 1 = 6p - 1
Answer: 6p - 1
Problem 2
The problem gives the original price as g. there is no s mentioned in the problem, so I don't see how you can express the higher price in terms of s. Of course, it could be that the original price is s, not g, so then just replace g with s in my answer.
The new price is g plus 15% of g.
g + 15% of g =
= g + 0.15g
= 1.15g
Answer: 1.15g
Problem 3
One package of markers costs m. 7 packages of markers cost 7m. Now you need to add 9% of 7m to 7m. If you consider 7m to be 100%, if you add 9% to 100%, you get 109%, so you need to express 109% of 7m. To find a percent of a number, multiply the percent by the number. To find 109% of 7m, multiply 109% by 7m.
109% * 7m = 1.09 * 7m = 7.63m
Answer: 7.63m
Problem 4
She earns $2.15 per hour and works 10 hours.
$2.15/hour * 10 hours = $21.50
From her salary, she earns $21.50 for the 10-hour shift.
Her customer receipts totaled r, and she earns 20% of r in addition to her salary. 20% of r = 0.2r. She earns $21.50 + 0.2r
Answer: $21.50 + 0.2r
