The given conditional statement is : If 7<5, then 5<3.
Inverse: If 7≥5 then 5≥3 (The inverse is true)
Contrapositive: if 5≥3 then 7≥5 (The contrapositive is true)
Converse: if 5<3 then 7<5 (The converse is true)
From the properties of conditional statement we know that:
if p→q then
- inverse is :

- contrapositive:

- Converse:

Let us elaborate on the above conditions. Let us take two statement p and q such that If p happens then q also happens.
- The inverse of a conditional statement is given as "if not p then not q"the converse is given as "if q then p"The contrapositive of the statement states "if not q then not p"
- The following statements can be used for converting the conditional statements to its inverse, converse or contrapositive.
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Answer:
This is a constant problem. He kept on spending 1/3 of his money. The inverse number of 1/3 is 3. Basically the fraction flipped. So he spent 1/3 of his money 4 times. So we multiply 16*3*3*3*3. Multiply by 3 four times. 16*3 is 48. 48*3 is 144. 144*3 is 432. 432*3 is 1296. He started with 1296 dollars. If hes a kid hes rich.
Step-by-step explanation:
Answer:
$5,250
Step-by-step explanation:
2/7x - [4/5(2/7x)] = 300
2/7x - 8/35x = 300
10/35x = 8/35x = 300
2/35x = 300
2x = 10500
x = 5250
Answer:
The percentage rate is 4.5%.
Step-by-step explanation:
The given formula for simple interest is I=prt where I=simple interest, p=principle, r = percentage rate and t=time. In the problem, we are told that after six years (t=6), $7000 (p=7000) earns $1890 (I=1890). We can then substitute in the values for three of our variable to get the following: 1890 = (7000)(6)r. Multiplying 7000x6 = 42000 giving us 1890 = 42000r. Using inverse operations, we divide both sides of the equation by 42000 to get 0.045 = r. Since r = percentage rate, we need to multiply our decimal by 100 to find the percentage. 0.045 x 100 = 4.5%.
The expression which is equivalent to 1/4 (5x + 6) is; Choice A: {5(1/4)x} + {6(1/4)x}.
According to the question:
- We are required to determine an expression which is equivalent to <em>1/4 (5x + 6).</em>
In a bid to expand the expression; we must multiply each term in the parenthesis by (1/4);
In essence; we have;
- <em>{5(1/4)x} + {6(1/4)x}</em>
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