Conditional statement is a statement with a hypotesis and a conclusion:
If
, then
or mathematically
.
Converse statement of
is statement
.
If you negate (that means stick a "not" in front of) both the hypothesis and conclusion, you get the inverse:
.
Finally, if you negate everything and flip p and q (taking the inverse of the converse) then you get the contrapositive:
.
Then,
Answer: the correct choice is D (the inverse of the original conditional statement).
Step-by-step explanation:
Let the price of each pounds of bananas be x andthe price of each pounds of grapes be y.
ATQ,
3x+4y = 10.25 ...(1)
2x+2y = 5.5 ..(2)
Multiply equation (2) by 2.
4x+4y = 11 ...(3)
Now, subtract equation (1) from (3).
4x+4y-(3x+4y) = 11-10.25
4x+4y-3x-4y = 0.75
x = 0.75
Put the value of x in equation (2)
2(0.75)+2y = 5.5
1.5+2y = 5.5
2y = 5.5 - 1.5
2y = 4
y = 2
So, there are 0.75 pounds of bananas and 2 pounds of grapes.
Answer:
5 hot dogs and 9 cookies
Step-by-step explanation:
1.5(5)+0.75(9)<15
7.5+6.75=14.25
This is false, since moving the decimal point to the left makes the number smaller. Therefore, the number on the exponent should be negative.