Answer:
If x + 1 is odd, then x is even.
Step-by-step explanation:
The converse of the statement ...
if P, then Q.
is ...
if Q, then P.
Here, we have P="x is even" and Q="x+1 is odd". The converse statement is ...
if x+1 is odd, then x is even.
Answer:
x=7
y=18
The length of each of the two shorter sides is 14.
The length of each of the two longer sides is 19.
Step-by-step explanation:
2x+5 = x+12 and y-4 = x+5
Solve for x first
2x+5-5 = x+12-5 Subtract 5 from both sides to eliminate it.
2x-x = x-x+7 Subtract x from both sides to eliminate it.
x=7 Now, substitute 7 for x in y-4 = x+5 to solve for y.
y-4 = (7)+5
y-4 = 12
y-4+4 = 12+4 Add 4 to both sides to eliminate it.
y = 18
Finally, we can substitute 7 for x and 18 for y in all equations to see the lengths of each side.
(18)-4=14 The length of each of the two shorter sides is 14.
2(7)+5=19 The length of each of the two longer sides is 19.
Answer:
Answer: 67.97%
Step-by-step explanation: BEWARE: THE ANSWER IS NOT 39.56%.
5^(x+3)=25^(x-2)
Apply the exponent rule ( 5 ^2 = 25, so remove the 5 and replace 25?with 2)
x + 3 = 2(x-2)
Simplify:
X + 3 = 2x -4
Add 4 to both sides:
X + 7 = 2x
Subtract x from both sides
X = 7
Answer: x = 7
Answer:
64 weeks
Step-by-step explanation:
Given that you already have $400 saved and you save $50 per week, in x weeks, you would have saved:
400 + (50 * x)
Also, given that Mr Brierley has $2000 in his bank account and he saves $25 per week, in x weeks, he would have:
2000 + (25 * x)
You and Mr Brierley would have the same amount of money when:
400 + (50 * x) = 2000 + (25 * x)
Solving for number of weeks, x, we have:
400 + 50x = 2000 + 25x
Collecting like terms:
50x - 25x = 2000 - 400
25x = 1600
x = 1600 / 25
x = 64
Hence, it will take 64 weeks for you and Mr Brierley to have the same amount of money.
