Answer:
Two consecutive numbers whose squares differ by 33 are 16 and 17
Step-by-step explanation:
lets assume first number be x
since numbers are consecutive , so other number will be x + 1
From given information in question
(x + 1)² - x² = 33
⇒ (x² + 1² + 2x) - x² = 33 [ since (a+b)² = a² + b² + 2ab ]
⇒ x² + 1² + 2x - x² = 33
⇒ 2x + 1 = 33
⇒ 2x = 33 - 1
⇒ x = 32/2 = 16
so one number is x = 16 and other number is x + 1 = 16 + 1 = 17
lets recheck our solution
17² - 16² = 289 - 256 = 33 , And since difference is 33 , two required consecutive numbers are 16 and 17.
Answer:
On a full tank of gas Jocelyn would be able to travel approximately 617 km
Step-by-step explanation: To find the distance compared to fuel to the amount of fuel you would have to take the fuel efficiency and divide the amount of fuel in the tank by such, by that estimate you'd be able to approximate the distance that would be able to travel per interval of fuel used. I hope this helped, have a wonderful day ^^
Answer:6
Step-by-step explanation: It asking you for what is equivalent am I correct? So you have to be looking for the equivalent meaning (equal) decimal so the equivalent fraction shown but a decimal of the same fraction so the answer would be 6
Because most of his employees are making close to the lower amount of around 40-45 thousand. But he employs some people at around 65-70 thousand which brings the average up to 52,000
Answer:
The numbers are 23 and 7
Step-by-step explanation:
1. Set up the equations
Let x = the greater number
and y = the smaller number. Then
(1) x - y = 16
4y = 4 times the smaller number and
4y - 5 = 5 less than 4 times the smaller number. Then
(2) x = 4y - 5
You have a system of two equations:
2. Solve the equations
The larger number is 23; the smaller number is 7.
3. Check
OK.
