The two numbers have 1 as a common factor and nothing else. Hence 1 is the HCF. This proves that the HCF of any two consecutive numbers is always a one.
Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.
Answer:
It is given that a car traveling at 23 mi/h accelerates to 46 mi/h in 5 seconds.
This means that in 5 seconds it's speed continuously increases to reach 46 mi/h from 23 mi/h.
It maintains that speed for 5 seconds and then slows to a stop in 5 seconds.
This means that the speed of the car is constant i.e. 46 mi/h i.e. the graph is a straight horizontal line parallel to the time axis.
And then it decreases to reach 0 mi/h.
Answer:
x = 6
Step-by-step explanation:
Given
3x + 30 + x = 10 + 2x + 5x + 2 , simplify both sides
4x + 30 = 7x + 12 ( subtract 7x from both sides )
- 3x + 30 = 12 ( subtract 30 from both sides )
- 3x = - 18 ( divide both sides by - 3 )
x = 6
Answer:
I believe the answer is D
Step-by-step explanation:
Inverse proportion occurs when one value increases and the other decreases
D is the answer because as each cat eats the same amount of dry cat food, there is less dry cat food in the bag; so this is why D best answers the question.
Hope this helps!
<h3>Answer:</h3>
$808.38
<h3>Explanation:</h3>
The formula for the payment amount (A) on principal P at interest rate r compounded monthly for a loan period of t years is ...
... A = P(r/12)/(1 -(1 +r/12)^(-12t))
For the main loan, the payment is ...
... A = 0.80·145000·(.0475/12)/(1 -(1 +.0475/12)^(-12·30)) = 605.11
For the piggyback loan, the payment is ...
... A = 0.20·145000·(.07525/12)/(1 -(1 +.07525/12)^(-12·30)) = 203.27
So, the total of monthly payments for the two loans is ...
... $605.11 +203.27 = $808.38
