18. Let's start by finding the ratio, since this will make it easier to model it on the number line.
We can write 6 as
so
In order to do a division of fractions, we multiply both ends of the operation and put the result in the numerator, and then we multiply the two numbers in the middle and put them in the denominator:
In other words, the quotient is 8.
17. Now that we know the result of the operation, we simply mark the 8 on the number line:
Answer:
d. $680.
Step-by-step explanation:
Let x be the cost of garage door.
We have been given that the extended warranty on a garage door is $238 and the warranty costs 35% of the purchase price. This means 35% of x equals 238.
We can represent this information in an equation as:
Therefore, the cost of garage is $680 and option d is the correct choice.
Answer:
398259
Step-by-step explanation:
Let from the given positive integers, x be the smallest integers,
Also, numbers are consecutive,
So, the second integer = x + 1,
Third integer = x + 2,
According to the question,
By middle term splitting,
By zero product property,
x-50 = 0 or x + 52 =0
⇒ x = 50 or x = -52 ( not possible )
Hence, numbers are 50, 51, 52,
∵ (50)³ + (51)³ + (52)³ = 125000 + 132651 + 140608 = 398259