D= 11.40
The distance between the coordinates is 11.40 units.
∛(-45) = ∛((-1) × 45) = ∛(-1) × ∛45 = -∛45
Similarly,
∛(-101) = - ∛101
Now,
• 3³ = 27 and 4³ = 64, and 27 < 46 < 64, so ∛27 < ∛45 < ∛64, which places ∛45 between 3 and 4
• 5³ = 125, so ∛101 would similarly fall between 4 and 5
So to summarize, we have
3 < ∛45 < 4 < ∛101 < 5
so that
-5 < ∛(-45) < -4 < ∛(-101) < -3
so the integer between these numbers is -4.
Answer: As given, relationship between the number of hours a plumber works and the total work fee she charges is proportional.
The meaning of proportional is Ratio of number of hours a plumber works and the total work fee she charges is constant.
Using Unitary method
5 hours of work = $350
1 hours of work = $70
Let number of hours worked = x hours
Amount earned for x hours of work is represented by = $ y
For , x hours of work amount earned = 70 x (x=1,2,3...)
→y= 70 x
→→
Step-by-step explanation:
Answer: there are 59059 lbs of gravel.
Step-by-step explanation:
In a mixture of concrete, there are four lbs of cement mix for each pound of gravel. This means that eight lbs of cement would be mixed for 2 pounds of gravel and 12 lbs of cement would be mixed for 3 pounds of gravel and 12. Therefore, the constant ratio of cement to gravel is 4:1
The total ratio is 4 + 1 = 5
If the mixture contains a total of 295295 lb of these two ingredients, then the number of pounds of gravel that are there is
1/5 × 295295 = 59059 lbs
Solution to the system of equation (-2,5)
