Answer:
16. a = 13
Step-by-step explanation:
Equation: y = -4(-2) + 5
1) Multiply -4 with -2. Whenever you multiply two negatives, the product turn into a positive number; therefore, -4(-2) = 8
2) Then, add 8 and 5 which is 13.
Hope this helps!
Answer:
the average velocity is 86 km/h for the trip
Step-by-step explanation:
from the definition of average velocity
average velocity = distance covered / time required = 1682 km /(19 h + 28 min/60 min/h) = 86 km/h
therefore the average velocity is 86 km/h for the trip
Answer:
Amount on 11% note = $106,666.67
Amount on 8% note = $43,333.33
Step-by-step explanation:
Let the amount for the short-term note at 11% interest be x.
Thus, the amount for the short-term note at 8% interest will be (150000 - x)
Now we are told that the total interest paid is $15,200.
Thus;
0.11x + 0.08(150000 - x) = 15200
0.11x + 12000 - 0.08x = 15200
Rearranging gives;
0.03x = 15200 - 12000
0.03x = 3200
x = 3200/0.03
x = $106666.67
Thus, amount for 8% note = $150000 - $106666.67 = $43,333.33
Answer:
P = 8
Step-by-step explanation:
Given that P varies inversely with x then the equation relating them is
P = 
← k is the constant of variation
To find k use the condition P = 7 when x = 8 , then
7 = 
( multiply both sides by 8 )
56 = k
P = 
← equation of variation
When x = 7 , then
P = 
= 8
Answer:
Yes.
2 feet
Step-by-step explanation:
Pieces of copper that Arsenio needs in total = 27 pieces
Length of each piece of copper tubing that he needs = 2/9 foot
Length of available tubing = 8 foot
Since, the length of each piece is 2/9 foot, the length of 27 pieces would be:
This means, Arsenio needs 6 feet in total for the copper tubing. Since he got 8 feet in total, he has sufficient amount of tubing available.
After making the 27 pieces, he will be left with 8 - 6 = 2 feet of tubing.
