Answer:
The remainder is 4.
Step-by-step explanation:
Note: This question is not correctly stated. It is therefore correctly restated before answering the question as follows:
When 17 is divided by k; where k is a positive integer less than 17, the remainder is 3. What is the remainder when the sum of the possible values of k is divided by 17?
The explanation of the answer is now given as follows:
Since k < 17, it implies that the possible values of k must be from between 1 and 16 inclusive.
Between 1 and 16, only 7 or 14 will give a remainder of 3 when either of them is used to divide 17. Therefore, 7 and 14 are the possible values of k.
Therefore, we have:
Sum of the possible values of k = 7 + 14 = 21
Also, we have:
Sum of the possible values of k divided by 17 = 21 / 17 = 1 with a remainder of 4.
Therefore, the remainder is 4 when the sum of the possible values of k is divided by 17.
Answer:
D: 12
Step-by-step explanation:
The entire segment KI is composed of the segments KJ and JI. So:
We know that KI is 15.
KJ is (2x-15) and JI is (2x-6). Substitute:
Solve for x. Combine like terms:
Add 21 to both sides:
Hence, the value of x is:
We know that JI is 2x-6.
We will substitute 9 for x to find JI. So:
Hence, our answer is D.
Answer:
y-3=3/5x
Step-by-step explanation:
y-y1=m(x-x1)
Where m=slope and (x1, y1) is a point on the line.
m=(y2-y1)/(x2-x1)
m=(0-3)/(-5-0)
m=-3/-5
m=3/5
y-3=3/5(x-0)
y-3=3/5(x)
y-3=3/5x
Answer:
Một người khởi hành từ A lúc 7 giờ sáng và dự định tới B lúc 11 giờ 30 phút cùng ngày. Do đường chưa tốt, nên người ấy đã đi với vận tốc chậm hơn dự định 5km/h. Vì thế phải 12 giờ người ấy mới đến B. Tính quãng đường AB
Step-by-step explanation:
Answer:
28 kilowatt hours
Step-by-step explanation:
The total distance = 2 × 42 miles = 84 miles
So the kilowatt hours of electricity would it will take = 
