Answer:
48.6
Step-by-step explanation:
1. The values of p and q are: p=31 and q= 4
2. B(11, 29/5)
Further explanation:
<u>1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.</u>
Given:
M = (15. 1)
(x1, y1) = (p, -2)
(x2, y2) = (-1, q)
The formula for mid-point is:

Hence,
p=31
q=4
<u>2. M is the midpoint of the straight line joining point A (3. 1/5) to point B.If m has coordinates (7. 3), find the coordinates of B.</u>
Here,
(x1,y1) = (3, 1/5)
(x2, y2) = ?
M(x,y) = (7,3)
Putting values in the formula of mid-point

So, the coordinates of point B are (11, 29/5) .
Keywords: Finding mid-point, Finding coordinates through mid-point
Learn more about coordinate geometry at:
#LearnwithBrainly
Step-by-step explanation:
Elijah runs at constant speed
2.4 hours -----------> 13.8 miles
1 hour ---------------> 13.8/2.4
1 hour ---------------> 5.75 miles
Elijah run 5.75 miles in each hour at constant speed
Answer:
(a)18
(b)1089
(c)Sunday
Step-by-step explanation:
The problem presented is an arithmetic sequence where:
- First Sunday, a=1
- Common Difference (Every subsequent Sunday), d=7
We want to determine the number of Sundays in the 120 days before Christmas.
(a)In an arithmetic sequence:

Since the result is a whole number, there are 18 Sundays in which Aldsworth advertises.
Therefore, Aldsworth advertised 18 times.
(b)Next, we want to determine the sum of the first 18 terms of the sequence
1,8,15,...

The sum of the numbers of days published in all the advertisements is 1089.
(c)SInce the 120th day is the 18th Sunday, Christmas is on Sunday.
Answer:
30 percent are red pens
Step-by-step explanation:
40 percent plus 20 percent plus 10 percent is 70 percent. That means 70 percent of the pens in the shop are not red and the other 30 percent are. If you want to know the exact amount do 30 percent of 400 which is 400 divided by 3.33 which is approximatly 120.