Answer:
If I read this right
3 (n -12) + 14 = 4 (7 - 5n)
First, remove the parentheses
3 n - 36 + 14 = 28 - 20 n
Combining terms
23 n = 28 - 14 + 36 = 50
n = 50 / 23 = 2 4/23 = 2.17
Answer:
Number of smaller ropes she can make from the larger rope = 2/3
Step-by-step explanation:
Total length of rope = 2/5 ft
Length of smaller rope = 3/5 ft
How many smaller ropes can she make from the larger rope?
Number of smaller ropes she can make from the larger rope = Total length of rope / Length of smaller rope
= 2/5 ÷ 3/5
= 2/5 × 5/3
= (2*5)/(5*3)
= 10/15
= 2/3
Number of smaller ropes she can make from the larger rope = 2/3
$10.50a + $3.75b = $2,071.50
It is given that b = 82
Therefore - $10.50a + ($3.75)(82) = $2,071.50
or $10.50a + $307.50 = $2,071.50
$10.50a = $2,071.50 - $307.50 = $1,764.00
Therefore - a (number of adult tickets sold) = $1,764.00/$10.50 = 168 tickets
Answer:
yes
Step-by-step explanation:
6(1)-2>3
6-2>3
4>3
Answer:

Step-by-step explanation:
Let points D, E and F have coordinates
and 
1. Midpoint M of segment DF has coordinates

2. Midpoint N of segment EF has coordinates

3. By the triangle midline theorem, midline MN is parallel to the side DE of the triangle DEF, then points M and N are endpoints of the midsegment for DEF that is parallel to DE.