Answer:
(-8) + (+17) = -8 + 17 = 9
Step-by-step explanation:
Level of water in the first week = - 8 (the negative sign represents a decrease in inches, of the level of water)
Level of water during the second week = + 17 (the positive sign represents an increase, in inches, of the level of water).
These changes in the level of water can be modelled as sum of a positive and a negative integer as follows:
(-8) + (+17)
When adding a negative and a positive integer value, subtract the smaller value from the greater value, and retain the sign of the value that is greater.
17 is greater than 8. Therefore, subtract 8 from 17, and retain the sign of 17.
Thus:
(-8) + (+17) = -8 + 17
= 9
It’s 40:15 because 8*5=40 and 3*5=15
Problem 2
Midpoint: Think 1/2. A midpoint cuts a line segment in 1/2 (in this question). That means that the left segment = the right segment. Remember: midpoint means 1/2.
LN is given as 14.
LM is 1/2 the distance of 14
LM = 1/2 * 14
LM = 7
Problem 3
If the midpoint = the 1/2 way point, the two halves are equal. Remember a midpoint divides the 2 parts into 2 EQUAL parts.
4a - 2 = 18 Add 2 to both sides
4a = 18 + 2
4a = 20
a = 20 /4
a = 5
Problem 4
Remember that midpoint means 1/2. That a midpoint cuts a segment into 2 equal segments
Equation
2n + 2 = 5n - 4
Solve
2n + 2 = 5n - 4 Add 4 to both sides
2n + 2 + 4 = 5n Subtract 2n from both sides.
6 = 5n - 2n
6 = 3n Divide both sides by 3
6/3 = n
n = 2
<u>Answer:</u> B
Problem 5
And again the whole line segment is divided into 2 equal parts.
<u>Equation</u>
6p - 12 = 4p Add 12 to both sides
6p = 12 + 4p Subtract 4p from both sides.
6p - 4p = 12
2p = 12 Divide by 2
p = 12/2
p = 6 <<<<< Answer
Answer:
So the smallest number is 3. As it divides 6,9 and 15.
