Answer:
3 < M - N < 9
Step-by-step explanation:
First, let's write the inequalities for these two numbers.
"a number greater than -3 and less than -2"
-3 < N < -2
"a number greater than 1 and less than 6"
1 < M < 6
We want to subtract the first one to the second one, so we want to get:
M - N
Because this is a subtraction, the lower bound of the subtraction happens when we have the minimum value of M and the maximum value of N.
Then the minimum value of M - N happens when:
M = 1
N = -2
(notice that M can't be equal to 1, and N can't be equal to -2, we just do this to find the lower bound)
Then the lower bound is:
M - N = 1 - (-2) = 3
We already got:
3 < M - N
For the upper bound, we need to find the difference between the largest value of M, and the lowest value of N
This is:
M = 6
N = -3
M - N = 6 - (-3) = 9
Then:
M - N < 9
If we take both of our results, the possible values of the subtraction are given by:
3 < M - N < 9
Answer: 4.2 yards
Step-by-step explanation:
Let x = length of the Flores' lawn in yards.
Then, Area of lawn = 4x sq. yard [Area of rectangle = width x length , here width = 4 yds (given)]
Charge per square yard = $1.25
Charge for Flores lawn = 1.25 × (Area of lawn)
= 1.25 (4x)
= 5x
As per given,
Hence, the length of the Flores's lawn = 4.2 yards
950 - 188 = 762
Susan used 762 minutes in this month already.
Answer:
$127.60
Step-by-step explanation:
If Lisa bought 30 shares of stock at $54.02 per share, total cost price will be:
30×$54.02
= $1620.6
If she then sold her shares at $58.19 per share, her total selling price will be:
30×$58.19
= $1745.7
Profit = selling price - cost price
Profit = $1745.7-$1620.6
Profit = $125.1
If her broker charges a 2% commission for all transactions, her total charge will be:
2% of $125.1
= $2.50
Her net gain = profit + broker's charge
= $125.1+$2.50
= $127.60
