The answer would be -25.
Before we get to the solution, we need to remind ourselves that integers are whole numbers, but they include even negative numbers.
First we need to look at least two factors of 24.
Positive:
24 x 1 = 24
12 x 2 = 24
8 x 3 = 24
6 x 4 = 24
Negative:
-24 x -1 = 24
- 12 x -2 = 24
-8 x - 3 = 24
-6 x -4 = 24
Now lets add these factors and see the sum of each of these factors:
24 + 1 =25
12 + 2 = 14
8 + 3 = 11
6 + 4 = 10
-24 + -1 = -25
- 12 + -2 = -14
-8 + - 3 = -11
-6 + -4 = -10
Hey there!
<em>C = 0.25x + 40</em>
(a) For this part we solve for C when x = 240. Substitute 240 in for x.
C = 0.25(240) + 40
Multiply 240 by 0.25.
C = 60 + 40
Add.
C = 100
The cost is $100.
<u>Check</u>
100 = 0.25(240) + 40
100 = 60 + 40
100 = 100
(b) For this part we solve for x when C = 180. Substitute 180 for C.
180 = 0.25x + 40
Subtract 40 from each side.
140 = 0.25x
Divide each side by 0.25.
560 = x
This person drove 560 miles.
<u>Check</u>
180 = 0.25(560) + 40
180 = 140 + 40
180 = 180
(c) For this we must make an inequality with C = 150.
Since they want the cost to be <em>no more than</em> 150, we will use the ≥ symbol.
C ≥ 0.25x + 40
Substitute 150 for C. Solve for x.
150 ≥ 0.25x + 40
Subtract 40 from each side.
110 ≥ 0.25x
Divide each side by 0.25.
440 ≥ x
The max number of miles they can drive is 440.
<u>Check</u>
150 ≥ 0.25(440) + 40
150 ≥ 110 + 40
150 ≥ 150
Hope this helps!
Answer:
$60.79
Step-by-step explanation:
First take off the 30% from $78.95. That will leave you with $55.265.
Add 6% of $78.95 for sales tax (4.737) to the $55,265 = $60.002
Then add the 1% of $78.95 for local option tax (.7895) to the $60.002.
That gives you $60.7915 - round it to the nearest cent and it gives you
$60.79
Answer:
By using Carl Gauss's clever formula, (n / 2)(first number + last number) = sum, where n is the number of integers, we learned how to add consecutive numbers quickly. We now know that the sum of the pairs in consecutive numbers starting with the first and last numbers is equal.
