58.50 - 45 = 13.50
13.50 / 45 x 100 = 30%
answer: mark up 30%
Answer:
698.5
Step-by-step explanation:
Time-and-a-half. Time-and-a-half is payment to a worker (or workers) at 1.5 times their usual hourly rate.
11×1.5=16.5 $ per hour
16.5 ×7 =115.5 $ - total for overtime
11×2 = 22$ per hour
22×6.5= 143$ - total for double time payment
440+143+115.5 = 698.5 $ - total earnings
Answer:
Infinitely Many Solutions
Step-by-step explanation:
There can be infinite solutions to this problem
Here are some examples
3 4
6 8
12 16
24 32
48 64
96 128
To get a solution, just multiply both numbers by the same term. I multiplied by 2 each.
Hope this helps :)
-jp524
Answer: The inequality solves to x ≥ 42
The graph is shown below
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Explanation:
We have some unknown number x, and we're dividing by 6 to form the fraction x/6. That result is 7 or larger which means we write x/6 ≥ 7
To solve for x, we undo the division. We'll multiply both sides by 6. That's how we get to x ≥ 42
The graph will involve a number line. Plot a closed filled in circle at 42 on the number line. Shade to the right. This visually represents any number that is 42 or larger. The endpoint 42 itself is included in the solution set.
Side note: We would use an open circle if we didn't have the "or equal to" portion for the inequality sign.
QUESTION:
The code for a lock consists of 5 digits (0-9). The last number cannot be 0 or 1. How many different codes are possible.
ANSWER:
Since in this particular scenario, the order of the numbers matter, we can use the Permutation Formula:–
- P(n,r) = n!/(n−r)! where n is the number of numbers in the set and r is the subset.
Since there are 10 digits to choose from, we can assume that n = 10.
Similarly, since there are 5 numbers that need to be chosen out of the ten, we can assume that r = 5.
Now, plug these values into the formula and solve:
= 10!(10−5)!
= 10!5!
= 10⋅9⋅8⋅7⋅6
= 30240.
