<em>46 - 40 = 6</em>
Carmen will be paid 6 hours at overtime hourly rate.
<em>one hour = $17.90</em>
<em>overtime rate = $17.90 x 1.5 = $</em><span><em>26.85</em>
His overtime premium pay is $26.85
</span><em>$26.85 x 6 = $161.10 </em>
He is paid $161.10 for 6 hours
Answer: He is paid $161.10 for the workweek.
Answer:
The coordinates of C is (-8,1)
Step-by-step explanation:
Looking at the attached image, you'd see that, AB is 1 and BC is 1, that's because we are told that ratio of AB to AC is 1:2 meaning, AC is 2 and AB is 1. Therefore for that ratio to be satisfied BC has to be 1 so that AC would be 2.
Now let's assume the coordinates of C is 
.
To get it's coordinates, we use the section formula:
Where (m,n) is the (AB, BC)
Therefore we have
This gives:
and 
From there x = -8 and y = 1
Therefore the coordinates of C is (-8, 1).
She put 1/5 down which means she owes 4/5
620 * 4/5 = 496
She owes $496.00
98 - 10 = 88
She still owes $88.00
To solve this problem, you will have to first find how many US Dollars are in 1 Euro. Upon looking this up, I see that currently 1 Euro is worth 1.23 US Dollars. Next, you must calculate how many liters are in a gallon. Looking this up shows that 1 liter is equal to 0.264 gallons.
Since 0.264 is not a whole gallon and we are asked to find the price per gallon, we should next calculate how many liters can fit in a gallon. To do this, we will divide 1 by 0.264, which gives us 3.78. This tells us that 3.78 liters will fit into a gallon.
The cost of 1L of gas in euros is 1.50 Euros. Since we need 3.78L to equal 1 gallon, we can calculate the cost of this to be:
3.78 * 1.50 = €5.67
Earlier we determined that 1 euro is worth 1.23 US Dollars. Our final step is to convert our €5.67 per gallon to dollars per gallon. To do this, we simply have to multiply 5.67 by 1.23. This gives us $6.97.
So, our answer is that the cost is $6.97 per gallon.
Hopefully this is correct and makes sense to you. This is how I would approach the question.
A proportion looks like this:
It means that the quantity a,b,c and d are in the same proportion: the ratio between a and b is the same ratio between c and d.
They are particularly useful in situation when you have an example given, and you want to extrapolate the relationship for another couple.
For example, you can think of the following problem: "Five apples cost 2 dollars. How much will 8 apples cost?"
You can build the proportion
And then solve it for x:
