Answer:
1) 8= (5xW)+(3xW) (she worked 8 hours total over spread of two days)
2) 8=8xW (he worked 8 hours total over one day)
3) Yes, they worked the same number of hours, they just worked for an different amount of hours.
Step-by-step explanation:
I kind of explained it in the answer, but if you'd like a clarification.
Answer:
reflexive property
Step-by-step explanation:
reflexive property states that a number equals itself, a = a, so since 16 = 16, or 16 equals itself, it's reflexive.
The total arc length around a circle is 360 degrees. So, these 3 arc with expressions given will all add up to 360.
(-2 + 8x) + (10x + 10) + (10x - 12) = 360
28x - 4 = 360
28x = 364
x = 13
Now that we know the value of x, we can plug that value into the expression for arc LM and solve for the measure.
LM = 10x - 12
LM = 10(13) - 12
LM = 118 degrees
Hope this helps! :)
Answer:
We first have to find the volume of the cube: (0.3 * 0.3 * 0.3) we then get 0.027, then we plug in the numbers for the density formula. D = 18.954/0.027 will give us 702.
Comment
The point is how to remove the brackets when a minus sign is on the left hand side. A second problem is how to get all the terms on one side over to the other.
Step One
Remove the brackets on the left side. This is an absolutely necessary step in the rest of your mathematical studies. What was done in this step affects all three terms on the inside of the brackets. Minus signs are real bad things to misuse. Study carefully how to change the signs when multiplying by a minus.
Rule a minus sign outside the brackets, when multiplied by anything inside the brackets, change the <span>sign to the opposite of what it was</span>.
-20 + 4x + 5x^2 = 20 - 7x^2
Comment
Before doing the last step, look at the answers. Two of them are 40. That is the answer for 20 and -20 when transferred. It's 40 which is a plus. So you should be transferring from left to right.
Step Two
Transfer from left to right.
-20 + 4x + 5x^2 = 20 - 7x^2 Add 20 to both sides.
4x + 5x^2 = 20 + 20 - 7x^2 Subtract 4x from both sides.
5x^2 = 40 - 7x^2 - 4x Subtract 5x^2 from both sides
0 = 40 - 7x^2 - 5x^2 - 4x
0 = 40 - 12x^2 - 4x Now you have to put them in the right order.
0 = 40 - 4x - 12x^2 <<<<< Answer
