Answer:
$329.55
Step-by-step explanation:
We simply just multiply the hours by the total cost he gets paid each hour.
Since he gets paid 8.45 each our and works 39 hours we do:
8.45 * 39 = 329.55
Answer:
The number of the television sets that is model p is 12
Step-by-step explanation:
Here we have total number of television sold = 40
The model p televisions sold for $30 less than the model q televisions
That is $P = $q - $30
Therefore
Let the quantity of the model p sold be X
Let the quantity of the model q sold be X
Therefore
x + y = 40
Total cost of the television = 40 * 141 = $5640
Therefore, 120*x + 90*y = 5640
Plugging in x = 40 - y in the above equation we get
4800 - 30y = 5640 or
y = -28 and
x = 68
If we put y = 40 - x we get
30x + 3600 = 5640
If we put
120*x + 150*y = 5640.........(3)
we get
x = 12 and y = 28
Therefore, since the model p sold for $30 less than the model q, from the solution of equation (3) the number of the television sets that is model p = 12
To factor this out, I would actually multiply the (x+3)(x-2) first just so that we can have less parenthesis everywhere. Now, the problem is 2(x²+x-6) + 4(x-2). If we expand these parenthesis, we'll get 2x²+2x-12+4x-8. The simplified version of this is 2x²+6x-20, or 2(x²+3x-10). We can factor the parenthesis to 2(x-2)(x+5), which is the final answer.
Hope this helped!
One angle would be 57 degrees, one would be 103
Answer:
1008 possible dinner orders
Step-by-step explanation:
There are 3 possible salads, 4 possible entrees, and 9 possible sides.
Each dinner has 1 salad, 1 entree, and 3 sides.
Using combinations,
C(3,1) * C(4,1) * C(9,3) = 3 * 4 * 84 = 1008