Answer:
- first shift: 13,750 bulbs
- second shift: 2500 bulbs
Step-by-step explanation:
The production ratio is ...
shift 1 : shift 2 = 5.5 : 1 = 11 : 2
so, the production on shift 1 as a ratio to the total is ...
shift 1 : total = 11 : (11+2) = 11 : 13
The first shift produced ...
(11/13)(16,250 bulbs) = 13,750 bulbs . . . . first shift
and the second shift produced ...
(2/13)(16,250 bulbs) = 2,500 bulbs . . . . second shift
_____
Of course, once you have one of the numbers, you can also find the other by using the 5.5 factor or by subtracting from total production.
Answer:
There are 15 letters, but if the two A's must always be together, that's the same as if they're just one letter, so our "base count" is 14! ; note that this way of counting means that we also don't need to worry about compensating for "double counting" identical permutations due to transposition of those A's, because we don't "count" both transpositions. However, that counting does "double count" equivalent permutations due to having two O's, two N's, and two T's, so we do need to compensate for that. Therefore the final answer is 14!/(23)=10,897,286,400
Answer: 8 quarters 19 dimes
Step-by-step explanation:
we already know 8+19=27, if 4 quarters equals a dollar then you use 4 quarters each to create 2 dollars.
then, use 10 dimes to create another dollar summing it up to $3. now all we have to do is make 90 cents, and we've already used 18 coins.
if we used another 9 dimes, that would equal 90 cents.
in conclusion, 4+4= 8
8+10= 18
18+9= 27, and having $3.90
Answer:
a=4 and b=-1
Step-by-step explanation:
2(4)+3(-1)= 5
Answer:
The coordinates of ABCD after the reflection across the x-axis would become:
Step-by-step explanation:
The rule of reflection implies that when we reflect a point, let say P(x, y), is reflected across the x-axis:
- x-coordinate of the point does not change, but
- y-coordinate of the point changes its sign
In other words:
The point P(x, y) after reflection across x-axis would be P'(x, -y)
P(x, y) → P'(x, -y)
Given the diagram, the points of the figure ABCD after the reflection across the x-axis would be as follows:
P(x, y) → P'(x, -y)
A(2, 3) → A'(2, -3)
B(5, 5) → B'(5, -5)
C(7, 3) → C'(7, -3)
D(5, 2) → D'(5, -2)
Therefore, the coordinates of ABCD after the reflection across the x-axis would become:
