Answer:
a 16
Step-by-step explanation:
16 x 12 = 192 plates
496 total plates - 192 = 304
304 packages of 8 plates
304 / 8 = 38 sets of 8 plates
38 + 16 = 54 packs of plates
16.) 38.25= 4.25h
divide by 4.25 on both sides
h=9
17.)214= 1/3x
divide by 1/3 on both sides
x= 642
18.)70= 2x
divide by 2 on both sides
x=35
19.)18.69= 5.25+1.68x
subtract 5.25 on both sides
13.44=1.68x
divide by 1.68 on both sides
x=8
The order of operations helps keep answers for multi-step equations similar. If the proper order of operations are not followed, then answers may vary. To show an example:
4 / 2 - 1
The proper order of operations would be:
Divide first, before subtracting
4 / 2 - 1
2 - 1
1
But if subtracting was done before dividing:
4 / 2 - 1
4 / 1
4
So not following the proper order would yield different and erroneous answers.
Answer:
d. 6
Step-by-step explanation:
The product of lengths to the near and far intersection points is the same for both secants:
PB×PA = PD×PC
We can use this relation to solve for x, then use the value of x to find PD.
7×12 = (3x)(7x)
4 = x² . . . . . . . . . divide by 21
2 = x . . . . . . . . . . take the square root
__
PD = 3x = 3·2
PD = 6