Answer:

Step-by-step explanation:
The trick to this is looking at the denominator. If the numerators are the same for all fractions you are comparing then things are going to be a bit easier for comparing them. The one that has the biggest denominator is small and the one with the smaller denominator is a bigger fraction.
hope this makes sense
:)
Answer:
4). The Washington Monument is 169.2-m tall.
Step-by-step explanation:
4). We know this because...
person 1.8 0.7
---------- = ----- = -------
Wash. x 65.8
We then know to cross-multiply to get:
1.8(65.8) = 0.7x
Which simplifies down to:
118.44 = 0.7x
x = 169.2
Answer:
5). The pond is 180ft wide.
Step-by-step explanation:
5). We know this because...
90 120
----- = -------
135 x
We then know to cross-multiply to get:
90x = 120(135)
Which simplifies down to:
90x = 16200
x = 180
Answer:
6). The height of the clock tower is 13ft 9in.
Step-by-step explanation:
6). We know this because...
person 5.5 4
---------- = -------- = -----
clock x 10
We then know to cross-multiply to get:
5.5(10) = 4x
Which simplifies down to:
55 = 4x
x = 13.75 (13 ft 9 in)
I'm going to assume that you are trying to find the two numbers. Based on the information in the problem, we can create the following equations (where
and
are the two numbers):


We have a systems of equations. In this case, it would be easier to use elimination by adding vertically. This produces the result:


To find
, substitute the value for
into one of the earlier equations:


The two numbers are 12 and 18.
Answer: C
Step-by-step explanation:
the equation for X is
use proportion to solve
2 + x = 16
x = 14
(14,y)
The equation for Y is
use proportion to solve
-1 + y = 6
y = 7
(14,7)
now use the distance formula
(14,7) (2,-1)
which gets you 14.4 or C
Answer:
A B A NOR B
F F T
F T F
T F F
T T F
Step-by-step explanation:
The logical operator NOR produces a result that is the negation of the logical operator OR.
The truth table for the logical operator NOR can be obtained by the negation of the results of the truth table for the logical operator OR.
Let A and B be the the logical values (or inputs). The operator OR produces a value of true if and only if at least one operand is true. The truth table for OR is:
A B A OR B
F F F
F T T
T F T
T T T
So, the truth table for NOR is:
A B A NOR B
F F T
F T F
T F F
T T F
Notice that the negation of OR (which is NOR) is obtained by changing the F by T and the T by F in the column of the results.
This table can also be writen with 0 instead of False and 1 instead of True.