Answer:
Richard is older
Step-by-step explanation:
We can set up an inequality for both statements.
Let r equal Richard's age and s equal Sylvia's age.
"I am older than my wife."
Since Richard is speaking, the inequality would look like this:
r > s
This means Richard is older than Sylvia.
"I am younger than my husband."
Since Sylvia is speaking, the inequality would look like this:
s < r
This means that Sylvia is younger than Richard.
We can flip one inequality to "see" them from the same perspective.
Let's use s < r
To make it so that we can see the relationship from Richard's perspective, flip the entire inequality.
s < r
to
r > s
The inequality from the first quote is identical to this one!
Therefore, Richard is older than Sylvia.
Answer:
100
Step-by-step explanation:
It will help in the future to memorize your time tables
10*10 is basically 10 plus 10, 10 times but in a easier form
10+10+10+10+10+10+10+10+10+10=100
10+10=20
20+10=30
30+10=40
40+10=50
50+10=60
60+10=70
70+10=80
80+10=90
90+10=100
9514 1404 393
Answer:
300
Step-by-step explanation:
There are 25 ways to select the first student. After that student is removed from the selection pool for the second student, there are 24 ways to select the second student. This gives 25·24 = 600 ways to select 2 students <em>in a particular order</em>.
Since we don't care about the order, we can divide this number by the number of ways two students can be ordered: AB or BA, 2 ways.
600/2 = 300
There are 300 ways to pick a combination of two students from 25.
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<em>Additional comments</em>
This sort of selection (2 out of 25) has a formula for it, and an abbreviation for the formula.
"n choose k" can be written nCk or C(n, k)
The function is a ratio of factorials:
nCk = n!/(k!(n-k)!)
If you can typeset this, it is written ...
This is different from the formula for the number of <em>permutations</em> of n things taken k at a time. That would be written nPk or P(n, k) = n!/(n-k)!.
Answer:
It means that the lowest the temperature will get that day is -3 degrees
Step-by-step explanation:
Answer: (x, y) = (-x, -y)
Step-by-step explanation:
To solve this, you can match the coordinates of points on the triangles and choose the correct answer from there.
The highest point on the triangle, S, has coordinates of (3, 5).
The reflected triangle's point S has coordinates of (-3, -5).
Point Q on the triangle has coordinates of (1, 0)
Point Q on the reflected triangle has coordinates of (-1, 0).
Matching these two points and their reflections to the answers, the only answer that fulfills both points correctly is (x, y) = (-x, -y).
