Answer:
It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.
Step-by-step explanation:
Let's write given statement as [ x ] = ] x+1 [
where [ x ] step function means next integer greater than or equal to x,
and ] y [ means last integer less than or equal to y.
Let's take an example of x = 2.5
So [ 2.5 ] = 3.
and ] 2.5 + 1 [ = ] 3.5 [ = 3.
Similarly, we can take any example of Real numbers like 3.7, 4.2, 5.6, 8.9 etc.
It is TRUE for all Real numbers, i.e. [x] = ]x+1[ for all x∈R.
Answer:
5 cats, 1 fish and 94 birds
Step-by-step explanation:
Let
- c be the number of cats;
- b be the number of birds;
- f be the number of fish.
A kid bought 100 toy animals, then
If a cat costs $10.00, then c cats cost $10c.
If a fish costs $3.00, then f fish cost $3f.
If a bird costs $0.50, then b birds cost $0.5b.
In total,
We get the system of two equations:
From the first equation:
Substitute it into the second equation:
Number f must be a whole number greater than 0, so
Number c must be a multiple of 5, thus the only possible value for c is 5.
When c = 5, then
Answer:
80 degrees
Step-by-step explanation:
A triangle has 180 degrees so you have to add up the two angles with measurements you know (70 + 30= 100) and subtract 100 from 180
Arc length from A to C (red line) is the given inside angle times 2, so AC = 50*2 = 100 degrees.
A full circle is 360 degrees, so arc ABC (blue line) would be 360 - 100 = 260 degrees.
The answer is D.
