Hello from MrBillDoesMath!
Answer: All numbers provided are rational
Discussion:
20 = 20/1 => rational
10^2 = 100 => rational
144 = 144/1 => rational
0.48 = 48/100 => rational
Thank you,
MrB
Answer:
19
Step-by-step explanation:
maximum no. of bag filled by 4275 sweets,is
4275/28 ~=152
therefore , there is 4256 sweets in 152 bags
therefore,4275-4256=19 sweets are left
Part A;
There are many system of inequalities that can be created such that only contain points C and F in the overlapping shaded regions.
Any system of inequalities which is satisfied by (2, 2) and (3, 4) but is not stisfied by <span>(-3, -4), (-4, 3), (1, -2) and (5, -4) can serve.
An example of such system of equation is
x > 0
y > 0
The system of equation above represent all the points in the first quadrant of the coordinate system.
The area above the x-axis and to the right of the y-axis is shaded.
Part 2:
It can be verified that points C and F are solutions to the system of inequalities above by substituting the coordinates of points C and F into the system of equations and see whether they are true.
Substituting C(2, 2) into the system we have:
2 > 0
2 > 0
as can be seen the two inequalities above are true, hence point C is a solution to the set of inequalities.
Part C:
Given that </span><span>Natalie
can only attend a school in her designated zone and that Natalie's zone is
defined by y < −2x + 2.
To identify the schools that
Natalie is allowed to attend, we substitute the coordinates of the points A to F into the inequality defining Natalie's zone.
For point A(-3, -4): -4 < -2(-3) + 2; -4 < 6 + 2; -4 < 8 which is true
For point B(-4, 3): 3 < -2(-4) + 2; 3 < 8 + 2; 3 < 10 which is true
For point C(2, 2): 2 < -2(2) + 2; 2 < -4 + 2; 2 < -2 which is false
For point D(1, -2): -2 < -2(1) + 2; -2 < -2 + 2; -2 < 0 which is true
For point E(5, -4): -4 < -2(5) + 2; -4 < -10 + 2; -4 < -8 which is false
For point F(3, 4): 4 < -2(3) + 2; 4 < -6 + 2; 4 < -4 which is false
Therefore, the schools that Natalie is allowed to attend are the schools at point A, B and D.
</span>
Answer:
you show the steps for how u got to your answer
Step-by-step explanation:
4n-9=-9
4n-9+9=-9+9
4n=0
4n/4=0/4
n=0
Answer:
A
Step-by-step explanation:
Machine A pops more popcorn (12.75 vs 10 oz) in less time (3 min vs 4 min), so pops popcorn the fastest.
Machine A pops more popcorn in one minute, on average.
_____
<em>Additional comment</em>
As a practical matter, neither machine may have popped <em>any</em> popcorn in one minute. Generally, one must wait for the cycle to complete. The average overall rate will depend on how quickly each machine can be recycled to produce another batch.
