If 20 min = 1 day
1 week = + 10 mins
= 30 mins
6 weeks = 60 mins
1 hour 30 mins = 7 weeks
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:
1200 ft in one hour
Step-by-step explanation:
The ratio of Sam crawling 20 ft in one minute can be written as:
20:1
Multiply the ratio by 60 to get the minutes to 60 minutes, because there are 60 minutes in an hour:
20 : 1
×60 ×60
To get:
1200:60 ⇒ This means Sam can crawl 1200 ft in 60 minutes, which is the same as 1200 ft in one hour.
<em>Hope this helps!</em> :)
55% of 140 Percent
= 55/100 * 140/100 Divide 55 and 100 each by 5.
= 11/20 * 140/100 Cancel the zero at the top and bottom and divide 14 by 2.
= 11 * 7/100
= 77 Percent.
Answer:
Percentage Calculator: 12 is what percent of 70? = 17.14.
Step-by-step explanation:
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