Answer:
The boys club sold 52 bags of hardwood mulch and 84 bags of pine bark mulch
Step-by-step explanation:
Let
x ----> the number of bags of hardwood mulch sold
y ----> the number of bags of pine bark mulch sold
we know that
A local boys club sold 136 bags of mulch and made a total of $400
so
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
Using a graphing tool
The solution is the point (52,84)
see the attached figure
therefore
The boys club sold 52 bags of hardwood mulch and 84 bags of pine bark mulch
Answer:
C
Step-by-step explanation:
please mark brainliest
Answer:
The probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
Step-by-step explanation:
Standard deviation = 
We are supposed to determine the probability that a randomly chosen part has diameter of 3.5 inches or more
Refer the z table for p value
Hence the probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525
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:
Rectangle C is not similar to the other 2
Step-by-step explanation:
3*2=6
1*2=2
