A possible value of p would be 9.
The symbol ≤ means that the value of p will be less than or equal to the value of 11.
There are three multiples of 3 that are less than 11: 3, 6, and 9.
The value of p can be any of these three, and the inequality will still remain true.
Let the number cherry Danishes be x
Let the number cheese Danishes be y
Given,
The number of cherry Danishes the student brings is at least 3
more than 2/3 the number of cheese Danishes
x ≥ 3 + (2/3)y
Given,
The number of cherry Danishes the student brings is no more than
twice the number of cheese Danishes.
x ≤ 2y
Merging, the two inequalities above,
3 + (2/3)y ≤ x ≤ 2y
3 + (2/3)y ≤ 2y
OR
2y ≥ 3
+ (2/3)y
2y – (2/3)y ≥ 3
Multiply both sides by 3
(3 * 2)y – (3 * 2/3)y ≥ 3 * 3
6y – 2y ≥ 9
4y ≥ 9
y ≥ 9/4
Since x ≥ 3 + (2/3)y, and y ≥ 9/4
Then, x ≥ 3 + (2/3 * 9/4)
x ≥ 3 + (2/3 * 9/4)
x ≥ 3 + 3/2
x ≥ 9/2
Since y ≥ 9/4 and x ≥ 9/2
x + y ≥ 9/4 +9/2
x + y ≥ 27/4
x + y ≥ 6.75
x + y represents the total number of Danishes the student brings
x + y ≥ 6.75 means that the total number of Danishes the student
brings is 6.75
<span>BUT since the total number of Danishes must be an integer, then that
the total number of Danishes the student brings is 6.</span>
Answer:
15
Step-by-step explanation:
Answer:
I'm not sure how you want us to answer this. I attached an image of where it is but otherwise it's in quadant I which is the top right one.
Hope this helps!
Step-by-step explanation:
If it isnt in standard form already it would be 69000000