From most general to most specific
-4/5 is complex, real, rational, and negative
-2 is complex, real, rational, integer, negative
√15 is complex, real, irrational, positive
20/4=5 is complex, real, rational, integer, positive
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:
Step-by-step explanation:
2x—33
Let's simplify step-by-step.
<span>52−<span>8<span>(<span>n−1</span>)
</span></span></span>Distribute:
<span>=<span><span>52+<span><span>(<span>−8</span>)</span><span>(n)</span></span></span>+<span><span>(<span>−8</span>)</span><span>(<span>−1</span>)
</span></span></span></span><span>=<span><span><span>52+</span>−<span>8n</span></span>+8
</span></span>Combine Like Terms:
<span>=<span><span>52+<span>−<span>8n</span></span></span>+8
</span></span><span>=<span><span>(<span>−<span>8n</span></span>)</span>+<span>(<span>52+8</span>)
</span></span></span><span>=<span><span>−<span>8n</span></span>+60
</span></span>Answer:
<span>=<span><span>−<span>8n</span></span>+<span>60</span></span></span>
