Answer:
x = 5, y = 8, z = -3
Step-by-step explanation:
Opposite sides of a parallelogram are congruent so to find x:
x + 7 = 3x - 3
-2x = -10
x = 5
To find y:
y + 2 = 2y - 6
-y = -8
y = 8
Therefore, z = x - y = 5 - 8 = -3.
Answer:
The required equation is
d = 4c
where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.
Step-by-step explanation:
Given that, the cost of each box of cookies is $4.
It means,
The cost of 1 box of cookies is $4.
The cost of 2 boxes of cookies is $(4+4) =$(2×4)
The cost of 3 boxes of cookies is $(4+4+4) =$(3×4)
The cost of cookies
=(Number of boxes × 4)
The required equation is
d = 4c
where d represents the cost of cookies in dollar and c represents the number of boxes of cookies.
Total customers are = 360
Number of polled people who purchased ice cream = 260
Number of polled people who purchased both ice cream and yogurt = 250
Hence, people who purchased only ice cream are=
And
are people who purchased yogurt.
So, people who purchased yogurt only = 
Work the information to set inequalities that represent each condition or restriction.
2) Name the
variables.
c: number of color copies
b: number of black-and-white copies
3)
Model each restriction:
i) <span>It
takes 3 minutes to print a color copy and 1 minute to print a
black-and-white copy.
</span><span>
</span><span>
3c + b</span><span>
</span><span>
</span><span>ii) He needs to print
at least 6 copies ⇒
c + b ≥ 6</span><span>
</span><span>
</span><span>iv) And must have
the copies completed in
no more than 12 minutes ⇒</span>
3c + b ≤ 12<span />
4) Additional restrictions are
c ≥ 0, and
b ≥ 0 (i.e.
only positive values for the number of each kind of copies are acceptable)
5) This is how you
graph that:
i) 3c + b ≤ 12: draw the line 3c + b = 12 and shade the region up and to the right of the line.
ii) c + b ≥ 6: draw the line c + b = 6 and shade the region down and to the left of the line.
iii) since c ≥ 0 and b ≥ 0, the region is in the
first quadrant.
iv) The final region is the
intersection of the above mentioned shaded regions.v) You can see such graph in the attached figure.