Answer:
0.15x=x-30
Step-by-step explanation:
Let
x-----> the regular price
we know that
15%=15/100=0.15
so
0.15x=30
x=30/0.15=$200
<em>Verify each case</em>
case a) 0.15x=30
x=30/0.15=$200
therefore
The equation could be used to determine x
case b) 0.85x=x-30
x-0.85x=30
0.15x=30
x=30/0.15=$200
therefore
The equation could be used to determine x
case c) 0.15x=x-30
x-0.15x=30
0.85x=30
x=30/0.85=$35.29
therefore
The equation could not be used to determine x
case d) x-0.15x=x-30
-0.15x=-30
0.15x=30
x=30/0.15=$200
therefore
The equation could be used to determine x
Answer:
27.3
Step-by-step explanation:
Here, we can add the outside sides of the trapezoid, which are already given:
6 + 6 + 9 = 21
Then for the circle, we can find half of the circumference with πr. The diameter of the circle is 4 (given), so the radius (half the diameter) is 2.
Thus,
π(2) ≈ 6.28
By adding all of these parts, you get
21 + 6.28 = 27.28
Which, rounded to the tenths is 27.3
Answer:
840 in^2
Step-by-step explanation:
If the base is square and the side length is 10 inches, the areas of the base and of the top combined is 2(100 in^2).
The height of the prism comes from dividing the volume, 1600 in^3, by the area of the base, 100 in^2: It is 16 in. Then the combined areas of the four sides of the prism is 4(160 in^2).
The total surface area of the prsim is then 640 in^2 + 200 in^2, or 840 in^2.
Answer:
m = -10 + 5p
Step-by-step explanation:
5p − m = 10
subtract 5p from both sides:
5p − m - 5p = 10 - 5p
simplifiy:
-m = 10 - 5p
divide -1 to both sides
m = -10 + 5p
m = -10 + 5p
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