2x +100=16+4x
-2x. -2x
100=16+2x
-16. -16
84=2x
divide both sides
x=42
Answer:
We can represent a number in general by x . Halving a number means dividing it by two, so the expression that shows the half of a number is x2 , since you divide a number by two.
Step-by-step explanation:
Answer:
51 m^2
Step-by-step explanation:
The shaded area is the difference between the area of the overall figure and that of the rectangular cutout.
The applicable formulas are ...
area of a triangle:
A = (1/2)bh
area of a rectangle:
A = bh
area of a trapezoid:
A = (1/2)(b1 +b2)h
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We note that the area of a triangle depends only on the length of its base and its height. The actual shape does not matter. Thus, we can shift the peak of the triangular portion of the shape (that portion above the top horizontal line) so that it lines up with one vertical side or the other of the figure. That makes the overall shape a trapezoid with bases 16 m and 10 m. The area of that trapezoid is then ...
A = (1/2)(16 m + 10 m)(5 m) = 65 m^2
The area of the white internal rectangle is ...
A = (2 m)(7 m) = 14 m^2
So, the shaded area is the difference:
65 m^2 -14 m^2 = 51 m^2 . . . . shaded area of the composite figure
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<em>Alternate approach</em>
Of course, you can also figure the area by adding the area of the triangular "roof" to the area of the larger rectangle, then subtracting the area of the smaller rectangle. Using the above formulas, that approach gives ...
(1/2)(5 m)(16 m - 10 m) + (5 m)(10 m) - (2 m)(7 m) = 15 m^2 + 50 m^2 -14 m^2
= 51 m^2
Answer:
C (Lake Depth Answer)
Step-by-step explanation:
Here we want to find the math that <u>ends up with 0</u>.
The stock starts with 12$, but loses 16$.
That's -4$ total, not 0.
The ion starts with 19 protons, and 18 electrons. Protons are postive charges, electrons are negative.
This leaves us with 1 proton, not 0.
The lake depth increases by 6 inches, but evaporates 6.
This leaves us back where we started, with 0.
Ahmed spends 25$, but earns 30$.
This leaves us with $5, not 0.
