True.
Since
,
and the solutions are decreasing functions.
The equation (form) is: 
The solution of the equation is: 
Explanation:
First, let's call the number we are going to solve for "x".
Then two thirds of this number can be written as:
Then "plus 4" means add 4 we get:
"is 7" means that the above expression is equal to 7 (as follows):
The solution of the above equation is:
30%.
6 nickels equal 30 pennies, and 100 pennies make up a dollar.
30/100 = 30%.
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:
Sitting fee - 32$
Step-by-step explanation:
This is a system of equations(let x represent the sitting fee)
x+6y=50
x+11y=65
You want to isolate the x variable - x+6y-6y=50-6y ; x = 50-6y
Input this into the 2nd equation: 50-6y+11y=65 ; 50+5y=65
Subtract 50 from both sides. 5y=15 (Divided 5y on both sides) ; y=3
Now that y = 3 input this into any equation I choose the 1st one.
x+6(3) = 50 ; x + 18 = 50 (Subtract 18 on both sides to get x)
x = 32
Prove: 32 + 6(3) = 50 ; 32+18 = 50 ; 50 = 50 True
