Answer:
9x + 17
Step-by-step explanation:
(3x - 1) + (4x + 7) + (2x + 11)
= 3x - 1 + 4x + 7 + 2x + 11
= 3x + 4x + 2x - 1 + 7 +11
= 9x + 17
Area of the rectangle minus area of 2 circles
Area of rectangle is 8x16
Area of circle is pi•r^2 = 3.14 x 4^2= 3.14•16
Answer is:
128 - 2(3.14•16) square inches
Answer:
First, assign a value to x.<em> x</em> will be 2 in this case.
Next, multiply x by itself, because that is what exponent 2, or squared, means. 2 x 2 = 4
Now, multiply 4 by 7. 4 x 7 = 28
Next, find the value of <em>9x</em>.
The value of 9x will be 9 times a number, x, also known as 2 in this scenario. 9 x 2 = 18
Then, subtract 28 from 18. 28 - 18 = 10
Lastly, subtract 10. 10 - 10 = 0
Therefore,
The answer is 0. <em>Product may vary depending on value assigned to x.</em>
There are
ways of picking 2 of the 10 available positions for a 0. 8 positions remain.
There are
ways of picking 3 of the 8 available positions for a 1. 5 positions remain, but we're filling all of them with 2s, and there's
way of doing that.
So we have

The last expression has a more compact form in terms of the so-called multinomial coefficient,

Answer:
D
Step-by-step explanation:
Let's call the width of the yard x and the length x + 3½. Since we know that perimeter = 2 * (width + length) and that the perimeter must be 26 we can write:
2 * (x + x + 3½) = 26
x + x + 3½ = 13
2x + 3½ = 13
2x = 9½
x = 4