38 is 10 more than 1/3 of 21
Answer:
up and down is positive, side by side is negitive diagnoal lines are negitive. so undefined is anything under the x axis that doesn't go over the line
Answer:
Step-by-step explanation:
If "a" represents the number of adult smoothies sold, then 260-a is the number of smoothies sold to children. The total revenue is ...
3a +1(260-a) = 675
2a +260 = 675 . . . . . . eliminate parentheses
a + 130 = 337.5 . . . . . . divide by 2
a = 207.5 . . . . . . . . smoothies sold to adults
260-a = 52.5 . . . . . smoothies sold to children
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For the given numbers, this is the way it works out. The "half" values suggest there is a typo somewhere, possibly in the curriculum material. Talk to your teacher about this one.
We know that the area of a rectangle is length * width, and the area of a triangle is 1/2 * base * height. However, we know that the areas are equal, or that
lw = 1/2bh
If we substitute in the measurements that we know, we can solve the following equation for x.
5x + 1 (x) = 1/2(8x)(x+1)
Let's simplify this equation by multiplying.
5x² + x = 4x² + 4x
Now, let's bring all of the variables to one side of the equation.
x² - 3x = 0
Finally, we should factor out the Greatest Common Factor.
x(x-3) = 0
Therefore, by the Zero Product Property, x = 0, 3. But since the measurement of the short side length of the rectangle is x, it cannot be zero. Thus, x = 3.
The question asks for the area of the rectangle, which is <span>5x² + x.
</span>
Let's solve this expression for x = 3.
5(3)² + 3
5(9) + 3
45 + 3
48
Therefore, the area of the rectangle is 48 square units, or option B.
12c represents 12$ for each class and the 35 represents the goggles :)
