<span><span> 17
</span><span>2 35
</span> 2
<span> 15
</span><span> 14
</span><span> 1
The remainder ends up to be 1. So it is 17.5. All you need to do, is to look for LCM in 35 and 2. </span></span>
The number of glasses is restricted to 44 cups. So the number of iced tea cups and the number of lemonade cups that she can serve is, maximum, 44. Then, if you call x the number of glasses of iced tea and call y the number of glasses of lemonade, you have that the total number of glasses (cups) is x + y. And <span>the equation that represents the number of glasses that she cacn serve is x + y = 44. You can place it in other equivalent ways, for example, solve for y: y = 44 - x. Those two equations are valid answers because they represent the same equation.</span>
325 is the answer to this equation.
Answer:
x = 2
x = -1.5
Step-by-step explanation:
The graph is of function f(x) = x²
Therefore, to find where the function intersects with y = 0.5x + 3,
equal the functions and solve for x:
⇒ x² = 0.5x + 3
⇒ x² - 0.5x - 3 = 0
Multiply both sides by 2:
⇒ 2x² - x - 6 = 0
Factor:
⇒ 2x² - 4x + 3x - 6 = 0
⇒ 2x(x - 2) + 3(x - 2) = 0
⇒ (x - 2)(2x + 3) = 0
Therefore:
(x - 2) = 0 ⇒ x = 2
(2x + 3) = 0 ⇒ x = -1.5
