The correct answer is that you start with no refills, paying $2 for the first drink, and when you receive a refill, you pay an additional $1, totaling $3.
For the blue marbles:
16 = 8 * 2 (8 sets containing 2 marbles each)
For the white marbles:
8 = 4 * 2 (4 sets with 2 in each)
8 + 4 = 12
Answer:
The maximum number of groups that Colton can form is 12.
Answer:
The appropriate ratio to convert 45 cm into feet is 1 foot / 2.54 cm since the centimeters will cancel out.
Step-by-step explanation:
We aim to find the ratio that will allow us to convert from centimeters to feet for 45 cm.
The right ratio here is 1 foot / 2.54 cm, as the cm unit will be eliminated, resulting only in feet.
This works as follows;
1 foot / 2.54 cm * 45 cm.
This simplifies to;
(45 cm * 1 foot) / 2.54 cm.
the response is 17.5 units.
To solve the previous problem, we can split the triangle into two right triangles, each having a base of 10 cm and a hypotenuse of 18 cm. The measure of the longer side is necessary to determine the height of the isosceles triangle. By applying the Pythagorean theorem, a² + b² = c², we have a² + (10cm)² = (18cm)², leading to a² = 324 cm² - 100 cm², thus a² = 224 cm². This results in a = √224 cm², which is approximately a = 14.97 cm. The area is then given by A = 1/2 * base * height, or A = 1/2 * 20 cm * 14.97 cm, yielding A = 149.70 cm². Using the formula A = r/2 * p, we derive 149.70 cm² = r/2 * (18cm + 18cm + 20cm), simplifying to 149.70 cm² = r/2 * 56 cm. This results in 149.70 cm² ÷ 56 cm = r/2. Consequently, r/2 equals 2.67 cm, and thus r is 5.34 cm. In conclusion, the final answer is that the radius is approximately 5.35 cm.
