Answer:
3 min.
5 balloons.
Step-by-step explanation:
How many minutes does it take to make one balloon sculpture?
t = (Total time) / (Total identical balloon sculptures) = 96 / 32 = 3 min.
How many balloons are used in one sculpture?
n = (Total balloons) / (Total identical balloon sculptures) = 160 / 32 = 5 balloons.
Answer:
5 miles
Step-by-step explanation:
since she hopped in yards you must mulitiply both numbers 3520 and 5280 by 3 since there are three feet in a yard. then add together then divide the sum by 5280 since a mile is 5280 feet.
3520 X 3 = 10560
5280 X 3 = 15840
10560 + 15840 = 26400
26400/ 5280 = 5
Answer:
5 amperes will produce the maximum power of 300 watts.
Step-by-step explanation:
The general form of a quadratic function presents the function in the form

The vertex of a quadratic function is the highest or lowest point, also known as the maximum or minimum of a quadratic function.
We can define the vertex by doing the following:
- Identify a, b, and c
- Find, the x-coordinate of the vertex, by substituting a and b into

- Find, the y-coordinate of the vertex, by evaluating

We know that the power generated by an electrical circuit is modeled by

This function is a quadratic function.
To find the current that produce the maximum power you must
a = -12 and b = 120
- Find, the maximum current of the vertex, by substituting a and b into


- Find, the maximum-power, by evaluating


5 amperes will produce the maximum power of 300 watts.
We can check our work with the graph of the function
and see that the maximum is (5, 300).
Answer:
To solve one-step equations, we do the inverse (opposite) of whatever operation is being performed on the variable, so we get the variable by itself. The inverse operations are: Addition and subtraction. Multiplication and division.
Step-by-step explanation:
by it self.
In the usual spinner that we have, the circular figure is divided into 8 equal parts. Each of which is numbered from 1 to 8. There are two of these numbers that are multiple of 4 (4 and 8). Now, the probability that the spinner will land on a multiple of 4 is equal to 2/8 or also equal to 1/4 or 0.25.