Hi :)
The mean is the average, and to take the average, they had to do this:
{students' minutes added together} ÷ 14 students = 133 minutes
This is basic pre-algebra; to find the total, we do the reverse of what they did. Since they divided by 14 to get 133, we're going to do the opposite. We're going to multiply 133 by 14 to get the total:
133 × 14 = 1862 minutes
Next question. The typical amount of time a student talked in a week was 133, and you're trying to find the typical amount of time in a day. There are 7 days in a week, so divide 133 by 7 to get the typical number of minutes in a day. (I won't do this for you-- you got this!)
Alright, so 19 students talked 171 minutes on average. Let's go back again and see what the total number of minutes were.
{total} ÷ 19 = 171
{total} = 171 × 19
{total} = 3249
But, hang on. They don't just want to know the total, they want to know the "mean number of minutes the additional five other students talked". That means we have to first subtract the 14 students' total from the 19 students' total to see what the difference is:
3249 - 1862 = 1387
So the five students added 1387 minutes to the average.
Divide 1387 by 5 to see the mean number of minutes per each of the five students.
You got this! Have fun!!
Answer:
<u>The dimensions of the basketball section are: length of 17.5 feet and width of 14 feet.</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Length of the small rectangular basketball section = 1.25 times the width
2. Part A. Create an equation to represent the area of the basketball section, A, in terms of the width, w.
Let's recall that the formula of the area of a rectangle is:
Area = Length * Width, therefore:
A = 1.25w * w
<u>A = 1.25w²</u>
Part B. Jackson decides to make the area of the basketball section 245 sq feet. What are the dimensions, in feet of the basketball section?
Let's replace the value given in the equation we created in part A, this way:
A = 1.25w²
245 = 1.25w²
w² = 245/1.25
w² = 196
√w² = √196
w = 14 ⇒ 1.25w = 17.5
<u>The dimensions of the basketball section are: length of 17.5 feet and width of 14 feet.</u>
Answer:
Step-by-step explanation:
Dice, cards, spinners and the like are interactive and engaging math aids to get children involved in learning about probability, chance, number patterns and statistics.
Answer:
$6.03
Step-by-step explanation:
The question is asking us how much each pair of socks cost. With the information we are given, we know that there are 5 pairs and that they all cost the same amount. If the total were just the 5 socks, we could easily divide the total by 5 to get the price of each pair but that's not the case. The soccer ball is included in the final cost. To overcome this, we just have to subtract the soccer ball's cost ($45) from the total.
So we subtract $45 from $75.15, giving us $30.15, the total amount of all the socks. However we need to find out how much each pair costs and there are 5 of them, so we divide 30.15 by 5. This gives us the answer, $6.03.
Each pair of socks cost $6.03.
Simpler Explanation:
- $75.15 - $45 = $30.15
- $30.15 / 5 = $6.03
The answer is $6.03
Answer:
AB = 2.25
Step-by-step explanation:
Perimeter of square = 4L
24 = 4L
L = 24/4
L = 6cm
Hence the side length of square is 6cm
Area of square = L^2
Area of square = 6^2
Area of square = 36 sq. cm
Area of square = 1/2 * Area of the trapezium
36 = 1/2 * (AB+3AB)*8
72 = (AB+3AB)*8
72 = 4AB * 8
72 = 32AB
AB = 72/32
AB = 2.25