The mean of 87, 93, 86, 90, and 84 is 88.
To find the mean of a set of numbers, you need to sum up all the numbers in the set and then divide by the total number of values. For this set, the sum is 87 + 93 + 86 + 90 + 84 = 440. There are 5 numbers in the set, so to find the mean, you divide the sum by 5: 440 ÷ 5 = 88.
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Answer: r = 22
Step-by-step explanation:
582 passengers on the boat
Let r be the number of rides.
So, we want to find r when:
582r = 13105
To solve for r, and we get:
r = 22.517
If we round this down, setting 0.517 rides as the first ride, we get:
r = 22
A. 1.53
B. 3.74
C. 5.27
D. 22.09
the answer should be C. 5.27
Let t be the number of tolls they crossed.
Amount they spent at each toll = $1.75.
Amount they spent at gas station = $28.
Let C be the total amount they spent on gas and tolls.
If they crossed 1 toll, then
C = 28 + 1.75(1).
If they crossed 3 tolls, then,
C = 28 + 1.75(3)
If they crossed t tolls, then,
C = 28 + 1.75t
Here, the terms are 28 and 1.75t and the factors are 1.75 and t.
Answer:
4 inches²
144 inches²
0.64 inches²
Yes, the area of a square and the length of its side directly proportional quantities.
Step-by-step explanation:
In this question, we have to find the area of square by changing the lengths of a side. Given lengths are: 2, 12, 0.8. I will evaluate the area of each side and try to find out the relation between area and length of side.
First, we start with the smallest length (a=0.8 inches)
Area of a square is calculated by taking the square of single side (since both sides are equal).
Area of square = a²
Area of square = 0.8²
Area of square = 0.64 inches²
Area of square with smallest side length (a=0.8 inches) = 0.64 inches²
Secondly, we start with the 2nd highest length (a=2 inches)
Area of square = a²
Area of square = 2²
Area of square = 4 inches²
Area of square with second largest side length (a=2 inches) = 4 inches²
Thirdly, we start with the highest length (a=12 inches)
Area of square = a²
Area of square = 12²
Area of square = 144 inches²
Area of square with highest side length (a=12 inches) =144 inches²
As we can see, with the increase in the length of a side, area of square is also increasing. Therefore, yes the area of a square and the length of its side are directly proportional quantities as the area increases or decreases when the length of the side increases or decreases.
Answer:
They are directly proportional quantities.
Step-by-step explanation:
DEFINITION
Two quantities are said to be directly proportional if an increase in one quantity lead to an increase in the other quantity.
Area of a Square =
Area of a Square of Length 2 inch =
Area of a Square of Length 12 inch =
Area of a Square of Length 0.8 inch =
Arranging the sides and corresponding area in ascending order:
(0.8, 2, 12) = (0.64, 4, 144)
We notice that as the length increases, the area also increases.
Therefore, the area of a square and the length of its side are directly proportional quantities.
b. R = .2L; R = 5
c. R = .2L; R = .2
d. R = 20 over L; R = 5
Answer: c. R = 0.2L ; R =0 .2
Step-by-step explanation:
Given: When length of wire is 10 units, then resistance of wire =2 ohm
When length of wire is 15 units, then resistance of wire =3 ohm
Since, the resistance (R) in a wire increases when the length of the wire (L) increases. Therefore, they are directly proportional.
Now, for Length L=1 unit, we have