What is the mean of 87, 93, 86, 90, and 84?

Answers

Answer 1
Answer: 88 would be the mean.
Answer 2
Answer:

Final answer:

The mean of 87, 93, 86, 90, and 84 is 88.

Explanation:

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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A boat can carry 582 passengers to the base of a waterfall. A total of 13,105 people ride the boat today. All the rides are full except for the first ride. How many rides are given?

Answers

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

The answer is r=22 because division

Peta makes a painting on a parallelogram-shape canvas what’s the area of this parallelogram?

A. 1.53
B. 3.74
C. 5.27
D. 22.09

Answers

the answer should be C. 5.27

on Saturday Leo and his brother drove into town to visit their mom Leo is trying to remember how much he spent on gas and tolls tolls were a dollar $1.75 each and he also spent $28 at the gas station to fill up what are the terms and their factors and coefficients of the algebraic expression that represents the total cost of gas and tolls

Answers

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.

Find the area of a square with side a when a=2 in, a=12 in, and a=0.8 in. Are the area of a square and the length of its side directly proportional quantities? Why or why not?

Answers

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 = Length^2

Area of a Square of Length 2 inch = 2^2=4 \:square \:inch

Area of a Square of Length 12 inch = 12^2=144 \:square \:inch

Area of a Square of Length 0.8 inch = 0.8^2=0.64 \:square \: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.

The resistance (R) in a wire increases when the length of the wire (L) increases. Write the correct equation for this scenario, and solve for when the length is 1. Length Resistance 10 2 15 3 a. R = 20 over L; R = 20
b. R = .2L; R = 5
c. R = .2L; R = .2
d. R = 20 over L; R = 5

Answers

Answer: c. R = 0.2L ; R =0 .2


Step-by-step explanation:

Given: When length of wire is L_1= 10 units, then resistance of wire R_1==2 ohm

When length of wire is L_2=15 units, then resistance of wire R_2==3 ohm

Since, the resistance (R) in a wire increases when the length of the wire (L) increases. Therefore, they are directly proportional.

(R)/(L)=(R_1)/(L_1)

(R)/(L)=(2)/(10)\n\Rightarrow\ R=0.2L

Now, for Length L=1 unit, we have

R=0.2(1)=0.2




A vat has a capacity of 642 fl oz. estimate the capacity in cups

Answers

Solve:- 
1 cup = 8 fl oz

Convert:-

642 ÷ 8 = 80.25

642 fl oz = 80.25 cups
About 80 cups