-32-(-27)= what is negative 32 minus negative 27?

Luden [163]

The problem statement gives a relation between the amount removed from one bag and the amount removed from the other. It asks for the amount remaining in each bag. Thus, there are several choices for variables in this problem, some choices resulting in more complicated equations than others.

Let's do it this way: let x represent the amount remaining in bag 1. Then the amount removed from bag 1 is (100-x). The amount remaining in bag 2 is 2x, so the amount removed from that bag is (100-2x). The problem statement tells us the relationship between amounts removed:

... (100 -x) = 3(100 -2x)

... 100 -x -3(100 -2x) = 0 . . . . . . subtract the right side

... 5x -200 = 0 . . . . . . . . . . . . . . eliminate parentheses and collect terms

... x -40 = 0 . . . . . . . . . . . . . . . . .divide by 5

... x = 40 . . . . . . . . . . . . . . . . . . . add 40

40 kg is left in the first bag
80 kg is left in the second bag

_____

<u>Check</u>

The amount removed from the first bag is 60 kg. The amount removed from the second is 20 kg. The amount removed from the first bag is 3 times the amount removed from the second bag, as described.

4 0

3 years ago

Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviat

Aleksandr-060686 [28]

Answer:

Range = 71

Variance = 546.0

Standard Deviation = 23.4

Option A) Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

Step-by-step explanation:

We are given the following data set in the question:

33, 29, 97, 56, 26, 78, 83, 74, 65, 47, 58

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

$\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{646}{11} = 58.7$

Sum of squares of differences = 5460.18

$\text{Variance} = \frac{5460.18}{11} = 546.0$

$S.D = \sqrt{\frac{5460.18}{10}} = 23.4$

Sorted Data Set: 26, 29, 33, 47, 56, 58, 65, 74, 78, 83, 97

Range = Maximum - Minimum

Range = 97 - 26 = 71

Based on the values, we can say that

Option A) Jersey numbers are nominal data that are just replacements for names, so the resulting statistics are meaningless.

6 0

4 years ago

Can someone help me thank you its fine if u help wit some

den301095 [7]

Im sorry i can’t help you but you can use photomath and also Aaa HANGE

3 0

3 years ago

A coconut is a fruit that is made up of a hard outer shell that is spherical. Inside, there is a thick layer of coconut meat tha

Dvinal [7]

Answer:

V = 18816.57 in^3

Step-by-step explanation:

So we need to find the volume of the inner sphere. Try to picture the coconut as a circle with another circle inside of it. We know that the bigger circle is 55 inches wide, and the distance between the circumferences of the circles is 11 inches. that means the inner circle is 55 - 2(11) inches wide. This is because we have 11 inches of coconut meat on either side of the inner circle.

55 - 2(11) = 33 inches

The radius is half of the diameter, so r = 16.5 inches.

Now just use the formaula V = $\frac{4}{3}\pi r^{3}$

V = (4/3) * 3.14 * (16.5)^3

V = 18816.57 in^3

<em>Also, just a side note.. this is one big coconut..</em>

7 0

3 years ago

Ruby bought 2 chicken wings for $4. What was the cost of the wings in dollars per wing ?

AnnZ [28]

Answer:

$8

Step-by-step explanation:

3 0

3 years ago

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