Two friends are playing with water balloons. They each start at the bucket of balloons and walk in opposite directions before tossing their balloons at each other. Joy walked 12 steps forward, and Shaunte walked 8 steps backwards. Which expression correctly represents the distance between the friends?

12 + 8 = 20 steps
12 + |−8| = 20 steps
|−12| + 8 = 20 steps
|−12| + |−8| = 20 steps

Answer:

Step-by-step explanation:

The first one its easy

Using a proportional relationship, the amounts are given as follows:

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For this problem, we have that:

From the first row of the table, the constant is given as follows:

k = 35/15 = 7/3.

Hence the relationship is:

y = 7/3x.

For the second row of the table, we have that x = 3, hence:

y = 7/3 x 3 = 7.

For the third row of the table, we have that y = 84, hence:

84 = 7/3x

x = 84 x 3/7

x = 36.

Then the amounts are given as follows:

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Answer:

Step-by-step explanation:

0=0

The Total cost for a tour group consisting of n number of people is 20n

An equation is an expression that shows the relationship between two or more numbers and variables.

Let T represent the total cost if a tour group consisting of n people

Since A walking tour of Washington, D.C., costs $20 per person. Hence, for n number of people:

Total cost = $20 per person * n persons = 20n

The Total cost for a tour group consisting of n number of people is 20n

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Using translation concepts, the notation that describes this transformation is:

C. (x,y) -> (x - 8, y - 8).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.

To generate figure 2 from figure 1, these following translations happened:

Thus the rule is given by:

C. (x,y) -> (x - 8, y - 8).

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Answer: (x',y') = (x - 4,y - 8)

Step-by-step explanation:

Answer: 7

Step-by-step explanation: add all the numbers up and divide them by how many numbers they are

The statements are:

x . y = m/n

substituting the values.

a/b . y = m/n

multiplication property of equality.

b/a . a.b . y  = m/n . b/a

simplify.

y = mb/na

The product of a rational number with an irrational number is an irrational number. To see this assume that x is a rational number and y an irrational number. Then let us assume that the product xy is rational, which means that there are integers a,b such that xy=a/b. But then we obtain y=(1/x)(a/b) which is also rational since the set of rational numbers is closed under multiplication. But this is a contradiction since y was assumed to be an irrational number.

Hence we made the required conclusion.

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This is an observational study because this is taken as observing all possible ways.

An observational review is utilized to respond to an exploration question dependent simply upon what the scientist notices. There is no impedance or control of the examination subjects, and no control and treatment gatherings. These examinations are much of the time subjective in nature and can be utilized for both exploratory and logical examination purposes. In observational examinations, the analyst isn't permitted to control anything. They just notice and gather patterns inside the set up and hypothesize from those outcomes. Observational examination takes into consideration more precise information assortment, eliminating predispositions and inspecting blunders. Notwithstanding, it tends to be tedious because of extended periods of time of dormancy.

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Filling the table to show the relationship between the total cost, c, and the number of books ordered is as follows:

Number of Books      Total Cost ($)

            2                     $17 ($6 x 2 + $5)

            6                     $41  ($6 x 6 + $5)

           10                    $65  ($6 x 2 + $5)

The total cost is a function of the number of units and the variable cost per unit plus the fixed costs.

For instance, the total cost of 9 books, in this scenario, is $59 ($6 x 9 + $5).

Cost per book = $6

Shipping fee = $5

Number of Books      Total Cost ($)

            2                   $17 ($6 x 2 + $5)

            6                  $41  ($6 x 6 + $5)

           10                 $65  ($6 x 2 + $5)

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The probability of getting heads is 31/50.

Number of tosses = 50

Number of heads = 31

The probability of getting heads will be:

= Number of heads / Total number of tosses

= 31/50

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Hi ~

︵‿︵‿︵‿︵︵‿︵‿︵‿︵︵‿︵‿︵‿︵︵‿︵‿︵‿︵︵‿︵‿︵

-14/64

Divide the numbers: [tex]\bold{14}[/tex] ÷ [tex]\bold{64 = 0.21875}[/tex]

[tex]\bold{= -0.21875}[/tex]

Hope It Helps...

[tex]\textsc{A \: n \: s \: w \: e \: r:}[/tex]

TheAestheticGirl

The properties of the mean and median to determine which

are the correct mean and median for the following histogram. The answer is Mean is 3.5; median is 3.1.

Mean

[tex]\mu=& \varepsilon x \cdot P(x)[/tex]

= 0(0.04)+1(0.08)+2(0.125)+3(0.24) +4(0.15)+5(0.14)+6(0.12)+7(0.05)

= 0+0.08+0.25+0.72+0.6+0.7+0.72+0.35

= 3.42 [Approx: 3.5]

Mean =3.5 of median 3.1.

A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data collection is called the mode.

The median is computed by sorting the scores into numerical order, dividing the total by 2, rounding the result up if the number of scores is odd to determine the median position, or by averaging the median position and the position after it, if the number of scores is even.

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The third term of the arithmetic sequence is 18.

The arithmetic sequence formula can be represented as follows:

nth term = a + (n - 1)d

where

Therefore, 4 numbers are inserted between 4 and 39.

Hence,

a = 4

39 = 4 + 5d

39 - 4 = 5d

35 = 5d

d = 35 / 5

d = 7

Hence, the common difference of the arithmetic sequence is 7.

Therefore, the sequence of the arithmetic sequence is as follows:

4, 11, 18, 25, 32, 39

Therefore, the third term of the arithmetic sequence is  18

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Answer:

L = 8

w = 3

Step-by-step explanation:

Givens

w = L - 5

L = x

Area = 24

Formula

Area = L * w

Solution

Area = (x) * (x - 5)

24 = x * (x - 5)                      Remove the brackets

24 = x^2 - 5x                       Subtract 24 from both sides

0 = x^2 - 5x - 24                  This will factor

0 = (x - 8)(x + 3)

x + 3 is an extraneous root. You cannot have a length of -3 units no matter what the units are.

x - 8 = 0  

x = 8

Answer

The length = 8

The width is = 8 - 5 = 3  

The shortest side of the triangle measures 17 feet.The second side of the triangle measures 20 feet.The third side of the triangle measures 31 feet.What is the length of the three sides?The perimeter of a triangle is the sum of the length of the three sides of the triangle. Let the shortest side be represented with s.The second side = 3 + s The third side = 2s - 3 2s - 3 + 3 + s + s = 68 4s = 68s = 17The second side = 17 + 3 = 20 The third side = = (2 x 17) - 3 = 31

The best measure to do so will be is in feet that is the principal will measure it as 10 feet.

The principal has to measure the floor of the second grade classroom.

The best measure to do so will be is in feet

As centimeters and inches will be too short to measure it and can cause problems while further maintaining the records.

Yards on the other hand is a too big unit of measurement to bthe length of the classroom.

Therefore, the best measure to do so will be is in feet that is the principal will measure it as 10 feet.

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Your question was incomplete. Please refer the content below

The principal is measuring the floor of the second-grade classroom.

What is the best estimate for the length of a classroom?

10 yards

10 centimeters.

10 feet

10 inches

The weight average of the coordinates is 5

The given parameters are:

The weight average is then calculated as:

Weight average = Sum of (Weight * Coordinate)/Sum of Weights

So, we have:

Weight average = (-1 * 1 + 4 * 2 + 9 * 2)/(1 + 2 + 2)

Evaluate the quotient

Weight average = 5

Hence, the weight average of the coordinates is 5

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Answer:

Step-by-step explanation:

(25x-5) 12X- Ax15

Answer:

20

Step-by-step explanation:

To find this, we need to figure out what 1/5 is as a decimal

5/5 = 1, so 5 groups of 1/5 equals 1

Multiply this by 4, 20 groups of 1/5, or 20/5 = 4

Now we confirm this

1/5=0.2

4/0.2=20

So it is true

Hope this helps!^^

Answer:

Step-by-step explanation:

−4  +  9  −   2x  −9x

−4  +   9  +  −  2x  +  −9x

−4  +  9  +  −2x  +−  9x

(   −2x+−9x   )+(   −4+9   )

−11x    +    5

The volume of a cube that has a total surface area of 54 square millimeters is 27 cubic millimeters

The surface area is given as

A = 54

This is calculated using

A = 6L^2

So, we have

6L^2 = 54

Divide

L^2 = 9

This gives

L = 3

The volume is

V = L^3

This gives

V = 3^3

Evaluate

V = 27

Hence, the volume of a cube that has a total surface area of 54 square millimeters is 27 cubic millimeters

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The perimeter of Stephanie’s triangle is half the perimeter of Juan’s triangle.Numerical expression to describe the perimeter of Stephanie’s triangle is S =(1/2) J;

Let as assume that

Stephanie's triangle has a perimeter (S)

And, Juan's triangle has a perimeter (J);

According to question, it implies:

S =(1/2) J;

The whole length of any closed shape's boundary is known as its perimeter. Let's use an illustration to try to comprehend this. You may have a sizable square-shaped farm, for instance. You now decide to fence your farm in order to protect it from stray animals. Finding the entire length of the farm's boundary is as simple as multiplying the length of one side of the farm by 4. There are a lot of situations like this when we can be applying the perimeter-finding notion without even realizing it.

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Step-by-step explanation:

You first need to get the absolute vaule of x+5 by its self. So you need to divide 4 on yet sides

[tex] |x + 5| = 6[/tex]

Then set up two equations a negative and a postive on

[tex] |x + 5| = 6[/tex]

x=1

[tex] |x + 5| = - 6[/tex]

x=-11

Hope that helped!

Feel free to ask questions!

(i) Maximum students were watching T.V for 4-5 hours.

(ii) 34 students watched T.V for less than 4 hours.

(iii) 14 students spent more than 5 hours watching TV.

Given from the graph we can say that:

The process of acquiring, storing, and displaying data in a way that makes it easy for others to use (read or fetch data), such as in graphs or charts, is known as data handling. Statistics is another name for it. Additionally, it is employed for data comparison and mean, median, and mode extraction.

(i) maximum number of students watching TV  =32

Almost 32 students watched TV for 4-5 hours.

(ii) For students watching TV for less than 4 hours = ?

= 4 ₊ 8 ₊ 22

= 34

(iii) students who spent more than 5 hours watching  TV = ?

= 8 ₊ 6

= 14

Hence we get the desired answers.

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The solution to the compound inequality is 1200 < x < 1600 and the meaning is she must keep her calories consumed between 1200 and 1600

The compound inequality is given as

2450 < 2x + 50 and 2x + 50 < 3250

Subtract 50 from both sides of the inequality

So, we have

2400 < 2x and 2x < 3200

Divide through the inequality by 20

So, we have

1200 < x and x < 1600

Combine the inequalities

1200 < x < 1600

Hence, the solution to the compound inequality is 1200 < x < 1600 and the meaning is she must keep her calories consumed between 1200 and 1600

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Answer:

.05

Step-by-step explanation: