10.
On her pogo stick, Lula made 24 hops
in 30 seconds. At this rate, how many
hops will she make in 50 seconds?

Answer:

21

Step-by-step explanation:

Median = 1 + 2 + 5 + 6 + 7

Median = 21

The mean, median and mode of the data are 29.6, 31.5 and two modes 25 and 38.

Mean of a data set is the average of all the values. It gives the exact middle point of the data set.

Median of a data set is the element in the middle if the data are arranged in increasing or decreasing order.

Mode of a data set is the value that occur most frequently in a data set.

The data are given in a stem and leaf plot.

The data in the first row are, 03, 05

In the second row are 10, 13, 16, 18

In this order, all the data sets can be written as,

3, 5, 10, 13, 16, 18, 20, 21, 24, 24, 25, 25, 25, 31, 32, 35, 36, 37, 38, 38, 38, 39, 42, 43, 44, 45, 48, 54

Mean of the data = Sum of the data values / total number of data

Sum of the data values = 829

Total number of data = 28

Mean = 829 / 28 = 29.6

Median is the middle element when the data points are arranged in ascending or descending order.

Since there are even number of data points, there are two middle elements. Median is the average of those.

Middle elements are 31 and 32 which are 14th and 15th elements.

Median = (31 + 32) / 2 = 31.5

Mode is the most repeating element.

25 and 38 are repeating three times.

So there are two modes, 25 and 38.

Hence the mean median and mode are found.

Learn more about Mean, Median and Mode here :

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#SPJ2

Answer:

Double Facts are additions in which a number is added to itself. For example, 1 + 1, 2 + 2 etc. Internalizing double facts are helpful building blocks in developing fluency in adding single digit numbers.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

length*width

3*3=9

Answer:

∠K'=37°

∠L'=43°

∠M'=100°

Step-by-step explanation:

Given:

The triangle KLM is reflected over the y-axis and translated 3 units up.

To find the angles of a triangle K'L'M':

We know that reflection and translation transformation do not affect the angles of the triangle.

So, the angles are,

∠K'=37°

∠L'=43°

∠M'=100°

Answer:

[tex]50\%[/tex]

Step-by-step explanation:

Let x be the percentage then...

[tex]x\%(4)=2[/tex]

Start by dividing both sides by 4:

[tex]x\%=\frac{2}{4}[/tex]

Simplify the fraction:

[tex]x\%=\frac{1}{2}[/tex]

Then, multiply the fraction by 50/50, so we can get a number over 100 (that number would be the percentage). Note we can only multiply it by 50/50 since it is essentially multiplying the fraction by 1.

[tex]x\%=\frac{1}{2}*\frac{50}{50}\\x\%=\frac{50}{100}\\x=50\%[/tex]

Solution:

Note that:

Simplify the equation and solve.

Hence, 50% of 4 is 2.

Answer:

19

Step-by-step explanation:

For this equation all we have to do is substitute. The equation we have is [tex]2(12)-5[/tex] in this case the answer comes out to 19.

Some professors may want the answer written out as 19= 2m-5

Answer:

The length is always 1.6 times larger than the width.

When going from each model: A to B to C to D, the Width has an added 5cm each time.

When going from each model: A to B to C to D, the Length has an added 8cm each time.

Step-by-step explanation:

8/5 = 1.6

16/10 = 1.6

24/15 = 1.6

32/20 = 1.6

The length is 1.6 times larger than the width.

When going from each model: A to B to C to D, the Width has an added 5cm each time.

When going from each model: A to B to C to D, the Length has an added 8cm each time.

Answer:

Mrs. Thomas will have 24 inches knitted in 8 days!

Step-by-step explanation:

24/3 -= 8!

Hope this helps!

Answer:

324

Step-by-step explanation:

4x3=12

12x3=36

36x3=108

108x=324

Answer:

W and T are midpoints of the legs

Step-by-step explanation:

Answer:

when x is 0 y is 7

Step-by-step explanation:

just counting down till x is 0

Answer:

1: 69.23% 2.38.047%

Step-by-step explanation:

I belive these are the correct answers.

Answer:

Step-by-step explanation:

a. 100005

1 x 1000000 + 0 x 100,000 +  0 x 10000 + 0 x 1000 + 0 x 100 +  0 x 10 + 5 x1

1 x 10^6  + 0  x 10^5  + 0 x 10^4  + 0 x 10^3 + 0 x 10^2 +  0 x 10^1  + 5 x 1

= 100,000 + 0 + 0 +0 +0 + 5

b.  84016

 8 x 10000 + 4 x 1000 + 0 x 100 + 1 x 10 + 6 x 1

80000 + 4000 + 0 + 10 + 6

c. 9078

9 x 1000 + 0 x 100 + 7 x 10  + 8 x 1

9000 + 0 +7 + 8

d. 113

1 x 100 + 1 x 10 + 3 x 1

100 + 10 + 3

e. 75

7 x 10 + 5 x 1

70 + 5

Step-by-step explanation:

When using the slope-intercept form equation, we can determine that;

Since the slope and y-intercept are given, substitute the values into the equation.

Substitute:

[tex]y = 3x - 4[/tex]

Answer:

12C

Step-by-step explanation:

4 hours from 12-8= 4 hours

4x2=8

8+5=13

13-1 C because its 30 mins difference

12C

The activity described is an Observational Study. The explanatory variable was the design of the surrounding merchandise.

The exercise is an observational study because the researcher does not interfere with the subjects.

B) The study does not suffer from a lack of realism. The people were recruited randomly and were not told what to observe, rather, they were questioned later on what they had observed.

Realism in research refers to the concept that what occurs in the mind are tangible. These tangible occurrences may modify behavior and the factors that trigger such behaviors can be observed and identified by the use of qualitative means.

See the link below for more about Observational Studies:

Observational Studies:https://brainly.com/question/1051685

See the link below for more about Realism:

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[tex] log_{3}( {24})^{2} = 2 log_{3}24[/tex]

Thus the second option is the correct answer.

By finding the line and evaluating, we will see that x = 41/11

First, we need to get the line, for a line that passes through two points (x₁, y₁) and (x₂, y₂) the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So here we use the points (-5, -6) and (1, 5), the slope will be:

a = (5 - (-6))/(1 - (-5) = 11/6

So the line is something like:

y = (11/6)*x + b

To get the value of b, we use one of the given points, for example if we use the second point we must have:

5 = (11/6)*1 + b

5 - 11/6 = b

30/6 - 11/6 = b

19/6 = b

So the line is:

y = (11/6)*x + 19/6

Now, to find the value of x, we replace y by 10:

10 = (11/6)*x + 19/6

60/6 - 19/6 = (11/6)*x

41/6*(6/11) = x = 41/11

So the person in the image got it correct, but with other method.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/4074386

Lines are colinear so slopes must be equal

The pairs of integer factors of the given integer 7 are; -1, 1 and -7, 7.

The integer number given in the task content, whose pair of integer factors are to be determined is; 7.

By observation, it follows that the given integer, 7 is a prime number. On this note, only 1 and 7 are actual factors.

Ultimately, the required pair of integer factors are; -1, 1 and -7,7.

Read more on factors;

https://brainly.com/question/1258294

[tex]( - 6) {}^{3} = - 216 \\ {( - 7)}^{2} = 49[/tex]

Answer:

y = -3/2x - 8

Step-by-step explanation:

It is given to us that we have a slope of -3/2, and one of its points is (-2,-5)

So let's substitute the values in the equation y = mx + b to find b

-5 = -3/2(-2) + b

-5 = 3 + b

-3    -3

-8 =  b

b  =  -8

Now that we have b and m, we plug it into y = mx + b, getting y = -3/2x - 8

Comment if you have any questions! Your welcome :D

The center of the hanger represents an equal sign, since both sides of the hanger are equal.

Given different coloured triangles and shapes, we can assign a variable to each of them.

Let one green triangle be equal to [tex]a[/tex].

Let one blue square be equal to [tex]b[/tex]

Let one red circle be equal to [tex]c[/tex].

Let one yellow pentagon be equal to [tex]d[/tex].

On the left side of the hanger/equation, there are 3 green triangles. This means that one of our terms in our equation will be [tex]3a[/tex].

Under the triangles on the left side is 1 blue square. This means that the next term could be [tex]1b[/tex], or just [tex]b[/tex].

Next is 2 red circles ⇒ [tex]2c[/tex]

And finally are 3 yellow pentagons ⇒ [tex]3d[/tex]

To sum up the left side as an expression, we can write all the terms we have just written as a sum:

[tex]3a+b+2c+3d[/tex]

Now, after doing the same procedure for the right side of the hanger, we get:

[tex]2a+3b+c+2d[/tex]

For now, we only have two expressions representing the two sides of the hanger:

Left: [tex]3a+b+2c+3d[/tex]

Right: [tex]2a+3b+c+2d[/tex]

To turn these into an equation, we must have an equal sign.

Remember that both sides of the hanger are equal. Knowing this, we can state the following:

Left side = Right side

[tex]3a+b+2c+3d = 2a+3b+c+2d[/tex]

[tex]3a+b+2c+3d = 2a+3b+c+2d[/tex]

6350×90÷10

=6350×9

=57,150

Original Price=57,150

Answer:

B?

Step-by-step explanation:

Answer:

y=3/4x+2

Step-by-step explanation:

2 is the y intercept.

Go up 3 right 4 to reach a even point.

Answer:

98 cm²

Step-by-step explanation:

Lateral surface area = surface area of the sides ONLY of the object

⇒ lateral SA = B + C + D = 35 + 28 + 35 = 98 cm²

For finding surface area we will add them all.

Surface area

[tex]\\ \rm\hookrightarrow A+B+C+D+E[/tex]

[tex]\\ \rm\hookrightarrow 10+35+28+35+10[/tex]

[tex]\\ \rm\hookrightarrow 118cm^2[/tex]

As we need LSA so let out A and E

Step-by-step explanation:

The solution is above. please read it and give me the feedback if you get it or not.

If you don't, then it will be an honor to explain it further