Please provide a step by step.

The number of ways that Grant can arrange 3 of the 10 plants is 120 ways and the number of ways that 4 floats out of 8 can be arranged is 70 ways.

Grant can arrange 3 out of 10 plants in the following number of ways:

= 10!/ ((10! - 3!)3!)

= ( 10 x 9 x 8) / (3 x 2)

= 120 ways

The parade organizer can arrange 4 floats out of 8 as:

= 8!/((8! - 4!)4!)

= (8 x 7 x 6 x 5) / (4 x 3 x 2)

= 70 ways

When 4! is written in expanded form, it comes out as:

= (4 x 3 x 2)

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Kellie's original number given the analogy and corresponding equation is 13

let

(x × 2) × 3 = x + 65

2x × 3 = 65 + x

6x = 65 + x

6x - x = 65

5x = 65

x = 65/5

x = 13

check:

6x = 65 + x

6(13) = 65 + 13

78 = 78

Therefore, the unknown number, x is 13

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The value of x in the given right triangle is approximately 7.14

Hypotenuse² = opposite² + adjacent ²

10² = x² + 7²

100 = x² + 49

100 - 49 = x²

51 = x²

x = √51

x = 7.14142842854284

Approximately,

x = 7.14

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Answer:

see the attachment photo!

just comment here if you need help

The best description about the line AD is,

⇒ Perpendicular bisector

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC is shown in figure.

Now, We have by figure;

BD = 17

DC = 17

Hence, We can say that;

Line AD is Perpendicular bisector of line BC.

Thus, The best description about the line AD is,

⇒ Perpendicular bisector

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Answer:

A. 17

Step-by-step explanation:

f(x) = 3x + 2

f(5) = 3(5) + 2

= 15 +2

= 17

Answer:

2(12 + π)

Step-by-step explanation:

This will get you about 30and even by just counting squares you will get the closest to this answer.

Answer:

24.19

Step-by-step explanation:

[tex] \tan(x) = \frac{6.2}{13.8} \\ x = { \tan}^{1} \frac{6.2}{13.8} \\ x = 24.19320899[/tex]

or the value of x can be 24.20

Answer:

  TRUE: A, B, C

  False: D

Step-by-step explanation:

A full circle of 360° has a radian measure of 2π radians. The relationship is proportional, so π radians is 180°.

__

A. An angle that measures π/4 radians also measures 45°. TRUE

  45° × π/180° radians = π/4 radians

B. An angle that measures 180° also measures π radians. TRUE

  180° × π/180° radians = π radians

C. An angle that measures 60° also measures π/3 radians. TRUE

  60° × π/180° radians = π/3 radians

D. An angle that measures π/3 radians also measures 30°.​ FALSE

  30° × π/180° radians = π/6 radians

Daniel made an error in line 3. He wrongly divided the sum of sides and height. The area of the trapezoid is 42 cm².

A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides.

Area of a trapezoid = 1/2  x (sum of the lengths of the parallel sides) x height

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Step-by-step explanation:

the median is the value, where half of the other values is smaller (or equal), and the other half bigger (or equal).

with an even number of data points that is not directly possible to find.

in this case the 2 middle values are taken and their mean value is the median.

in our case, the 2 middle values are 12 and 14.

their mean value is

(12+14)/2 = 26/2 = 13

so,

13 is the median (even though if is not a data point itself).

Answer:

I believe the answer is: [tex]3B_i[/tex]. (Your equation should look something like this: [tex]\sum _{i=3}^5\:B_{\left(i\right)}[/tex] )

Step-by-step explanation:

[tex]1. \sum _{i=3}^5=\sum _{i=1}^5-\sum _{i=1}[/tex]

2.[tex]=\sum _{i=1}^5B_{\left(i\right)}-\sum _{i=1}^2B_{\left(i\right)}[/tex]

3.=[tex]=\sum _{i=1}^5B_{\left(i\right)}= 5B_{\left(i\right)[/tex]

4.[tex]\sum _{i=1}^2B_{\left(i\right)}= 2B_{\left(i\right)[/tex]

5.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}[/tex]

6.[tex]5B_{\left(i\right)}-2B_{\left(i\right)}=3B_{\left(i\right)}[/tex]

7. The answer should be: [tex]3B_{\left(i\right)}[/tex]

Hope this helps...

Answer:

[tex]3n^2+3n-6=54[/tex]

Step-by-step explanation:

Total Area=54 square inches. Area=length*width.

Because the length is [tex][3(n-1)][/tex], and the width is [tex](n+2)[/tex], you can plug that into the equation for area. In this case, because the total area is 54, we can plug that in for area.

[tex][3(n-1)](n+2)=54[/tex]

Distribute through the parenthesis in [tex]3(n-1)[/tex].

[tex](3n-3)(n+2)=54[/tex]

Then, multiply [tex]3n-3[/tex] and [tex]n+2[/tex] using whatever method you prefer. I used FOIL, which stands for First, Outer, Inner, Last. You multiply the first terms together, the outer terms together, the inner terms together, and the last terms together.  

[tex]3n^2+6n-3n-6=54[/tex]

Simplify.

[tex]3n^2+3n-6=54[/tex]

The histogram includes data from a voluntary response sample which is not representative of the population.

A histogram is a chart that represents numerical data using bars. The dataset is split into intervals, each interval is represented by a bar, and the number of variables in each interval makes up the frequency for that interval.

From the histogram attached, we can see that there is a huge gap from around 17000 miles to 32500 miles.

Now, when we have this kind of gap it means that the histogram includes data from a voluntary response sample which is not representative of the population.

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Answer:

w + 10 = 40

Step-by-step explanation:

10 more than w is w + 10 is equal to 40 is =40

w + 10 = 40

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Answer:

Step-by-step explanation:

10 more than w is equal to 40 what is the expression

10 + w = 40                 is the expression

w = 40 - 10

w = 30                        is the solution

Answer:

15

Step-by-step explanation:

-6y-5

Substitute 1/2 for y.

-6y-5

-6(1/2)-5

-3(-5)

15

[tex]~~(x+5)(2x+3)-3(x-2)(6x+5)\\\\=2x^2 +3x + 10x +15 - (3x-6)(6x+5)\\\\=2x^2 +13x +15 - (18x^2 +15x -36x -30)\\\\=2x^2+13x+15-(18x^2 -21x-30)\\\\=2x^2 +13x+15-18x^2 +21x +30\\\\=-16x^2 + 34x+45[/tex]

Answer:

x = -2

Step-by-step explanation:

[tex]2x(x-5)-x(3+2x) = 26\\2x^{2} -10x-3x-2x^{2} = 26\\-13x=26\\x=\frac{26}{-13} \\=-2[/tex]

Its basically the order of operations, from left to right , evaluate brackets (if possible), then multiplication or division, lastly followed by addition or subtraction.

2x2-10x-3x-2x2=26

Eliminam opusele

reducem termenii

-13x=26

imparte ambele parti

x=-2

Step-by-step explanation:

Step 4 is the reason SSS

The image of the point after the reflection across the x-axis is (8,5)

The point is given as:

D = (8,-5)

The rule of reflection across the x-axis is:

(x,y) -> (x,-y)

So, we have:

D' = (8,5)

Hence, the image of the point after the reflection across the x-axis is (8,5)

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The amount of money that Suzie will make over the four weeks is; $1856

Suzie will make a profit of:

The first week =  $300

The second week =  (300 * 30%) + 300 = $390

The third week = 390 * (1430%) = $507

The fourth week: 507 × (1430%) = $659.1

Thus, Sum of profit = $300 + $390 + $507 + $659.1

Sum of Profit = $1856.1 ≈ $1856

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The amount received by Ahmed is 168 gm.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity. Ratios can be classified into two types. One is part to part ratio and the other is part to whole ratio.

Here, let the amount received by Ahmed be 7x

          and amount received by Babar be 3x

       Total amount of sweets = 240 gm

Now, according to question,

           7x + 3x = 240

              10x = 240

               x = 240/10

              x = 24

Thus, the amount received by Ahmed is 7 X 24 = 168 gm and amount received by Babar = 3 X 24 = 72 gm.

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Step-by-step explanation:

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Answer:

[tex]x < - 5[/tex]

Step-by-step explanation:

[tex] - 2x - 6 > x + 9[/tex]

[tex] - 2x - x > 9 + 6[/tex]

[tex] - 3x > 15[/tex]

[tex] \frac{ - 3x}{ - 3} > \frac{15}{ - 3} [/tex]

[tex]x < - 5[/tex]

The minimum target heart rate for a person 20 years old is 120 beats per minute

The equation of the function is given as:

y = -0.6x + 132

Where x represents the age, and y represents the minimum target heart rate

From the question, we have:

x = 20

Substitute x = 20 in y = -0.6x + 132

This gives

y = -0.6 *20 + 132

Evaluate

y = 120

Hence, the minimum target heart rate for a person 20 years old is 120 beats per minute

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Answer:

Answer is 120 !!

Step-by-step explanation:

~Hope this helps! :)

Answer:

18%

Step-by-step explanation:

178 200 / 990 000    x 100% = 18%

The amount of time that Nora practices flips is; t = 1 ¹/₄

We are told that;

Nora spends time practicing flips on the trampolines. Let this be t.

Then, she spends 1/2 of an hour eating birthday cake with her friends.

Thus, total amount of time spent on flips and eating with her friends is;

t + ¹/₂ = 1 ³/₄

t = 1 ³/₄ - ¹/₂

t = 1 ¹/₄

Complete Question is;

After arguing for two weeks, Nora convinced her parents to have her birthday party at FlyZone trampoline park. As soon as she gets there, Nora spends time practicing flips on the trampolines. Then, she spends 1/2 of an hour eating birthday cake with her friends. In all, Nora spends 1 3/4 hours at FlyZone. Which equation can you use to find the amount of time Nora practices flips?

Solve this equation for (t) to find the amount of time Nora practices flips

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The number of boxes will weigh 18 ounces or less will be 138. Then the correct option is A.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The z-score is given as

z = (x - μ) / σ

Where μ is the mean, σ is the standard deviation, and x is the sample.

The weights of boxes of rice produced at a factory are normally distributed with a mean of 20 ounces and a standard deviation of 1.5 ounces.

Consider a shipment of 1500 boxes of rice.

Then the number of the boxes will weigh 18 ounces or less will be

z = (18 - 20) / 1.5

z = -1.33

Then the probability will be

P(x ≤ 18) = P(z ≤ -1.33)

P(x ≤ 18) = 1 - P(z > -1.33)

P(x ≤ 18) = 1 - [1 - P(z < -1.33)]

P(x ≤ 18) = P(z < -1.33)

P(x ≤ 18) = 0.091211

Then the number of the boxes will weigh 18 ounces or less will be

⇒ 0.091211 x 1500

⇒ 136.8

approximately 138 boxes.

Then the correct option is A.

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  c

Step-by-step explanation:

The volume of the rectangular aquarium prism will be 51840 cubic inches.

A closed solid with two parallel rectangular bases joined by a rectangle surface is known as a rectangular prism.

Your teacher just bought a new aquarium that is a rectangular prism.

If an aquarium has a length of 48 inches, a width of 36 inches, and a height of 30 inches.

Then the volume of the aquarium will be

The volume is given as

Volume = Length x Width x Height

Then we have

Volume = 48 x 36 x 30

Volume = 51840 cubic inches

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The Dilation is 0.76

Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller. This transformation produces an image that is the same as the original shape.

Dilation or scale factor=  Dimension of new shape/ dimension of old shape

= Perimeter of new triangle(green)/ Perimeter of old Triangle (blue)

= 8.3/10.9

= 0.76

Hence, the scale factor is 0.76.

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