Question 11
The mean of five numbers is 16.
When two extra numbers are included the mean of the seven numbers is 20.
Find the mean of the two extra numbers.

Answer:

Constant: -17

Coefficient: 7

Number of terms: 3

Step-by-step explanation:

Constant: -17

-> This is the number that doesn't change. No matter what m or p is, -17 will be -17

Coefficient: 7

-> The coefficient is the number next to the variable. In this case, the number "with" (being multiplied by) p is 7

Number of terms: 3

-> There are three terms. A term includes positive/negative, number, variables, etc.

-> The terms are:

[] [tex]9m^{4}[/tex]

[] [tex]7p[/tex]

[] [tex]-17[/tex]

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Question 1

You probably agree that it's fairly obvious that the stack on the right is slanted, while the stack on the left is straight up and down (more or less).

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Question 2

The stack on the left resembles a cylinder. It might help to wrap the coins in a paper casing to better see this.

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Question 3

The heights of each stack appears to be the same. This is assuming both stacks have the same number and type of coins.  

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Question 4

The two stacks have the same volume. This may seem a bit strange, but if both stacks have the same number and type of coins, then each of the individual coins has the same volume. When put together, the overall 3D solids will have the same volume as well. It doesn't matter if we slanted one of the stacks or not.

Answer:

11, 18, -7

Step-by-step explanation:

Sum: 2 + 9 = 11

Product: 2 x 9 = 18

Difference: 2 - 9 = -7

Answer:

length = 17.3 m

Step-by-step explanation:

Rectangles have four right angles, so the diagonal and its sides will form a right triangle.  This allows us to use the Pythagorean Theorem to find the length.

l^2 + 18^2 = 25^2

sqrt l^2 = sqrt (25^2 - 18^2), where l = 17.349 = 17.3 m

Answer:

x^2+6x+9

Step-by-step explanation:

(x+3)^2=

(x+3)(x+3)=

x^2+3x+3x+9=

x^2+6x+9

Answer:

44%

Step-by-step explanation:

100 + 20 = 120/100

(1.2)^2=1.44

144 - 100 = 44%

Answer:

false

Step-by-step explanation:

11 ≠ 4

11=11

4=4

Answer:

∠Z ≅ ​∠B

Step-by-step explanation:

∠X ≅ ​∠R

∠Z ≅ ​∠B

∠K ≅ ​∠C

∠H ≅ ​∠P

Hope this helps!! :)

Answer:

∠Z ≅ ​∠B

Step-by-step explanation:

Z is congruent to B

Answer:

first was the tan4cot

second was (-g,f)

Answer:

79

Step-by-step explanation:

Keep adding 4 since the common difference is 4

3,7,11,15,19,23,27,31,35,39,43,47,51,55,59,63,67,71,75,79

Answer: X=57

Step by Step Explination: 132 divided by X is 57 which means 57 is X if they can make a problem

Answer:

A = 73°

Step-by-step explanation:

A + B = 180 because of alternating interior angles

Substitute each angle

6x - 35 + 3x + 53 = 180

9x + 18 = 180

9x = 162

x = 18

Substitute A

A = 6x - 35

A = 108 - 35

A = 73

Hope this helps

Have a great day!

Answer:

a) (2,9); b) no points of intersection

Step-by-step explanation:

a)

Set the two equations equal to each other

7x - 5 = -2x + 13

Rearrange collecting like terms and solve

9x = 18

x = 2

Sub in x = 2 into either of the equations and it should yield the same result

Eq.1 y = 7(2) - 5 = 9

Eq.2 y = -2(2) + 13 = 9

Therefore the point of intersection is (2,9)

The graph confirms this result (see graph 1 with red and blue lines)

b)

As the gradients are the same, we can tell straight away that the two lines should be parallel and never intersect, but we'll try to solve it algebraically using the same method as in part a.

3x - 1 = 3x + 2

When rearranging, the x's cancel out which can be seen when subtracting 3x from both sides

-1 = 2

This equation is clearly incorrect. This means that there are no values of x at which the two equations are equal. Graphically, this means that the two lines are parallel and there are no points of intersection (see graph 2 with purple and green lines)

Answer:

Depth of the pond: 4494 m

Explanation:

Steps:

Answer:

Step-by-step explanation:

Let the number of CD's = c

Let the number of tapes = t

Total  number of CD's and tapes = 9

c + t = 9   --------------- (i)

Cost of 'c' CD's = 7*c = 7c

Cost of 't' tapes = 6*t = 6t

Total cost = $ 68

7c + 6t = 58 -----------------(ii)

Multiply the first equation by (-6) and then add the equations.

(i)* (-6)       -6c - 6t = - 54

(ii)               7c + 6t =  58    {Now add. here t will be cancelled}

                   c         = 4

Number of CD's  = 4

Plugin c = 4 in equation (i)

4 + t = 9

     t = 9 - 4

     t = 5

Number of tapes = 5

Perimeter of the figure = 26.5 m

Area of the figure = 59.68 m².

Perimeter of a figure is the length around the borders of the figure.

Find the Perimeter of the Figure:

Perimeter = 3.9 + 7.4 + 10.6 + 4.6 = 26.5 m

Area of the Figure:

Decompose the figure into two rectangles, rectangle 1 and rectangle 2.

Area of rectangle 1 = length × width = 10.6 × 4.6 = 48.76 m².

Area of rectangle 2 = length × width = 3.9 × (7.4 - 4.6) = 10.92 m².

Area of the figure = 48.76 + 10.92 = 59.68 m².

Learn more about perimeter and area of a figure on:

https://brainly.com/question/10061869

Let

10years ago

10years after

ATQ

[tex]\\ \tt\hookrightarrow 6x+20=2(x+20)[/tex]

[tex]\\ \tt\hookrightarrow 6x+20=2x+40[/tex]

[tex]\\ \tt\hookrightarrow 4x=20[/tex]

[tex]\\ \tt\hookrightarrow x=5[/tex]

▪︎If ten years ago , the age of daughter was x years , then , ten years ago the age of her father was 6x years ▪︎

Ten years after ,

According to the question,

▪︎6x + 20 = 2 ( x + 20 )

Therefore , Present age of the Father = 6x + 10 = 6 × 5 + 10 = 40 years and present age of the daughter,

hence , the age of his daughter is 15 years

Hope it helps ~

Solution:

The rationalisation factor for [tex] \frac{1}{ a - \sqrt{b} }[/tex] is [tex]a + \sqrt{b} [/tex]

So, let us apply it here.

[tex] \frac{1}{5 - \sqrt{2} } [/tex]

The rationalising factor for 5 - √2 is 5 + √2.

Therefore, multiplying and dividing by 5 + √2, we have

[tex] = \frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{5 + \sqrt{2} }{(5 - \sqrt{2})(5 + \sqrt{2} ) } \\ = \frac{5 + \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2} } \\ = \frac{5 + \sqrt{2} }{25 - 2} \\ = \frac{5 + \sqrt{2} }{23} [/tex]

Answer:

[tex] \frac{5 + \sqrt{2} }{23} [/tex]

Hope you could understand.

If you have any query, feel free to ask.

Answer:

[tex]\frac{5+\sqrt{2} }{23}[/tex]

Step-by-step explanation:

To rationalise the denominator, multiply the numerator and denominator by the conjugate of the denominator.

the conjugate of 5 - [tex]\sqrt{2}[/tex] is 5 + [tex]\sqrt{2}[/tex] , then

= [tex]\frac{1(5+\sqrt{2}) }{(5-\sqrt{2})(5+\sqrt{2}) }[/tex] ← expand denominator using aFOIL

= [tex]\frac{5+\sqrt{2} }{25-2}[/tex]

= [tex]\frac{5+\sqrt{2} }{23}[/tex]

Answer: 28

Step-by-step explanation:

[tex]\sqrt{8^2} -\sqrt{6^2} =\sqrt{?}[/tex]

[tex]\sqrt{64}-\sqrt{36} =\sqrt{?}[/tex]

[tex]\sqrt{64-36} = \sqrt{?}[/tex]

[tex]? = 64 - 36[/tex]

[tex]? = 28[/tex]

Answer:

{ 3x - y = 6

{ x + 2y = 16

Step-by-step explanation:

1- Simplify

*The Graph is in the attachment, hope this helps :)

Answer:

1:1

Step-by-step explanation:

have a good day friend :)

Answer:

$4,368

Step-by-step explanation:

This is  compound interest. and to calculate compound interest, which is (Amount - Principal) but we dont know the value for amount so we find the amount first by using the formula.

              A =  P ( 1 +   R ) ^n

                                100      

where p = principal    ($8,950)            

a =  amount       (?)

r =  interest rate    (6.85%)

n = time ( no of years)    (6)

A  =  8,950   ( 1   +   6.85 ) ^6

                             100                  A = 8,950 ( 1 + 0.0685) ^6

A = 8,950  ( 1.0685) ^6    

A = 8950 x 1.4881    A = 13,318

WE THEN FIND COMPUND INTEREST   C = A MOUNT - PRINCIPAL

13, 318 - 8950    = $4,368

Answer:

D would be the wisest choice.

Step-by-step explanation:

Consider the taxes and extra expenses the purchase may have. They may raise the actual payment, plus if you don't pay the balance immediately it'll keep growing and growing until you're in deeper debt.

Hope this helped, have a nice day!

Answer:

$142.03

Step-by-step explanation:

15% Gratuity on the Bill=

$123.50 X 0.15 =$18.525

Add this to the bill cost to find the total cost.

$123.50+$18.525

=$142.03

Hey there mate!

Please check the attached image of question for the answer with explanation.

Hope it helps ...

Answer:

3x + 0.8y

Step-by-step explanation:

1- Reorder and gather like terms

2- Collect coefficients of like terms

3- Calculate the sum or difference