Find the value of x.

m∠2 = 6x + 12

Check the picture below.

notice, sides are equal, opposite sides are perpendicular to their counterparts.

Answer:

the tenth term is 100: 10,20,30,40,50,60,70,80,90,100

the fourth term is 12: 4,6,8,12

the third term is 1/2: 1/8,1/4,1/2

i really don't know how to explain. i don't know if i am correct but i tried

Answer:

        1

 - 1 -------

        5

Step-by-step explanation:

   3           3

1 ------ × - -------

   5           4

   8           3

 ------ × - -------

   5           4

   8(4)     3(5)

 ------ × - -------

   5(4)     4(5)

   32       15

 ------ × - -------

   20        20

--------------------------------------------------------

32 × (-15) = -480

20 × 20 = 400

--------------------------------------------------------

   480 ÷ 80

- -------

  400 ÷ 80

   6                  1

- ------- or  - 1 -------

   5                  5

I hope this helps!

The number of white tiles is 20 and the number of shaded tiles is 24

The ratio of white tiles to shaded tiles is given as 5:6

Total number of tiles = 44 tiles

Let x be the number of shaded tiles then the number of white tiles will be 44-x

Formualting the equation using the above variables we get:

Number of white tiles/Number of shaded tiles = Ratio of white tile/Ratio of shaded tile

= 44-x/x = 5/6

= 264-6x = 5x

= 264 = 11x

x = 24

Hence, the number of white tiles is 20 and the number of shaded tiles is 24

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Answer:

4

Step-by-step explanation:

Given : g=72  and  h=4 

Then

[tex]\frac{g}{9} - h = \frac{72}{9} - 4[/tex]

        [tex]\large \text{= 8 - 4}[/tex]

        [tex]\large \text{= 4}[/tex]

Answer:

Step-by-step explanation:

4.3 +5 3/5

4 30/100+ 5 3/5

4 3/10 + 5 3/5

4 3/10 + 5 6/10

9 9/10

Does this help if you have any questions about this question or others I’d be happy to help

The Cost value of the car after 9 months is $55797.

According to the statement

We have to find that the value of the car after 9 months.

So, For this purpose, we know that the

The cost function can be used to find the average cost, which is the average amount of money it costs to produce a unit.

From the given information:

If you buy a car for $65,076 and it depreciates linearly at a rate of 19% per year, what will be its value after 9 months

Then

The depreciates linearly at a rate of 19% per year

It means the 19% of the value of the car is a :

Value of the rate of the depreciates = 19/100*65,076

Value of the rate of the depreciates = 0.19*65,076

Value of the rate of the depreciates = 12364.44

Value of the rate of the depreciates = 12365

It is he value decreased in a 12 months

Then

The value decreased in one month = 12365 /12

The value decreased in one month = 1030.41

The value decreased in one month = 1031.

Then

The value decreased in 9 months = 1031*9

The value decreased in 9 months = 9279

Then

The remaining value of the car = 65,076 - 9279

The remaining value of the car = 55797

So, The Cost value of the car after 9 months is $55797.

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The whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.

It follows from the task content that the use of compatible numbers is to be used to estimate the whole number quotients 5320/61.

On this note, since the numbers can be written as follows;

= (53.2 × 100)/(0.61 × 100)

= 53.2/0.61

The estimate can therefore be determined by evaluating;

= 53/0.6

= 88 remainder 1.

Therefore, the closest estimate of the whole number quotients 5320/61 as given in the task content is; 88.

Ultimately, the whole number quotients of the expression; 5320/61 as required to be evaluated in the task content is; 88.

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Step-by-step explanation:

The answer to the problem is as follows:

For a box with x chocolates, the cost of packaging is C(x) = x^2 and the

weight is W(x) = x + 2.

Thus the cost per unit weight is C(x) / W(x) = x^2 / (x + 2).

I hope my answer has come to your help. God bless and have a nice day ahead!

The cost for a day at the amusement park as a function of the number of ride tickets purchased is y = 12 + 2.75x

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The given parameters are:

Admission rate to the amusement park = $12

Cost of each ticket = $2.75

Let the number of tickets be x, and the total cost be y

So, the function can be represented as

y = Admission rate to the amusement park + Cost of each ticket * x

This gives

y = 12 + 2.75 * x

Evaluate the product

y = 12 + 2.75x

Hence, the cost for a day at the amusement park as a function of the number of ride tickets purchased is y = 12 + 2.75x

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Answer:

118 inches

Step-by-step explanation:

This is a conversion problem, so first we will need to change the yards to inches

3y=(3ft/1y)=9ft

9ft=(12in/1ft)=108in

add the 108 inches to the 10 inches

118 inches length

Answer:

4/7

Step-by-step explanation:

[tex]1 \frac{3}{4}=\frac{7}{4}[/tex]

So, the reciprocal is 4/7.

Answer:The answer is 10/6 or 1 4/6 or 1 2/3.

Step-by-step explanation: you can do either one and it will be equal the same.

Step-by-step explanation:

log64 + log32 - log128

= log 2⁶ + log 2⁵ - log 2⁷

= 6log2 + 5log2 - 7log2

(sorry I can't continue from here... someone else can help...maybe?...sorrrrryyy)

Answer:

d = 6

Step-by-step explanation:

-2 +3i+ 12i = 9i-(2-di)

-2 + 15i = 9i - 2 + di

-2 + 15i = -2 + 9i + di

6i = di

6 = d

Answer:

-8

Step-by-step explanation:

Yes, it is rational. It's an integer.

Answer:

1

Step-by-step explanation:

Summary. Currency value is determined by aggregate supply and demand. Supply and demand are influenced by a number of factors, including interest rates, inflation, capital flow, and money supply. The most common method to value currency is through exchange rates.

A variable is a term used to express the unknown value or quantity.

A variable is an alphabet or term that represents an unknown number or unknown value or unknown quantity. It is used when we do not know the actual value of the number or the quantity.

For example: let x denote the number of hours taken by Sam to complete his work.

When we have to plot the variables on x- axis and y- axis, we see that which variables are independent variables and which of them are dependent variables.

The independent variables that are not influenced by the other factors that are given are plotted on the x- axis and the dependent variable which changes due to the change in independent variable are plotted on the y- axis.

Therefore, a variable is a term used to express the unknown value or quantity.

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The combined length of all the buttons longer than 1 inch is 2 3/8 inches.

It should be noted that from the information, we want to calculate the combined length of all the buttons longer than 1 inch.

This will be:

= 1 1/8 + 1 1/4

= 1 1/8 + 1 2/8

= 2 3/8 inches

Therefore, the combined length of all the buttons longer than 1 inch is 2 4/8 inches.

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Answer: 84 mph   60 mph

Step-by-step explanation:

Let her average speed to home was x mph

Hence, the average speed to her parents was (x+24) mph

Thus:

Jessie spent for the trip to her parents' house: 385/x hours

Jessie spent for the trip to home: 385/(x+24) hours

[tex]\displaystyle\\\frac{385}{x} +\frac{385}{x+24} =11\\\\385(x+24)+385(x)=11(x)(x+24)\\\\385x+9240+385x=11x^2+264x\\\\770x+9240=11x^2+264x\\\\770x+9240-770x=11x^2+264x-770x\\\\9240=11x^2-506x\\\\9240-9240=11x^2-506x-9240\\\\0=11x^2-506x-9240\\\\Divide\ both\ parts\ of\ the \ equation\ by\ 11:\\\\0=x^2-46x-840[/tex]

[tex]\displaystyle.\\Thus,\\\\x^2-46x-840=0\\\\D=(-46)^2-4*1*(-840)\\\\D=2116+3360\\\\D=5476\\\\\sqrt{D} =\sqrt{5476} \\\\\sqrt{D}=74 \\\\x=\frac{466б74}{2*1} \\\\x=\frac{46-74}{2} \\\\=\frac{-28}{2} \\\\x=-14\notin(x > 0)\\\\x=\frac{46+74}{2}\\\\x=\frac{120}{2} \\\\x=60\ miles\ per\ hour[/tex]

[tex]60+24=84\ miles\ her\ hour[/tex]

The standard deviation of the sample number is 1.67.

According to the question we have been given a sample of 5 United states tourist.

We need to find the standard deviation of the sample. The formula for the standard deviation is given as :

                      [tex]\sigma[/tex] = √∑( xₙ - u)²/N

   where    σ = standard deviation

                 xₙ = each value of the sample

                 N = number of sample

                  u = mean

First the mean = (7+8+4+9+7)/5

                       =   7

∑( xₙ - u)² = (7 - 7)² + (8-7)² + (4-7)² + (9-7)²+ (7-7)²

                =  0² + 1² + (-3)² + 2² + 0²

                 = 1 + 9 + 4

                 = 14

Substituting the value sin the given formula we get

                σ = √(14/5)

                    = √2.8

                   = 1.67

Hence the standard deviation of the sample number is 1.67

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Considering the variance of Z and the relation between Y and Z, the variance of Y is given by:

Var(Y) = 36.

The variance of a variable, or a data-set, is given by the sum of the differences squared between each observation and the mean, divided by the cardinality of the data-set, which is the number of values in the data-set.

Hence:

These two bullet points above can be resumed by the equation given as follows:

Var(aX + B) = a²Var(X).

Hence:

Var(3Z + 2) = 9Var(Z).

Hence the variance of Y is given as follows:

Var(Y) = Var(3Z + 2) = 9Var(Z) = 9 x 4 = 36.

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Answer:

she should estimate that 42 is 6.50. D. she should find the squares of numbers between 6.4 and 6.5

The standard form of the given linear equation y = (-2/3)x + 5 is 2x + 3y = 15.

The standard form of a linear expression is expressed as;

Ax + By = C

Where A and B are the coefficient of x and y respectively and C is the constant term.

Given the equation in the question;

y = (-2/3)x + 5

Multiply both sides by 3

y = (-2/3)x + 5

3(y) = 3((-2/3)x + 5 )

Apply distributive property

3(y) = 3((-2/3)x + 5 )

3y = 3(-2/3)x + 3( 5 )

3y = -6/3x + 15

3y = -2x + 15

Now, move all terms containing variables to the left side of the equation

3y = -2x + 15
Add 2x to both sides

3y + 2x = -2x + 2x + 15

3y + 2x = 15

Reorder 3y and x

2x + 3y = 15

Therefore, the standard form of the given linear equation y = (-2/3)x + 5 is 2x + 3y = 15.

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Answer:

Areas under the curve

Step-by-step explanation:

The area under a curve on an interval [a, b] is the integral of the function computed in this interval :  [tex]A=\int _a^b|f\left(x\right)|dx[/tex]

(1) For [tex]f\left(x\right)=3\sqrt{x}[/tex] with [tex]a=1,\:b=4[/tex]

area [tex]=\int _1^4\left3\sqrt{x}\;dx[/tex] = [tex]3\cdot \int _1^4\sqrt{x}dx[/tex] =

[tex]\int \sqrt{x}[/tex] = [tex]\frac{2}{3}x^{\frac{3}{2}}[/tex]

[tex]3\cdot\frac{2}{3}x^{\frac{3}{2}}[/tex] = [tex]2x^{\frac{3}{2}}[/tex]

At [tex]x = 4,[/tex] we get [tex]2\cdot4^{\frac{3}{2}}[/tex] = [tex]2\cdot8 = 16[/tex]

At [tex]x = 1,[/tex] we get [tex]2\cdot1^{\frac{3}{2}}[/tex] = [tex]2.1 = 2[/tex]

So area under the curve for [tex]f(x) = \:3\sqrt{x}[/tex] in the interval [tex][1, 4] = 14[/tex]

(2) [tex]f\left(x\right)=x-\frac{2}{3}\\[/tex]

[tex]\int \:x-\frac{2}{3}dx[/tex] = [tex]\int \:xdx-\int \frac{2}{3}dx[/tex]  [tex]=\frac{x^2}{2}-\frac{2}{3}x[/tex]

[tex]\left[\frac{x^2}{2}\right]^{27}_1 = \frac{27^2}{2} - \frac{1}{2} = \frac{729}{2}-\frac{1}{2} = \frac{728}{2} = 364[/tex]

[tex]\left[\frac{2}{3}x\right]^{27}_1 = \frac{2}{3}\cdot \:27 - \frac{2}{3}\cdot \:1 = 18-\frac{2}{3} = \frac{52}{3}[/tex]

[tex]\int _1^{27}\left|x-\frac{2}{3}\right|dx = 364-\frac{52}{3} = \frac{1040}{3}[/tex]  (Answer)