the probability of picking a blue marble out of a bag of 50 marbles is 3/25. how many marbles in the bag are not blue?

In linear equation, Number of members in liberal party = 32 * 77 = 2464

What does the term "linear equation" mean?

A mathematical function where the variables only occur in the first degree, where the constants are multiplied, and where the only possible combinations are addition and subtraction.

45% Of liberals switch to the conservative party

total number of eligible votes in the country =7700

Number of members change to liberal to conservative  = 45% of 7700

                                                         = 45/100 * 7700

                                                          = 45 * 77 = 3465

32% of conservative  switch to the liberals party  = 32 % of 7700

                                                      = 32/100 * 7700

Number of members in liberal party = 32 * 77 = 2464

An equilibrium in campain contributions one for the each party among the set of contribution to the party.

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The complete question is -

in a certain county there are two political parties, liberal and conservative. it has been observed that between elections a fixed percentage, 45% of liberals switch to the conservative party and a fixed percentage, 32% of conservatives switch to the liberal party. the other voters remain in the same party. assume that there are altogether 7700 eligible voters in the county. Find the equilibrium Values for the system if any?

The most appropriate choice for matrix will be given by-

The position number of all the matrix entries are

[tex]a_{11} = 0\\a_{12} = -1\\a_{13} = 3\\a_{14} = 5\\a_{15} = -2\\a_{21} = 7\\a_{22} = -8\\a_{23} = 6\\a_{24} = -4\\a_{25} = -9\\a_{31} = 1\\a_{32} = 2\\a_{33} = -3\\a_{34} = -5\\a_{35} = 8[/tex]

What is a matrix?

Any arrangement of numbers in the form of rows and columns are called matrix. The numbers inside a matrix is known as elements of the matrix.

The position number of a matrix entry is denoted by [tex]a_{mn}[/tex] where m denotes the row position and n denotes the column position.

We can do addition, subtraction, multiplication on matrix but two matrices cannot be divided.

Here,

The position number of a matrix entry is denoted by [tex]a_{mn}[/tex] where m denotes the row position and n denotes the column position.

The given matrix is

[tex]\left[\begin{array}{ccccc}0 & -1 & 3 & 5 & -2\\7&-8&6&-4&9\\1&2&-3&-5&8\end{array}\right][/tex]

The position numbers of all the matrix entries are given below

[tex]a_{11} = 0\\a_{12} = -1\\a_{13} = 3\\a_{14} = 5\\a_{15} = -2\\a_{21} = 7\\a_{22} = -8\\a_{23} = 6\\a_{24} = -4\\a_{25} = -9\\a_{31} = 1\\a_{32} = 2\\a_{33} = -3\\a_{34} = -5\\a_{35} = 8[/tex]

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Answer:

Step-by-step explanation:

Adriel’s age if the sum of the square of adriel’s age and 4 times jevonte’s age is 85 is 7 years

Let the ages be x and x + 2 since they're consecutive odd integers.

We want to find Adriel’s age if the sum of the square of adriel’s age and 4 times jevonte’s age is 85. This will be illustrated as:

x² + 4(x + 2) = 85

x² + 4x + 8 = 85

Collect like terms

x² + 4x + 8 - 85

x² + 4x - 77 = 0

x² + 11x - 7x - 77 = 0

x(x + 12) - 7(x + 11) = 0

x - 7 = 0

x = 0 + 7

Therefore, the age is 7 years.

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The value of the expression y³ = 1 is y = 1.

Expression:

An expression also known as algebraic expression consisting of variables, numbers and an arithmetic operation between them.

Given,

Here we have the expression y³ = 1.

Now, we need to find the value of y.

While we looking into the expression, when we have to find the value of y then we have to move the cube vale to the other side.

When we move the cube to the other side then it will be the cube root of the number.

While we simplify the cube root of the number then we get the result.

Therefore,

y³ = 1

Move the cube to the other side,

y = ∛1

We know that,

∛1 = 1

So, the value of y = 1.

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By evaluating the linear equation in t = 5 seconds, we will see that the distance traveled is 271.93 feet.

Here we know that the line that defines the distance traveled by the ball (y) as a function of time (t) is:

y = 3.98 + 53.59*t

Now we want to predict the distance traveled y the ball if it travels for 5 seconds, so we just need to evaluate the above linear equation in t = 5.

So we will get:

y = 3.98 + 53.59*5  = 271.93

So we conclude that the distance traveled in that time is 271.93 feet.

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Answer: 271.93 feet

Step-by-step explanation:

I took the test

The domain of the given function is (-∞,5) and the range is (5,∞).

All the independent variable, x, for which y is defined, is the domain and range of a function. Every possible value of the dependent variable y comes within a function's range.

From the graph, we can see that x varies from -∞ to -5

So, the domain is the interval of (-∞,-5)

The function of f(x) varies from (5,∞)

So, the range is (5,∞).

Therefore, the domain of the given function is (-∞,-5) and the range is (5,∞).

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Answer:

ABC =146.5

ACB=67

ACD=127

CAB=146.5

Step-by-step explanation:

ABD=127

ACD=127

BCD=60 ( Being equilateral triangle)

60+x=127

x=67

ACB=67

CAB=CBA=y (let)

y+y+ACB = 360 ( Sum of int angles of triangle)

2y+67=360

2y=293

y=146.5

CAB=146.5

ABC=146.5

We will see that the slope of function B is 2, and the slope of function A is 1. This means that the correct equation is:

Slope of function B = 2*Slope of Function A

First, a general linear equation is:

y = a*x + b

Where a is the slope and b the y-intercept.

Here the function A is:

f(x) = x - 9

Then the slope is equal to 1.

We know that function B is a line that passes through (-1, -3) and (2, 3)

Then the slope is:

s = (3 + 3)/(2 + 1) = 6/3 = 2

So the slope of function B is 2, and the slope of function A is 1. Then the equation is:

Slope of function B = 2*Slope of Function A

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[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{10}}} \implies \cfrac{ 5 }{ -2 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{5}{2}}(x-\stackrel{x_1}{10}) \\\\\\ y-3=-\cfrac{5}{2}x+25\implies {\Large \begin{array}{llll} y=-\cfrac{5}{2}x+28 \end{array}}[/tex]

Answer:

2533 km/hr

Step-by-step explanation:

time = 8 hours 30 minutes

        [tex]\sf = 8\dfrac{1}{2} \ hours\\\\ =\dfrac{17}{2} \ hours[/tex]

Distance = 298 km

[tex]\sf \boxed{\bf Average \ speed = Distance * time}[/tex]

                             [tex]\sf = 298 * \dfrac{17}{2}\\\\ = 149 * 17\\\\= 2533 \ km / hr[/tex]

If you plot the point,  - 8.85 on the number line you would put it left of -8.8

- 8.85 is left of -8.8

This is further explained below.

Generally, A image of a graded straight line is what is known as a number line, and its purpose is to provide a visual representation of the actual numbers. It is generally accepted that a real number may be assigned to each point on a number line, and that each point can be assigned to a real number.

In conclusion, The number line follows natural arithmetic rules, Hence

Since

-3,-2,-1,0,1,2,3 is the sequence of the  natural arithmetic rules hence,

- 8.85 is left of -8.8

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Answer:

9+9b

Step-by-step explanation:

Answer:

9 +9b

Step-by-step explanation:

     Like terms are terms that have same variable with same power.

2b and 7b are like terms.

7 and 2 are like terms (constants).

7 + 2b + 7b + 2 = 7 + 2 + 2b +7b

                           = 9 + 9b

Okay, here we have this:

Considering the provided information, we are going to calculate the speed at which he runs, so we obtain the following:

So we have the following equation:

Distance Traveled Walking + Distance Traveled Running = Total Distance

Distance Traveled Walking + Distance Traveled Running = 20 miles

And taking into account that speed is equal to distance over time, if we take speed to which runs as x we have:

((x/2) mi/h * 2h) + (x mi/h* 1.5h) = 20 miles

x mi+ 1.5x mi= 20 mi

2.5x mi=20mi

x = 20mi/2.5mi

x=8

Finally we obtain that he runs at 8 miles per hour.

They have not a proportional relationship.

The equation that represents a proportional relationship, or a line, is y = k x , where is the constant of proportionality. Use k = y x from either a table or a graph to find k and create the equation. Proportional relationships can be represented by tables, graphs and equations.

From table 1.

temperature ( ∘ C)                    temperature ( ∘ F)

20                                                           68

4                                                              39.2

175                                                           347

converted by using equation   F=[tex]\frac{9}{5}[/tex]C+32

From table 2.

length (in)                                    length (cm)

10                                                             25.4

8                                                               20.32

[tex]3\frac{1}{2}[/tex]                                                              8.89

Converted by using equation c = 2.54n where c represent length (in cm) and n represent length in inches.

Now,

we will check the proportionality by [tex]\frac{c}{F}[/tex]  if all the values of this ratio is same for the tables then they are showing proportionality .

From the table they are not showing proportionality.

Hence, They have not a proportional relationship
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Total 20 students should go to the trip to not to lose money.

Cost of bus = 100 dollars

For students the charge is 7 dollars per student.

Amount professor donated to defray the cost is 40 dollars.

School is charging 10 dollars per student for the trip.

Therefore, reduced cost = 100 - 40 = 60 dollars

Profit earned from each student is 10 - 7 = 3  dollars.

Hence, minimum students should go to the trip will be 60 ÷ 3 = 20.

Since, 20 × 3 = 60, the cost is covered and no money is lost.

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The angle pairs can be classified as follows

∠1 and ∠5       →  Alternate exterior angles

∠2 and ∠10    →  Corresponding angles

∠10 and ∠14   →  Alternate interior angles  

∠6 and ∠7      →  Consecutive interior angles

∠5 and ∠12    →  Consecutive interior angles

∠3 and ∠13    →  Alternate exterior angles

From the question, we are to classify each of the angle pairs as corresponding, alternate interior, alternate exterior, or consecutive interior angles.

Considering the given diagram, and applying the appropriate angle theorems, we can write that

∠1 and ∠5 are alternate exterior angles

∠2 and ∠10 are corresponding angles

∠10 and ∠14 are alternate interior angles  

∠6 and ∠7 are consecutive interior angles

∠5 and ∠12 are consecutive interior angles

∠3 and ∠13 are alternate exterior angles

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Answer:

The answer is 3, but here’s how I got that answer.

Step-by-step explanation:

As we know the trifle recipe requires 1 ½ cups of sugar, and the chocolate cake requires double the amount of sugar.

You have two options.

Multiply 1½ by 2

1½ x 2 = 3

———————————

Or add 1½ + 1½

1½ + 1½ = 3

———————————-

Wasn’t sure what you were asking for with this this question, but hope it helped.

Answer: 3

Step-by-step explanation:

Since the trifle cake uses 1 ½ cups of sugar and the chocolate twice as much sugar as the trifle cake you should multiply 1 ½ x 2 which would equal 3. So, 3 cups of sugar should go into the cake. (This is my first answer to a question so I'm sorry if I'm confusing)

Answer:

8

Step-by-step explanation:

Let the number be “X"

Solution:

4 + (X/2) = 8

(X/2) = 8-4

(X/2) = 4

X = 4×2

X = 8

THEREFORE THE ANSWER IS “8”

Answer:

This is a simultaneous equation.

Step-by-step explanation:

let the first number be x and second be y

Lets make an equation first:

3x-y = 8 .....(1)

x+y = 12........(2)

Solve by elimination.

Dass

3x+x= 8+12

4x=20

x=5

find y

x+y=12

5+y=12

y=12-5

y= 7

Therefore the two numbers are 5 and 7

Answer:

Step 3, she forgot to square half of the middle term before adding it to both

sides.

Step-by-step explanation:

yw

The product of factor 83.5 with 0.01 will be 0.835

What are mathematics operations?

• A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Here, the given statement is :

The product of a factor and 0.1 is 8.35

Let the factor be a then :

a x 0.1 = 8.35

a = 8.35/0.1

a = 83.5

The factor is 83.5

Now, the product of this with 0.01 will be :

83.5 x 0.01 = 0.835

Therefore, The product of factor 83.5 with 0.01 will be 0.835

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Answer:

firstly we need multiply out the bracket.

7×9=63

7×f= 7f.

then you subtract 63-7f= 56

your answer is 56

The lowest score that Keiko is trying to score to get in the "ryo" range is , the inequality to represent this story is (x+85+57+78)/4 > 70  .

In the question ,

it is given that

Keiko need to score average above 70 to get in the ryo range

let x be the marks that Keiko scores in the next test ,

so, the average = (x+85+57+78)/4

According to the question

Average > 70

Substituting the value of average , the inequality becomes

(x+85+57+78)/4 > 70

x+85+57+78 > 280

x+220 > 280

x > 280-220

x > 60

the lowest score that Keiko should get is greater than 60 .

When the inequality x > 60 , will be graphed then the limit will be an open circle as equal to sign is not included in the inequality .

as when the numbers increases , it move towards right side

So, When the inequality is graphed, the line will have an arrow pointing towards the right .

Therefore , the lowest score that Keiko is trying to score to get in the "ryo" range is , the inequality to represent this story is  greater than 60 ,

the inequality to represent this story is (x+85+57+78)/4 > 70 ,

the limit of graph will be open circle and arrow will be pointing towards right .

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The number of tapes cut is 3 pieces.

He has a roll of tape that is 4 1/2 yard long.

He cuts the tape into pieces that are each 3/2 yard long.

Therefore, the number of roll of tape cut can be calculated as follows:

Initial length of the tape in yard = 4 1 / 2 = 9 / 2 yards

Length of the tape cut in yard = 3  /2 yards

Hence,

number of tape cut = 9 / 2 ÷ 3 / 2

number of tape cut =  9 / 2 × 2 / 3

number of tape cut = 9 / 3

number of tape cut =  3 pieces

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By probability , An average rate of one mutation per 12,400 A.A geneticist is examining a strand of DNA .

Describe probability using an example?

Suppose that, in a strand f DNA ,mutations occur randomly and independently of other mutations .

at an average rate of one mutation per 12,400 A.A geneticist is examining a strand of DNA .

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The x-intercept of the equation is: (8, 0)

The y-intercept is of the equation is: (0, -2)

The x-intercept is the point on the x-axis where the line cuts across the x-axis, while the y-intercept is the point on the y-axis that the graph intercepts.

The value of the x-intercept is the value of x when the value of y is equal to zero, while the y-intercept of a graph is the value of y when the value of x is zero.

Given the equation of the linear graph as, x - 4y = 8, to find the x-intercept, substitute y = 0 into the equation:

x - 4(0) = 8

Solve for x:

x - 0 = 8

x = 8

The x-intercept is: 8.

(8, 0)

To find the y-intercept, substitute x = 0 into the equation, x - 4y = 8 and solve for the value of y:

0 - 4y = 8

-4y = 8

-4y/-4 = 8/-4

y = -2

The y-intercept is: -2.

(0, -2)

The graph for x - 4y = 8 is shown in the attachment.

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Answer:

80

Step-by-step explanation:

Use trial and error until you find a common multiple.

Answer: C.

Step-by-step explanation:

X would represent the number of golf balls he brought back and .10 is the amount of money he makes for each of them.

Answer:

0.10x

Step-by-step explanation:

x stands for the amount of golf balls he brings back to the shop and 0.10 stands for the 10 cents he gets paid for each ball.

The absolute value inequality represents the difference between the rope lengths cut and the specifications are | x - 10 | ≤ 0.5.

Modulus value always outputs a positive value irrespective of the input value sign.

Julian needed to cut ropes for her school project and their length should be 10 inches long with a difference of 0.5 inches.

∴ The maximum allowable length of the rope should be (10 + 0.5) = 10.5 inches and the minimum allowable length of the rope should be

(10 -0.5) = 9.5 inches.

The absolute value of inequality that represents this condition is,

| x - 10 | ≤ 0.5.

x - 10 ≤ 0.5.

x ≤ 10.5, And

- ( x - 10) ≤ 0.5.

-x + 10 ≤ 0.5.

- x ≤ - 9.5.    ( think of moving the terms on either side to make x positive).

x ≥ 9.5.

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