A bag contains 9 red, 6 green, 3 blue, and 2 yellow balls of the same size. A student chooses a colour and then draws a ball from the bag. If she draws a ball of her choice of colour she wins, if not the teacher wins. Who do you think will be the winner after 24 rounds, the student or the teacher

Answer: 30

Step-by-step explanation: So clearly we want 45 to be divided into x and 2x. Because the sum of the two parts is 45, so x + 2x = 45 which gives us the value of x = 15.

So the boy has 15 while the girl has 30

Answer:

option 3 : (2x - 7 )

Step-by-step explanation:

ax + bx = x(a+ b)

a(x+ y) + b(x+y) = (x+y)(a+b)

[tex](3x - 8 ) ( 2x + 5) - (x + 1)(2x + 5)\\\\(2x+5)[ (3x - 8) - (x+1) ][/tex]      [ (2x + 5) is common is both terms ]

[tex](2x+ 5)(3x -8 -x + 1)\\\\(2x+ 5)(2x - 7)[/tex]

Therefore , the binomial is ( 2x - 7)

Answer:

3

Step-by-step explanation:

the rate of change of the function, or the slope is 3 because to get to one point from the other point in the line, you would have to go up 3 and over 1 (3/1) or just 3.

Hope this helps

Answer:

430 km

Step-by-step explanation:

If they traveled 350 km by bus and biked 80 km more than they were bused, then,

Traveled by bus, Y = 350 km

Traveled by bike, X = 350 + 80 = 430 km

Hope this will help. Please mark me brainliest if it helps.

Answer:

If f(x) is parallel to the line y=3/4x+b ,it would have to have the same slope.  

In this equation:

y=mx+b

m= is the slope of the line.

A line parallel to the line y=3/4x +2/5 must have the same slope; that it is to say, the slope would be m=3/4

Examples:

y=3/4 x+ 50000

y=3/4 x -51/36

y=3/4 x -√2

These functions could be parallels to the line y=3/4 x +2/5

Answer:

see below.

Step-by-step explanation:

The key to this question is the factor 3/4. So anything that is going to make the coefficient in front of x = to 3/4 is a possible answer.

y = 3/4x + b  where b is anything but 2/5 is one answer. Disguised but still likely is

4y = 3x + b        Where you could divide everything by 4

y = 3/4x + b/4

Even something like

-4y = - 3x + b  is possible because when you divide by -4, you get

y = -3x/-4 + b/-4

y = 3x/4 - b/4      

Answer:

1

------

3(x-2)

Step-by-step explanation:

x+3         4x

------ * --------------

12x       x^2 +x -6

Factor

x+3         4x

------ * --------------

3*4x      (x+3)(x-2)

Cancel like terms

1         1

------ * --------------

3      (1)(x-2)

1

------

3(x-2)

Answer:

4 is the answer...........

_4 is the best answer of this question

Answer:

Length = 8 feet

Step-by-step explanation:

Perimeter = 2 x ( length + width )

20 = 2 x (length + 2)

10 = Length + 2

10 - 2 = Length

Therefore, Length = 8 feet

Answer:

x=-5/4

Step-by-step explanation:

Let the number be  x and y

     x.y=2/5    (The product of two rational numbers is 2/5)

if  one of the number is  -8/25

x.(-8/25)=2/5

(Here Substituted the value of one of the number yoy may substitute the value -8/25 in place of x

x=(2/5) *(-25/8)    

x=-5/4  

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Product of two rational numbers = [tex]\frac{2}{5} [/tex]

One of the number = [tex]\frac{-8}{25} [/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The other number.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

The other number is [tex]\frac{ - 5}{4} [/tex].

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

Let the other number be [tex]x[/tex].

As per the question, we have

[tex]Product \: \: of \: \: the \: \: two \: \: rational \: \: numbers = \frac{2}{5} \\[/tex]

[tex]➺ \: \frac{ - 8}{25} \times x = \frac{2}{5}\\ [/tex]

[tex]➺ \: x = \frac{2}{5} \times \frac{-25}{ 8}\\ [/tex]

[tex]➺ \: x = \frac{-50}{ 40} \\[/tex]

[tex]➺ \: x = \frac{ - 5}{4}\\ [/tex]

[tex]\sf\purple{Therefore,\:the\:other\:number\:is\: \frac{ - 5}{4} .}[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex]➺ \: \frac{ - 8}{25} \times \frac{ - 5}{4} = \frac{2}{5} \\[/tex]

[tex]➺ \: \frac{40}{100} = \frac{2}{5}\\ [/tex]

[tex]➺ \: \frac{2}{5} = \frac{2}{5}\\ [/tex]

➺ L. H. S. = R. H. S.

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}[/tex]

Answer:

100

Step-by-step explanation:

Answer:

182.8

Step-by-step explanation:

Answer:

ok so if they are congreant that mean the

x=38

Answer:

38

Step-by-step explanation:

Because both x and the 38° can create a linear pair with the same angle, they must be equal. Linear pairs are equal to 180°

Name the bottom angle C.

X + C = 180   (linear pair)

38 + C = 180 (linear pair)

X + C = 38 + C Subtract C from both sides

X = 38

Answer:

The answer is D

Step-by-step explanation:

-x is n

Y=0

Answer:

D

Step-by-step explanation:

Basically....... graph shown in picture

Answer:

2x-6

Step-by-step explanation:

( -8ײ +24×) ÷ (-4×) =

2x-6

Answer:21.99

Step-by-step explanation: Given diameter of a circle is(d)=7cm.

Now, we know that circumference of circle is =πd, where d is diameter of circle.

So, here circumference is = π×7cm

= 22/7 x 7 cm

Circumference = 22cm

[tex]\sf \bf {\boxed {\mathbb {GIVEN:}}}[/tex]

Diameter of the circle "d" = 7 cm

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND:}}}[/tex]

The circumference of the circle.

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\sf\orange{The\:circumference \:of\:the\:circle\:is\: 22\:cm.}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}[/tex]

We know that,

[tex]\sf\purple{Circumference\:of\:a\:circle \:=\:πd }[/tex]

[tex] = \frac{22}{7} \times 7 \: cm[/tex]

[tex] = 22 \: cm[/tex]

Therefore, the circumference of the circle is 22 cm.

[tex]\large\mathfrak{{\pmb{\underline{\pink{Mystique35 }}{\pink{❦}}}}}[/tex]

Answer:

∠ 6 = 46°

Step-by-step explanation:

∠ 3 and ∠ 6 are alternate angles and are congruent , then

∠ 6 = ∠ 3 = 46°

Answer:

Cuatro es la respuesta también conocida como d

Answer:

Step-by-step explanation:

Answer:

Independent variable - type of cola drink

dependent variable - taste rating of cola drink

extraneous variable - type of cola drink

Step-by-step explanation:

The independent variable is the variable that the person carrying out an experiment changes or manipulates. the independent variable usually have a direct effect on the dependent variable

The dependent variable is the variable that is being measured in an experiment. It is usually affected by the independent variable.

The extraneous variable is the variable  that is not been researched in the experiment but it has the potential to influence the results of the experiment.

The type of cola drink given to participants can be manipulated to derive different ratings. the ratings that participants would give the cola drink is determined by the type of cola drink served. Here, the type of drink served is the independent variable while the ratings given is the dependent variable.

the extraneous variable is the type of drink cups used. this is not relevant to the experiment but can affect the results of the experiments. for example, imagine a red cup is used for the experiment and a participant hates red cups. it is more likely that the participant would give a low rating for the cola drink even if the drink tastes good

Answer:

A^2 +2AB+B^2

Step-by-step explanation:

thats an open bracket of the question .Hope its needful

Step-by-step explanation:

1/2 -1/4

2*4-1*1/4

=1/4.

1/4is answer

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equation actually looks like this

[tex]V=P(1-r)^t[/tex] and filling in the info given:

[tex]V=25,000(1-.2)^{4.5[/tex] which simplifies to

[tex]V=25,000(.8)^{4.5[/tex]

Orders of operation tells us that we need to take care of the exponential stuff first, so

V = 25,000(.3663573) and

V = $9158.93 which rounds to what is shown as the second choice down: $9,159.

Answer:

B

Step-by-step explanation:

$9159  

Answer:

Step-by-step explanation:

This is a positive parabola so it opens upwards. The equation for the directrix of this parabola is y = k - p. k is the second number in the vertex of the parabola which is (0, 0), but we need to solve for p.

The form that the parabola is currently in is

[tex]y=a(x-h)^2+k[/tex] so that means that [tex]a=\frac{1}{8}[/tex]. We can use that to solve for p in the formula

[tex]p=\frac{1}{4a}[/tex] so

[tex]p=\frac{1}{4(\frac{1}{8}) }[/tex] which simplifies to

[tex]p=\frac{1}{\frac{1}{2} }[/tex] which gives us that

p = 2. Now to find the directrix:

y = k - p becomes

y = 0 - 2 so

y = -2, choice A.

Answer:

A.[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]

Step-by-step explanation:

We are given that

[tex]\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})[/tex]

We have to find the quotient.

[tex]\frac{6}{\sqrt[3]{9}}-3(\frac{\sqrt[3]{6}}{\sqrt[3]{9}})[/tex]

[tex]\frac{2\times 3}{\sqrt[3]{3^2}}-3(\frac{\sqrt[3]{3\times 2}}{\sqrt[3]{3^2}})[/tex]

[tex]2\times\frac{3}{3^{\frac{2}{3}}}-3(\frac{2^{\frac{1}{3}}\times 3^{\frac{1}{3}}}{3^{\frac{2}{3}}})[/tex]

Using the property

[tex](ab)^n=a^n\cdot b^n[/tex]

[tex]2\times 3^{1-\frac{2}{3}}-3(2^{\frac{1}{3}}\times 3^{\frac{1}{3}-\frac{2}{3}})[/tex]

Using the property

[tex]\frac{a^x}{a^y}=a^{x-y}[/tex]

[tex]2(3^{\frac{1}{3}})-3(2^{\frac{1}{3}}\times 3^{-\frac{1}{3}})[/tex]

[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{1-\frac{1}{3}}[/tex]

[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times 3^{\frac{2}{3}}[/tex]

[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{3^2}[/tex]

[tex]2(3^{\frac{1}{3}})-2^{\frac{1}{3}}\times \sqrt[3]{9}[/tex]

[tex]2(3^{\frac{1}{3}})-\sqrt[3]{2\times 9}[/tex]

[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]

Hence, the quotient of [tex]\frac{6-3(\sqrt[3]{6}}{\sqrt[3]{9}})[/tex] is given by

[tex]2(3^{\frac{1}{3}})-\sqrt[3]{18}[/tex]

Option A is correct.

Answer:

A

Step-by-step explanation:

Before we find the perimeter, first we must know length and width.

Let width = x

The question says that the length of a rectangle is twice its width. Therefore the length is 2×x or two times of width which equal to 2x.

The area of rectangle is given as 32 cm^2.

Do you remember the rectangle area formula? If not then it is:

[tex] \large \boxed{ \tt{A = width \times length}}[/tex]

Since A is area - substitute A = 32 in. As for width, we substitute in x and length in 2x.

[tex] \large{32 = x \times 2x}[/tex]

Since x multiplies by another x. It becomes x squared.

[tex] \large{32 = 2{x}^{2} }[/tex]

Next, we divide 2 by both sides since we want to solve for x.

[tex] \large{ \frac{32}{2} = {x}^{2} }[/tex]

Simplify 32/2 in simplest form.

[tex] \large{16 = {x}^{2} }[/tex]

Square both sides so we can get rid the x squared, leaving only x.

[tex] \large{ \sqrt{16} = \sqrt{ {x}^{2} } }[/tex]

Normally, when solving quadratic equation, you must write plus or minus. However, for this circumstance - we are solving a variable for length and width which cannot be negative. Therefore

[tex] \large{4 = x}[/tex]

After we solve for x. Substitute x = 4 in width = x and length = 2x.

[tex] \large{ \tt{width = x = 4}} \\ \large{ \tt{length = 2x = 2(4) = 8}}[/tex]

When we multiply these two numbers, we get 32 cm^2.

Next, we find the perimeter. The formula of perimeter for rectangle is:

[tex] \large \boxed{ \tt{P = (width + length) \times 2}}[/tex]

We know width and length which are 4 and 8 in order. Substitute in the formula.

[tex] \large{P = (4 + 8) \times 2} \\ \large{P = 12 \times 2} \\ \large \boxed{P = 24}[/tex]

Hence, the perimeter is 24.

Answer

after you list the factors, you have to read the question back .. the question the length of the rectangle is twice the width .. so 4 × 8 is the correct answer .. and you do as usual to calculate the perimeter ..

Answer:

The vertical axis is called the y-axis. The point at which the two axes intersect is called the origin. The origin is at 0 on the x-axis and 0 on the y-axis.

Step-by-step explanation:

I believe this is correct, if not let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

70

Step-by-step explanation:

We have 7 blue marbles, and 20 total marbles. As a result, if we randomly chose one marble from the bag, the probability would be (number of favorable outcomes)/(number of total outcomes) = 7/20.

This means that for each 20 trials, we would expect to pull out a blue marble 7 times, as the probability does not change over time (because we put the marbles back, there are the same amount of each marble). Over 200 trials, we can simply make it out of 200 instead of 20. We can thus multiply 7/20 by 10/10 (10/10 is equal to 1, keeping the proportions equal) to get 70/200, so we can expect 70 blue marbles out of 200.

Answer:

1/3 + 6/35

Step-by-step explanation:

We are given;

−2/7 × 1/5 + 1/3 - 4/5 × -2/7

Using the rule of bodmas, we will group them and solve with multiplication being the first operation.

1/3 - (4/5 × -2/7) + (−2/7 × 1/5)

Factorization of first and second bracket gives;

1/3 + 2/7(4/5) + 2/7(-1/5)

Factorizing again gives;

1/3 + 2/7(4/5 - 1/5)

>> 1/3 + 2/7(3/5)

>> 1/3 + 6/35

Answer: there are 2 terms

Step-by-step explanation: A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. ... Examples of single terms: 3x is a single term.

2 terms

A term is a single mathematical expression. It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted. Some terms contain variables with a number in front of them. The number in front of a term is called a coefficient.