If a cooler contains six cola, two grape, two orange, and four lemon-lime sodas, what is the probability of selecting a cola, giving it to your friend, then selecting another cola for yourself?

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

Step-by-step explanation:

Let the number be x

According to the question

2(x+36)=90

2x+72=90

2x=90-72

2x=18

x=18/2

x=9

Answer:

The type of association between x and y are inversely proportional  

Step-by-step explanation:

Solution:

Here the x value increase, the y value decrease which implies that x is inversely proportional to y

I hope this helps.

Answer:

x = 11

Step-by-step explanation:

    If the lines were parallel, then the transversal would make 2x + 1 and 23° alternate interior angles. Alternate interior angles equal one another, so set up the following equation.

[tex]2x+1=23~(Given)\\\\2x+1-1=23-1~(Subract~1~on~both~sides)\\\\2x=22~(Simplify)\\\\\frac{2x}{2}=\frac{22}{2}~(Divide~2~on~both~sides)\\\\x=11~(Simplify)[/tex]

lol mine looks different

Answer:

rise is 4 and run is 1 so 4/1 or 4

the answer is b

Hope This Helps!!!

This is an interesting problem.

But first, let us define what are the three possible cases :

A system of linear equations : a system of equation is when you have two equations with the same unknown variables, that you need to solve both together. Example : "x+y = - 7 AND x + y = - 4" are two equations that form a system of equation.

Plus they are linear, a linear equation is simply an equation of the form : y = ax + b where a and b are real numbers.

Here for example x + y = - 7 is a linear equation. Because y = 1 × x - 7

where a = 1 and b = - 7.

Consistent Dependent : A system of equation is consistent Dependant when it has an infinite number of solutions.

Consistent Independent : A system of equation is consistent Dependant when it has exactly one solution.

Inconsistent : A system of equation is Inconsistent if it haas no solutions.

Now, with those definitions above, we can work on our problem :

1. x + y = - 7 and x + y = - 4

Look at the picture attached the lines are parallel to each other so here the answer is Inconsistent

2. Same line : consistent dependent

3. Parallel Lines : Inconsistent

4. Lines cross at exactly one point :Consistent Independent

5. Lines cross at exactly one point : Consistent Independent.

You can see the graph of each systems in the pictures attached below.

Good luck, you will succeed :)

Answer:

2

Step-by-step explanation:

because resetting the graph means it has to be a reflection

The range for the relation 12x + 6y= 247 is,

Range = {49.17, 41.17, 31.17}

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ 12x + 6y = 247

Now,

We have;

The domain is, {-4,0,5)

Hence, The range of the function is find as;

Put x = - 4;

⇒ 12x + 6y = 247

⇒ 12 × - 4 + 6y = 247

⇒ - 48 + 6y = 247

⇒ 6y = 247 + 48

⇒ 6y = 295

⇒ y = 49.17

Put x = 0;

⇒ 12x + 6y = 247

⇒ 0 + 6y = 247

⇒ 6y = 247

⇒ y = 41.17

Put x = 5;

⇒ 12x + 6y = 247

⇒ 60 + 6y = 247

⇒ 6y = 247 - 60

⇒ 6y = 187

⇒ y = 31.17

Thus, The range for the relation 12x + 6y= 247 is,

Range = {49.17, 41.17, 31.17}

Learn more about the function visit:

https://brainly.com/question/11624077

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•ω• Hewo fren!

☆☆●◉✿ Answer:✿◉●☆☆

7/27 + 1/6 = 23/54

☆☆●◉✿Step-by-step explanation:✿◉●☆☆

When we add fractions we must make sure they both have the same denominator first. 7/27 and 1/6 don’t have the same denominator so THE FIRST STEP HERE is to convert both fractions to have the same denominator so we can add. IN ORDER TO DO THAT, we must find the LCM (Least Common Multiple). The LCM of 27 and 6 (,the denominators,) is 54. 6 • 9 = 54 and 27 • 2 = 54. So we have to multiply 1/6 • 9 and 7/27 • 2.

7/27 • 2 = 14/54

1/6 • 9 = 9/54.

14+9=23 so the answer is 23/54 because it cannot be simplified.

HOPE I HELPED!  ∧∧

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Answer: It is irrational and equal to 3 times the square root of 2.

Answer:

It is irrational and equal to 3 times the square root of 2.

Step-by-step explanation:

just like the other guy said

Answer:

B. -111

Step-by-step explanation:

y = -4x^2 - 3x + 4

x = 5

y = -4(5)^2 - 3(5) + 4

y = -4(25) - 15 + 4

y = -100 - 15 + 4

y = -111

...............................................................................................................................................

Please, write -4x^2 (not 04x2).

Then the quadratic model is y = -4x^2 - 3x + 4.

Now substitute 5 for x:  y(5) = -4 (5)^2 - 3(5) + 4

Simplifying,                     y(5) = -4(25) - 15 + 4 = -100 - 11 = -111.

Answer:

Given 3:5 = 3+5=10,

400*3/8=150,

400*5/8=250.

Which is the initial value of the function represented by this graph?

1

5

6

7

answer : 1

Answer:

Three hundred thousand

Step-by-step explanation:

Hope this helps

Given info:- Evaluate: [(5/6 + 2/3) - (3/4 + 1/12)] and find the Evaluated form = ?

Solution:-

Given fractional expression: [(5/6 + 2/3) - (3/4 + 1/12)]

Take the LCM of denominator 3 and 6 is 6.

Again take the LCM of denominator 4 and 12 is 12.

so,

⟼ [(5+4)/6 - (9+1)/12]

⟼ [9/6 - 10/12]

Now, take the LCM of the denominator 9 and 12 is 36.

⟼ [(54-30)/36]

Now, reduce the fraction by extracting and cancaling out with 2.

⟼ [24÷2/36÷2]

⟼ 12/18

⟼ 6÷3/9÷3

⟼ 2/3

Answer↓

Therefore, Evaluated form is 2/3.

Read more:

Similar questions

Question 1 Evaluate (5 + 2)2 − 40 + 3 6 11 12 34 -------------------------------------------------------------------------------- Question 2 Evaluate 7 + 52 • 4...

https://brainly.com/question/2283953?referrer

Answer:

1/4

Step-by-step explanation:

Solution: as shown in the figure,

2/8 = 1/4

Answer:

3

Step-by-step explanation:

i thing

Answer:

Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

Step-by-step explanation:

Answer:

90π

Step-by-step explanation:

282.74 / π

282.74 / 3.14159 = 90

282.74 = 90π

Answer:

Step-by-step explanation:

Correct choice is D

Answer:

D. 25x⁴ + 30x³ + 29x² + 12x + 4

Step-by-step explanation:

(5x² + 3x + 2)² =

(5x² + 3x + 2)(5x² + 3x + 2) =

5x²(5x² + 3x + 2) + 3x(5x² + 3x + 2) + 2(5x² + 3x + 2) =

25x⁴ + 15x³ + 10x² + 15x³ + 9x² + 6x + 10x² + 6x + 4 =

25x⁴ + 30x³ + 29x² + 12x + 4

Answer:

Slope intercept form is y = x - 6 (you don't write 1 in front of x in this case btw)

Slope = 1

Y-intercept = -6

Step-by-step explanation:

Slope intercept form looks like this y=mx+b, where m is slope and b is y-intercept.

To find slope, we will do y2 - y1 over x2 - x1.

This is how coordinates are written btw (x,y)

So we will do:

-2 - (-9) = -2 + 9 = 7

4 - (-3) = 4 + 3 = 7

Since 7/7 is the same as 7÷7, the slope is going to be 1. (It's also a positive slope btw)

Now, in order to find what the y-intercept is, you should use the point slope formula⤵⤵⤵:

[tex]y - y _{1} = m(x - x _{1})[/tex]

We'll use point (4,-2) for this:

y + 2 = 1 (x - 4)

Now we solve:

Distribute the 1 among everything inside the parenthesis to get y + 2 = x - 4, then subtract 2 on both sides to get y = x - 6.

Hope this helps :)

Answer:

17.8 miles

Step-by-step explanation:

His old house was 21.45 miles from the office. He moves to a new apartment which is just 3.65 miles from the office.

Since it asks for the distance he reduced to the office, we would do

21.45 - 3.65 = 17.8 miles

Answer:

the graph is incorrect first u correct this

Answer: x = -1.4

Step-by-step explanation:

Answer: x = -7/5

Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1)                       3x+−8x+−18 = 10x+−2+5                                                                                       −5x+−18 = 10x+3                                                                                                 −5x−18-10x = 10x+3-10x                                                                                             −15x−18+18 = 3+18                                                                                                   −15x/-15=21/-15                                                                                                         x = -7/5

From home to A has 5 routes. Ex: Route A,B,C,D,E.

A to B has 5 routes. Ex: Route F,G,H,I,J

The shorter way is 5x5 = 25

The longer way is A.F , A.G, A.H, A.I, A.J. + B.F, B.G, B.H, B.I, B.J and continue on...

Answer:

a

Step-by-step explanation:

Answer:

f=25

Step-by-step explanation:

24+1=25

25-1=24

Answer:

Expression: 6x - 26. Equation: 3

Step-by-step explanation:

EXPRESSION

4x - 16 + 2x - 10

6x - 26

EQUATION 1

4x - 16 = 2x - 10 (Seems reasonable. Sorry if this isn't it)

4x = 2x + 6

2x = 6

x = 3

EQUATION 2

4x - 16 + 2x = - 10

6x - 16=  -10

6x = 6

x = 1

Answer:

B) [tex]-\frac{a}{-b}[/tex]

Step-by-step explanation:

The value [tex]-\frac{-a}{b}[/tex] is the same as [tex]\frac{a}{b}[/tex] since the negatives cancel out to make a positive.

Option A is incorrect since the overall value of the term would be negative. Option B however is correct since there will not be a negative value in the denominator of a fraction and thus it cancels out with the negative in front of the fraction to produce the value of [tex]\frac{a}{b}[/tex] which is the same as the expression given in the question, thus it is option B.

Answer:

SSS

Step-by-step explanation:

The triangles are similar according to SSS rule (side lengths)

You can check it by writing the following equation:

6/9 = 16/24 simplify both sides

2/3 = 2/3

Answer:

4√6

Step-by-step explanation:

√6 is a common factor on either side of the plus sign.

Therefore you can use the distributive property to get it out as a common factor. If you do not know what the distributive property is, then you can just say that √6 is a common factor.

√6(1 + 3)            Combine the like terms in the brackets.

√6(4)   or

4√6

Answer:

Exact Form: 4√6

Decimal Form: 9.79795897...

Step-by-step explanation:

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