Fon baked a cake and ate 1/8 of it she shared the remaining cake equally to her 4 friends whag Frection of the whole cake did each of her friends received?

Answer:

3x+2+x+4=4x+6

Step-by-step explanation:

add all the number with x and also add all the numbers without x and u will get ur answer

so the ans is 4x+6

Answer:

it's an AP series and it's nth term is

a+(n-1)d

where a = ist term

n = number of term

d = difference of 2nd and 1st term

Answer:

associative property

Step-by-step explanation:

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like

Answer:

Cost of one pound of walnuts = x = $1.5

Cost of one pound of Chocolate chip = y =$3.75

Step-by-step explanation:

Let:

Cost of one pound of walnuts = x

Cost of one pound of Chocolate chip = y

Now making equations from the statements.

For 3 pounds of walnuts and 2 pounds chocolate Chips,the cost is $12: \(3x+2y=12\)

For 5 pounds of walnuts and 6 pounds of chocolate chips the total cost is $30: \(5x+6y=30\)

We need to solve these equations to find values of x and y

Let:

\(3x+2y=12--eq(1)\\5x+6y=30--eq(2)\)

Multiply eq(1) by 3 and subtract both equations

\(9x+6y=36\\5x+6y=30\\- \ \ \ - \ \ \ \ -\\-------\\4x=6\\x=\frac{6}{4}\\x=1.5\)

Now, finding value of y bu putting value of x, x= 1.5 in eq(1)

\(3x+2y=12\\3(1.5)+2y=12\\4.5+2y=12\\2y=12-4.5\\2y=7.5\\y=\frac{7.5}{2}\\y=3.75\)

So, we get value of y: y=3.75

Cost of one pound of walnuts = x = $1.5

Cost of one pound of Chocolate chip = y =$3.75

Answer:

f(x) has a greater slope.

Step-by-step explanation:

The slope of the image line

= difference in y coordinates / difference in x coordinates

= (7-3) / (3-2)

= 4.

The  slope of f(x) = 6x + 1 is  6.

The function f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4.

What is mean by straight line?

A straight line is a combination of endless points joined on both sides of the point.

Given that;

The function, f(x) = 6x + 1

And the function g(x) is a linear function which passes through the points (2 , 3) and (3, 7).

Since, The slope 'm' of any straight line is given by:

m = (y₂ - y₁) / (x₂ - x₁)

And, m = d/dx (f(x))

So, The slope of function f (x) will be;

f(x) = 6x + 1

M = d/dx (f(x))

M = d/dx (6x + 1)

M = 6

And, Slope of linear function which passes through the points (2 , 3) and (3, 7) is;

m = (7 - 3) / (3 - 2)

m = 4/1

m = 4

Thus, The function f(x) has a greater slope because the slope of the f(x) is 6, and g(x) is 4.

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Given the trajectory of a ball thrown into the air:

To know the time the ball lasts in the air until it hits the ground:

Factoring:

Time can't be negative, so the only solution for the equation is t = 4.

ANSWER

4 seconds

x(x+1)=506

x^2+x-506=0

(x+23)(x-22)=0

x=22

Peter is 23 years old.

Answer:x(x+1)=506

x^2+x-506=0

(x+23)(x-22)=0

x=22

Peter is 23 years old

Step-by-step explanation:

The missing ordered pairs that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

The equation given is y = 2x + 4. To compute the missing x and y values, we need to substitute the given ordered pairs into the equation and solve for the missing variable.

Let's assume we have an ordered pair (x, y) that satisfies the equation y = 2x + 4.

For example, let's say one missing value is x = 3. We can substitute this into the equation:

y = 2(3) + 4

y = 6 + 4

y = 10

So, the missing ordered pair is (3, 10).

Similarly, if another missing value is y = 8, we can substitute this into the equation and solve for x:

8 = 2x + 4

4 = 2x

x = 2

So, the missing ordered pair is (2, 8).

In summary, the missing x and y values that satisfy the equation y = 2x + 4 are (3, 10) and (2, 8).

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Answer:

x = -3

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180°.

55 + 54 + x + 74 = 180

x + 183 = 180

x = -3

Answer:

9 square millimeters

Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

The quotient gives (f/g)(4) = -16/3 and the value that is not in the domain is x = 1.

Here we know that:

f(x) = (x + 4)(x - 6)

g(x) = x - 1

And we want to find the quotient between these functions:

(f/g)(4)

So first let's find the values of the functions when x = 4.

f(4) = (4 + 4)*(4 - 6) = 8*-2 = -16

g(4) = 4 - 1 = 3

Then the quotient is:

(f/g)(4) = -16/3

Now, the values that are not in the domain of f/g are the values that make the denominator equal to zero, because we can't divide by zero.

g(x) = 0 = x - 1

         1  =x

The denominator is zero for x = 1, so that value is not in the domain.

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Answer:

A, She added before multiplying.

Step-by-step explanation:

First, start off by using GEMDAS.

Grouping

Exponents

Multiply

Divide

Add

Subtract

You work from left to right - so you obviously divide first, which Amanda did successfully. Then, you multiply, which is exactly where Amanda went wrong. She was supposed to multiply before adding the 3 with 4.

Not sure if this made sense,

The correct answer is: [A]: " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). Also called "Ordinate".

Here, The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

Thus, the correct answer is: [A]: " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

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Answer:

80

2(5)(8)

you multiply 2 times 5 = 10

10 times 8 is 80

Answer:

4.2

Step-by-step explanation:

0.2^(3)-:0.4*60+3.6-:1.2 = 4.2

Answer:

4.2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Use the given functions to set up and simplify f(-3x)

substitute x with -3x

-2 (-3x) =6x    remember a - x - = +

6x +5

Answer:

9 cm

Step-by-step explanation:

y = 12 - 3

y = 9

Answer:

$115

Step-by-step explanation:

Because the add does that like answer

I wait that you understand

Hello :

    3/8 = x/(15 + x)

⇔ 3(15 + x)/8 = x

⇔ (45 + 3x)/8 = x

⇔ 45 + 3x = 8x

⇔ 8x - 3x = 45

⇔ 5x = 45

⇔ x = 45/5

⇔ x = 9

Answer:

$15.00 per day and $0.22 per mile.

Step-by-step explanation:

To determine the daily fee and mileage fee charged by Best Rentals, we can set up a system of equations based on the given information.

Let's assume the daily fee is represented by "d" and the mileage fee is represented by "m."

For Mateo:

3d + 300m = 111.00

For Dara:

5d + 600m = 207.00

Now we can solve this system of equations to find the values of "d" and "m."

Multiplying the first equation by 2 to eliminate "m," we get:

6d + 600m = 222.00

Subtracting the second equation from this equation, we have:

(6d + 600m) - (5d + 600m) = 222.00 - 207.00

d = 15.00

Substituting the value of "d" into the first equation, we can solve for "m":

3(15.00) + 300m = 111.00

45.00 + 300m = 111.00

300m = 111.00 - 45.00

300m = 66.00

m = 0.22

Therefore, Best Rentals charges $15.00 per day and $0.22 per mile.

Answer:

10.5

Step-by-step explanation:

63,5,0,0,45,2,23,16

order from smallest to greatest

0, 0, 2, 5, 16, 23, 45, 63

median = center number

(5 + 16) / 2 =10.5

A polynomial is considered rational if it can be written as a polynomial divided by a polynomial.

Any function that can be expressed as a rational fraction in mathematics—an algebraic fraction in which the numerator and denominator are both polynomials—is referred to as a rational function.

Here,

Given :f (x) = 4/x-3+2.

=> vertical asymptotes :

=> 4/x

and

horizontal asymptotes :

=> -1

The rational function is (x/y)where y≠ 0

So,

x≠0.

can be a rational function for them.

Oblique, vertical, and horizontal asymptotes are the three forms of asymptotes that make up the different types of rational functions. The maximum number of horizontal or oblique asymptotes for a rational function is one, although there can be multiple vertical asymptotes.

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\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)

Answer:

what are the advantages of standard contract

Answer:

x = -6 , -2

Step-by-step explanation:

Find factors of x² and 12, in which, when combined, will give 8x:

x² + 8x + 12 = 0

x               6

x               2

(x + 6)(x + 2) = 0

Check. Use the FOIL method:

First, combine the first terms:  x * x = x²

Next, combine the outside terms: x * 2 = 2x

Then, combine the inside terms: 6 * x = 6x

Finally, combine the last terms: 6 * 2 = 12

Combine like terms: x² + (2x + 6x) + 12

                                  x² + 8x + 12

Solve for the solutions. Set each parenthesis equal to 0:

(x + 6)(x + 2) = 0

(x + 6) = 0

(x + 2) = 0

Isolate the variable x. Subtract 6 & 2 from both sides for their respective equation:

x + 6 = 0

x + 6 (-6) = 0 (-6)

x = 0 - 6

x = -6

x + 2 = 0

x + 2 (-2) = 0 (-2)

x = 0 - 2

x = -2

x = -6 , -2

~

Answer: {-6, -2}

Step-by-step explanation: First look if you can factor the left side.

In this case, the trinomial on the left can be factored.

The left side of the equation is a trinomial in a special form

that can be factored as the product of two binomials.

As our first term for each binomial, we will have the factors of x².

Since x² breaks down into x · x, we use an

x in the first position of each binomial.

For our second term, we are looking

for factors of 12 that add to 8.

In this case, these factors are 6 and 2.

So we have (x + 6)(x + 2) = 0.

So either x + 6 = 0 or x + 2 = 0.

Solving each equation from here, we find that x = -6 or x = -2.

We can write our answer as the solution set {-6, -2}.

Answer:

\(4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) = 3 \\ \)

\(LHS = 4 \cot {}^{2} (45) - 3 \tan {}^{2} (60) + 2 \sec {}^{2} (60) \\\)

let us first take a look at the values of the trigonometric ratios given in the question so that we get quite clear about what is to be done.

here ,

\( \cot(45) = 1 \\ \\ \tan(60) = \sqrt{3} \\ \\ \sec(60) = 2\)

now ,

we just have to plug in the values considering certain other things given in the question and we're done!

so let's start ~

\(4(1) {}^{2} - 3( \sqrt{3} ) {}^{2} + 2(2) {}^{2} \\ \\ \dashrightarrow \: 4(1) - 3(3) + 2(4) \\ \\ \dashrightarrow \: 4 - 9 + 8 \\\\ \dashrightarrow \: 12 - 9 \\ \\\dashrightarrow \: 3 = RHS\)

hence , proved ~

hope helpful :D

The most reasonable unit of measurement for 3) is option (C): \(m^2\), 4) is option (B): \(km^2\), 5) is \(in^2\).

3) The most reasonable unit for the measurement of the baseball field is \(m^2\) because the baseball field covers a large distance which is not accurately measured by small units  \(cm^2\) or \(mm^2\)  where it is not that big to be measured in large units like \(km^2\). So option C is the correct option.

4) The most reasonable unit for the measurement of a lake is \(km^2\) because lakes are generally very large water bodies that cover a large distance and are not accurately measured by small units like \(cm^2\) , \(mm^2\) , and \(m^2\). So option B is the correct option.

5) The most reasonable unit for the measurement of the area of a door is \(in^2\) because doors are relatively small compared to the other options and are often measured in square inches or square feet. So option B is the correct option.

Therefore the correct answers question-wise are:

3) \(m^2\)

4) \(km^2\)

5) \(in^2\)

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