An arcade in Boulder, Colorado uses 3 different colored tokens for their game machines. For $20 you can purchase any of the following mixtures of tokens: 14 gold, 20 silver, and 24 bronze; OR, 20 gold, 15 silver, and 19 bronze; OR, 30 gold, 5 silver, and 13 bronze. What is the monetary value of each token?

Answer: I would use the max as 25

Step-by-step explanation: You use the variables of y, for the numbers os the maximum. so i would be high

The number of cloves of garlic you will plant is 288

Given,

There are two groups of garlic bulbs.

Ratio of garlic bulbs = Planting : Cooking = 6 : 1

The number of garlic bulbs used for cooking = 6

The number of cloves in a garlic bulb = 8

We have to find the number of cloves of garlic used for planting:

Here,

Ratio = 6 : 1

1 in ratio represents 6 bulbs of garlic

So, 6 will be, 6 × 6 = 36

That is, the number of garlic bulbs used for planting is 36.

Now,

Number of cloves of garlic used for cooking = 6 × 8 = 48 cloves

Number of cloves of garlic used for planting = 36 × 8 = 288 cloves.

That is, the number of cloves of garlic you will plant is 288.

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Given:-

To find the simplified form and the mistake.

So now we use the formula,

So now we substitute the value. so we get,

So now we get,

So the value of x is,

So the mistake is in step 5.

nvm i left

Step-by-step explanation:

In  quadratic equation  (-11)2 = 121, the solution is actually both x = 11 and x = -11.

What in mathematics is a quadratic equation?

x² = 121. To find x, we need to get rid of the exponent, and to do this, we can take the square root of both sides:

√x² = √121

x = √121

You might believe that x = 11, but keep in mind that x might also be negative because negative numbers can be squared.

In essence, each real number has both a positive and a negative square root.

Because (-11)2 = 121, the solution is actually both x = 11 and x = -11.

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Answer:

Rosa

Step-by-step explanation:

5/7 fraction  = 0.71

4/6 fraction  = 2/3 = 0.6

Considering the definition of perpendicular line, the equation of the straight line passing through the point (0,-1) which is perpendicular to the line y=3/4x-3 is y= -4/3x -1.

A linear equation o line can be expressed in the form y = mx + b

where

Perpendicular lines are lines that intersect at right angles or 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.

The line is y= 3/4x - 3. The line has a slope of  3/4.

If you multiply the slopes of two perpendicular lines, you get –1, you get:

3/4× slope perpendicular line= -1

slope perpendicular line= (-1)÷ (3/4)

slope perpendicular line= -4/3

The perpendicular line has a form of: y= -4/3x + b

The line passes through the point (0, -1). Replacing in the expression for perpendicular line:

-1= -4/3×0 + b

-1= 0 + b

-1= b

Finally, the equation of the perpendicular line is y= -4/3x -1 .

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The simplified form is 3/4( 2s-1).

The problem we dealing with here is related to factors of linear polynomial, where a linear polynomial is characterized as any polynomial expressed in the form of a condition of p(x) = ax + b, where a and b are real numbers and a ≠ 0. In a linear polynomial, the degree of the variable is rise to 1 i.e, the highest type of the variable is one, whereas a factor of polynomial P(x) is any polynomial that divides equitably into P(x). The factorization of a polynomial is its representation as a product of its variables.

The problem that is given to us is 6s-3/4 ,we just need to find common factor it to convert it into a simpler form.

We can see 3/4 is the common factor out here so it wil be

=3/4 (2s-1)

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Answer:

-1

Step-by-step explanation:

All of them have the same denominator so we can take the denominator out

2-4-3 = -1 m

The value of c would be -32 to get the slope of 8.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given equation is cx + 4y = 12. Convert the equation into the general form of the equation.

cx + 4y = 12

4y = -cx + 12

y = (-c / 4)x + ( 12 / 4 )

y = ( -c / 4) x + 3

The slope of the equation is ( -c / 4 ) which is to be equal to 8.

( -c / 4 ) = 8

c = -32

Therefore, the value of c would be -32 to get the slope of 8.

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Answer:

for my question u commented on u can just talk about u or anyone for a reference

Step-by-step explanation:

Answer:

In slope intercept form -5y = -4 - 30

Step-by-step explanation:

Slope intercept form is y=mx + b

Rewrite your equation in this form

-10y = -8x - 60

Find GCF (Greatest Common Factor) in this case it is 2

Divide all by 2

-5y = -4x - 30

divide both sides by -5

y = 4/5x + 6

slope = 4/5

Answer:

8

Step-by-step explanation:

so we know the formula of a line  is y=mx+b

1. arrange 8x+10y=60 into y=mx+b format

2. 10y=8x+6

3. we see that 8 = m

4. parallel line NEVER intersect so therefore they have the same slope (whereas perpendicular lines intersect so the slope for a perpendicular line would be -1/8)

Value of w will be [tex]\frac{45}{Q}[/tex] + 3

Division is the process of dividing a bunch of items into equal portions. It is one of the four fundamental operations in mathematics and results in a just distribution of resources. The division of two numbers can be calculated using the following formula: Dividend Divisor = Quotient + Remainder. The number that is being divided in this case is known as the dividend. The number that divides the number (dividend) into equal parts is known as the divisor. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each. The division sign, "÷" or occasionally "/," is used in computer code.

Given Data

The nine less than the quotient of a number w and -3 is 54.

Let the quotient be Q

9 - Q( w - 3) = 54

Solving,

-Q(w  - 3) = 54 -9

w-3 = [tex]\frac{45}{Q}[/tex]

w = [tex]\frac{45}{Q}[/tex] + 3

Value of w will be [tex]\frac{45}{Q}[/tex] + 3

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Answer: y = 7

Step-by-step explanation: 3^2 is 9 and 9 - 2 is 7.

Answer: [tex]Y=X-1[/tex]

Step-by-step explanation:

The standard linear equation for the table is expressed as y = mx + b with

m as the slope of the line and b as the y-intercept.

We will use coordinates (2,1) and (3,2) from the table to calculate the slope, m.

[tex]\begin{equation}\begin{aligned}m &=\frac{Y 2-Y 1}{X 2-X 1} \\m &=\frac{2-1}{3-2} \\m &=\frac{1}{1} \\m &=1\end{aligned}\end{equation}[/tex]

We can find the formula using the point-slope formula.

[tex](Y -Y 1)=\ m (X -X1)\\Y-1=1(X-2)\\Y-1=X-2\\Y=X-1[/tex]

Answer:

5: 13

6: 7

7: 26

8: 18

9: x=11 , y=3

Step-by-step explanation:

5:

9x + 2 = 119

9x = 117

x = 13

6:

12x - 8 + 104 = 180

12x - 8 = 76

12x = 84

x = 7

7:

5x + 7 = 8x - 71

3x = 78

x = 26

8:

7x - 61 = 4x - 7

3x = 54

x = 18

9:

9x + 25 = 13x - 19

4x = 44

x = 11

13(11) - 19 + 17y - 5 = 180

143 - 24 + 17y = 180

119 + 17y = 180

17y = 61

y = 3

Answer:

1/1power4

Step-by-step explanation:

=one on one,and there will be a power four on top of the one.

Answer:Irrational

Step-by-step explanation:The answer does not end and is infinite.

Answer:

it is irrational number

Step-by-step explanation:

it just is irrational number

The value of the function (b²)²(b²)² from the given quadratic equation is 390,625.

The solution of a quadratic function is determined from either formula method or completing the square method.

The equation for the formula method of solving a quadratic function is given as;

[tex]x = \frac{-b \ \ \pm \ \sqrt{b^2 - 4ac} }{2a}[/tex]

where;

The given quadratic function;

3x² - 5x - 3 = 0

from the equation above we can infer the following;

a = 3

b = -5

c = -3

The obtain the value of the function [ (b²)²(b²)²], we will substitute the value of b from the above quadratic equation into the given function as shown below.

(b²)²(b²)² = (-5²)²(-5²)² = (-5)⁸ = 390,625

Thus, the value of the function (b²)²(b²)² is determined by applying the formula method of solving a quadratic function.

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Option B picture shows the plan of the given 3D shape and Option I picture shows the side elevation of the given 3D shape.

Plan: When an object is viewed from the top, that section or part is called a plan view of that object.

Options C, G, F, and B- all are viewed from the top: however out of these four only Option B shows the real plan of this given 3D object while others change its dimension and shape.

Elevation: When an object is viewed from one side of the object, that section or part is called an elevation view.

Options D, E, A, and I- all are in elevation view, however, only option I is satisfying and shows the real elevation of a given 3D object.

Therefore, only option B and option I are showing the correct plan and elevation of a given image.

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The equation for the proportional relationship is 16x-y=0 .

The equation of the line passing through the two points (a,b) and (c,d) is given by

(y-b) = m(x-a), where m is the slope .

In the question ,

Given in the graph that

x represents the number of cups of flour and y represents the number of cookies made .

From the graph we can see that

when 6 cups of flower is used , 96 cookies are made

So, the point on the line is (6,96),

when 12 cups of flower is used , 192 cookies are made

So, the point on the line is (12,192)

hence the line passes through the two points (6,96) and (12,192).

So the slope of the line is

m=(192-96)/(12-6)

m= 96/6

m=16

Substituting the values of a,b, c,d and m in the equation of line formula ,we get

y-96=16(x-6)

y-96 = 16x - 96

16x-y=96-96

16x-y=0

Therefore , The equation for the proportional relationship is 16x-y=0.

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The slope of the line passing through  (4,7) and (7, 16) is 3

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run". It is denoted by "m".

Formula, m = rise / run = (y2 - y1) / (x2 - x1)

Given,

(x1, y1) = (4, 7)

(x2, y2) = (7, 16)

Now, put these values in slope (m) formula,

m = (y2 - y1) / (x2 - x1)

   = (16 -7) / (7 - 4)

   = 9/3

   = 3

Therefore, the slope of the line passing through  (4,7) and (7, 16) is 3.

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Answer: A

Step-by-step explanation:

[tex]\pi > 3 \implies 5\pi > 15[/tex]

The given expression 1500 x 830 + 321 can be solved as 12,45,321 using arithmetic operations.

Multiplication is the repeated addition of a number. If we multiply m by n, that means m is repeatedly added to itself for n times. The symbol for multiplication is ‘×’.

Addition is the process of combining two or more items (or numbers) to create a new sum.

Given the expression: 1500 x 830 + 321

Using BODMAS, first we do the multiplication.

So, 1500x 830 = 12,45,000

Now, continuing with the addition, we get

12,45,000 + 321 = 12,45,321

Therefore, the given expression can be solved as 12,45,321.

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"The given question is:

Calculate 1500 x 830 + 321"

The coordinates of B are (-2 , 9)

Step-by-step explanation:

A (8, 4)

M (3 , -1)

To calculate a midpoint you have to add the corresponding coordinates of each point and divide them by 2

(Ax + Bx) / 2 = Mx

(8 + Bx) / 2 = 3

8 + Bx = 3 * 2

Bx = 6 - 8

Bx = -2

(Ay + By) / 2 = My

( -1 + By) / 2 = 4

-1 + By = 4 * 2

By = 8 + 1

By = 9

The coordinates of B are (-2 , 9)

The rule of signs in binomial factors given a trinomial in the form :

Note that b and c can be positive or negative.

And the factor may be :

First thing to do is to check the sign of c.

If it is positive, the signs of m and n can be both positive or both negative.

Since positive multiplied by positive is positive and

negative multiplied by negative is also positive.

If the sign of c is negative, one of the factors must be negative and the other must be positive, because negative multiplied by positive is negative.

After considering the sign of c, next to check is the sign of b.

Case 1 :

If b and c are both positive, we know that the factors can be both negative or both positive.

And since the sign of b is positive, we must follow the sign of it which is positive.

So both m and n are positive

For example :

The factor will be :

which are both positive.

Case 2 :

If b is negative and c is positive, we will follow the sign of b. m and n will be both negative.

For example :

The factors are :

which are both negative

Case 3 :

Now the third case is tricky.

If c is negative, we know that one of m and n is negative and the other one is positive.

The sign of the larger number between m and n will follow the sign of b.

For example :

c is negative, so one factor must be negative and the other must be positive. The sign of b is negative, so the larger factor must be negative also.

The factor will be :

3 is larger than 2, so the negative sign of b will proceed to the factor 3.

The dimensions of the garden are l=20 ft and w=15 ft.

Given, the rectangular garden is 5 ft longer than it's width.

The area of the garden is 300 ft.

dimensions of the garden are = ?

let the width be represented by x.

therefore, length = 5+x

area of the rectangle = l×w

substitute the values.

x(5+x) = 300

5x + x² = 300

x² + 5x - 300 = 0

x²+20x-15x-300 = 0

x(x+20)-15(x+20)=0

(x+20)-(x-15)=0

x=-20 or x=15

hence the dimension cannot be negative.

hence x=15.

substitute x=15 in l=x+5

l=15+5

l=20

Therefore, length and width of the rectangle garden are 20 ft and 15 ft, respectively.

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Answer:

term

Step-by-step explanation:

The first term of the series such that the sum of the first three terms of the geometric series is 171 is equal to 81.

In this problem we find the sum of three consecutive elements of a geometric series. A geometric series is a set of elements generated by a discrete exponential expression of the form:

y = a · rⁿ ⁻ ¹

Where:

According to the statement, we find the following expression:

a · (2 / 3)² + a · (2 / 3)¹ + a · (2 / 3)⁰ = 171

(4 / 9) · a + (2 / 3) · a + a = 171

(19 / 9) · a = 171

a = 81

Then, the first term of the series is:

y = 81 · (2 / 3)¹ ⁻ ¹

y = 81

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