A 10 inch-candle burns at a linear rate. It measures 9 inches two hours after it was lit. Which equation can be used to find the length of the candle, y, in inches after x hours it was lit?
1. y = 10 - 0.5x
2. y = 10 - 4.5x
3. y = 10 - 9x
4. y = 10 - 2x

The cost of each lemon meringue pie is $7.5 and the cost of each blueberry pie is $4.5.

Given that, Estelle and Carlos will be hosting a party and will buy 6 pies for their guests.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of lemon meringue pies be L and the cost of blueberry pies be B.

Now, 2L = 4B - 3 and 3L= 3B + 9

Multiply the equation 2L = 4B - 3 by 3

6L = 12B - 9 --------(I)

Multiply the equation 3L= 3B + 9 by -2

-6L = -6B - 18 --------(II)

Add equation (I) and (II)

6L+(-6L) = 12B - 9 + (-6B-18)

⇒ 0 = 6B - 27

⇒ 6B = 27

⇒ B = $4.5

So, cost of lemon meringue = 2L = 4×4.5 - 3

⇒ 2L = 18 - 3

⇒ 2L = 15

⇒ L = $7.5

Therefore, the cost of each lemon meringue pie is $7.5 and the cost of each blueberry pie is $4.5.

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(x - 2)² = 25

24 = x² - 4x + 3

rewritting:

x² - 4x = 24 - 3

x² - 4x = 21

using the completing the square:

coefficient of x = -4

square half the coefficient of x = (-4/2)² = (-2)²

Add the square half the cofficient of x to both sides of the equation

x² - 4x + (-2)² = 21 + (-2)²

taking out -4x:

(x - 2)² = 21 + 4

(x - 2)² = 25

The equation above is in the form (x + c)^2 = d or (x – c)^2 = d

Answer:

[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]

Step-by-step explanation:

Fraction

[tex]\boxed{\large\begin{array}{ccl}1 & \leftarrow & \sf numerator\\\cline{1-1}2 & \leftarrow & \sf denominator \\\end{array}}[/tex]

The numerator of a fraction is the number (or expression) above the fraction bar.

The denominator of a fraction is the number (or expression) below the fraction bar.

[tex]\large{\boxed{\dfrac{n}{0}=\textsf{und\:\!efined} \quad \quad \dfrac{0}{n}=0}[/tex]

If a number (or expression) is divided by zero, the quotient is undefined.

If zero is divided by a number or expression, the quotient is zero.

Therefore:

[tex]\textsf{When the \boxed{\sf numerator} of a fraction is equal to \boxed{0} the value of the fraction is 0.}[/tex]

Step 1

Given; Which toolkit function is this? I am always continuous and have a point of inflection at the origin. My range is from a negative one to one.

Step 2

The function that is always continuous and has a point of inflection at the origin with its range going from -1 to 1 is

From the graph, the range is from -1 to 1.

Answer;

Given:

Required:

We need to find f(b).

Explanation:

Replace x =b in the given equation to find the value of f(b).

Final answer:

The equation of the scatter plot is y = 5/3x + 2 and the tree will be 18.7 feet in ten years

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

The information that completes the question is added as an attachment

From the scatter plot, we have the following points

(x, y) = (0, 2) and (6, 12)

The equation of the line is calculated as

y = (y2 - y1)/(x2 - x1) * (x - x1) + y1

Substitute the known values in the above equation

So, we have

y = (12 - 2)/(6 - 0) * (x - 0) + 2

So, we have

y = 5/3x + 2

In ten years, the value of x is

x = 10

So, we have

y = 5/3 x 10 + 2

Evaluate

y = 18.7

Hence, the height of the tree is 18.7 feet

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Answer:

39 dollars

Step-by-step explanation: 20 perrcent of 52

With 350 gram of ingredients Hamza can make 3.36 wich is equivalent to 3 biscuits or [tex]3\frac{9}{25}[/tex] biscuits.

Given : To make 12 biscuits Hamza needs ;  375g of butter

200 g of sugar and 675g of flour .

thus the total amount of ingredients = 375 + 200 + 675

= 1,250 g

Thus to make 12 biscuits 1250 g is required.

By using unitary method we get :

1g will make 0.0096 biscuits

However to work out the greatest number of biscuits with 125 g of butter

50g of sugar and 175g of flour

will be 125 + 50 + 175 = 350 g

Thus 350 g can make 0.0096 × 350 = 3.36 biscuits ≈ 3 biscuits.

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Answer:

A,  n = (8 - 7p)/m.

Step-by-step explanation:

mn + 7p = 8

mn = 8 - 7p

n = (8 - 7p)/m.

We may determine the value of candy costs by solving a linear equation in which the answer is given as

x = $4.00.

We are aware that a shop owner blends two pounds of candy priced at x dollars per pound with three pounds of candy priced at $1.50 per pound. She asks $2.50 for the mixture.

Since the entire cost at the start must equal the total cost at the end, we can express the equation as 2lb + 3lb = 5lb.

2*x + 3*$1.50 = 5*$2.50

This linear equation for x may now be solved:

2*x = 5*$2.50 - 3*$1.50 = $8.00

x = $8.00/2 = $4.00

The sweet has a $4 price tag.

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Answer:

23 miles is 37 kilometers

Answer:

Step-by-step explanation:

there are 10 milliliters and 1 liter

-15° = C is  a given temperature in degrees Fahrenheit by finding the function's.

What is the purpose of Fahrenheit?

we have a value for F, and so we use that to find C. Insert F's value into the equation:

5 = 9/5 C + 32

Subtract 32 from both sides:

5 - 32 = 9/5 C + 32 - 32

-27 =  9/5 C

Now we multiply both sides by 5/9

-27 *  5/9 = 9/5 C  5/9

-27 is divisible by 9:

-3 * 5 = C

-15° = C

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Answer:

1. Inverse

2. 5/9 and 160/9

3. All of them

Step-by-step explanation:

The value of x = [tex]\frac{2b-5d}{3c}[/tex] .

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

The given equation is

[tex]5d^{3}=d^{2}(2b-3cx)[/tex]

5[tex]d^{3}= d^{2}2b-3cd^{2}x[/tex]

3c[tex]d^{2}x = d^{2}2b-5d^{3}[/tex]

x = [tex]\frac{d^{2}(2b-5d) }{3cd^{2} }[/tex]

x = [tex]\frac{2b-5d}{3c}[/tex]

Hence, The value of x = [tex]\frac{2b-5d}{3c}[/tex] .

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Exact Form:

774/25

Decimal Form:

30.96

Mixed Number Form:

30 24/25

You probably need to put in The Decimal Form

Answer:

51 3/5

Step-by-step explanation:

[tex]\frac{2}{3} *8\frac{3}{5} * 9\\[/tex]   turn the mixed number into an improper fraction first. So, turn

8 3/5 into 43/5.

Also, turn the 9 into 9/1 to make it easier to multiply with

Now multiply all together:

2/3 * 43/5* 9/1

= 774/15

Simplify:

i divided both numerator and denominator with 3 because that is a common factor

=258/5

Answer= 51 3/5  is the mixed number

Answer:

Inverse Function = 4x -8

Step-by-step explanation:

replace x with y and replace x with y

solve for y (meaning isolate y)

y=(1/4x) +2

x= (1/4y) +2

x-2 = 1/4y

multiply by 4 on each side to remove 1/4 from the right side

4(x-2) = y

y= 4(x-2)

y= 4x -8

Inverse Function = 4x -8

Answers:

Slope intercept equation is y = -4x - 17

The point (-6, 7) is on the graph of the line.

====================================================

Explanation:

Let's solve for y

y - 7 = -4(x+6)

y - 7 = -4x - 24

y = -4x - 24 + 7

y = -4x - 17

It is now in slope intercept form y = mx+b

m = -4 = slope

b = -17 = y intercept

---------------

Compare the equation y - 7 = -4(x+6) with the point-slope form of y-y1 = m(x-x1)

The (x1,y1) is a point the line goes through.

Rewriting x+6 into x-(-6) has us get y - 7 = -4(x-(-6))

We can see that x1 = -6 and y1 = 7

Therefore, the point (x1,y1) = (-6,7) is on the line.

The rate of change of what the cab company  charges is; $3.3 per mile

The rate of change is simply the slope of the graph which is the change in y-values per change in corresponding x-values. Thus;

Rate of change here is;

Slope = (y₂ - y₁)/(x₂ - x₁)

We are told that the cab company charges a one time pick up fee of $2 for every ride as well as a $1.10 charge for each mile travelled.

Thus;

Base fee = $2

Rate of change = 2 + 1.1

Rate of change = $3.3 per mile

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The side x = 104 unit and angle y = 74 °

A quadrilateral is referred to as a parallelogram in geometry.

The opposite sides of a parallelogram are parallel and of equal length.

Rhombus, rectangle, and square are a few instances of parallelograms.

The special properties of a parallelogram is that the two opposing sides are both equal and parallel. Also the opposite angles are equal. And the angles inside the parallelogram on the same side , their sum is 180 degrees .

Given : A parallelogram ABCD.

Now in a parallelogram opposite sides are both equal and parallel.

So in this parallelogram ;

97 = x - 7

⇒ x = 97 + 7

⇒ x = 104 .

Also opposite angles of a parallelogram are equal.

⇒ y = 74 °

Thus the required solution is x= 104 degree and y= 74 degrees

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The intersection's two opposing corners are 91.40 feet apart.

Since the given data are:

Width of the Hillsboro Street = 73 feet

Width of Manchester Avenue = 55 feet

When Hillsboro Street and Manchester Avenue cross, calculate the distance between the intersection's two opposing corners,

Because the junction of Hillsboro Street and Manchester Avenue created a right-angled triangle:

Using Pythagoras's Theorem,

H² = B² + P²

H² = (55)² + (73)²

H² = 3025 + 5329

H² = 8354

H = √8354

H = 91.40

As a result, the distance between the intersection's two opposing corners is 91.40 feet.

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Answer:

[tex]\frac{41}{100}[/tex]

Step-by-step explanation:

It cannot be simplified.

Ex: 50% can be simplified to [tex]\frac{1}{2}[/tex]

For a linear equation the solutions are on the line, while for inequalities the solutions are above or below the line (sometimes the line is also included).

When we have a linear equation of the form:

y = line

The solutions on the graph of this equation are the points on the line.

Now, for inequalities like:

y > line

or

y < line.

The solutions are all the points above (or below) the line itself.

Finally, for inequalities like:

y ≥ line

y ≤ line

The solutions are above (below) the line and the line itself.

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The value of y in the equation 1/2 = 1/4y + 1/8 when solved is: y = 3/2(three halves).

Solving an equation implies looking for the value of the variable that would make the equation true or balanced if we plug in the value of that variable into the equation.

To solve for the value of y in the given equation, 1/2 = 1/4y + 1/8, isolate the variable of equation, y, to one side.

1/2 = 1/4y + 1/8 [given]

1/2 - 1/8 = 1/4y + 1/8 - 1/8 [subtraction property of equality]

3/8 = 1/4y

Multiply both sides by 4

3/8(4) = 1/4y(4)

12/8 = y

3/2 = y

y = 3/2 (three halves).

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Answer:

-4/5

Step-by-step explanation:

2/3 * -6/5  = -4/5

:]

The equation of the graph after the translation is h(x)=f(x)+6

The process of transforming an equation or existing graph into a new graph is known as graph translation.

Since the graph for h(x) has moved to the left by 6 units as we can see in the graph. Hence the co-ordinates will also change by 6 units . hence the graph is translated to the left by 6 units.

Therefore the equation after the translation is given by h(x)=f(x)+6 .

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Answer: Y=4x-5

That should be write thats what i got

Solution: 0 = 2y - 8x + 10

=> - 2y = - 8x + 10

=> 2y = 8x - 10

=> y = 4x - 5

Answer: True, It it the same as any other function, it just has more numbers than a two number function

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

x-axis intercept occurs when y = 0

5x + 2(0) = 6

x = 6/5

y axis intercept occurs when x = 0

5(0) + 2y = 6

y = 3

They can make 10 teams NOT 10.3.

Long division is a common division procedure in mathematics that may be used to divide multi-digit Hindu-Arabic numbers (Positional notation) and is easy enough to do manually. A division problem is divided up into a number of simpler steps.

Like in every division problem, the dividend and divisor are two numbers that are divided to produce the quotient, which is the final product. It makes it possible to carry out computations involving arbitrary large numbers by adhering to a set of straightforward processes. When the divisor contains only one digit, long division is nearly always avoided and instead, the condensed version, known as short division, is employed. A less mechanical approach to long division is known as "chunking," which is also known as the "partial quotients method" or "hangman method."

31 ÷ 3

= 10 but remainder 1 .

And then the fulfills the condition is that not everyone can be on a team.

So therefore remainder 1. Condition fulfilled

Answer is 10 .

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The value of x is 4.

When two parallel lines are intersected by a transversal, the exterior angles created on either side of the transversal are equal, according to the alternate exterior angle theorem.

The given angles are 2x + 19° and x + 23°.

As these pair of angles are created on the outer side of the parallel lines but on the other side of the transversal, they are alternate exterior angles.

Using the Alternate Exterior Angles Theorem,

2x + 19° = x + 23°

2x - x = 23° - 19°

x = 4

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