Candle A has an initial height of 11 inches. Once lit, candle A melts at a constant rate of 0.45 inch per hour. Candle B has an initial height of 7 inches and melts at a constant rate of 0.25 inch per hour. If the two candles were lit at the same time, how many hours until both candles are the same height?

The given system of equations have infinitely many solutions.

The given system of equations are:

2y = 4x + 6  or  y = 2x + 3 .......  (1)

y = 2x + 3 ......... (2)

We know that if the slopes of 2 system of equations are same but their y - intercept are different then it has no solution, if the slopes are same and the y-intercept are also same then it has infinitely many solutions, and if the slopes are different then it has a unique solution.

When we observe the given system of equations and compare it with the general form y = mx + c, we can conclude that both the equations have same slope, that is, 2 and same y-intercept, that is, 3.

Hence, the given system of equations have infinitely many solutions.

The question is incomplete, the complete question is:

How many solutions does the system have 2y = 4x + 6 and y = 2x + 3?

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The given system of equations 2y = 4x + 6 and y = 2x + 3 has infinitely many solutions.

The given system of equations is

2y = 4x + 6  or  y = 2x + 3 .......  (1)

y = 2x + 3 ......... (2)

We know that if the slopes of 2 systems of equations are the same but their y-intercept is different then it has no solution if the slopes are the same and the y-intercept is also the same then it has infinitely many solutions, and if the slopes are different then it has a unique solution.

When we observe the given system of equations and compare it with the general form y = mx + c, we can conclude that both the equations have the same slope, that is, 2 and the same y-intercept, that is, 3.

--The given question is incomplete, the complete question is

"How many solutions does the system have 2y = 4x + 6 and y = 2x + 3?"--

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Answer:

A rhombus is not a trapezoid

Parallelograms have TWO pairs of parallel sides

a rectangle is only a rhombus if the rectangle has equal sides( making it be a square)

A rectangle is also a parallelogram

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

So

1) No

2)No

3) i think that it could be both yes and no because of the answer up there  ^

4) Yes

The perimeter of the given figure is 36.84 ft.

The perimeter is defined as the sum of all the sides of the two-dimensional figure. The perimeter for the given figure will be the sum of all the sides.

The perimeter of a closed shape is the overall length of the boundary. As a result, the perimeter of that shape is determined by adding up all of its sides. Therefore, Perimeter(P) = Sum of All Sides is the perimeter formula.

The perimeter will be calculated as:-

Perimeter = ( 3 x 3 ) + ( 3 x 3 ) +  ( 2πr )

Perimeter =  9 + 9 + ( 2π x 3)

Perimeter = 18 + 18.84

Perimeter = 36.84 ft

Hence, the perimeter will be 36.84 ft.

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The correct statement that describes the two functions A

Function is a type of relation, or rule, that maps one input to specific single output.

Given;

Ryan: 3 boxes per hour

Daniel: y=4h

Ryan's function;

In 1 hour, he can pack 3 boxes.

In hours, he can pack 3h boxes.

So, the equation will become;

y=3h

Now, we have;

y=3h Ryan

y=4h Daniel

Both functions represent direct proportional functions.

So, when h increases y also increases.

Therefore, Daniel's function has a greater rate of change because implies that he can pack 4 boxes per hour while Ryan can pack 3;

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Answer: 4

Step-by-step explanation:

The x intercept is where the line intersects with the x axis

Counting from the origin (0,0), you can see that the x intercept is 4

Displacement is the measurement of "how far an object is out of place," whereas distance refers to "how much ground an object has covered during its motion."

A scalar quantity known as distance measures "how much ground an object has traversed" while moving.

The entire journey that an object takes can be used to define its distance. An illustration. An automobile must cover a total distance of 13 km if it drives for 5 km in the east before turning and driving for another 8 km in the north.

The meter is the metric unit of length.

The speed distance time formula is given as. d=xt.

Distance traveled d = x × t.

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Answer:

Part A: You can use unitary method as the shadow is directly proportional to the height of the initial object.

Part B:

1.5 : 5 :: 4.5 :: Height of street sign

5 : 1.5 :: Height of street sign : 4.5

Part C

You can use the first proportion,

If 1.5 ft : 5 ft

4.5 : 4.5 x 5/1.5 = 15 ft.

You can use the second proportion.

5 : 1.5

x : 4.5

5/1.5 = x/4.5

x = 4.5 / 1.5 x 5 = 15 ft

There u go mate.

Cheers! Also, pls mark as brainliest if possible.

Bar, circle, and line graphs are the three most often utilized graph kinds. Each form of graph can be used to display a certain kind of data.

Using a bar graph, you may rapidly and visually communicate related information. The bars show the value for each type of data in question. The y-axis refers to the vertical axis on the left or right side of the bar graph.

Information and data are visualized using circle graphs or pie charts. To quickly and proportionally display the findings of an investigation, a circle graph is frequently employed.

A line graph, sometimes referred to as a line chart or a line plot, is frequently used to display data that varies over time. Several points connected by straight lines can be used to plot it. It includes of the "x-axis" and the "y-axis,".

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Using subtraction it is found that Elerie needs to pour 350 ml more milk in the jug and not 440 ml.

What is subtraction?

The process of subtracting one number from another is called subtraction. The way to calculate the difference between two numbers is by using the basic arithmetic operation of subtraction, which is represented by the symbol (-).

Eleri needs half a litre of milk, which is a = 500 ml

According to the diagram Eleri has already poured some amount of milk in the jug, which is b = 150 ml.

Let the remaining amount of milk that needs to be poured be x.

So, use the arithmetic operation of subtraction to solve the equation -

x = a - b

x = 500 - 150

x = 350

Eleri is not correct about pouring 440 ml more milk in the jug.

Therefore, Eleri needs 350 ml of more milk in the jug.

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The domain and the range of y = 12x - 35 are the set of all real numbers

from the question, we have the following parameters that can be used in our computation:

y = 12x - 25

There is no restriction on the input values, x

So, the domain of y = 12x - 35 is all real numbers, since there is no restriction on the input (x).

The range of y = 12x - 35 is also all real numbers, since the output (y) can be any real value, depending on the input (x).

This can be seen by considering that for any real number x, the output y = 12x - 35 will also be a real number.

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Complete Question

Use the drop-down menus to identify the domain and range of each function below.

y = 12x - 25

The solution of the linear equation 5x + y =8 and -6x + 2y = -4 will be (1.25, 1.75).

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The linear equation is given below.

5x + y = 8                        ...1

-6x + 2y = -4                   ...2

From equations 1 and 2, then we have

- 6x + 2(8 - 5x) = - 4

- 6x + 16 - 10x = - 4

- 16x = - 20

16x = 20

x = 1.25

The value of 'y' is given as,

5(1.25) + y = 8

6.25 + y = 8

y = 8 - 6.25

y = 1.75

The solution of the linear equation 5x + y =8 and -6x + 2y = -4 will be (1.25, 1.75).

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The slope intercept form of the equation is  2) y=[tex]\frac{2}{3}x+1[/tex].

What is slope intercept form of the equation?

When the slope of the line being studied is known, and the provided point is also the y intercept, the slope intercept formula, y = mx + b, is used (0, b).   It provides both a slope and an intercept, which is why the form is known as the slope-intercept form.

Here the given points [tex](x_1,y_1)=(0,1)[/tex] and [tex](x_2,y_2)=(3,3)[/tex]

Now using slope  formula m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

=> slope m = [tex]\frac{3-1}{3-0} = \frac{2}{3}[/tex]

Now using equation formula then [tex]y-y_1=m(x-x_1)[/tex]

=> y-1 = [tex]\frac{2}{3}[/tex] (x-0)

=> 3(y-1)=2x

=> 3y-3=2x

=> 3y=2x+3

=> y=[tex]\frac{2}{3}x+1[/tex]

Hence the correct option is 2) y=[tex]\frac{2}{3}x+1[/tex].

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The correct answers in the blank matrix are a₁₁ = 700, a₁₃ = -200, a₂₂ = 1 and a₂₃ = 5000.

We have the given equations are

y = 700x + 200

y = 5,000 − 75x

To answer this question, first, need to convert these equations into the matrix form

[tex]\begin{bmatrix}700 & -1 & -200\\75 & 1 & 5000\end{bmatrix}[/tex]

Here,

The first row and first column number, a₁₁ = 700

The first row and second column number, a₁₂ = -1

The first row and third column number, a₁₃ = -200

The second row and first column number, a₂₁ = 75

The second row and second column number, a₂₂ = 1

The second row and third column number, a₂₃ = 5000

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A quadratic equation that can be written in the form ax^2 = b can be solved using the square root method.

Here are the steps of the square root method:

Take the square root of both sides of the equation, giving you √(ax^2) = √(b)

Solve for x by dividing both sides of the equation by √a.

If the value of b is positive, the solutions will be x = √(b/a) and x = -√(b/a).

For example, to solve the equation 4x^2 = 16, we can use the square root method as follows:

√(4x^2) = √(16)

x = ±√(16/ 4)

x = ±√4

x = 2 and x = -2

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we can add 6a2 + 10a and 8a4 together to get 11a2 + 10a. This is the final answer for the product of 3a + 5 and 2a2 x 4a2.

we can add 6a2 + 10a and 8a4 together to get 11a2 + 10a. This is the final answer for the product of 3a + 5 and 2a2 x 4a2.

11a2 + 10a

3a + 5 x 2a = 6a2 + 10a

2a2 x 4a2 = 8a4

6a2 + 10a + 8a4 = 11a2 + 10a

We can calculate the product of 3a + 5 and 2a2 x 4a2 by using the distributive property. First, we can multiply 3a + 5 by 2a2, which will give us 6a2 + 10a. Then, we can multiply 2a2 by 4a2, which will give us 8a4. Finally, we can add 6a2 + 10a and 8a4 together to get 11a2 + 10a. This is the final answer for the product of 3a + 5 and 2a2 x 4a2.

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Answer:

On Saturday, Matt practiced for 11 hours, and on Sunday, he practiced for 2 hours. So the total time Matt practiced on Saturday and Sunday is 11 hours + 2 hours = 13 hours.

On Monday, Matt practiced for half the time he practiced on Saturday and Sunday combined. To find out how long Matt practiced on Monday, we can divide the total time he practiced on Saturday and Sunday by 2.

13 hours / 2 = 6.5 hours

So, Matt practiced for 6.5 hours on Monday.

6.5 hours in fraction form can be expressed as 13/2 hours.

You can also express it as 6 + 1/2 = 6 1/2 hours.

Answer:

x = 5 and -5

Step-by-step explanation:

5[tex]x^{2}[/tex] = 125

5[tex](5^{2})[/tex]

5(25)

125

5[tex](-5)^{2}[/tex]

5(25)

125

Same answer when x = 5 an d when x = -5

The number of books Eli reads each month is 1 / 5 books.

Eli read 1 book in 5 months.  He reads at a constant rate. Therefore, the number of books he read each month can be calculated as follows:

He reads 1 book in 5 months.

Recall, he reads at a constant rate.

Therefore, the number of book he reads each month is as follows:

5 months = 1 book

1 month  = ?

cross multiply

number of book read each month = 1 / 5

Therefore, he reads 1 / 5 books each month.

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When dividing the polynomial 3x^2 + 8x -3 by x + 3, we get the quotient as 3x - 1.

The given polynomial is 3x^2 + 8x -3.

First we choose a term to multiply with the first term of the divisor such that we get the first term of the polynomial:

(x)(3x) = 3x^2

Thus, we multiply the divisor (x+3) by 3x which gives 3x^2 + 9x.

Now we subtract this from the polynomial which gives -x -3.

In the same way we multiply the divisor by -1 which gives -x-3. Subtracting the same from the remaining polynomial -x -3 we get the remainder 0.

Thus, the quotient is 3x - 1.

The question is incomplete, the complete question is:

What is the quotient (3x^2 + 8x -3) ÷ (x + 3)?

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The average speed that Antti must maintain for the last 8 km of the race is 9.6 km/h. The result is obtained by using the formula for speed of a moving object

Speed is the rate of change in position of an object without considering the direction. It is a scalar quantity that measures the distance travelled per unit of time. It can be expressed as

s = d/t

Where

To win the 10 km race, Antti's goal is finish in one hour. He completes the first 2 km at the average speed of 12 km/h. Determine the average speed that Antti must maintain for the last 8 km to reach the goal!

We call an average speed in that situation because running can't be constant in nature. So, we use the formula for speed.

The time needed for the first 2 km is

s₁ = d₁/t₁

12 = 2/t₁

t₁ = 2/12

t₁ = 1/6 hour

The remaining time is

t₂ = 1 - t₁

t₂ = 1 - 1/6

t₂ = 5/6 hour

With the remaining time, Antti should sprint at the average speed of

s₂ = d₂/t₂

s₂ = 8/(5/6)

s₂ = 8 × 6/5

s₂ = 9.6 km/h

Hence, Antti must maintain the speed of 9.6 km/h for the last 8 km of the race.

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The best route to take to Boston so that you can spend the least amount of time on the bus is D. Route 4.

To find the route that would involve spending the least amount of time on the bus, you need to find the difference between the time the bus leaves and the time it arrives.

The time for Route 1 is:

= 6 : 15 - 4 : 45

= 1 hour 30 minutes

Route 2:

= 7 : 15 - 5 : 30

= 1 hour 45 minutes

Route 3 :
= 6 : 50 - 5 : 15

= 1 hour 35 minutes

Route 4 :

= 7 : 00 - 5 : 45

= 1 hour 15 minutes

Route 4 is therefore the best route.

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Compounded semi annually y=1400(1.05) 2t  compounded monthly is y=6200(1.007)12t compounded quarterly is y=3500(1.023) 4t

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The multiplicative inverse of a number is the number that when multiplied by the original number will give you 1. To find the multiplicative inverse of 3/-7, you need to divide 1 by 3/-7. Therefore, the multiplicative inverse of 3/-7 is -7/3.

I hope this helps :)

Answer:

15/72

Step-by-step explanation:

15/36 ÷ 2. First Make 2 into a fraction, which is 2/1. Now we have 15/36 ÷ 2/1. Turn the division into multiplication. And switch 2/1 into 1/2. 15/36 x 1/2 is 15/72.

Therefore , the solution of the given problem of triangle comes out to be KY = 16/3 inches , ZJ = 8 inches and  LY =2.66 inches.

The fact that a triangle contains four or segments qualifies it as a polygon. It is an elementary geometric form. Triangle ABC is the name given to a square with angles A, B, or C. Euclidean geometry creates one plane and square when side are not collinear. It is a polygonal if a triangle includes three sides + three corners. The intersection of a triangle's three sides is at its corners. Three triangle angles added together equal 180 degrees.

Here,

Given : A triangle XYZ

side length XY = 8 inches

and ZX = 12 inches

So,

Using centroid theorem:

We get

=> KY = 2/3 * 8

=> KY = 16/3 inches

and

=> ZJ = 2/3 * 12

=> ZJ = 8 inches

and For LY

=>  8 - 16/3

=> 2.66 inches

Therefore , the solution of the given problem of triangle comes out to be

KY = 16/3 inches , ZJ = 8 inches and  LY =2.66 inches.

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The location of the scuba diver is 34.25 feet relative to the surface after 7 1/2 seconds.

Speed refers to the rate at which a distance varies over time. The speed is equated to s = D/T if D is the object's distance in period T. The units are identical to those used for velocity.

Given, the speed of the scuba driver = 2.5 ft/s

The distance covered by her in 7.5 seconds is given by

= 2.5 × 7.5

= 18.75 ft

According to the question, when she started she is 15.5 ft below the surface  of the water

So, her total distance from the surface after 7.5 s is given by

= 15.5 + 18.75

= 34.25 ft

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A repeating decimal or recurring decimal is the decimal representation of a number with periodic digits and an indefinitely repeated component that is not zero.

When a collection of decimal terms must be repeated uniformly, it is known as repeating decimals.

The decimal representation of a number with periodic digits and an infinitely repeated component that is not zero is called a repeating decimal or recurring decimal. Only when a number's decimal representation repeats or terminates can it be demonstrated that the number is rational.

Decimal values that repeatedly occur are known as recurring decimals (also known as repeating decimals). The customary behavior when a decimal expires and so ceases is not the case here. Therefore, 0.75 would be a repeating decimal since it would proceed indefinitely up to 0.755555 rather than ending at 0.75 like the previous example.

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Answer:

2 + 2 equal 4.

Step-by-step explanation:

2 + 2 equals 4.

Answer: 2 + 2 = 4

Step-by-step explanation: you have two markers and then you have two more markers and you add them together you get four

Each of the tire has traveled 10000km / 5 tires = 2000km.

To determine how many km each tire has traveled, you can use the following formula:

Total distance traveled / Number of tires = KM per tire

For example, if the car has traveled 10000 km and there are 5 tires, you would divide 10000 by 5 to get 2000 km per tire.

Another way is to use a tire tread depth gauge to measure the depth of the tread on each tire, when the tread wear reaches a certain point, it means the tire has traveled a certain distance.

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Answer:

Step-by-step explanation:

To get the cost per desk, divide the total cost by the number of desks.

R840 000 x 3,450 desks = R242.86 per desk for Provider 1.

R760 000 R2250 desks = R338.89 per desk

According to the aforementioned computation, Provider 1 is less expensive than Provider 2 since the cost per desk is R242.86 vs R338.89 for Provider 2.

As a result, Provider 1 is less expensive than Provider 2.