Can you find a fraction that is equivalent to 6 25 ? Which of the following terminating decimals is equivalent to this fraction? 0. 20 0. 22 0. 24 none.

Answer:

We conclude that 520 tickets will be sold in the first 5 hours of the tickets go on sale.

Hence, option A is true.

Step-by-step explanation:

Given that the tickets to a concert went on sale at 10 a.m. by 12 p.m.

Given that the tickets sold in 2 hours = 208

Thus,

Unit rate = 208 tickets / 2 hours

              = 104 tickets per hour

Therefore,

Tickets sold in the first 5 hours of the tickets go on sale:

104 × 5 = 520 tickets

Therefore, we conclude that 520 tickets will be sold in the first 5 hours of the tickets go on sale.

Hence, option A is true.

Answer:

d

Step-by-step explanation:

The ordered pair of the inequality will be (9,-3).

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

Given that inequality is given as y ≤ 1/3x−6.

The ordered pair can be calculated as:-

y ≤ 1/3x−6

Substitute the value of x equal to 9 and get the value of y,

y ≤ 1/3(9) - 6

y ≤ 3 - 6

y ≤ -3

Hence, the ordered pair will be (9,-3).

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Answer:

Step-by-step explanation: does it give you options on what you can say?

The area of triangle ΔABC with ∠C = 90°, ∠B = 75° an AB = 12 cm will be 18.16 square centimeters.

We have a right - angled triangle ΔABC.

We have to find the area of ΔABC.

Pythagoras theorem states - In a right - angled triangle ΔABC, the square of the hypotenuse is equal to the sum of the squares of the base and perpendicular. Mathematically -

h² = b² + p²

According to the question -

(Refer to the image attached)

∠C = 90°

∠B = 75°

AB = 12 cm

Now -

sin 75° = AC/AB

AC = AB sin(75°) = 12 sin(75°) = 12 x 0.97 = 11.64 cm

and

tan 75° = AC/BC

BC = AC/tan(75°) = 11.64/3.73 = 3.12 cm

Therefore, the area of triangle ΔABC -

A = 1/2 (AC x BC) = 0.5 x 3.12 x 11.64 = 18.16 cm²

Hence, the area of triangle ΔABC will be 18.16 cm².

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Answer:

Step-by-step explanation:

Coins:

Equations:

Substitute q in the first equation:

Substitute p and q in the third equation:

Then, finding p and q:

So there are 30 quarters, 14 dimes and 29 pennies

Proof:

Answer:

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Step-by-step explanation:

Answer:

The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

Step-by-step explanation:

Natural Numbers are known as 1, 2, 3, 4, ..., ∞

Now,

For Cube of first six natural numbers

1³ = 1

2³ = 8

3³ = 27

4³ = 64

5³ = 125

6³ = 216

Thus, The cube of first six natural numbers are

1, 8, 27, 65, 125, 216

-TheUnknownScientist

Answer:

x=5

Step-by-step explanation:

Here we are given with a graph.

we have been asked to find the value of x for which

As we know that , to find the value of x for the given value of f(x), we need to look onto the vertical axis, and mark a dot on the given value now draw a line perpendicular to vertical axis so that it cut the given straight line, and where they intersect draw another line perpendicular to the horizontal axis and you will get the value where it crosses the horizontal axis.

Hence we get x=5, then f(x)=7.

The maximum volume e) 64.55 yd3 .

Let the length of one side of the square base be x and the height be h. Then the surface area of the box can be expressed as:

Surface area = area of base + area of four sides

104 = \(x^2 + 4xh\)

We want to maximize the volume of the box, which is given by:

Volume = area of base × height

Volume = \(x^2\) × h

Using the equation for the surface area, we can express h in terms of x:

h = (104 -\(x^2\)) / 4x

Substituting this into the equation for the volume, we get:

Volume = \(x^2\)× (104 - \(x^2\)) / 4x

Volume = (1/4)x(104x - \(x^3\))

To find the maximum volume, we need to find the value of x that maximizes this expression. We can do this by taking the derivative of the expression with respect to x and setting it equal to zero:

\(dV/dx = (1/4)(104 - 3x^2)\) = 0

104 -\(3x^2\) = 0

\(x^2 =\) 104/3

x ≈ 6.29

Since we want the box to have a square base, we can set x = h = 6.29/2 = 3.145, and the maximum volume of the box is:

Volume = \(x^2 × h = (3.145)^2 × (104 - (3.145)^2) / 4(3.145)\)

Volume ≈ 64.55 cubic yards

Therefore, the answer is e) 64.55 yd3.

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Answer:

C

Step-by-step explanation:

The answer is C.

The reason for this is:

Given:

Pool has 6000 gallons already

Drains 250 gallons an hour

Draining=subtraction!!!

So, to format this equation properly,

A=Constant-variable

So, A=6000-250h

As the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The graph of the function is given below.

From the graph, we can conclude that the value of the graph is always positive. So, the function will be an exponential function.

From the graph, as the x-values go to positive infinity, the function's values go to positive infinity. Then the correct option is D.

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Answer: the one in the bottom right

Step-by-step explanation: each month which is the x axis ( the bottom line) the y axis (line on the left) goes up by 5

so when the x axis is 1 the y axis should be at 5

Answer:

x = -2

Step-by-step explanation:

hope that helps :)

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Let's calculate the total number of beads that Lacey has based on the given information.

Answer: 39 beads

Step-by-step explanation:

Lacey has 14 red beads.

She has 6 fewer yellow beads than red beads. This means that the number of yellow beads is 14 - 6 = 8.

She also has 3 more green beads than red beads. This means that the number of green beads is 14 + 3 = 17.

To find the total number of beads, we add up the number of red, yellow, and green beads: 14 + 8 + 17 = 39.

Therefore, Lacey has a total of 39 beads.

Answer:

x=67°

Step-by-step explanation:

x and 113° make a straight angle or straight line, which is 180°, so

x+113°=180°

x=180°-113°=67°

The Answer Is M{x°}=67

have an amazing day <3

m∠MQP = 18

Find the m∠MNP ?

m∠MQP = ½ × m∠MNP

m∠MNP = 2 × m∠MQP

m∠MNP = 2 × 18

m∠MNP = 36

m∠MNP is 36

Answer:

7/16 or (if you are looking for a word) likely

Step-by-step explanation:

Answer:

The answer is explained below

Step-by-step explanation:

I am going to list a series of points where it is important to learn how to perform matrix operations.

1. The first and most important is that calculators may not always be available, and even if you do have them there will be cases where they won't let you use them.

2. By performing the operation by hand it will allow you to understand the process in a better way, such as finding an inverse, if you do this with a calculator you will most likely not know what was done.

3. Although it seems basic, some calculators cannot display the elements of a matrix as fractions, which is important to understand the process.

4. There are special cases such as when an array could contain a variable and the calculator could not be used in this case.

5. Although in most cases the calculator can help us get out of the operation quickly, sometimes it is faster at hand and, most importantly, when performing the step by step, you understand the entire operation better.

INCLUDE:

Calculators may not always be available.

Finding an inverse by hand allows me to understand the process.

Calculators may not show the elements of a matrix as fractions.

Sometimes it is faster by hand.

A matrix could contain a variable.

Van 't Hoff's law, also known as the law of osmotic pressure, states that the magnitude of the osmotic pressure is directly proportional to the concentration of solute particles in a solution at a given temperature.

Van 't Hoff's law is an important concept in chemistry and thermodynamics. It explains the relationship between osmotic pressure and the concentration of solute particles in a solution. According to the law, the osmotic pressure of a solution is directly proportional to the number of solute particles in the solution, regardless of the type of solute. This means that if the concentration of solute particles in a solution increases, the osmotic pressure also increases, and vice versa. This law has numerous applications, particularly in the field of biology, where it is used to explain the movement of water and nutrients in and out of cells. For example, when a plant cell is placed in a hypertonic solution, water moves out of the cell, causing it to shrink. On the other hand, when a plant cell is placed in a hypotonic solution, water moves into the cell, causing it to expand. Understanding Van 't Hoff's law is therefore critical in many fields of science, particularly in biology, chemistry, and chemical engineering.

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To change to spherical coordinates, we can use the following formula:

x = ρ sin φ cos θ

y = ρ sin φ sin θ

z = ρ cos φ

We also note that the region of integration is a hemisphere with radius 3, and that the integrand contains x^2z+y^2z+z^3. Since we are integrating over a hemisphere, the bounds of ρ can be from 0 to 3, φ can be from 0 to π/2, and θ can be from 0 to 2π.

Next, we need to express the integrand in terms of ρ, φ, and θ. Substituting x, y, and z, we get:

x^2z + y^2z + z^3 = ρ^4 sin^2 φ cos^2 θ (ρ cos φ) + ρ^4 sin^2 φ sin^2 θ (ρ cos φ) + (ρ cos φ)^3

Simplifying, we get:

x^2z + y^2z + z^3 = ρ^5 cos^2 φ + ρ^3 cos^3 φ

Thus, the new integral is:

∫0^(2π) ∫0^(π/2) ∫0^3 (ρ^5 cos^2 φ + ρ^3 cos^3 φ) ρ^2 sin φ dρ dφ dθ

Integrating with respect to ρ, we get:

∫0^(2π) ∫0^(π/2) [ 1/6 ρ^6 cos^2 φ + 1/4 ρ^4 cos^3 φ ]_|ρ=0^3 sin φ dφ dθ

Simplifying and integrating with respect to φ, we get:

∫0^(2π) [ 9/5 sin^5 φ - 27/14 sin^7 φ ]_|φ=0^(π/2) dθ

Evaluating the limits, we get:

∫0^(2π) [ 9/5 - 27/14 ] dθ

Finally, evaluating the integral, we get:

∫0^(2π) [ 33/35 ] dθ = 66π/35

Therefore, the value of the integral after changing to spherical coordinates is 66π/35.

At an angle of 270 degrees (or 3π/2 radians) on a circle with a radius of 2 and center at (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

To find the x and y coordinates at an angle of 270 degrees (or 3π/2 in radian measure) on a circle of radius 2 with center (0, 0), we can use the trigonometric definitions of sine and cosine.

The x-coordinate (x-value) represents the horizontal position on the circle, while the y-coordinate (y-value) represents the vertical position.

For a point on the unit circle (circle with radius 1) at a given angle θ, the x-coordinate is given by cos(θ) and the y-coordinate is given by sin(θ).

In this case, the circle has a radius of 2, so we need to multiply the cosine and sine values by 2 to get the x and y coordinates, respectively.

Using the angle 270 degrees (or 3π/2 in radian measure):

x-coordinate = 2 * cos(3π/2)

y-coordinate = 2 * sin(3π/2)

Evaluating these expressions:

x-coordinate = 2 * cos(3π/2) = 2 * 0 = 0

y-coordinate = 2 * sin(3π/2) = 2 * (-1) = -2

Therefore, at an angle of 270 degrees (or 3π/2 radians) on the circle of radius 2 with center (0, 0), the x-coordinate is 0 and the y-coordinate is -2.

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The average speed, in miles per hour, of car X for the 2-hour trip is 56 mph.

The average speed, in miles per hour, of car x for the 2-hour trip is 56 mph.Let’s first identify what the given is.The problem states that car X and car Y started from the same point and traveled on a straight course in opposite directions for 2 hours, at which time they were 208 miles apart. The problem also states that car X traveled, on average, 8 miles per hour faster than car Y.So we have two cars, X and Y, that traveled in opposite directions.

In this problem, we are asked to find the average speed of car X for the 2-hour trip.Let’s use the formula that relates distance, speed, and time. For any given problem, this formula will help us determine which variable we need to solve for.distance = speed × timeSo, in this problem, we know the time and distance, but we need to find the speed.

We can use the information given in the problem to set up an equation for the two cars.Using the formula, we can set up the following equation for car X:dX = speedX × 2Using the same formula, we can set up the following equation for car Y:dY = speedY × 2Since car X traveled, on average, 8 miles per hour faster than car Y, we can write this as speedX = speedY + 8.

Now we know that the sum of the distances that car X and car Y traveled is equal to the total distance that separates them. Using this information, we can set up the following equation:dX + dY = 208To solve for the speed of car X, we need to isolate speedX in the equation that relates speedX and speedY. We can do this by substituting the equation for dX and dY in the equation that relates speedX and speedY.

This gives us the following equation:(speedY + 8) × 2 + speedY × 2 = 208Simplifying this equation, we get:4 speedY + 16 = 2084 speedY = 192speedY = 48 mphNow that we know the speed of car Y, we can use the equation for speedX and speedY to find the speed of car X. This gives us:speedX = speedY + 8 = 48 + 8 = 56 mph.

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The quadratic equation does not have solutions where both x and y are integers.

Here we have the following quadratic equation:

2x^2 + 5y^2 = 14

We want to check that we can't solve this equation with x and y integers, to see that, we can start by isolating one of the variables:

2x^2 + 5y^2 = 14

5y^2 = 14 - 2x^2

y^2 = (14 - 2x^2)/5

y = ±√((14 - 2x^2)/5)

Now, trivially:

(14 - 2x^2)/5

Is not an integer for any integer value of x, and this happens because 5 is not a factor of 14, thus, for any integer value of x the value of y that we get is non integer, then there aren't two integers that solve the quadratic equation.

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The numerator of the rational expression a/b + 2/b = ?/b is

(2 + a)

The numerator is solved by adding the fractions together

since the denominator is same, and in this case we have b, then the addition is easier.

The given expression is added below

= a/b + 2/b

= (a + 2) / b

hence ? = (a + 2)

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Answer:

25%

Step-by-step explanation:

Answer:

Sally ate 40% of the pizza and there was 60% of the pizza leftover.

Step-by-step explanation:

A percentage is a rate, number, or amount in each hundred.

There were 10 slices of pizza, she ate 4.

4/10 = 40/100 multiplied by 10, which would let us find the percentage.

Therefore, Sally ate 40% of the pizza and left 60% back.

Hope This Helps!

Answer:

-22x - 1

Step-by-step explanation:

(-12x+(-13)) - (10x+(-12))        

(-12x-13) - (10x-12)           Take away the plus sign since addition of a negative is            the same as subtraction.

(-12x-10x) + (-13+12)          Put like terms together.

-22x - 1                             Simplify

Answer:the answer is -22x-1 hope that helps

Step-by-step explanation:

The cost of each granola bar is $1.25 and the cost of each energy drink is $2.5 at Snack to go.

Let the cost of 1 granola bar be x and the cost of each energy drink be y.

Now we will form a system of equations from the given statements.

4 granola bar and 3 drink cot​ $12.50

4x + 3y = 12.50

2 granola bar and 5 drink cost​ $15

2x + 5y = 15

Now we will solve the simultaneous equations by elimination method.

multiplying the first equation by 1 and second equation by 2 and subtracting we get:

4x + 3y = 12.50

4x + 10y = 30

-7y = -17.50

or, y = 2.5

At y= 2.5 , x = 15 - 12.5 = 1.25

Therefore the cost of the granola bar is $1.25 and the cost of the energy drink is $2.5 .

A system of equations is a collection of equations with one or more variables. Systems of equations have solutions that are either the variable mappings that satisfy each component equation or the intersections of all of these equations.

Systems of equations can be categorized based on the number of solutions. If there is at least one solution, a system is said to be consistent. If a consistent system only has one solution, it is independent.

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