In the expression 34% of 60, what
operation does the word "of" mean?

Answer:

3.6 miles

Step-by-step explanation:

Given information from the question,

[tex]\frac{1}{6} \ hour = \frac{3}{5} \ miles\\ 1 \ hour = \frac{3}{5} / \frac{1}{6} \ miles\\1 \ hour = \frac{18}{5} \ or\ 3\frac{3}{5} \ or \ 3.6 miles[/tex]

Answer:

Velocity is the term to illustrate speed

Step-by-step explanation:

velocity = distance ÷ time

velocity = 3/5 ÷ 1/6

= 18/5 m/h

Answer:

y = 72 and x = 36

Step-by-step explanation:

So firstly, the outside angle is 108, right? And the total of all angles in a triangle is 180 degrees. So:
180 - 108 = 72
Then the other angle, angle x, is also 72 degrees. That's because they are supplementary angles.
Now that we know x = 72 degrees. To find the y angle, you add 72 and 72 together. Which is 144.
Then you do 180 - 144. Which is 36. So, x = 72 and y = 36

I hope it helped you!

the length of the altitude drawn to the hypotenuse. The triangle is not drawn to scale is 4√5

What is altitude Class 9?

The altitude of a triangle is the perpendicular line segment drawn from the vertex to the opposite side of the triangle.

In geometry, a line segment is bounded by two distinct points on a line. Or we can say a line segment is part of the line that connects two points. A line has no endpoints and extends infinitely in both the direction but a line segment has two fixed or definite endpoints.

Let's call it x

According to Euclidean theorem x^2 = 5×16

x^2= 80 and

x = 4√5

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The difference between the areas is 481 square miles.

Given information:

Alaska is 873 sq miles in size, as well as Rhode Island, is 392 sq miles in total.

To determine the difference between the areas in square miles, the following calculation must be performed: subtract Alaska from Rhode Island square miles then we get:

Let X be the total difference:

873 - 392 = X

481 = X

Therefore, the difference in the areas in square miles is 481.

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The terms of the expression are 5x², 9x and 6

Algebraic expressions are described as expressions that are composed of variables, factors, constants, coefficients and terms.

They are also known to be made up of arithmetic operation, such as;

It is also important to note that terms in algebraic expressions are seen as summands in a sum that may be different only by a actor.

They can be regrouped by the addition of  their coefficients. Like terms are those that has the same variables to the same powers or coefficients.

The types are;

5x², 9x and 6

Thus, they are 5x², 9x and 6

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Answer:

208

Step-by-step explanation:

60 percent of 520 is 312

520 subtract 312 is 208

Answer:

208

Step-by-step explanation:

(520)-60% of 520

(520)-3×104

520-312

=208

Hope it helps you

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Answer:

[tex]y=\sqrt{10}[/tex]

Step-by-step explanation:

Using the geometric mean theorem, [tex]y=\sqrt{(2)(5)}=\sqrt{10}[/tex].

The ratio for cos (cosine) of angle θ is: cos(θ) =  adjacent side of θ / hypotenuse

We know that in right triangle the cosine of an angle is nothing but the ratio of the side adjacent of  given angle to the hypotenuse.

In right tirnagle for an angle θ, the ratio for cosine of angle θ would be:

cos(θ) =  adjacent side of θ / hypotenuse

Consider following right triangle PQR with angle PQR = 90 degrees

Here, PR is the hypotenuse.

Assume that angle QPR measure α degrees and angle PRQ measures θ degrees.

By definition of cosine of angle θ,

cos(θ) =  adjacent side of θ / hypotenuse

cos(θ) =  QR / PR

And by definition of cosine of angle α,

cos(α) =  adjacent side of α / hypotenuse

cos(α) = PQ / PR

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Answer:

A = 80 cm²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 4 and h = 2 , then

A = 4 × 2 = 8 cm²

there are a total of 10 tiles required ( 5 black and 5 white ) , then total area is

A = 10 × 8 cm² = 80 cm²

Therefore ,we can conclude from answering the offered question that the region of the circle, triangle, and square is where the darkest area is. A=210-123 = 87 square units

A triangle is a polygon since it has three sides plus three vertices. It is one of the basic geometric forms. An illustration of a triangle with the sides A, B, and C is Triangle ABC. A distinct plane or triangle in Geometrical are discovered when the three aspects are not collinear. Three sides & three corners define a triangle as a polygon. The triangle's corners are defined as the locations where three sides converge. 180 degrees is the result of multiplying three triangle angles.

Here,

The total of the circle, triangle, and square's surface areas.

The region of the darkish area is comprised of the areas of the Circle, Triangle, and Square.

=>A = 210 – 123 = 87 square units

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[tex]\angle CBE[/tex] and [tex]\angle DEB[/tex] are same-side interior angles.

If the horizontal distance between Tyler and the kite is 600 feet then the kite is 80 ft above the ground.

Pythagoras's Theorem is a fundamental result in Euclidean geometry that states that in a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse. This can be mathematically represented as:

[tex]c^2 = a^2 + b^2[/tex]

Where c is the length of the hypotenuse, and a and b are the lengths of the legs of the triangle.

The theorem is named after the ancient Greek mathematician Pythagoras, who by tradition is credited with its discovery and proof, although it is often argued that the theorem may have been known to the Babylonians and Indians over a thousand years earlier.

Pythagoras's theorem is widely used in mathematics and physics, especially in trigonometry and in the study of triangles and their properties, and it's also used to find the distance between two points in a two-dimensional space, for example, in cartesian coordinates.

Hypotenuse2 = Perpendicular2 + Base2

c2 = a2 + b2  

We apply the Pythagorean Theorem to determine the kite's height, h

the problem can solve if the kite is 60feet

[tex]h^2 = 100^2 - 60^2\\h^2 = 10000 - 360\\h^2 = 6,400\\h=\sqrt{6400} \\h=80[/tex]

h =80 ft (we take the positive solution since the height can not be negative number)

The kite is 80 ft above the ground.

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Answer:

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

Let the cost of a hotdog be h and pretzel be p.

Set up equations as per question:

Divide the second equation by 2, then subtract from the first one:

Now find the value of p:

Hotdog costs $2 and pretzel costs $0.75.

To determine the number of solutions in a linear system without solving it, check their slopes. If the slopes are different, there is one solution; if the slopes are the same but the equations are different, there is no solution; if the equations are exactly the same, the solutions are infinite.

The 3  possible solutions of a system of equations are:

- Unique or one solution

- Infinite solutions

- No solution

In case of   a system of linear equations, we can determine the type of its solution as follows:

- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equations will have one solution.

Example:

y = -3x - 2

5x + 2y = 15

The slopes of the line equations are different, hence the solution is unique

-  If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.

Example:

2x + 2y = 8

y = -x -5

These are parallel lines, hence, there is no solution

- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.

Example:

2x + 2y = 8

4x = -4y + 16

Those two equations are exactly the same. Hence, the solutions are infinite.

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The ball will reach a height of 3 feet at t = 5/4 seconds.

To find the time (t) when the ball reaches a height of 3 feet, we need to use the equation for the height of the ball: h = -16 [tex]t^2[/tex] + 40t + 5

We are given that the height of the ball is 3 feet, so we can set up the equation:

3 = -16[tex]t^2[/tex] + 40t + 5

Then we can solve for t by isolating t on one side of the equation and then solving for t:

3 = -16[tex]t^2[/tex] + 40t + 5

-5 = -16[tex]t^2[/tex] + 40t

16[tex]t^2[/tex] - 40t - 5 = 0

We can factor the left side of the equation:

(4t - 5)(4t + 1) = 0

So we have two possible solutions:

t = 5/4 or t = -1/4

However, the time cannot be negative, so the only valid solution is t = 5/4.

So the ball will reach a height of 3 feet at t = 5/4 seconds.

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40 percent price of the ring gone down due to a clearance sale

In mathematics, percent implies a relative value of any quantity. Generally, percent value expresses the hundredth parts of any given quantity. Sometimes, operator % is used to indicate a percent value.

From a given percent value we can determine the real value and percent value is calculated from the original data.

given, the original price of the emerald ring = $1730

after a clearance sale, the price of ring became = $1038

difference in price = $(1730-1038) = $ 692

hence, the price of the ring that gone down = $692

now, percent value of the price gone down = $692/$1730 × 100

                                                                          = 40%

hence, forty percent of the ring price gone down.

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Solving for x in the angle bisector which resulted to the proportion  x over 18 = 45 over 20 results to x = 40.5

In geometry, a line that divides an angle into two equal angles is referred to as an angle bisector.

By definition, a bisector is something that divides an object or a shape into two equal parts. A ray is said to be an angle bisector if it divides an angle into two equal portions of the same measure.

The division from angle bisectors gave rise to the proportion which is given by

x / 18 = 45 / 20

cross multiplying

x = 18 * 45 / 20

x = 40.5

hence x is solved to get 40.5

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The three type of solubility are highly soluble, sparingly soluble or insoluble.

The term solubility is defined as the maximum amount of a substance that will dissolve in a given amount of solvent at a specified temperature

Here we have to major three types of solubility are defined below.

As we all know that Temperature, pressure and the type of bond and forces between the particles are few among them, that are the 3 factors solubility depends on.

According to the concentration of solute dissolves in a solvent, the solutes are categorized into highly soluble, sparingly soluble or insoluble.

Here we have to know that if a concentration of 0.1 g or more of a solute can be dissolved in a 100ml solvent, then it is said to be soluble.

Where as the concentration below 0.1 g is dissolved in the solvent it is said to be sparingly soluble.  

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Three cards are chosen from a pack of 52 cards. what is the probability that they are not all the same color is 0.8824 or 88.24%

The likelihood or chance that a specific event will occur is represented by a probability.

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportion with a range of 0 to 1, or as percentages with a range of 0% to 100%.

Given that three cards are chosen from a pack of 52 cards.

There are 26 cards of each color (i.e. 26 cards are red color and 26 cards are of black color)

The probability of drawn first card of any one color is

P(1)= 26/52 = 1/2

The probability of drawn second card of same color is

P(2)= 25/51

The probability of drawn third card of same color is

P(3)= 24/50 = 12/25

The probability of having three cards are same color is

P = P(1)*P(2)*P(3)

P = 1/2 * 25/51 * 12/ 25

P = 6/51

So the probability that three cards are not all the same color is

P' = 1 - P

P' = 1 - 6/51

P' = (51-6)/51

P' = 45/51 = 15/17

P' = 0.8824

The likelihood that the three cards are not all red is roughly 0.8824, or 88.24%,

.

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The equivalent values to the given expressions are -

2/3 and 3/7 respectively.

Given are two expressions as -

1/3 + 1/3

5/7 - 2/7

The given expression are -

1/3 + 1/3

(1 + 1)/3

2/3

5/7 - 2/7

(5 - 2)/7

3/7

Therefore, the equivalent values to the given expressions are -

2/3 and 3/7 respectively.

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Answer: 35

Step-by-step explanation:

: i took this quiz before :)

Answer:

the answer is

The answer is

The answer is

The answer is 73

Step-by-step explanation:

The factors of (x^3 +  y^3) are ( x +  y )(x^2 - x . y +  y^2).

In order to find the factors of  (x^3 +  y^3), you need to apply the sum of cubes formula:

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

(x^3 +  y^3) = ( x +  y )(x^2 - x y +  y^2)

Therefore, in order to find the factor of the given expression, you just simply need to learn the sum of cubes formula.

Similarly, the difference of cubes formula is as follows:

(x^3 -  y^3) = ( x -  y )(x^2 + x y +  y^2)

Which gives factors of (x^3 -  y^3).

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Answer:

AROC = - [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

the average rate of change of g(x) in the closed interval [ a, b ] is

[tex]\frac{g(b)-g(a)}{b-a}[/tex]

here [ a, b ] = [ - 4, 5 ] , then

g(b) = g(5) = - 1 ← point (5, 1 ) on graph

g(a) = g(- 4) = 5 ← point (- 4, 5 ) on graph

average rate of change = [tex]\frac{-1-5}{5-(-4)}[/tex] = [tex]\frac{-6}{5+4}[/tex] = [tex]\frac{-6}{9}[/tex] = - [tex]\frac{2}{3}[/tex]

Answer:

Step-by-step explanation:

(9x-12)-(5x-7)=9x-12-5x+7=9x-5x-12+7=4x-5

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Answer:

Converting from degrees to radians is actually very simple, it is a one step unit conversion.All we need to know to solve this is that (π)radians=(180)degrees Therefore 135degrees⋅(π)radians180degrees=(135180)π radians =3π4 radians

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

1 ft= 12 inches

So 5ft = 60 Inches

4= 0.3

Thus, Its 60.3

There are 11 animals on a farm, some of which are goats, while others are ducks. The total number of legs on the ducks and goats is 34.

An expression, often known as an algebraic expression, is any mathematical statement that contains variables, numbers, and an arithmetic operation between them. For instance, the word m in the given equation is separated from the terms 4m and 5 by the arithmetic symbol +, as is the variable m in the expression 4m + 5.

In mathematics, an expression is referred to as an algebraic expression if it contains variables, constants, and algebraic operations (addition, subtraction, etc.). Expressions are made up of multiple terms.

Functions, variables, and numbers make up an expression (such as addition, subtraction, multiplication or division etc.) It is possible to contrast phrases and expressions.

There are 11 animals, and they have a combined total of 34 legs.

Set G and D to the number of goats and ducks, respectively.

Consequently, G = 11 - D when G + D = 11, and vice versa.

therefore 4G + 2D = 34

Using the value as a stand-in for G, we obtain 4(11 - D) + 2D = 34.

By expanding, we have 34 - 44 - 4 + 2D.

The answer is D = 5. Thus, G equals 6.

Proof (5 x 2) plus (6 x 4) equals 34.

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Answer: An increase of a population doubling every year can be modeled using repeated multiplication. The expression for the increase after five years would be:

2 * 2 * 2 * 2 * 2 = 2^5 = 32

This can also be written as an exponential expression, with 2 as the base and 5 as the exponent:

2^5 = 32

This notation expresses that 2 is multiplied by itself 5 times to get 32, which represents the population size after 5 years with the rate of doubling every year.

It's also worth mentioning that exponential notation is used to represent the quantity of growth (doubling every year) , and using exponents makes it easy to see how much the population has grown over a certain period of time.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2^5= 32

=2 x 2 x 2 x 2 x 2

= 2^5

= 32

The number of different ways is 7560 ways

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

Chiefs = 1

Supporting chiefs = 2

Members = 10

Inferior officers = 2

There are 10 members.

So, the number of ways to select a chief is 10

Now, there are 9 members left

The number of ways to select a supporting chief is then represented as

Supporting chief = ⁹C₂

Now, there are 7 members left

The number of ways to select an inferior officer is then represented as

Inferior officers = ⁷C₂

So, the total number of ways is

Ways = 10 * ⁹C₂ * ⁷C₂

Evaluate

Ways = 7560

Hence, the number of ways is 7560

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