please answer this question on algebraic fractions. explain step by step please.

Answer:

what percent of 60 is 45, = 45/60 = x/100 = 75%,  16 is 20% of what number = 16/x = 20/100 = 80 not 75,  12.6 is 28%of what number = 45

Step-by-step explanation:

just trust me this would be to long to put on this space but if you have any queztions on why I ordered it this way just ask me.

Hence the given statement  that there exists an s such that for any r > s there exists an m 2 n such that for all n m we have x n < r is proved.

What is non-decreasing sequence?

Non-decreasing sequences are a generalization of binary covering arrays, which has made research on non-decreasing sequences important in both math and computer science.

Proof:

For n 2 N, let s = sup x n.

Then, there exists a m 2 N such that x m r for any r > s.

Given that x n is a non-decreasing sequence, we get x n r for any n > m.

As a result, there is a m 2 N such that for any n > m, x n r for any r > s.

Hence proved.

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A right rectangular prism can be used to simulate an aquarium. Its measurements are 14 by 7 by 4 inches. If there are 153 cubic inches of water in the aquarium, There is a 61 % empty space.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The volume of the aquarium is;

V=14 × 7 × 4 = 392 inch³

The % by which the container is empty is found as;

\(\%Empty= \frac{392-153}{392} \times 100 \ \\\\ \%Empty= \frac{239}{392} \times 100 \\\\ \%Empty= 61\%\)

Hence, there is a 61 % empty space.

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Answer:

4.22m.

Step-by-step explanation:

Using Pythagoras theorem:

7.5^2 = h^2 + 6.2^2

h^2 = 7.5^2 - 6.2^2

h^2 = 17.81

Height h= 4.22.

It's important to note that the logarithm function is defined only for positive values of x.  f(10) = log(10) ≈ 1.000.

To evaluate f(x) = log(x) at a given value of x, you need to input that value into your calculator and then apply the logarithm function to it. For example, let's say you want to evaluate f(x) = log(x) at x = 10. Here's how you would do it:

1. Input 10 into your calculator.
2. Press the "log" button to apply the logarithm function.
3. Your calculator should display the result, which is approximately 1.000 (rounded to three decimal places).

So, f(10) = log(10) ≈ 1.000.

It's important to note that the logarithm function is defined only for positive values of x. If you try to evaluate f(x) = log(x) at a negative value of x, your calculator will give you an error message.

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According to the given tangent of the circle and angle, the value of x is approximately 38.67.

In geometry, a tangent of a circle is a straight line that intersects the circle at exactly one point, which is known as the point of tangency. The tangent line is perpendicular to the radius of the circle at the point of tangency.

An angle is a geometric figure formed by two rays that share a common endpoint, known as the vertex. Angles are usually measured in degrees or radians and are commonly used to describe the direction or orientation of lines, shapes, or objects in space.

we do know that the angle between the tangent and the radius drawn to the point of tangency is 90 degrees. We can use this fact to set up an equation and solve for x:

(3x - 26) + 90 = 180

3x + 64 = 180

3x = 116

x = 38.67

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Answer:

minium

Step-by-step explanation:

Answer: x=3°

Step-by-step explanation:

m∠QSR=180°-112°

Hence,

(180°--112°)+(12x+4°)+(25x-3°)=180°

180°--112°+12x+4°+25x-3°=180°

-111°+37x=0

-111°+37x+111°=111°

37x=111°

Divide both parts of the equation by 37:

x=3°

The triangle ABC has a surface area of 17.7 square units. Rounding to the nearest tenth of a square unit,

Heron's Formula can be used to calculate the triangle ABC's area. The equation reads as follows:

A = √[s(s-a)(s-b)(s-c)]

Where s is one-half of the triangle's circumference and a, b, and c are its three sides.

By summing the triangle's sides, we can determine the perimeter:

P = a + b + c

The formula below is used to get the other half of the perimeter.

s = P/2

For the triangle ABC, we have the sides a=3, b=5, and c=4.

Therefore, half of the perimeter is s = 8.

Now, Heron's formula can be used to determine the triangle ABC's surface area:

A = √[s(s-a)(s-b)(s-c)]

= √[8(8-3)(8-5)(8-4)]

= √[8(5)(3)(4)]

= 17.7 square units

Therefore, the triangle ABC has a surface area of 17.7 square units, Rounding to the nearest tenth of a square unit.

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To determine the probabilities, we need to use the standard normal distribution table or a calculator that has this function. The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

(a) P(−0.79 ≤ z ≤ −0.57) = We need to find the area under the standard normal distribution curve between z = -0.79 and z = -0.57. Using a standard normal distribution table or calculator, we find this probability to be 0.0767.
(b) P(z > 1) = We need to find the area under the standard normal distribution curve to the right of z = 1. Using a standard normal distribution table or calculator, we find this probability to be 0.1587.

(c) P(z ≥ −3.36) = We need to find the area under the standard normal distribution curve to the right of z = -3.36 (or the area to the left of z = 3.36, which is the same thing since the standard normal distribution is symmetrical). Using a standard normal distribution table or calculator, we find this probability to be 1.

(d) P(z < 4.96) = We need to find the area under the standard normal distribution curve to the left of z = 4.96. Since this value is greater than any z-score on the standard normal distribution table, we can say that this probability is extremely close to 1 (or practically 1).


To find the probabilities for a standard normal distribution, you can use a z-table or an online calculator based on the given intervals, rounding to four decimal places:

(a) P(-0.79 ≤ z ≤ -0.57) = P(z ≤ -0.57) - P(z ≤ -0.79) = 0.2843 - 0.2148 = 0.0695
(b) P(z > 1) = 1 - P(z ≤ 1) = 1 - 0.8413 = 0.1587
(c) P(z ≥ -3.36) = 1 - P(z < -3.36) = 1 - 0.0004 = 0.9996
(d) P(z < 4.96) = 0.9999 (since the probability of z > 4.96 is extremely small)

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Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope / gradient

c is the y intercept

y = 3x + 7

Comparing this equation with the general form above

Gradient of the line = 3

2y - 6x = 8

Divide both sides by 2

We have

y - 3x = 8

To make y the subject move 3x to the right side of the equation

That's

y = 3x + 8

Comparing with the general form above that's y = mx + c

The gradient = 3

y = 3x + 7

A(2 , y ) , B( x , 4)

Since they lie on the line we can substitute their values into the equation to find the missing points

For A(2 ,y)

We have

y = 3(2) + 7

y = 6 + 7

For B( x , 4)

4 = 3x + 7

3x = 4 - 7

3x = - 3

Divide both sides by 3

Hope this helps you

Answer: 4/6

1. Subtract 8/6 by 4/6.

4/6 + 4/6 = 8 is the same as:

Notice: You don't change the denominator if your adding or subtracting.

That's why 4 + 4 = 8 is the same as 4/6 + 4/6.

Answer:

6b + 8 = 7

Step-by-step explanation:

The proper translation of the sentence is 6b + 8 = 7.

Solving for b, we get 6b = -1 and b = -1/6

How is "6 - 0" part of this problem?  

The following statements that are true four years from now, in the year 2024 are the Thrift segment will demand 7,745 thousand units and the Core segment will demand 9,779 thousand units.

Demand in economics refers to a consumer's readiness to pay a particular price for goods and services as well as their desire to buy them. Demand for a good or service typically declines when its price goes up. Demand describes the consumer's desire and willingness to purchase a good or service at a specific time or over an extended period of time. Additionally, consumers must be able to afford the items they want or need based on their budgeted disposable income. Demand therefore has an impact on market expansion and economic growth.

Given

The following statements that are true four years from now, in the year 2024 are:

The Thrift segment will demand 7,745 thousand units.

The Core segment will demand 9,779 thousand units.

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\(\begin{aligned} \boxed{\tt{ \green{\cos = \frac{front \: side}{hypotenuse}}}} \\ \ \\ \cos(U) &= \frac{ST}{SU} \\& = \frac{8}{10} \\ &= \bold{\green{\frac{4}{5}}} \\ \\ \rm{\text{So, the value of cos(U) is}\: \bold{\green{\frac{4}{5}}}} \\ \\\small{\blue{\mathfrak{That's\:it\: :)}}} \end{aligned}\)

Whole number are actual counting number except for zero. Example of whole numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9. Generally, whole numbers don't have fraction.

Integers are similar to whole number with no fractions but negative numbers are also included examples include - 5, -4. -3, -2, -1, 0, 1, 2, 3, 4, 5

Rational numbers are formed by dividing 2 integers. Rational number can be represented as x/y where y is not = 0. The decimal of rational number have an end . example of rational numbers are -3/2, - 6.75, 1/2 etc

Natural numbers are number we can count .

Therefore the number - 6.75 is best regarded as a Rational number . -6.75 can be represented as 27/4.

a) In this example, 56, though a sample, is the whole, not the part because it represents the total number of survey participants.

b) The percentage of the New Yorkers who said "having new experiences" was the most important was 0.36.

A sample is a group of people, objects, or items taken from a larger population to measure the findings about a population.

Sample statistics are used to make generalizations about the whole population.  Samples should be representative of the population.

Sample participants for the survey = 56

Participants who felt "having new experiences" was most important = 20

Participants who felt "good health" was most important = 16

Participants who said "a successful career" was most important = 14

The percentage of the New Yorkers who said "having new experiences" was the most important was 35.71% (20/56 x 100)

Thus, as a group, the sample size of 56, represents the whole.

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Answer:

4x<1000

Step-by-step explanation:

Since each book costs $4, and Amanda wants to spend less than $1,000, the inequality is 4x<1000.

The coordinate of B is (-3, -3.5).

Let's use this concept to solve the problem at hand. We know that M is the midpoint of line segment AB, which means that the distance from A to M is equal to the distance from M to B. We can use this information to set up an equation:

distance from A to M = distance from M to B

We can calculate the distance between two points using the distance formula:

distance between points (x1, y1) and (x2, y2) = √[(x2 - x1)² + (y2 - y1)²]

Plugging in the given values, we get:

distance from A to M = √[(0 - (-7))² + ((-2) - 1)²] = √[49 + 9] = √58

Let the coordinate of B be (x,y). Using the distance formula, we can calculate the distance from M to B:

distance from M to B = √[(y - 0)² + (x - (-2))²]

Setting up the equation, we get:

√[(y - 0)² + (x - (-2))²] = √58

Squaring both sides, we get:

(y - 0)² + (x + 2)² = 58

Expanding the squared terms, we get:

y² + x² + 4x + 4 = 58

Simplifying, we get:

x² + y² + 4x - 54 = 0

Now we have an equation with two variables, x and y. We need another equation to solve for both variables. Since we know that the midpoint of AB is (-2,0), we can use this information to set up another equation:

midpoint of AB = (1,-7) + (x,y) / 2

Simplifying and rearranging, we get:

2x - 1 = -4

2y + 7 = 0

Solving for x and y, we get:

x = -3

y = -3.5

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\(1:500,000 = 8 : 8*500,000 = 8:4,000,000\\4,000,000 cm = 40 km\)

Answer:

85%

Step-by-step explanation:

Let’s identify all the outcomes less than 10, that would be 2-9

The number of times the die was rolled is obtainable by adding all the frequencies ;

That would be ;

3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1 = 100

Now let’s add the frequencies of results which are less than 10;

That would be the frequencies of the numbers 2-9;

Thus, we have;

3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 = 85

The required probability of rolling a number less than 10 = 85/100 = 0.85 which to the nearest percent is 85%

Answer:

  4. See attached

  5.  D. C(8) = 22

Step-by-step explanation:

4. You want the graph of g(x) = -1/3x +5.

5. You want the functional form of the expression telling you the cost of 8 gallons of gas is $22, where C(x) represents the cost of x gallons.

The +5 in the equation g(x) = -1/3x +5 is the y-intercept. It tells you the point y=5 on the y-axis is on the line you want to graph.

The -1/3 in the equation is the slope of the line. This ratio tells you the line drops 1 unit for each 3 units to the right. That is, points (3, 4), (6, 3), (9, 2) will be on the line.

The graph is shown in the attachment.

The problem statement tells you C(x) is the cost of x gallons. That is, ...

  C(gallons) = dollars

Substituting the given values for gallons (8) and dollars (22), you have ...

  C(8) = 22

Answer:

A

Step-by-step explanation:

3 + (-7) + 2/5 + (-1/5)

Answer:

B) -34

Step-by-step explanation:

6x - 4

x = -5

6(-5) -4 = -30 - 4 = -34

Answer:

x + y - xr = 0......x - xr = -y.....-x + xr = y....not sure if this is right...not sure if u set it equal to 0

The value of y = x(r -1)

Given expression is : x+y-xr

Now, on rearranging the terms of the expression we get,

x -xr + y

Now, we put it equal to zero to find the value:

x -xr + y = 0

⇒ y = xr -x (The signs changes on moving from left-hand side of the equation to the right hand side)

⇒ y = x(r -1)

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Step-by-step explanation: