Find three consecutive numbers such that the sum of twice the first, three times the second and four times the third togetherbmakes 191.​

The area of nickel is 353.0 mm²

The area of a dime is 248.8 mm²

The area of a quarter is 471.4 mm²

Given that,

The diameter of a nickel, a dime, and a quarter are 21.2 mm, 17.8 mm, and 24.5 mm, respectively.

Diameter = 2r (r=radius)

or, r = d/2

so, the Radius of a nickel, a dime, and a quarter are 10.6 mm, 8.9 mm, and 12.25 mm, respectively.

Thus, the area of a nickel, a dime, and a quarter => A= πr²

So, the area of the nickel = 3.14*10.6*10.6 = 353.0 mm²

The area of the dime = 3.14*8.9*8.9 = 248.8 mm²

The area of a quarter = 3.14*12.25*12.25 = 471.4 mm²

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Answer:

Step-by-step explanation:

from the form we know, 10/2=15/3=45/9=5.so we need select the second choice, the number of group 50 dollar is 50/5=10

the anwser is second choice, fill 10 in blank.

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Therefore because of this, the answer to the speed problem is that a family can travel 31.875 miles in 3/4 of an hour.

Speed is a tempo that is determined by the distance an entity travels in a predetermined period of time. Numerous methods exist for measuring speed, including miles per hour, laps per minute, and meters per second. The measurements of speed, distance, and time are related. The relationship can be expressed in three different ways:

D = RT, R = DT, & T = DR.

Here,

We are given that

Distance drives by a family=4[tex]\frac{1}{4}[/tex] miles

Time = 1/10

We have to find the rate of speed in miles per hour.

The speed formula will be used to get the velocity in miles per hour.

Distance traveled in a given amount of time equals speed.

=> Speed = 17/4 * 10

=> Speed = 42.5

So, using the calculation, we arrive at 42.5 miles per hour.

The miles traveled in 3/4 miles are therefore:

Distance is calculated as speed times time,

therefore 42.5 * 3/4 would equal 31.875 miles in distance.

Because of this, the answer to the speed problem is that a family can travel 31.875 miles in 3/4 of an hour.

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When Jim's model car ownership is compared to Terrence's model car ownership, the ratio is 8:6, Jim possesses 48 model vehicles.

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, according to the definition given by the term in its most basic form.  When two terms are placed on each side of an equal sign, a simple equation is used to show their relationship. The four mathematical operations of addition, subtraction, multiplication, and division may be used singly or in combination in simple equations.

given

You are aware that Jim and Terrence both own four model automobiles in comparison to three owned by Jim.

Let's assume that Jim owns Jim has the following number of model cars, then you can answer the task as follows:

4/3 = x/36

x = (4* 36)/ 3

x = 48

Therefore, Jims owns 48 model cars.

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Answer:

3 minutes

Step-by-step explanation:

30÷1.5=20

1h=60mins

60÷20=3minutes

If two even integers are multiplied, then the product is also even. Hypothesis: Two even integers are multiplied. Hypothesis starts after the word "if". Conclusion starts after the word "then".

The sentence that comes just after the word "if" in a conditional statement is known as the hypothesis. The sentence that comes after the word then in a conditional statement is the conclusion.

If you earn high grades, the portion that follows the "if" is referred to as a hypothesis, and if you get good grades, the part that follows the "then" is referred to as a conclusion.

An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.

p → q

Read this: if p, then q.

If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue.

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If two even integers are multiplied, then the product is also even. Hypothesis: Two even integers are multiplied. Hypothesis starts after the word "if". Conclusion starts after the word "then".

The sentence that comes just after the word "if" in a conditional statement is known as the hypothesis. The sentence that comes after the word then in a conditional statement is the conclusion.

If you earn high grades, the portion that follows the "if" is referred to as a hypothesis, and if you get good grades, the part that follows the "then" is referred to as a conclusion.

An if-then statement, also known as a conditional statement, is a set of hypotheses followed by a conclusion.

p → q

Read this: if p, then q.

If the hypothesis is correct but the conclusion is untrue, a conditional statement is false. If the statement in the example above read, "If you achieve good marks then you will not get into a good college," it would be untrue.

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The total cost of an item that sells for $12 is $12.96

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

Selling price = $12

Sales tax = 8%

The total cost of an item that sells for $12 is then calculated as

Total cost = Selling price * (1 + Sales tax)

Substitute the known values in the above equation, so, we have the following representation

Total cost = 12 * (1 + 8%)

Evaluate

Total cost = 12.96

Hence, the total cost is $12.96

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The net of the display consists of one rectangle and two right triangles.  168 ft² is needed to make a display case. Hence option D is the correct option.

What is surface area?

The size of a patch on a surface is determined by its area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a form or planar lamina.

The surface area of the triangular prism is the display area of the glass.

The surface area of a triangular prism consists of one rectangle and two right triangles.

The length of the rectangle is (10ft + 6 ft + 8ft) = 24ft.

The width of the rectangle is 5 ft.

The area of a rectangle is the product of length and width.

The area of the rectangle is 24ft × 5ft = 120 square ft

The length of the base of the triangle is 8 ft and the height is 6ft

The area of the triangle is 1/2 × base × height = 1/2 × 8 × 6 = 24 square ft

The display area is 120 square ft + 2 ×24 square ft = 120 + 48 = 168 ft².

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The number of mole O₂ is 2. Since the subscript of oxygen denotes the number of moles.

What is a diatomic element?

Diatomic molecules—so named because they only contain two atoms of the same or different chemical elements—are molecules that are made up of two atoms. A diatomic molecule is considered to be homonuclear if it contains two atoms of the same element, such as oxygen (O₂) or hydrogen (H₂).

One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.

The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.

The subscript part of a chemical compound represents the number of moe of the chemical compound. The subscipt of O₂ is 2. Thus the number of mole is 2.

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The ratio of the size of the dollhouse item to the doll house is 14 : 9.

What are ratios?

When b does not equal 0, an ordered pair of numbers a and b, represented as a / b, is said to be a ratio.

                        A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as 1: 3 (for every one boy, there are three girls), which means that 14 of the population is made up of boys and 34 of the population is made up of girls.

                             The ratio is a mathematical expression that can be used to represent one item as a percentage of another.

First convert feet to inches

1 feet = 12 inches

12 x 6 = 72 inches

dollhouse item : doll house

112 : 72

14 : 9

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To compute the sum of dollar amounts that are not whole numbers and to compute products of dollar amounts that are not whole numbers you can use the standard arithmetic operation and place decimal point correctly.

To compute the sum of dollar amounts that are not whole numbers, such as $5.89 and $1.45, you can use the standard arithmetic operations of addition, just like you would with whole numbers.

$5.89 + $1.45 = $7.34

When adding or subtracting decimal numbers, you align the decimal points and perform the operation column by column, just like you would with whole numbers.

To compute products of dollar amounts that are not whole numbers, such as 4 pounds of beef at $5.89 per pound, you can use the standard arithmetic operation of multiplication.

4 × $5.89 = $23.56

When multiplying decimal numbers, you multiply as you would with whole numbers and place the decimal point in the product to the right of the last digit in the product that corresponds to the number of decimal places in the original factors.

In both examples, it is important to pay attention to the placement of the decimal point and to use proper arithmetic operations. In general, it is important to consider the decimal places when working with decimal numbers and ensure that the final result is rounded to the appropriate number of decimal places, if necessary.

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Answer: The vertex form of a parabola is:

y = a(x - h)^2 + k

Where (h, k) is the vertex of the parabola.

In this case, we are given that the vertex is (1, -2), so the equation of the parabola will be:

y = a(x - 1)^2 - 2

We know that the parabola passes through (0, -5), and it is given by the equation.

-5 = a(0 - 1)^2 - 2

so,

a = 1/3

The final equation of the parabola is :

y = 1/3(x-1)^2 - 2

so, the points that are on the parabola are:

A. (2,-3)

B. (-1,-14) is not true,

y = 1/3 (-1 -1)^2 - 2 = -1/3 + 2 = 1/3 ≠ -14

C. (3,2)

D. (2,-5)

E. (3,-14) is not true

y = 1/3 (3-1)^2 - 2 = -4/3 ≠ -14

F. (-2,7) is not true

y = 1/3 (-2-1)^2 - 2 = -7/3 + 2 = -1/3 ≠ 7

Therefore A, C and D are the correct answers.

Step-by-step explanation:

The total number of child ticket and adult ticket that were sold was: 270 and 810 respectively.

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The slope of the linear equation that passes through the two given points is 1/7.

A general linear equation can be written in the slope-intercept form as:

y = a*x + b

Where the coefficients are:

a: the slope.

b: the y-intercept.

If a line passes through two known points (x₁, y₁) and (x₂, y₂), then the slope is equal to:

a = (y₂ - y₁)/(x₂ - x₁)

In this case, we know that the line passes through (-10, -9) and (-3, -8), then the slope of this linear equation will be:

a = (-8 + 9)/(-3 + 10) = 1/7

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The goal of elimination is to remove one of the variables by combining the equations together.

Let's say we have an equation with 3 variables:

a + b + c = 0

The goal of elimination is to remove one of the variables by combining the equations together.

Multiply the first equation by a number, n, such that nb + nc = 0

For example:

Let n = -2

-2b + -2c = 0

Add the two equations:

a + b + c = 0

-2b + -2c = 0

a - b = 0

Solve for b:

a - b = 0

b = a

Therefore, the final equation is:

a + a + c = 0

2a + c = 0

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The total profit P in terms of x can be expressed as

P(x) =  (a - c) (a/(x-c) + b(95-x))

The selling price that will maximize profit is the positive constant, a in dollars.

To find the selling price that will bring a maximum profit, we need to find the derivative of the profit function P(x) and set it equal to 0.

The profit function P(x) is given by P(x) = nx - nc,

where n is the number of backpacks sold and c is the cost to manufacture and distribute each backpack.

Substituting the given expression for n into the profit function gives:

P(x) = (a/(x-c) + b(95-x))x - c(a/(x-c) + b(95-x))

P(x) = (a - c) (a/(x-c) + b(95-x))

To find the selling price that will maximize profit, we need to find the critical points of P(x) by taking the derivative of P(x) with respect to x and setting it equal to 0:

P'(x) = (a - c) (-a/(x - c)² - b) = 0

Thus P'(x) = 0 at c = a or (x - c)² = -a/ b

a and b are positive constants, so -a/ b is negative but (x - c)² is never negative, so it is not a possible solution.

So only solution is c = a, that is for maximum profit selling price, c should be equal to the positive constant, a.

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to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.

[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{(-4)}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-2)}}} \implies \cfrac{3 +4}{4 +2} \implies {\large \begin{array}{llll} \cfrac{7 }{ 6 } \end{array}}[/tex]

This is a triangle whose three angles are in the ratio 1:2:3 and respectively measure 30° ( π/6), 60° ( π/3), and 90° ( π/2) and the sides are in the ratio 1:√3: 2.

These triangles are also known as special right triangles, such as 30-60-90 triangles, and 45°-45°-90° triangles. Among all right triangles, the 45°–45°–90° degree triangle has the smallest ratio of the hypotenuse to the sum of the legs, √2/2 and the greatest ratio of the altitude from the hypotenuse to the sum of the legs, √2/4.

The 30°-60°-90° triangle is the right triangle whose angles are in an arithmetic progression. The proof of this fact is simple and follows the fact that if α, α + δ, α + 2δ are the angles in the progression then the sum of the angles 3α + 3δ = 180°. By dividing by 3, the angle α + δ must be 60°. The right angle is 90°, and the remaining angle is 30°.

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The domain of the equation is (A) All real numbers and the range of the equation is (A) y≥-4.

The range of values that can be plugged into a function is known as its domain. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

In order to identify the values of the independent variable x and acquire the domain, we simply solve the equation y = f(x). Simply put, x=g(y) will calculate the function's range after we identify g's domain (y).

The domain of the equation is (A) All real numbers because the value of x is all real numbers.

and the range of the equation is (A) y≥-4, because the value of variable y is greater than and equal to -4 for all values of x.

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Answer:

y(2-10)2(12+3x)...

Step-by-step explanation:

first make groups of the numbers

y2 with 10 y they both have y in common

so you can write it as y(2-10)

after 24 with 6x they both have 2in common (2×12=24)

so you can write it as 2(12+3x)

and you can do the rest with the same technique

In mathematics, the symbol " σ" is "σ" (sigma) which is commonly used to represent the sum of a set of values.

It is used to indicate that a series of values are to be added together. For example, the notation "Σx" is read as "the sum of x" and it means to add all values of x together. It is often used in mathematical analysis, statistics, and physics.

For instance, in statistics, the symbol "σ" is used to represent population standard deviation, which is a measure of the dispersion of a set of data points from the mean.

In probability theory, the symbol "σ" is also used to represent the standard deviation of a random variable.

In general, the specific meaning of the symbol "σ" depends on the context in which it is used.

It is also known as Summation notation.

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The four consecutive odd integers = 15, 17, 19, 21

Positive, negative, and zero are all examples of integers.

The Latin word "integer" signifies "whole" or "intact."

As a result, fractions and decimals are not included in integers.

All whole numbers and negative numbers are considered integers.

This means that if we combine negative numbers with whole numbers, a collection of integers results.

An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.

Here are a few instances of integers: -5, 0, 1, 5, 8, 97, and 3,043. a collection of numbers, denoted by the symbol Z.

According to our question-

x + x + 6 = -(x + 4) + 55

x + x+6 = (-x - 4) + 55

2x + 6 = -x + 51

Collect like terms

2x + x = 51 - 6

3x = 45

x = 15

Second integer = x + 2 = 15 + 2 = 17

Third integer = x + 4 = 15 + 4 = 19

Fourth integer = x + 6 = 15 + 6 = 21

The four consecutive odd integers = 15, 17, 19, 21

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The pair of linear equations 3x + 2y = 5 and 2x + 3y = 7 has no solution.

To solve these equations, we will use the method of elimination.

We start by multiplying the first equation by 2:

6x + 4y = 10

Now we add both equations together:

6x + 4y + 2x + 3y = 10 + 7

Combining like terms, we have:

8x + 7y = 17

We can now solve for x by dividing both sides by 8:

x = 17/8

Now we can substitute this value of x into either of the original equations to solve for y:

3(17/8) + 2y = 5

51/8 + 2y = 5

2y = 5 - 51/8

2y = -41/8

y = -41/16

However, this value for y is not a real number, so there is no solution for the pair of linear equations.

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Answer:

thats by step overr.ic. yttt. .

Answer:

x=0

Step-by-step explanation:

The general form of the equation of y-axis is x = 0. hence, the equation of line parallel to the y-axis is given by the equation: x = k.

Odd degree polynomials can have no real roots.

A polynomial of even degree can have any number from 0 to n distinct real roots. A polynomial of odd degree can have any number from 1 to n distinct real roots.

polynomials

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division.

Real root

A real root is a solution to an equation which is also a real number.

Real number

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5) and irrational numbers such as √3, π(22/7), etc., are all real numbers.

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Answer:

Don't join the points with lines

Make the numbers on the vertical axis larger

Label the axes

Step-by-step explanation:

Make all the points different colours → I don't think that would be useful. Unless the teacher asked you to in class, it's probably not a good answer.

Put the title on the bottom → Same. Unless the teacher asked you to in class, it's not really useful and probably not a good answer.

Don't join the points with lines → Teachers ask indeed not to do this, so I think it's a good answer. Most of the time they prefer students to use curves (hope it's the good translation).

Make the numbers on the vertical axis larger → Since both axes represent notes, it would be easier to compare with the same scale. If that's what the teacher meant, then I think it's correct.

Label the axes → This one is interesting, because right now we don't what they represent at all.

Hope it helps, good luck for your exercices :)

Answer:

70% Decrease

Step-by-step explanation:

70% Decrease

The percentage decrease in price of an item is 30 %

Step by step solution:

The percentage decrease in price = [(original value - decreased value)/original value]*100

percentage decrease[tex]=\frac{(original value - decreased value}{original value} * 100[/tex]

percentage decrease=[tex]=\frac{60 - 42}{60} *100[/tex]

[tex]=\frac{18}{60} *100[/tex]

[tex]=0.3 *100[/tex]

30 %

Therefore, the percentage decrease in price of an item is 30 %

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Answer:

The slope is 0.75.

The equation is y=0.75x-2

Step-by-step explanation: