Using the following conversions between the metric and U.S. systems, convert the measurement.
Round your answer to 6 decimal places as needed

1 meter = 3.28 feet
1 Liter = 0.26 gallons
1 kilogram = 2.20 pounds

0.828 oz=________cg

The compound ratio of natural number ratios 2 : 3 and 5 : 4 is equal to 5 : 6.

Herein we must determine a compound ratio, that is, the product of two ratios, whose definition is shown below:

For a : b and c : d, where a, b, c, d are natural numbers, the compound ratio is equal to (a · c) / (b · d).

If we know that a : b = 2 : 3 and c : d = 5 : 4, then the compound ratio is equal to:

r = (2 · 5) : (3 · 4)

r = 10 : 12

Finally, we simplify the resulting expression:

r = 5 : 6

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Answer:

Step-by-step explanation:

distance = [tex]\sqrt{(-5/2+1/2)^{2} +(9/4+3/4)^{2} }=\sqrt{13}[/tex]=3.61

The correct answer is 571 quotient and 1 is remainder.We can solve easily by partial quotients.

Partial quotients division is a deviation from the standard method. The divisor is multiplied with a number and the multiple obtained is deducted from the dividend. This multiple of the divisor is as close as possible to the dividend, that is less than or equal to the dividend.

Partial quotient division provides natural differentiation because we can have students solve at a level they are comfortable with and then we can challenge them to find a more efficient way. And this means using fewer steps and solve easily.

Now we solve

first 9 multiply with 500 so we get 4500. 5140-4500=640

then 9 multiply with 70 so we get 630. 640-630=10

then 9 multiply with 1 so we get 9.   10-9=1

Hence       500+70+1=571

And our remainder is 1.

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Answer:

1/30 of a mile per minute.

Step-by-step explanation:

8/4 = 2 miles per hour.

2/60 = 1/30 of a mile per minute.

Answer:

its the answer

Step-by-step explanation:

the answer to the question is the answer

hehe

Answer: free allah long live

Step-by-step explanation:

46564

Answer:

X > -20

Step-by-step explanation:

-10 - 9/2 x < 80

Move 10 to the other side

- 9/2 x < 80 + 10

Simplify

-9/2 x < 90

-9 x < 180

x > -20

(We switch the inequality sign if we are dividing with negatives)

Answer:

If we assume she runs around it once and since they tell us its a square: 27x4=108

Step-by-step explanation:

Answer:

Step-by-step explanation:

If Colton makes a guaranteed salary of $500 per week, and he is paid a commission of 10% on top of that for a total of $1075 in sales, he would make an additional $107.50 in commission (1075 x .1 = 107.5). In total, Colton would make 500 + 107.5 = $607.50 in a week where he made $1075 in sales.

From the given values and conditions, We need to form a equations and equate both sides to solve for the miles, The answer is 300 miles.

An equation is a statement of equality between two expressions. It typically includes numbers and mathematical operations such as addition, subtraction, multiplication, and division. For example, the equation 2x + 3 = 7 is a statement that the value of the expression 2x + 3 is equal to the value of 7. Equations can also include variables, which represent unknown values that can be solved for.

The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.

x= miles

60+0.6x=0.8x

0.8x-0.6x=60

0.2x=60

x=60/0.2

=300 miles

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It will take 9 seconds a pendulum that is 9 meters long to swing back and forth.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

WE are Given the expression of length L in feet of a pendulum to the time t in seconds that it takes to swing back and forth modeled as;

T = 2√L

Given

Length of the pendulum = 9 meters

Required Time (period)

Substitute the given value into the formula

T =  2√L

T =  2√9

T = 2  x 3

T = 6 seconds

Hence the period is 6 seconds

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If the measure of angle A equals pi over 6, the angle c equals 18, and the angle an equals 9, triangles may be formed.

You only need to apply the Triangle Inequality Theorem, which asserts that the sum of a triangle's two side lengths is always greater than the third side. A triangle will exist if this holds true for each of the three possible added side length combinations.

From the given information, we have that:

m<B = pi/6 = 30 degres

c = 10

b = 5

This shows that we can use the cosine rule to find the third side b of the triangle. Since all the sides are complete, hence we can use the information given to find just 1 triangle

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The measures of given figures are m∠ADC is 90 degrees and m∠DAC will be 34 degrees

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given m∠B= 57 degrees

m∠c= 51 degrees

segment AD bisects m∠BAC

then  m∠ADC we need to find.

As AD is perpendicular to BC, the angle of  m∠ADC is 90 degrees.

Given m∠B= 66 degrees

m∠BAD=34 degrees

Now we need to find m∠DAC

m∠DAC will be 34 degrees

Hence, the measures of given figures are m∠ADC is 90 degrees and m∠DAC will be 34 degrees

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Answer:

The first 5 prime numbers are 2, 3, 5, 7 and 11. Their LCM is 2310

Let x be the number of hamburgers sold, then the number of cheeseburgers sold can be represented as 2x. The total number of hamburgers and cheeseburgers sold is the sum of these two quantities, so we can write an equation:

x + 2x = 396

To solve for x, we can combine like terms on the left side of the equation:

3x = 396

Then we can divide both sides by 3 to get:

x = 132

So, the number of hamburgers sold on Saturday is 132.

Answer shown in bold

The non-bolded values to the left are not to be typed in the answer box. They're present to keep track of the values. In other words, you'll type "40" without quotes into the first box, then "19" without quotes in the second box, and so on.

========================================================

Explanations:

Let me know if you have any questions.

Answer:

-1

Step-by-step explanation:

Night: -4
Morning: -4 + 3 = -1

Answer: she checked out 9 nonfiction books

Step-by-step explanation:

18-9=9

Five vectors in Span (V₁ V₂) where V₁ = (8 2 7 ) and V₂ = (-6 4 0 ) is.

n(V₁ + V₂), n ∈ I, I = 1, 2, 3, 4, 5.

In mathematics, the set of all linear combinations of the vectors in S is referred to as the linear span, Denoted span(S), Either the intersection of all linear subspaces containing S, or the smallest subspace containing S, can be used to describe it. A vector space is therefore nothing more than the linear range of a set of vectors.

The vectors that are in the same span should be a multiple of the vectors

V₁ = (8 2 7 ), V₂ = (-6 4 0 )

Now, V₁ + V₂ = (2 6 7).

So, The five vectors in the span of V₁ and V₂ is,

2×(2 6 7).

= (4 12 14).

- 2×(2 6 7).

= (- 4 - 12 - 14).

3×(2 6 7).

= (6 18 21)

- 3×(2 6 7)

= (- 6 - 18 - 21).

5×(2 6 7).

= (10 30 35).

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In the algebraic expression, 6x + 10, x is the variable, 6 is the coefficient and 10 is the constant.

What are algebraic expressions?

Algebraic expressions are mathematical phrases that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. They can be used to represent mathematical operations and relationships between numbers.

Examples of algebraic expressions include:

2x + 3 (This is an expression that represents the sum of 2 times the value of x plus 3)

A letter or symbol that denotes an unknowable value is called a variable. The variable here is represented by x.

A coefficient is a number that is multiplied by a variable in an algebraic expression. In this case, 6 is the coefficient of x.

A constant is a value that does not change in an algebraic expression. In this case, 10 is the constant.

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Answer:

Step-by-step explanation:

12 divided by four plus 2 x 6+4

assuming that the question is:

12 : 4 + 2 x 6 + 4 =

3 + 12 + 4 =                     (remember PEMDAS)

19

Answer:

A

Step-by-step explanation:

refer the sketch for step by step answer

Exponential Expressions into Expanded Form into Answer:

[tex]9^{3}[/tex] = 9⋅9⋅9 = 729

[tex]7^{4}[/tex] = 7⋅7⋅7⋅7 = 2401

I hope this helps, have a good day!

Answer:

= 9⋅9⋅9 = 729

= 7⋅7⋅7⋅7 = 2401

Step-by-step explanation:

The expression that represents how much money Kate will collect

is y = 5x + 2x.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars.

Let, The number of candies she sold be 'x' and the total cost of the candies be 'y'.

Therefore, The phrase that describes the amount of money Kate will bring in is y = 5x + 2x.

y = 7x.

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On solving the provided question, we can say that -  here in quadrilateral we have x + 146 + 47 + y = 360 => [tex]x= 83.5[/tex]

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here,

x + 146 + 47 + y = 360

2x + 193 = 360

2x = 167

[tex]x= 83.5[/tex]

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The table represents a proportional relationship because all the ratios of y to x are equal to 3. (option B)

Two variables exhibit a proportional relationship if the constant of proportionality remains constant for all the given values in the table.

The equation that is used to represent a proportional relationship is:

y = kx

Where:

k = constant of proportionality

Value of k when x is 1:

3 = k

Value of k when x is 2:

6 = 2k

k = 6 / 2

k = 3

Value of k when x is 3:

9 = 3k

k = 9 / 3

k = 3

Value of k when x is 4:

12 = 4k

k = 12 / 4

k = 3

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Answer:

P. Sue uses 1/6 of the pitcher to fill 1 glass

Step-by-step explanation:

Answer:

The area of a square is equal to the side length of the square squared. If the side length of the small square is "s" and the side length of the big square is "b", then we can write the following two equations to represent the area of the two squares:

Area of small square = s^2

Area of big square = b^2

Since the area of the big square is 30 units more than the area of the small square, we can write the equation:

b^2 = s^2 + 30

To find the radius of the circle, we need to find the side length of the small square. To do this, we can rearrange the equation above to solve for s:

s^2 = b^2 - 30

s = sqrt(b^2 - 30)

Now we just need to find the value of "b", which is the side length of the big square. To do this, we can use the fact that the big square is inscribed in the circle, so the side length of the big square is equal to the diameter of the circle. Let's call the diameter of the circle "d". Then we can substitute "d" for "b" in the equation above:

s = sqrt(d^2 - 30)

To find the radius of the circle, we just need to divide the diameter of the circle by 2, so the radius is equal to "d" divided by 2. Therefore, the radius of the circle is:

r = d/2 = sqrt(d^2 - 30)/2

So to find the radius of the circle, we just need to know the diameter of the circle. Can you provide the diameter of the circle in the question?:

The radius of the circle is: r = d/2 = sqrt(d^2 - 30)/2

The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately  3.142

Here, we have,

The area of a square is equal to the side length of the square squared. If the side length of the small square is "s" and the side length of the big square is "b", then we can write the following two equations to represent the area of the two squares:

Area of small square = s^2

Area of big square = b^2

Since the area of the big square is 30 units more than the area of the small square, we can write the equation:

b^2 = s^2 + 30

To find the radius of the circle, we need to find the side length of the small square. To do this, we can rearrange the equation above to solve for s:

s^2 = b^2 - 30

s = sqrt(b^2 - 30)

Now we just need to find the value of "b", which is the side length of the big square. To do this, we can use the fact that the big square is inscribed in the circle, so the side length of the big square is equal to the diameter of the circle. Let's call the diameter of the circle "d". Then we can substitute "d" for "b" in the equation above:

s = sqrt(d^2 - 30)

To find the radius of the circle, we just need to divide the diameter of the circle by 2, so the radius is equal to "d" divided by 2. Therefore, the radius of the circle is:

r = d/2 = sqrt(d^2 - 30)/2

So to find the radius of the circle, we just need to know the diameter of the circle.

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The equation system is appropriately described by the formula 4x - y=6.A mathematical formula known as an equation combines two assertions .

A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. The terms 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14, for example. Mathematical equations are used to express the relationship between two phrases on either side of a letter. In most cases, the symbol serves as the sole variable. a good example is 2x - 4 = 2.

given

Graphing, substitution, and elimination are the three techniques used to solve systems of equations.

By graphing the given equations, you can easily solve a system by finding the point(s) where they all cross.

The values of the variables you are solving for will be provided by the coordinate of this point.

The equation system is appropriately described by the formula 4x - y=6.

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The total number of corn dogs sold is 28 corn dogs and number of hotdogs is 53

Total cost is the overall expense incurred for a particular product, service, or project. It includes both fixed and variable costs, such as materials, labor, and overhead. It is often used in business and economic analysis as a measure of the efficiency and profitability of a particular venture. The total cost of a product or service can also be used to set prices and make pricing decisions.

According to question:-

step1

h = number of hotdogs

c = number of corndogs.

cost of hotdog = $3

corn dog = $1.50

The equation:

3h + 1.50c = 201 (1)

h = 2c - 3 (2)

step2

substitute (2) into (1)

3(2c - 3) + 1.50c = 201

6c - 9 + 1.50c = 201

7.50c - 9 = 201

7.50c = 201 + 9

7.50c = 210

c = 210/7.50

c = 28

Therefore,

h = 2c - 3

= 2(28) - 3

= 56 - 3

= 53

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