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The inequality that models this situation is: 10x + 7y ≥ 200

This inequality can be read as "the number of calories burned kickboxing plus the number of calories burned swimming is greater than or equal to 200." The left side of the inequality represents the total number of calories burned, which is calculated by multiplying the number of minutes spent kickboxing (x) by the number of calories burned per minute kickboxing (10) and adding that to the number of minutes spent swimming (y) multiplied by the number of calories burned per minute swimming (7). The right side of the inequality is the minimum number of calories that need to be burned each day, which is 200.

Therefore, the inequality shows that the total number of calories burned through kickboxing and swimming should be greater or equal to 200 which is 10x + 7y ≥ 200.

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Answer:

15/3.

hope you like it.

:  )

Answer:

I know this but I can't remember

8 red and 7 green

switch the numbers

7 green and 8 red

7 green : 8 red

take the label off

Answer, 7 :8

The expression 19([tex]\sqrt[5]{8}[/tex])^4 in rational exponent form is (152)^(4/5) and the expression (-4)^(2/7) in radical form is     [tex]\sqrt[7]{(-4)^{2} }[/tex].

What is rational exponent form?

In the formula a^(p/q), where a is the base and p/q is the rational exponent and q≠0, rational exponents are exponents of numbers that are expressed as rational numbers.

The first expression is -

19([tex]\sqrt[5]{8}[/tex])^4

Solve it to get rational exponent form -

Apply the rule n√x^m=x^(m/n) to rewrite the expression as a rational exponent.

= 19([tex]\sqrt[5]{8}[/tex])^4

= 19 × ([tex]\sqrt[5]{8}[/tex])^4

= 19 × (8)^(4/5)

= (152)^(4/5)

The second expression is -

(-4)^(2/7)

Solve it to get the radical form -

Apply the rule x^(m/n)=n√x^m to rewrite the expression as a radical.

= (-4)^(2/7)

= [tex]\sqrt[7]{(-4)^{2} }[/tex]

Therefore, the values are obtained as (152)^(4/5) and [tex]\sqrt[7]{(-4)^{2} }[/tex].

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Answer: Bar graphs can show you the relationship/ratio between two items.

Answer:

Bar charts are a fundamental visualization for comparing values between groups of data. Use this guide to learn how to get the most of this chart type!

Step-by-step explanation:

The range of function y = -5 is a set containing only one number, -5.

A function assigns exactly one output value, y, for each input value x. In this case, the function is a constant function, it assigns the same output value, -5, for any input value.

In mathematics, the range of a function is the set of all possible output values (or y-values) of the function. It represents the set of all possible outcomes of the function. So the set of all possible output values is {-5} which is the range of the function.

In other words, the function takes any value from the domain (all real numbers) and maps it to the single value -5, which is the range.

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Answer:

65

Step-by-step explanation:

i know its right :)

The number which divides the two or more numbers exactly is called a common divisor or a factor.

A common divisor, also known as a greatest common divisor (GCD), is the largest positive integer that divides two or more integers without leaving a remainder. For example, the GCD of 12 and 18 is 6, because 6 is the largest number that divides both 12 and 18 without leaving a remainder. The GCD can be found using the Euclidean algorithm or the extended Euclidean algorithm.

A factor is a number that divides an integer without leaving a remainder. For example, the factors of 12 are 1, 2, 3, 4, 6, and 12, because each of these numbers divides 12 without leaving a remainder. Factors are used in various mathematical concepts such as prime factorization, greatest common divisor and least common multiple.

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the inequality will be x<16.

What is inequality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare two values. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign in between. Sometimes it can be about a "not equal to" relationship, where one thing is more than the other or less than. In mathematics, an inequality is a relationship that results in a non-equal comparison between two numbers or other mathematical expressions.

9 > x - 7

=x-7<9

=x<9+7

=x<16

Hence, the inequality will be x<16.

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The probability of rolling a combined total of 8 or higher is 5/12.

If we are rolling two 6 sided die then possible outcomes are 36.

Using formula,

Probability= Favorable outcome /Total outcome

P(1) = 0                                    P(2) = 1/36

P(3) = 2/36                              P(4) = 3/36

P(5) = 4/36                              P(6) = 5/36                            

P(7) = 6/36                              P(8) = 5/36

P(9) = 4/36                              P(10) = 3/36

P(11) = 2/36                              P(12) = 1/36

So probability of getting sum of 8 or higher is

(P) = 1 - P(1) - P(2) - P(3) - P(4) - P(5) -  P(6) - P(7)

= 1 - 0 - 1/36 - 2/36 - 3/36 - 4/36 - 4/36 - 5/36 - 6/36

=1 - 21/36

=15/36= 5/12.

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Step-by-step explanation:

The slope of a line perpendicular to y=-10/9x-3 has a slope equal to the negative reciprocal of -10/9. The slope of line W can be calculated as follows:

m = -(-9/10) = 9/10

The equation of the line in point-slope form is:

y - 3 = (9/10)(x - 2)

Expanding the equation gives:

y - 3 = (9/10)x - (9/5)

Solving for y:

y = (9/10)x - (9/5) + 3

y = (9/10)x + (6/5)

The equation of line W is:

y = (9/10)x + (6/5)

The formulas that are typically covered in an algebra class for 6th graders may include:

1.  (a + b)^2 = a^2 + 2ab + b^2

2.  (a - b)^2  = a^2 - 2ab + b^2

3.  (a + b) (a - b)  = a^2 - b2

4.  (x + a)(x + b)  = x^2 + (a + b)x + ab

5.  (x + a)(x - b)  = x^2 + (a - b)x - ab

6.  (x - a)(x + b)  = x^2 + (b - a)x - ab

7.  (a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca)

8. a^3 + b^3 + c^3 - 3abc = (a + b + c ) ( a^2 + b^2 + c^2 – ab – bc – ca ) + 3abc

9. a^3 + b^3 + c^3 = 3abc   (if a + b + c = 0)

An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

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The image of the points A(-1, -2), B(-1, 1), C(-3, 1) following the translation transformation, using the rule, T₍₃, ₋₂₎, are A'(2, -4), B'(2, -1), C'(0, -1)

A translation transformation is one in which the points on the image are moved in the same distance and direction.

The point at which Nancy starts are; A(-1, -2), B(-1, 1), C(-3, 1)

The translation transformation rule is; 3 is added to each x-coordinate and -2 is added to each y-coordinate

The coordinate of the image following the above translation  rule, we get;

A(-1, -2) ⇒ T₍₃, ₋₂₎ ⇒ A'(-1 + 3, -2 + (-2)) = A'(2, -4)

B(-1, 1) ⇒ T₍₃, ₋₂₎ ⇒ B'(-1 + 3, 1 + (-2)) = B'(2, -1)

C(-3, 1) ⇒ T₍₃, ₋₂₎ ⇒ C'(-3 + 3, 1 - 2) = C'(0, -1)

The coordinates of the image following the translation transformation are therefore;

A'(2, -4), B'(2, -1), C'(0, -1)

The image of the triangle A(-1, -2), B(-1, 1), C(-3, 1) following the transformation in step 1 )(adding 3 to each x-coordinate and -2 to each y-coordinate) is A'(2, -4), B'(-1, 1), C'(-3, 1)

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The rate of change of the amount of chocolate chips with respect to the amount of oats used in this recipe is [tex]2\frac{2}{3}[/tex].

In the given question we have find the rate of change of the amount of chocolate chips with respect to the amount of oats used in this recipe.

The graph of the given question is given below:

The rate of change of the amount of chocolate chips/The amount of oats used in this recipe = (6 - 3)/([tex]2\frac{1}{4}-1\frac{1}{8}[/tex])

We firstly simply the mixed fraction

= 3/([tex]\frac{9}{4}-\frac{9}{8}[/tex])

= 3/([tex]\frac{19-8}{8}[/tex])

= 3/[tex]\frac{9}{8}[/tex]

Now simplifying

= (3×8)/9

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

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The complete question is:

The table shows the linear relationship between the amount of chocolate chips in ounces and the amount of oats in cups used in dessert recipe_ What is the rate of change of the amount of chocolate chips with respect to the amount of oats used in this recipe?

The formula to find the tangent line to a curve at a given point is y = f'(x) (x - x₀) + f(x₀).

The derivative of the function, f'(x) is calculated at the given point, x₀. Then, the equation of the tangent line is found by substituting the x₀ and f'(x) values into the formula.

To find the tangent line to a curve at a given point, the formula for the slope of the tangent line must be used. The slope of a tangent line is equal to the derivative of the function at that point. The resulting equation is a line with a slope equal to the derivative of the function at the given point, and a y-intercept equal to the value of the function at the given point. For example, if you want to find the tangent line to the function f(x) = 4x² + 3 at the point (2, 19), the derivative of the function at that point is f'(x) = 8x = 8(2) = 16. Then, the equation of the tangent line is y = 16(x - 2) + 19.

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Answer:

1.75

Step-by-step explanation:

The error interval for the weight w of the steel frame is 8.7kg to 9.7kg.

This error interval is calculated by taking the original weight of 9.2kg and adding and subtracting 0.5kg from the value. This is because the weight of the steel frame was given correctly to one decimal place.

9.2+0.5=9.7

9.2-0.5=8.7

The error interval of 8.7kg to 9.7kg is a reasonable interval to use when determining the weight of the steel frame. This is because it covers a range of weights that are both above and below the original weight, allowing for a margin of error.

This margin of error is important, as it allows for small variations in the weight of the steel frame that could be caused by discrepancies in the accuracy of the measurement tools used to measure the weight.

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Company B charges $25 x miles than company A.

Let x = Number of miles.

Total charge = Flat charge + (charge per mile) x  (Number of miles)

For Company A ,

Flat charge= $30.50

Charge per mile = 9 cents

For Company B,

Flat charge= $55.50

Charge per mile =  13 cents

Cost from company A = $30.50 + 9c x

Cost from company B = $55.50 + 13c x

Company B cost - Company A cost = $55.50 + 13c x - ($30.50 + 9c x) = $25 x miles.

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The multiplicative inverse of 3 - 7 does not exist because 3 - 7 = -4, which is not a non-zero real number, so it does not have a reciprocal. The reciprocal of a real number is only defined for non-zero real numbers.

The reciprocal of a real number is a number that when multiplied by the original number, it equals 1. This is also known as the multiplicative inverse. For example, the reciprocal of 2 is 1/2 because 2 * (1/2) = 1. But in the case of a non-real number like 0, it does not have a reciprocal because no real number when multiplied by 0 will give you 1.

In the case of 3-7 = -4, it is a negative number, and no non-zero real number multiplied by -4 will yield 1, so -4 does not have a multiplicative inverse.

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If the monomial is not zero, the product of a monomial and a polynomial will have as many terms as the polynomial.

This is referred to as an expression which consists of indeterminates which are also known as variables and coefficients and an example is 3x2 -2x-10.

In a scenario, where the monomial is not zero, the product of a monomial and a polynomial will have as many terms as the polynomial due to the common factors being present in both numerical values which is therefore the reason why it was chosen as the correct choice.

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she goes 252 miles.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

given that,

Olivia drives 35 mph for 7.2 hours

i.e. she go = 35*7.2

                 =252miles.

hence, she goes 252 miles.

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The equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1) is y= 5/6 x-1/6.

The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.

The given coordinate points are (5, 4) and (-1, -1).

Put (5, 4) and (-1, -1) in slope m = (y₂-y₁)/(x₂-x₁), we get

m= (-1-4)/(-1-5)

m= -5/(-6)

m =5/6

Substitute m=5/6 and (x, y)=(5, 4) in y=mx+c, we get

4=5/6 (5)+c

c=4-25/6

c=-1/6

Substitute m=5/6 and c=-1/6 in y=mx+c, we get

y= 5/6 x-1/6

Therefore, the equation of the mirror line for the segment with endpoints (5, 4) and (-1, -1) is y= 5/6 x-1/6.

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There are a total of 8 people going on the trip, 4 of which are not members of the French club.

$284 - (8.11 * 4) = 284 - 32.44 = 251.56

251.56/x = 8.11

x = 251.56/8.11 = 31

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Answer:

[tex]3240^{0}[/tex]

Step-by-step explanation

n = Number of sides

Sum of interior angles of a regular polygon = (n - 2) x [tex]180^{o}[/tex]

                                                                        = (20 - 2) x  [tex]180^{o}[/tex]

                                                                        = 18 x [tex]180^{o}[/tex]

                                                                        = [tex]3240^{o}[/tex]

Neither of these equations are already solved for x or y. As a result, the first step is to solve for x or y first.

What comes first in the process of solving a two-step equation?

The two stages that make up the most general instance for a two-step equation are as follows: First, get rid of addition and subtraction by adding or removing from both sides.

                     The variable should then be isolated by multiplying and dividing on both sides. By replacing the variable's value with the response, you may verify the solution.

What comes first in the process of substitution?

Three steps are included in the substitution technique One of the variables needs to have one equation solved. The other equation can be solved by substituting this expression there. Find the corresponding variable by substituting the value back into the original equation.

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The value of y-intercept is 490.

This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable. Set x = 0 and then solve for y to find the y-intercept. The key message is (0, y).

A straight line's Y intercept is simply the point at which the line intersects the Y axis. The line crosses the Y axis at 1 in the diagram above. The point is denoted by and the Y intercept is equal to 1. (0,1). Keep in mind that the point's x-coordinate is always zero for the y-intercept.

2x + 3y = 1,470

3y = 1470 – 2x

y = 1470/3 – 2/3x

y = 490 – 2/3x

y = -2/3 * x + 490

the slope is -2/3

and y intercept is 490

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The slope of the graph of the equation 3x + 2y = 6 is -3/2.

In the given question, we have to find the slope of the graph of the equation 3x + 2y = 6.

The slope-intercept version of the line's equation is what we need. In other words, we want y=mx+b in the form of ax+by=c. M is the slope and b is the y-intercept in the slope-intercept form.

The equation for the line intercept form is

y = mx+c

3x + 2y = 6

2y = 6-3x

y = [tex]\frac{6-3x}{2}[/tex]

y = 6 - [tex]\frac{3x}{2}[/tex]

y = -[tex]\frac{3x}{2}[/tex] + 3

The line's slope is (m) = -3/2.

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The probability of getting a wild card from the deck of 104 game cards is 5/22.

Therefore the answer is 5/22.

Out of the 44 cards, 10 were wild cards, 32 number cards and 2 penalty cards. Also it is given that after each draw, the card is replaced. So the draw doesn't affect the probability of next draw.

When 44 cards are drawn, 10 were wild card. So the probability of getting a wild card is

= 10/ 44

= 5/ 22

The probability of taking a wild card in a deck of 104 cards is same as the probability of wild card in each draw of a draw of 44 cards.

--The question is incomplete, answering to the question below--

"The table shows the results of drawing 44 cards from a deck of 104 game cards. After watch each draw, the card is replaced. Based on the results, what is the chance that a draw result in a wild card?

Frequency of wild cards is 10.

Frequency of number cards is 32.

Frequency of penalty cards is 2."

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Statistics is a branch of mathematics that dispense with the review, collection, and analysis of data. It is known for drawing the resolution of data with the use of estimation models.

Statistical analysis is a method of evaluating and collecting data and summarizing it into mathematical form.

Statistics can be explained as the study of the interpretation, analysis, collection, presentation, and organization of data.

In easy words, it is a mathematical tool that is used to summarize and collect data.

riskiness and fluctuation in various fields and parameters can be get only through statistical analysis. This riskiness is determined by the probability that plays a very important role in statistics.

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A triangle with sides of length 15 cm, 15 cm, and 30 cm cannot be constructed.

A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other and it is denoted by the symbol △. There are various types of triangles that are classified on the basis of the sides and angles.

According to the triangle inequality theorem, to construct a triangle, given three sides, we must have the size of the largest side less than the sum of the other two sides.

Here, the largest side is 30 and

The sum of the other two sides of the triangle = 15+15 = 30

Both these values are equal.

This contradicts the  triangle inequality theorem.

Hence, we cannot draw the triangle.

Thus, a triangle with sides of length 15 cm, 15 cm, and 30 cm cannot be constructed.

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