A bus company took a tour bus on a ferry. The ferry charges $130 for the bus plus an additional $2 per person on the bus. Write an equation that shows the cost(c) for any given number of people(p) on the bus.A bus company took a tour bus on a ferry. The ferry charges $130 for the bus plus an additional $2 per person on the bus. Write an equation that shows the cost(c) for any given number of people(p) on the bus.A bus company took a tour bus on a ferry. The ferry charges $130 for the bus plus an additional $2 per person on the bus. Write an equation that shows the cost(c) for any given number of people(p) on the bus.

Answer:

Step-by-step explanation:

We'll just work on solving both so you can see what's involved in solving an absolute value equation. Because an absolute value is a distance, we can have that distance being both to the right on the number line of the number in question or to the left. For example, from 2 on the number line, the numbers that are 5 units away are 7 and -3. Using that logic, we will simplify the equation down so we can set up the 2 basic equations needed to solve for x.

If  \(3-2|.5x+1.5|=2\) then

\(-2|.5x+1.5|=-1\)  What you need to remember here is that you cannot distribute into a set of absolute values like you would a set of parenthesis. The -2 needs to be divided away:

\(|.5x+1.5|=.5\)

Now we can set up the 2 main equations for this which are

.5x + 1.5 = .5  and .5x + 1.5 = -.5

Knowing that an absolute value will never equal a negative number (because absolute values are distances and distances will NEVER be negative), once we remove the absolute value signs we can in fact state that the expression on the left can be equal to a negative number on the right, like in the second equation above.

Solving the first one:

.5x = -1 so

x = -2

Solving the second one:

.5x = -2 so

x = -4

We want to find the other solution of the given absolute value equation.

The other solution is x = -4

We know that:

3 - 2*|0.5*x + 1.5| = 2

It has one solution given by:

- 2*|0.5*x + 1.5| = 2 - 3 = -1

|0.5*x + 1.5| = 0.5

0.5*x + 1.5 = 0.5

0.5*x = 0.5 - 1.5 = -1

0.5 = -1/x

Then we have x = -2

To get the other solution we need to remember that an absolute value equation can be written as:

|x - a| = b

or:

(x - a) = b

(x - a) = -b

Then the other solution to our equation comes from:

|0.5*x + 1.5| = 0.5

(0.5*x + 1.5) = -0.5

0.5*x = -0.5 - 1.5 = -2

x = -2/0.5 = -4

The other solution is x = -4

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Answer:

254.34

Step-by-step explanation:

\(r^{2}\)x3.14(\(\pi\))

so then substitute

9x9=81

81x3.14=254.34

Answer:

25xwith an exponent of 2 minus 16y with an exponent of 2

Answer:

-5

Step-by-step explanation:

The function follows y = mx + b form where m is the slope.

m = -5

The slope is -5

Answer:

-5

Step-by-step explanation:

the equation is written in form y = mx + b

The m is the slope and the b is the y intercept.

So the m in the equation is -5.

(a) The underlying space Ω consists of all possible sequences of coin flips, mapping to the range of the pair (X,Y) representing the coordinates of the robot after 2n time instants. (b) The marginal pmf of X is P(X = -4) = P(Tails) and P(X = 4) = P(Heads), while the marginal pmf of Y is P(Y = -A) = P(Tails) and P(Y = A) = P(Heads). (c) The probability that the robot is within distance V/2 of the origin after 2n time instants depends on the specific probabilities associated with the coin flips and the value of A.

(a) The underlying sample space Ω of this random experiment consists of all possible sequences of coin flips. Each coin flip can result in either a "heads" or "tails" outcome, corresponding to +4 cm or -A cm movement in the x-direction. The sequences of coin flips determine the movements of the robot at even and odd time instants.

The mapping from the sample space Ω to the range of the pair (X,Y) can be described as follows:

1 -> x: -4 cm, y: 0

2 -> x: 0, y: -A cm

3 -> x: 0, y: 0

4 -> x: 4 cm, y: 0

5 -> x: 0, y: A cm

6 -> x: 0, y: 0

...

Each coin flip outcome corresponds to a particular movement in either the x or y direction, and the resulting coordinates (X,Y) are determined by the cumulative movements after 2n time instants.

(b) To find the marginal pmf of the coordinates X and Y, we need to calculate the probabilities associated with each possible value of X and Y.

Since at even time instants the robot moves either +4 cm or -A cm in the x-direction, the pmf of X can be described as:

P(X = -4) = P(Tails)

P(X = 4) = P(Heads)

Similarly, at odd time instants, the robot moves either +4 cm or -A cm in the y-direction, resulting in the pmf of Y as:

P(Y = -A) = P(Tails)

P(Y = A) = P(Heads)

(c) To find the probability that the robot is within distance V/2 of the origin after 2n time instants, we need to consider the possible combinations of movements that result in the robot being within this distance.

For example, if V = 8 cm, the robot can be within distance V/2 of the origin if it has moved +4 cm or -4 cm in either the x or y direction.

To calculate the probability, we need to sum the probabilities of the corresponding movements in the x and y directions:

P(|X| ≤ V/2, |Y| ≤ V/2) = P(X = -4) * P(Y = 0) + P(X = 4) * P(Y = 0) + P(X = 0) * P(Y = -A) + P(X = 0) * P(Y = A)

This calculation will depend on the specific probabilities associated with the coin flips and the value of A.

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Answer:

I think this is correct.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Jane and her sister planted vegetables in 4/9 portion of the family garden.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Jane's family divided up their garden so that 2/3 of the garden will have vegetables.

Now, In that 2/3 portion, they planted 2/3 of that portion.

Therefore, The portion of the family garden will Jane and her sister plant is,

= (2/3)×(2/3).

= 4/9.

So, Jane and her sister planted 4/9 portion.

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Answer:

The formula for finding the sum of the measure of the interior angles is (n - 2) * 180. To find the measure of one interior angle, we take that formula and divide by the number of sides n: (n - 2) * 180 / n.

Step-by-step explanation:

hope this helps!! have a nice day! :D

The sum of the interior angle measures of the polygon is 900 degrees

The formula for finding the sum of an interior angle of a polygon is expressed according to the formula:

\(S=(n-2)\cdot180\)

n is the number of sides of the polygon

The given polygon has 7 sides (heptagon)

S = (7 - 2) * 180

S = 5 * 180

s = 900 degrees

Hence the sum of the interior angle measures of the polygon is 900 degrees

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Answer:

8yz+xy

like terms and then solve it

The simplified expression is xy + 8yz

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.

Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

3xy+5yz-2xy +3yz

Now,

=3xy - 2xy + 5yz+ 3yz

=xy + 8yz

Hence, the simplifies expression is xy + 8yz.

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Step-by-step explanation:

the line goes through e.g. (0, -3) and (-2, 1).

the slope of the line is the defined by

x changes by +2 (from -2 to 0).

y changes by -4 (from 1 to -3).

so, the slope is -4/+2 = -2.

and the y-intercept (the y value when x = 0) is -3.

the line equation is then

y = -2x - 3

and we see in the graphic that all values smaller than the line values are covered (and the line is dotted, so it is not included).

so, the inequality is

y < -2x - 3

Answer:

The answer to your problem is 540

Step-by-step explanation:

The answer is 180 because all triangles have 3 sides and a pentagon is 3 triangles formed as one so you need to do 180 x 3 which is 540

The given expression is $(3x^{2})(12x-\boxed{})$. To make the simplified product of these two binomials a binomial, what non-zero integer must be placed in the square?

The factors of the first term of the second binomial $(12x-\boxed{})$ must have a common factor with the coefficient of $3x^2$ $(3)$. Only $(4)$ is a common factor, so the missing term is $(4)$.Thus, $(3x^{2})(12x-4) = (3)(4x)(x-1) = \boxed{12x(x-1)}$ a binomial. Therefore, $(4)$ is the non-zero integer that must be placed in the square so that the simplified product of these two binomials is a binomial.

To find the missing value, we need to ensure that the product of the two binomials is a binomial.

The product of two binomials can be written in the form: (a + b)(c + d) = ac + ad + bc + bd.

In this case, we have (3x + 2)(12x - \boxed{}). To simplify the product and make it a binomial, we want the middle term, which is ad, to be zero.

To make the middle term zero, we need to choose the missing value in such a way that the coefficient of x in the second binomial is equal to the negative product of the coefficients of x in the first binomial.

In other words, we want (-2)(\boxed{}) = 0. The only value of \boxed{} that satisfies this equation is 0.

Therefore, the missing value in the square should be 0, so the simplified product of the two binomials becomes (3x + 2)(12x - 0), which can be further simplified to 36x^2 + 24x.

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In the given expression, \($(3x^2)(12x-\boxed{a})$\). We need to find the integer "a".

Therefore, the non-zero integer that must be placed in the square so that the simplified product of these two binomials is a binomial is 3.

For the simplified product of these two binomials to be a binomial, we need to have equal terms (or factors) on both the binomials. Hence, we need to make sure that the "x" is present in both the terms. Now, let's simplify the product of these two binomials:

\($(3x^2)(12x-\boxed{a}) = 36x^3 - 3ax^2$\)

For this to be a binomial, we need to have the middle term \(($-3ax^2$)\) to be the product of the sum of the two binomial terms. In other words,

\($-3ax^2 = (3x^2)\times(-a)\)

\(= -9ax^2\)

The above equation can be simplified as

\($-3ax^2 = -9ax^2$\)

Dividing both sides by -3x², we get a = 3.

Therefore, the non-zero integer that must be placed in the square so that the simplified product of these two binomials is a binomial is 3.

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Indifferent curves are convex to the origin, and no two can intersect. The slope of the curve is given by the marginal rate of substitution, which shows how much of Y an individual is willing to give up to obtain another unit of X.

The slope of an indifferent curve, therefore, reflects how much an individual is willing to substitute between two goods while still retaining the same level of satisfaction. Indifferent curves are a graphical representation of utility, indicating the amount of satisfaction a consumer obtains from a given combination of two commodities or goods.In contrast, Budget line is a graphical representation of the combination of two goods that a consumer can buy with a given amount of income and prices of goods. The budget line is downward sloping, indicating the number of goods that can be purchased for a given amount of money.The equation of the budget line is given by;

M = PxX + PyY, where M is the total money available for spending, Px is the price of good X, Py is the price of good Y, X is the amount of good X, and Y is the amount of good Y.The equation of the budget line is; 40X + 20Y = 200.On the vertical axis, put Y and on the horizontal axis, put X, the intercepts are X = 5 and Y = 10, the budget line will be at (5,0) and (0,10).The marginal utility of X is greater than the marginal utility of Y. Therefore, the consumer will increase the consumption of X and reduce the consumption of Y until the ratio of marginal utilities of both goods equals the ratio of their prices.The consumer will be in equilibrium when;MUx/Px = MUy/Py.

The indifferent curve and budget line concepts are critical in analyzing consumer behavior and their buying patterns. By understanding the principles of utility analysis, businesses can set prices for their goods and services that ensure consumers are willing to buy them. This, in turn, leads to increased sales, revenue, and profits for the business.

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Answer:

All three products were already rounded to the nearest 5g.

"Algebra made Easy" 450g

“Terrible Trigonometry" 95g

Wrapping 120g

867.107844 Is the maximum Jemima might have to pay to post the parcel.

Step-by-step explanation:

510 divided by 79 = 6.455g per 510g

665g total of products so divide 665 by 510 now to get 1.30392157g per weight which brings us to the maximum total of 867.107844

Answer:

75 degrees

Step-by-step explanation:

on the long line that goes out to 132 is a supplementary line so that means the angle next to 132 will make the line equal 180

180 - 132 = 48

so now we know the inside angles are 48 and 57

A triangle has 180 degrees in it so

x + 48 + 57 = 180

x + 105 = 180

x = 75

Answer:

Step-by-step explanation:

I would agree with B.

The H and the T represent the possibilities of each flip,

Heads or tails.

Your sample space is the possible outcome of 2 flips.

Heads Heads, or Heads Tails, or Tails Heads, or Tails, Tails.

The nurse would document the observed findings as a "0.75 cm elevated, palpable, solid mass with a circumscribed border."

When documenting the observed findings, the nurse provides a description of the characteristics of the mass. Here's an explanation of the terms used in the documentation:

Elevated: This means that the mass is raised above the surrounding tissue. It indicates that the mass is not flat or flush with the skin or underlying structures.

Palpable: This means that the nurse can feel the mass by touch. It suggests that the mass can be detected through physical examination or palpation.

Solid: This indicates that the mass has a firm consistency, as opposed to being fluid-filled or soft. It suggests that the mass is composed of dense tissue or cells.

Circumscribed border: This means that the mass has a well-defined or clearly demarcated edge or boundary. It indicates that the mass is distinguishable from the surrounding tissue, with a distinct border between the mass and normal tissue.

The measurement of 0.75 cm refers to the size or diameter of the mass. It provides information about the dimensions of the mass and is helpful for monitoring any changes in size over time.

By documenting these characteristics, the nurse provides important details about the appearance and features of the observed mass, which can aid in further assessment, diagnosis, and treatment planning.

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Answer:

c) 7(7 + 4)

Step-by-step explanation:

Given expression,

→ 49 + 28

Then equivalent expression is,

→ 7(7 + 4)

→ (7 × 7) + (7 × 4)

→ 49 + 28

Hence, the answer is 7(7 + 4).

Answer:7(7+4)

Step-by-step explanation:

She earns if she does not make any sales on a given day $0.

We have given that,

A salesperson earns 25% of her total sales in addition to base pay. The graph below represents her total pay for a given day.

We have to determine what she earns if she does not make any sales on a given day.

The line graph of an undirected graph G is another graph L(G) that represents the adjacencies between edges of G.

From the observation of the graph, we can say that she earns if she does not make any sales on a given day none.

Therefore option A is correct.

she earns if she does not make any sales on a given day $0.

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When the height of the prism doubles, the percentage increase in the volume is 100%

The volume of a prism is:

V₁ = BH

Where:

B represents the base area and H represents the height.

When the height doubles, the volume becomes

V₂ = 2BH

The percentage increase is then calculated using:

%Increase = (V₂ - V₁)/V₁

So, we have:

%Increase = (2BH - BH)/BH

Evaluate

%Increase = 1

Express as percentage

%Increase = 100%

Hence, the percentage increase is 100%

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Answer:

B, C, A

Step-by-step explanation:

Don't really know how to explain this.

Answer: $40.00

Step-by-step explanation:

c=7(5)+5

C=35+5

c=40

$40.00

Answer:

x + 4y = 7

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 2 ) and (x₂, y₂ ) = (3, 1 )

m = \(\frac{1-2}{3-(-1)}\) = \(\frac{-1}{3+1}\) = - \(\frac{1}{4}\) , then

y = - \(\frac{1}{4}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (- 1, 2 )

2 = \(\frac{1}{4}\) + c ⇒ c = 2 - \(\frac{1}{4}\) = 1 \(\frac{3}{4}\) = \(\frac{7}{4}\)

y = - \(\frac{1}{4}\)x + \(\frac{7}{4}\) ← in slope- intercept form

multiply through by 4 to clear the fractions

4y = - x + 7 ( add x to both sides )

x + 4y = 7 ← equation in standard form

equation of line in two point form is needed here.

The required, there is convincing evidence that the proportion of all high school students who work a part-time job during the school year is greater than 0.28.

The conditions for inference for conducting a z-test for one proportion are:

Random: The sample is selected using a random method, so this condition is met.

Therefore, all the conditions for inference are met, and we can conduct a z-test for one proportion to test whether the proportion of all high school students who work a part-time job during the school year is greater than 0.28.

The null hypothesis is that the true proportion is 0.28, and the alternative hypothesis is that the true proportion is greater than 0.28. We can calculate the test statistic using the formula:

z = (p - P) / √[P(1-P) / n]

where p is the sample proportion (0.375), P is the hypothesized proportion (0.28), and n is the sample size (80).

Plugging in the values, we get:

z = (0.375 - 0.28) / √[0.28 × (1 - 0.28) / 80] = 2.22

Using a standard normal distribution table or calculator, we find that the p-value for a z-score of 2.22 is approximately 0.014. Since this is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is convincing evidence that the proportion of all high school students who work a part-time job during the school year is greater than 0.28.

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Answer:

26.8

Step-by-step explanation:

x/145 = 18.5/100

cross-multiply:

100x = 2682.5

x = 26.8

Answer:

26.825

Step-by-step explanation:

when you find 18.5 percent of 145 pounds you will get your answer. hope this helps

Answer:

-22.8

Step-by-step explanation:

(0.6-2.5)(8+4)=

0.6-2.5=-1.9

8+4=12

-1.9 × 12=-22.8

Answer:

dont

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

5×pi= 15.7 > 15. good luck on your test

Answer:

D

Step-by-step explanation:

The number equivalent to the expression is 6(2f+1)

What is an expression ?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one math operation, and the expression itself. Any one of the following mathematical operations can be used. A sentence has the following structure: Number/variable, Math Operator, Number/Variable is an expression.

Mathematical operators like addition, subtraction, multiplication, and division are used to write an expression using numbers or variables. For instance, the expression for the mathematical formula "4 added to 2" will be 2+4.

To find the equivalent of the expression 12f + 6 is we take the common value out factorize it

12f+6

6(2f + 1)

This is the expression that is equivalent

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