The Thomas family likes to visit Everglades National Park, the largest tropical wilderness in the U.S., which partially covers the Miami-Dade, Monroe, and Collier counties in Florida. They hold an annual pass that cost $40.00. Each canoe rental costs $26.00 and each bicycle rental costs $15.00. Use an algebraic expression to describe how much they spend in a year based on the annual pass, the number of canoes rentals, and the number of bicycle rentals. Identify the parts of the expression by underlining the coefficient(s), circling the constant(s), and drawing a box around the variable(s).

Answers

Answer 1

Answer:

z = 40 + 26.00x + 15.00y

Coefficients: 26.00, 15.00

Constant: 40

Variables: z, x, y

Step-by-step explanation:

Let x be the number of canoe rentals and y be the number of bicycle rentals.

(The family can hold only one annual pass, so we don't need a variable for that. Rather, we'll use a "constant." But the number of bicycle/canoe rentals can change!)

Let z be how much the family spends in a year.

The family spends $26 for each canoe rental, so

26.00x for x canoe rentals

Similarly, 15.00y for y canoe rentals

So z = 40 + 26.00x + 15.00y

The coefficients are the 26.00 and the 15.00. Coefficients are the numbers attached to the variables.

The constant is 40. A constant is a number by itself.

The variables are z, x, and y. Variables are our unknowns.


Related Questions

Answer pls urgent shhzhzhsensnsj

Answers

Answer:

1/6 + 1/2 = 1/6 + 3/6 = 4/6

SIMPLIFIED IS = 2/3

Step-by-step explanation:

PLEASE HELP ASAP

in a sample of people on the school board 2 out of 5 were in favor of a new high school being built. if 3,500 people vote in the new local election approximatelyhow how many would vote aginst the new high school being built?

Answers

Answer:

2,100 people

Step-by-step explanation:

~Divide to find the number of people in fifths

3,500 / 5 = 700

~Multiply to find 2/5 of the total people

700 * 2 = 1,400

~Subtract to find the number of people against building the school.

3,500 - 1,400 = 2,100

Best of Luck!

Solve: 2 In 3 = In(x-4)

Answers

Answer:

x = 13

Step-by-step explanation:

one of the rules of logarithm (for all bases, by the way, not just e for ln) is

[tex]a \times ln(b) = ln( {b}^{a} ) [/tex]

so, we have

ln(3²) = ln(x-4)

=>

3² = x - 4

9 = x - 4

x = 13

22. What is the average(arithmetic mean) of all the integers
from -39 to 40, inclusive?

Answers

This range contains 80 numbers (40 in 1-40, and another 40 in -39-0).

We have

S = 1 + 2 + 3 + … + 38 + 39 + 40

S = 40 + 39 + 38 + … + 3 + 2 + 1

==>   2S = (1 + 40) + (2 + 39) + … + (39 + 2) + (40 + 1)

==>   2S = 40 × 41

==>   S = 820

and

T = 0 + 1 + 2 + … + 37 + 38 + 39

T = 39 + 38 + 37 + … + 3 + 2 + 1

==>   2T = (0 + 39) + (1 + 38) + … + (38 + 2) + (39 + 0)

==>   2T = 40 × 39

==>   T = 780

The average of the numbers in this range is equal to the total divided by the amount of numbers in the range, so

average = (40 + 39 + … + 1 + 0 + (-1) + … + (-38) + (-39))/80

average = (S - T )/80

average = (820 - 780)/80

average = 40/80 = 1/2

what is the greatest digit formed by 5 6 7 8 and 9​

Answers

98765 is the greatest digit formed by 5 6 7 8 and 9.

Answer:

98765 is the greatest digit that can be formed using those numbers

-(-v+y)-4(2y-4v)

How do I simplify this?

Answers

Step-by-step explanation:

hope you understand.

first simplify it by arranging correct signs then it's just subtraction or addition.

Power Function:
Exercise: Recognize and analyze the graph of the power function as the exponent "n" and the coefficient "a" vary.

1. Consider a positive exponent power function
A) Describe the graph of the function when n is even, for this you must attach an image of the graph of the function that meets these conditions.
B) Describe the graph of the function when n is odd, for this you must attach an image of the graph of the function that meets these conditions.
C) Describe what happened when the coefficient a is positive and also when it is negative. Is there any change in the graph?
D) Describe what happened when the coefficient a increases or decreases. What happens to the graph of the function?

2. Consider a negative exponent power function
A) Describe the graph of the function when n is even, for this you must attach an image of the graph of the function that meets these conditions.
B) Describe the graph of the function when n is odd, for this you must attach an image of the graph of the function that meets these conditions.
C) Describe what happened when the coefficient a is positive and also when it is negative. Is there any change in the graph?
D) Describe what happened when the coefficient a increases or decreases. What happens to the graph of the function?

Answers

9514 1404 393

Explanation:

For this purpose, we define your power function as ...

  f(x) = a·x^n

Most of the description here applies to any function. A "power function" is a special case of a polynomial function in that it only has one term. The parity of the exponent (even, odd) tells you whether the function is even or odd. As with any even or odd function, there will be a certain symmetry:

  f(-x) = f(x) . . . even function; symmetrical about the y-axis

  f(-x) = -f(x) . . . odd function; symmetrical about the origin

__

The coefficient of the function is the vertical scale factor. As with the vertical scale factor of any function, when it is negative, the function graph is reflected in the x-axis. When it increases in magnitude, points on the graph move farther from the x-axis; closer when it decreases.

__

1.

A) The red graphs in the first attachment are graphs of f(x) = ax^2 for different values of 'a'. As described above, the graph is symmetrical about the y-axis.

B) The black graphs in the first attachment are graphs of f(x) = ax^3 for different values of 'a'. As described above, the graph is symmetrical about the origin.

C) As described above, when the coefficient is negative, the graph of the parent function is reflected across the x-axis. The dashed-line graphs in the first attachment are graphs of the function with a negative coefficient.

D) As described above, the coefficient is the vertical scale factor. Changing it stretches or compresses the graph vertically. The dotted red graph in the first attachment shows a vertical expansion; the dashed black graph shows a vertical compression (reduction in the coefficient magnitude).

__

2.

The second attachment shows graphs with negative exponents. Otherwise, the graphs are scaled and reflected the same as they were in Part 1.

A) As described above, the graph is symmetrical about the y-axis.

B) As described above, the graph is symmetrical about the origin.

C) As described above, a negative coefficient causes the graph to be reflected across the x-axis.

D) As described above, the magnitude of the coefficient affects the distance of the graph from the x-axis. Increasing magnitude increases the distance; decreasing magnitude decreases the distance (proportionally).

Find the slope of the line passing through the points ( 9, -5) and (1, -1)

Answers

Answer:

m = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{2} }[/tex]

~~~~~~~~~

( 9 , - 5 )

( 1 , - 1 )

m = ( - 1 - ( - 5 ) ) / ( 1 - 9 ) = - [tex]\frac{1}{2}[/tex]

12. Write an expression for the phrase 3 times the quantity 7 less than m
A. 3(m - 7)
B. 317-m)
C. 3(m + 7)
D. 3 + m - 7

Answers

Answer:

A

Step-by-step explanation:

7 less than m=m-7

multiplied by 3 = 3(m-7)

Answer:

C. 3(m + 7)

Step-by-step explanation:

First,

7 less than m = m - 7

Then,

3 times the quantity of 7 less than m = 3 ( m - 7 )

Hence,

Req. expression is 3(m-7)

Answer and explanation?​

Answers

Answer:

∠HDG = 117°

∠FDG = 180°

Step-by-step explanation:

∠FDG:

Since ∠FDG is a straight line, it measures 180°. This is because every straight line measures 180°.

∠HDG:

∠HDG = ∠FDG - ∠FDH

∠HDG = 180° - 63°

∠HDG = 117°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

Find the solution for
2 - 3(x +4) = 8

Answers

Answer:

The answer is -6.

Step-by-step explanation:

2-3*(-6+4)=8

2−3

Please Help!!! Will give brainliest

Answers

Answer:

all limits exist.

Step-by-step explanation:

plz see in the picture for more explaination.

Ben paid $86 for 40 gallons of gas. How much would $15 gallons cost?

Answers

Answer:

32.25

Step-by-step explanation:

For 40 gallons of gas = $86

For 1 gallon of gas = 86/40 = $2.15

For 15 gallons of gas = 15 x 2.15 = 32.25

Help Me quick my cousin needs to get this done I’ll give you 10 extra points for who ever picked the correct answer please and thank you!

Answers

Answer:

A. [tex] \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x[/tex] (first option)

Step-by-step explanation:

➡️ [tex] \cos(x + 2x) [/tex]

➡️ [tex] \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x[/tex]

➡️ [tex] \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) [/tex]

➡️ [tex] \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) [/tex]

➡️ [tex] \cos(x) - 4 \cos(x) \sin^{2} x[/tex]

2. Consider the addition operations below and choose whether the result can be
rational, irrational, or both.
Expressions
Rational
Irrational
4/5 + 3 /
(2 + 657) + (-655
√ √ + 2 VA

Answers

sr(5) and sr(2) are both irrational. When you add them the answer is still irrational.

The +6sr(7) and -6sr(7) will cancel out when added. The answer is 2 so rational.

sr(9) = 3 and sr(4) = 2 so the answer is rational.

67. Evaluate 2a - 3 when a = - 5

Answers

Answer:

-13

Step-by-step explanation:

2a - 3, where a = -5

= 2(-5) - 3

= -10 - 3

= - 13

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textsf{2a - 3}\\\\\huge\textsf{= 2(-5) - 3}\\\\\huge\textsf{= -10 - 3}\\\\\huge\textsf{= -13}\\\\\\\huge\textsf{Therefore, your answer is: \boxed{\mathsf{-13}}}\huge\checkmark\\\\\\\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\huge\textsf{Amphitrite1040:)}[/tex]

What is p (blue)? ......

Answers

Answer:

P(blue)= 0.25 or 1/4

Step-by-step explanation:

On this spinner, each spot is the same size; therefore, there is a 1 in 4 chance that the spinner lands on blue. This is because there are 4 options but only one of them is blue. Then, if you want a decimal just divide 1 by 4. This equals 0.25. Additionally. If you wanted the answer as a percentage multiply the decimal by 100, so the percentage would be 25%.

eg jammu jdndhdbshsbsbs​

Answers

Answer:

A: [tex]3\frac{1}{3}[/tex]

B: [tex]3\frac{2}{3}[/tex]

I hope this helps!

pls ❤ and mark brainliest pls!

mary bought 8 pounds of granola at 3.10 a pound for a family hiking trip how much did spend altogether?​

Answers

She spent $24.80 altogether

No clue what I’m doing. Please help.

Answers

Answer:

n1= -4

n2= 1

n3= 6

Step-by-step explanation:

the n column represents the numbers that are in n's place

eg n=1

n=2

n=3

5x1 - 9

5x2 -9

5x3 -9

Answer and Step-by-step explanation:

What this question wants you to do is fill out the right side (or the outputs) of the table.

To do this, plug in the value of n into the equation and solve.

n = n, 5n - 9

n = 1, 5(1) - 9 = -4

n = 2, 5(2) - 9 = 10 - 9 = 1

n = 3, 5(3) - 9 = 15 - 9 = 6

So, the values (in bold) should go into the table as so:

1    | -4

2   |  1

3   |  6

#teamtrees #PAW (Plant And Water)

I hope this helps!

Can someone help me please :00

Answers

Answer:

according to the dark spots which shows where each number goes to, it would be D.-2

please help me. thank you so much

Answers

Answer:

D. On sale at 60% of the original price

Step-by-step explanation:

That just means they are taking off 40% off the original price.

I hope this helps!

pls ❤ and mark brainliest pls!

Which is the solution to the inequality below?
1x + 2 + 5 4
0 -3 < x < -1
no solution
O x < -3
O x > -1 or x < 3

Answers

Answer:

ox,-3

Step-by-step explanation:

9,909.937 rounded to the nearest whole number

Answers

9,909.937 rounded is 9,910

Answer and Step-by-step explanation:

To round to the nearest whole number, you look at the number in the tenths place.

- If this number is 5 and higher, then you round up (the number to the left of the tenths place [the ones place]).

- If it is lower than 5, then the number (in the ones place) stays the same.

9 is greater than 5, so we round up.

9,910 is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

What is the answer to this?

Answers

Answer:

18

Step-by-step explanation:

x+11=3x-25

36=2x

x=18

A number divided by 4 plus 3 is 8

Answers

Answer:

[tex]number = x \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 5 \\ x = 20 \\ thank \: you[/tex]

Answer:

[tex]let \: the \: number \: be \: x \: \\ then \: \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 8 - 3 \\ \frac{x}{4} = 5 \\ x = 5 \times 4 \\ x = 20 \\ \: hence \: 20 \: is \: your \: answer \:hope \: it \: helped[/tex]

Is that the right answer..?

Answers

9514 1404 393

Answer:

  the correct answer is 47

Step-by-step explanation:

You are correct down to the part where you're adding the numbers.

  50 -10 +7 = 40 +7 = 47

__

The sign of the 7 is positive. The minus sign only applies to 10.

_____

Additional comment

Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...

  (50 +7) -(10) = 57 -10 = 47

The school band has d drummers and 5 violinists. There are 2 more violinists than drummers. Which of the following equations represents the situation?​

Answers

Answer:

A    d = 5+2

Step-by-step explanation:

There are two more drummers than violinists

There are 5 violinists

5 + 2 = d

or in other words, d = 7

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

add 6 to the difference between 9 and 7

a) 7- (9 + 6)
b) (7 - 9) + 6
c) (9 - 7) + 6
d) 9 - (7 + 6)

Answers

It is b!!!!!! (9-7)+6

Find any domain restrictions on the given rational equation x/x+4 + 12/x^2+5x+4 = 8x/5x-15

Answers

Answer:

x ≠ -4, -1, 3

Step-by-step explanation:

12/(x^2+5x+4) = 8x/(5x-15)

12/((x+1)(x+4)) = 8x/(5(x-3))

division by zero is undefined

There are 3 answers to your question. x= -1 x= 3 x= -4

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i hate math ( )help me PLS the yearly membership to the san diego zoo for a family with 2 adults and 2 children is $144. the regular admission to the zoo is $18 for each adult and $8 for each child. how many times should such a family plan to visit the zoo in a year to make a membership less expensive than paying regular admission? type an speech for why summer vacation should be longer. ( 3 paragraphs 4 sens) Construct a line that is perpendicular toAB and passes through point X.-I really need help Im crying at the moment :/ Solve the given equation for X.X/3 + X/7 = 5/3 A new business had a profit of $6,500 in the first month, a loss $1,200 in the second month and a loss of $1,300 in the third month. What is the net profit or net loss over the first three months Which character is the best example of an unreliable narrator? A. A reporter who captures footage of Bigfoot but can't convince anyone that it's real B. A god who makes fun of the trials of mortals and likes to interfere in their little lives C. A small child who always misses the point of what the adults around her are doing D. A cook who goes to work in a restaurant and notices all the staff cutting corners Help please due today Which of the following uses dashes correctly?A. Mercury is a very heavy despite being in a liquid form -and toxic- element.B. Mercury is a very heavy despite being in a liquid form- and toxic element.C. Mercury is a very heavy -despite being in a- liquid form and toxic element.D. Mercury is a very heavy despite being in a liquid form- and toxic element. Inverse function G(x)=2x+2 what is a leased line crystal ball see your glass Nosotros___el te helado. Nora has 21 pencils. She packs boxes with 7 pencils in each box. How many boxes will Nora use? Write the equation and answer. is 4.49 a rational number If employment and wages increase nationally, the hospitality and tourism industry will.... grow because people will have more money to spend on travel and fun see no significant impact because employment and wages are not related to the industry suffer because people will have to work more and have less time to travel stop growing because people will have to pay more taxes and have less money solve the equation -7 x = -28 Write 5 facts about yourself? How many sides does an octagon have A map of European rivers. Rivers are labeled 1, 2, 3, 4, and 5. 1 is in the United Kingdom. 2 is in Spain. 3 is in Germany. 4 is in Italy along the Swiss border. 5 extends from Romania to Germany. All of the following rivers are labeled by a number on the map above except __________.A. the Loire RiverB. the Thames RiverC. the Danube RiverD. the Tagus River