Each school year, the seventh graders who study Life Science participate in a special field trip to the city zoo. In 2010, the school paid $1,260 for 84 students to enter the zoo. In 2011, the school paid $1,050 for 70 students to enter the zoo. In 2012, the school paid $1,395 for 93 students to enter the zoo. A. Is the price the school pays each year in entrance fees proportional to the number of students entering the zoo? Explain why or why not.

Answers

Answer 1

Answer:

The price is proportional to number of students

Step-by-step explanation:

Given

2010: $1260 for 84 students

2011: $1050 for 70 students

2012: $1395 for 93 students

Required

Determine if the price is proportional to number of students

To do this, we simply divide the price by number of students in each year.

[tex]Ratio = \frac{Price}{Students}[/tex]

In 2010

[tex]Ratio = \frac{\$1260}{84}[/tex]

[tex]Ratio = 15[/tex]

In 2011

[tex]Ratio = \frac{1050}{70}[/tex]

[tex]Ratio = 15[/tex]

In 2012:

[tex]Ratio = \frac{1395}{93}[/tex]

[tex]Ratio = 15[/tex]

Notice that the ratio in the 3 years is 15.

Hence, the price is proportional to number of students


Related Questions

Help please helppppp ASAP

Answers

I have no clue sorry

Geometry, need help answering this.

Answers

Answer:

HI = GJ ( GIVEN) s

GH = IJ ( given) s

Gi = Gi ( common side) s

And boom

GHI = Gji ( mention above eq, being SSS)

S mean side

If it is about 240 miles to the International Space Station, how many kilometers is 240 miles? Round your answer to the nearest whole kilometer. Press enter to interact with the item, and press tab button or down arrow until reaching the Submit button once the item is selected A388 kilometers B385 kilometers C387 kilometers D386 kilometers

Answers

Km = miles x 1.609

240 x 1.609 = 386.24 km

The answer is D. 386 kilometers

Answer:

D. 386

Step-by-step explanation:

If we know that we have 240 miles then we need to find the Km/m which is 1.60934 Km to 1 M, and we have the equation y= 1.60934(x), y bing the total amount of Km, or in other words, your answers, and x is the miles. Now change that x into 240 so now you have y= 1.60934(240) which comes out to 386.2416 Km or 386Km as seeing you have to round tho the nearest whole number.

What was R-kelly doing in the basement
Right answers only ;-;

Answers

Answer:

Sum he wasn't suupposed to be doing....... ;-;

Step-by-step explanation:

Gerry arrived at the bus stop x hours past noon. Dale arrived 4 hours later. Pat arrived at 5 P.M., x hours after Dale.

At what time did Gerry arrive at the bus stop? [Your answer must include an A.M. or a P.M.]

Answers

Answer:

Gerry arrived at the bus station at 12:30 P.M.

Step-by-step explanation:

From noon and 5:00 P.M. there are 5 hours.

Gerry, Dale, and Pat arrived at the bus stop within that interval, which means the sum of the times elapsed between their arrival times must be 5.

4 out of the 5 hours elapsed since Gerry and Dale's arrivals. This means there is only one hour left for twice x.

If twice x is one hour, then x is half an hour. Thus, the complete sequence of arrivals is:

Gerry arrived at the bus station at 12:30 P.M.

Dale arrived at the bus station at 4:30 P.M.

Pat arrived at the bus station at 5:00 P.M.

HELPPPP
FRACTION HAS TO BE IN DECMAL

Answers

Answer:

x intercept: (-1/7, 0) or (.14, 0)

y intercept: (0, 1/4) or (0, .25)

Step-by-step explanation:

Answer:

x- (−0.142857142857143,0)

y- (0, .25)

Step-by-step explanation:

The x-intercept:

Plug y=0 into the equation and solve the resulting equation 7x−5=−6 for x

(−1/7,0) = (−0.142857142857143,0)

The y-intercept:

Plug x=0 into the equation and solve the resulting equation −5=4y−6 for y

(0,1/4) = (0, .25)

A tower is 234 meters tall. Jaylon is looking up at the top of the tower and thinking it would be cool to string a zip line from the top of the tower to a platform that is 1.9 meters high. If the angle formed between the zip line and tower would be 76 degrees how many meters of the line is neded?

Answers

Answer:

A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.

Step-by-step explanation:

The geometrical representation of the statement is summarized in the figure below attached. The length of the line is represented by hypotenuse of the right triangle, whose value is calculated by the help of trigonometrical relations:

[tex]\cos \alpha = \frac{h}{r}[/tex] (1)

Where:

[tex]\alpha[/tex] - Angle formed between the zip line and the tower, measured in sexagesimal degrees.

[tex]h[/tex] - Vertical distance between the tower and the platform, measured in meters.

[tex]r[/tex] - Length of the zip line, measured in meters.

If we know that [tex]\alpha = 76^{\circ}[/tex] and [tex]h = 232.1\,m[/tex], then the length of the zip line is:

[tex]r = \frac{h}{\cos \alpha}[/tex]

[tex]r = \frac{232.1\,m}{\cos 76^{\circ}}[/tex]

[tex]r = 959.401\,m[/tex]

A length of 959.401 meters is needed for the zip line is needed to string it from the top of the tower to the platform.

Dontrelle received 30% off when he purchased a rare book
regularly priced at $96.50. How much did Dontrelle pay?

HELP PLEASE!!

Answers

Answer:

28.85

Step-by-step explanation:

30% 30% of $96.50 is $28.95

Answer:

$67.55

Step-by-step explanation:

30% off that was 28.95 so you subtract

In Luke's grade, there are 200 students. Currently, 25% of them are enrolled in health. How many students are enrolled in health?

Answers

Answer:

50

Step-by-step explanation:

The a value of the equation y = a(b)^x represents which of the following?

Answers

Answer:

initial starting value.

Step-by-step explanation:

I’m confused on this type of math

Answers

Answer:

all you do is add

Step-by-step explanation:

The answer is b don’t really know how to explain

Cindy did an experiment. She started out with 600 bacteria cells. She found that the growth rate of the bacteria cells was 4.1%. Create an equation for the situation that would work for any time, x.

Pls Help thx

Answers

Answer: P(t) = 600*(1.041)^t.

Step-by-step explanation:

An exponential growth can be written as:

P(t) = A*(1 + r)^t

Where:

A =  initial population = 600

r = rate of growth in decimals = 4.1%/100% = 0.041.

t = number of units of time.

Now we have a problem, we know that the growth rate is 4.1 %, but we do not know in which time units are we working.

Because is not the same if the bacteria grows a 4.1% in one day, than if the bacteria grows a 4.1% in a hour.

But that does not matter for the actual equation, because we can just define "t" as the time (like the question asks) and the equation will be:

P(t) = 600*(1 + 0.041)^t

P(t) = 600*(1.041)^t.

What is 2 (x-3) -(6x-4)

Answers

Answer:

simplify = - 4 x -2  factored = 2 (-2x - 1)

Step-by-step explanation:

pleaseee help
BRAINLIEST

Answers

Answer:

Its b

Step-by-step explanation:

if -2x-1=2 then 2+3 = 5

which is (-1,5)

Answer:

B

Step-by-step explanation:

that man's seems to be good at math as well

This assignment is hard as heck lol!

Answers

Answer:

z = 3[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Using the altitude- on- hypotenuse theorem

( leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

z² = 9 × (9 + 4) = 9 × 13 = 117 ( take square root of both sides )

z = [tex]\sqrt{117}[/tex]

  = [tex]\sqrt{9(13)}[/tex]

  = [tex]\sqrt{9}[/tex] × [tex]\sqrt{13}[/tex]

  = 3[tex]\sqrt{13}[/tex]

The table shows the temperature (y) at different altitudes (x).
This is a linear relationship. (Example 2)
2)Find the slope of this relationship

3)Find the y-intercept for this relationship

4)Write an equation in slop intercept form that represents this relationship

5)Use the equation to determine the temperature at an altitude of 5000 feet

Answers

Answer/Step-by-step explanation:

2. Using two pairs of values, (0, 59) and (2,000, 51),

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{51 - 59}{2,000 - 0} = \frac{-8}{2,000} = -\frac{1}{250} [/tex]

3. The y-intercept is the value of y when x = 0. Thus, x = 0, when y = 59. Therefore,

y-intercept (b) = 59

4. To write an equation in slope-intercept form, simply substitute m = -¹/250, and b = 59, in [tex] y = mx + b [/tex]

✅[tex] y = -\frac{1}{250}x + 59 [/tex]

5. Substitute x = 5,000 in [tex] y = -\frac{1}{250}x + 59 [/tex].

[tex] y = -\frac{1}{250}(5,000) + 59 [/tex]

[tex] y = -20 + 59 [/tex]

[tex] y = 39 [/tex]

At an altitude of 5,000 ft, temperature would be 39°F

Someone can help???
A ladder is leaning against a house. The distance to the house's edge from the bottom step is 3 ft. and the distance from the edge to the top step is 4 ft. What is the slant of the ladder?

Answers

Answer:

The slant of the ladder is 5 ft

Step-by-step explanation:

Look at the attached figure to understand this situation

a represents the distance from the edge to the top step

∵ The distance from the edge to the top step is 4 ft

a = 4 ft

b represents the distance to the house's edge from the bottom step

∵ The distance to the house's edge from the bottom step is 3 ft

b = 3 ft

c represents the slant of the ladder

∴ We need to find c

→ By using the Pythagoras Theorem

∵ c = [tex]\sqrt{a^{2}+b^{2}}[/tex]

∴ c = [tex]\sqrt{(4)^{2}+(3)^{2}}=\sqrt{16+9}=\sqrt{25}[/tex]

∵ [tex]\sqrt{25}[/tex] = 5

c = 5 ft

The slant of the ladder is 5 ft

Salvador’s investment of $2,200 in the stock market earned $528 in two years. Find the simple interest rate for this investment.

Answers

Answer:

24%

Step-by-step explanation:

Step one:

given data

Principal= $2,200

SImple interest =$528

Time = 2years

Rate = ?

Required:

Rate R

The simple interest is expressed mathematically as

SI=PRT/100

substitute we have

528=2200*R*2/100

cross multiply

528*100=2200R

divide both sides by 2200

R=52800/2200

R=24%

8. What is the scientific notation equivalent of
3,794,000?
A. 3.794 x 106
B. 3.794 x 105
C. 3.794 x 103
D. 3.794 x 10-6
Please help me

Answers

Answer:

A. 3.794 x 10^6

Step-by-step explanation:

3x + y = 6
pleaae tell me the answer

Answers

Answer:

For a line equation for the form of y=mx+b, the slope is m.

Slope of 3x+y=6: m = -3 (m equals negative 3).

Please Help Me With A Paper For Math Class!!!

Answers

Hopeful this is helpful!

Step-by-step explanation:

      a. p is 20% of 190. How many pennies do you have?

p=.20 x 190=p p= 38 pennies

      b. 190 is 200% of r. How many rare coins do you have?

190/2=r   r(rare coins) = 95 rare coins

     c. n is 60% of r. How many nickels do you have?

n=.60 x 95=n n= 57 nickels

:)

1/2(23-5) ??????????????

Answers

Answer:

9

Step-by-step explanation:

The first step is the stuff in the parenthesis which equals to 1/2(18). The next step is to multiply 18 by 1/2. That is super simple because it is just taking one half of 18 which is 9. Plz vote brainliest

I need this in terms of a mixed number 6(2P - 1) > 5P + 2

Answers

Answer:

p> 4/3

Step-by-step explanation:

There are 7 girls and 13 boys in a class at a Private
School. Of these students, 5 girls and 3 boys are in
the Running Club. What percentage of the students
at this Private School are in the Running Club?

Answers

Answer:

40%

Step-by-step explanation:

the total amount of students are 20

the people in running club are 8

8/20 = .40

.40 as a % is 40%

Answer:

40%

Step-by-step explanation:

What is the equation of the line that passes through the point (6,8) and has a slope of 1/2

Answers

Answer:

y = 1/2 + 11

Also:

Plz mark brainliest if this helped :)

I’m really stuck please help me

Answers

Answer:

well the question asked for the point (2,2)

Answer:

2,2

Step-by-step explanation:

You look at where the x is on the x axis, then you look at where the x is on the y axis to find the number, the x number always is written first.

What are the solutions of 3x^2-x+4=0

Answers

Answer: x= 1 + i √ 47/6

Step-by-step explanation: solve using the quadratic formula

Solve using the quadratic formula.

Answer:

the answer would be B

Step-by-step explanation:

solve using quadriatic formula because we are doing quadriatics

A pound of swiss cheese costs $4.00 at the grocery store. Use the
fact that 16 ounces = 1 pound to help you find the cost of 5/6 pound
of swiss cheese. pls help ASAP

Answers

Answer:

3.

..2330

Step-by-step explanation:

Which graph represents the function f(x) = -x + 3)?

Answers

Answer: y=−x+3

Step-by-step explanation: the line starts from top left between - 8 and -6 and goes through  right under 4 / half a square intercepts on the x axis right onto the 4 and to the part stopping between - 8 and -6 once again, so it basically goes diagonal just be sure to make those marks

At a homecoming game, there are 630 students and 1080 alumni in attendance. Express the
ratio of students to alumni as a fraction in simplest form. Explain its meaning,

Answers

Answer:

7/12

There are 7 students for every 12 alumni

Step-by-step explanation:

So, the ratio of students to alumni is 630/1080. This means there are 630 students for every 1080 alumni.

However, we can simplify this. If you treat this like a fraction and simplify, it will be much easier. Both numerator and denominator can be divided by 90, so that's what we'll do. 630/90 is 7. 1080/90 is 12.

Therefore, the correct answer is 7/12!

Hope I helped!!!!!!

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