Two snails climbed up a tree at a constant rate. A person measured and recorded their respective distances above the ground. • Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes. • Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds. • Determine the amount of time, in minutes, it took for the two snails to be the same distance above the ground. • Include an equation to represent each snail's distance above the ground, y, in terms of x, the minutes elapsed since the measurement started. Show your work or explain your answer.

Answers

Answer 1

Answer:

140 minutes

Step-by-step explanation:

Using m = (y₂ - y₁)/(x₂ - x₁) , we find the rate at which Snail A moves which is also the gradient of the line with which it moves. Given that Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes, x₁ = 10 min, y₁ = 12.5 inches, x₂ = 24 min and y₂ = 16 inches.

So, m = (y₂ - y₁)/(x₂ - x₁)

m = (16 - 12.5)/(24 - 10) = 3.5/14 = 0.25

Also, the equation of the line,

(y - y₁)/(x - x₁) = m

(y - 12.5)/(x - 10) = 0.25

cross-multiplying, we have

y - 12.5 = 0.25(x - 10)

expanding the bracket, we have

y - 12.5 = 0.25x - 2.5

adding 12.5 to both sides, we have

y - 12.5 + 12.5 = 0.25x - 2.5 + 12.5

y = 0.25x + 10

Since Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds, its distance y moved is y = 0.3t + 3

We now find the time x it takes the snails to cover the same distance by equating both expressions. So,

0.25x + 10 = 0.3x + 3

collecting like terms, we have

10 - 3 = 0.3x - 0.25x

7 = 0.05x

0.05x = 7

x = 7/0.05

x = 140 minutes


Related Questions


DUE TODAY HELP

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you don't have to write out your work.
True
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I think true, unless there is a loop hole.

Alicia uses 7.4 pints of white paint and blue paint to paint her bedroom walls. 2 5 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?

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Answer:

4.9

Step-by-step explanation:

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Step-by-step explanation:

What is 5/8-1/8 in the simplest form

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1/2 I think cause 4/8 is half


Answer:

1/2

Step-by-step explanation:

Write an exponential function whose graph passes through the given points (0, - 2) and (- 1, - 4)

Answers

Answer:

[tex]y = 2(0.5) {}^{x} [/tex]

Step-by-step explanation:

Use the general formula of exponential equation

[tex]y = ab {}^{x} [/tex]

Plug 0,2 into the function

[tex] - 2 = ab {}^{0} [/tex]

[tex] - 2 = a \times 1[/tex]

[tex]a = - 2[/tex]

[tex]y = - 2b {}^{x} [/tex]

[tex] - 4 = - 2b {}^{ - 1} [/tex]

[tex]2 = b {}^{ - 1} [/tex]

[tex] {2}^{ \frac{ 1}{ - 1} } [/tex]

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(HELP ME ASAP PLEASE) Line r is the image of the linear equation below after a dilation of scale factor 2 centered at (- 1, - 2) . What is the equation of the line r? (Note: you will need graph paper to complete this problem!) 6x - y = - 6

Answers

Answer:

th equation of the line can be considered a linear function equation

Step-by-step explanation:

hope it helps

2. You went out to eat with 3 friends and your meal cost $82.50. How much was the bill if
6.75% sales tax was included?
How much would you tip the waiter, if you wanted to leave a 20% tip?

Answers

Answer:

17.61

Step-by-step explanation:

82.50 x 0.0675 = 5.57

82.50 + 5.57 = 88.07

88.07 x 0.20 = 17 61

hope this helps

1. Add: 85 + (-96)


i need help

Answers

Answer: -11

Step-by-step explanation:

Who can give me the answer to this?

Answers

Answer:

x = 6

Step-by-step explanation:

9x - 11 + 57 + 80 = 180

9x + 126 = 180

9x = 54

x = 6

PLEASE HELP FAST 20 POINTS! I need A. And B.

Answers

Answer:

Diamater is independent because it will always be the constant so it will keep going up by 2

Cost is dependent because it relies on the diamater

Step-by-step explanation:

What is the measure of arc CD?
A. 124
B. 62
C. 64
D. 60
Help plz!

Answers

Answer:

Option D

Step-by-step explanation:

By inscribed angle theorem,

" Measure of an inscribed angle by the arc measures half of the measure of the arc"

m(arc BCD) = 2m(∠BED)

And m(arc BCD) = m(arc BC) + m(arc CD)

m(arc BC) + m(arc CD) = 2m(∠BED)

64° + m(arc CD) = 2(62°)

m(arc CD) = 124 - 64

                 = 60°

Option D is the answer.

The circle graph below shows the results of a survey about the number of TV's in a household. If you surveyed 250 households, how many would you predict to have 3 TV's?

Answers

Answer: answer

Step-by-step explanation: joe nuts

A new car is purchased for 25000 dollars. The value of the car depreciates at 8.25% per year. What will the value of the car be, , after 15 years?

Answers

Given:

Price of a new car = 25000

Depreciation rate = 8.25% = 0.0825

Time = 15 years.

To find:

The value of the car after 15 years.

Solution:

The exponential decay model is

[tex]y=a(1-r)^t[/tex]

Where, a is the initial value, r is the rate of decay and t is number of years.

Putting a=25000, r=0.0825 and t=15 in the above formula.

[tex]y=25000(1-0.0825)^{15}[/tex]

[tex]y=25000(0.9175)^{15}[/tex]

[tex]y=25000(0.274847)[/tex]

[tex]y=6871.175[/tex]

Therefore, the value of the car after 15 years will be 6871.175.

Here are some bank transactions from a bank account last week. Indicate which transactions represent positive values and which indicate negative values. (Note this request is different than what is in your book. Respond to each.)

Answers

Answer:

mmmmmmmmmmmmm bank

Step-by-step explanation:

anyoneknows the answer

Answers

Answer:

26 degrees

Step-by-step explanation:

Can someone find the answer key for this

Answers

Search up the name of it and type answer key

Kayla wanted to choose a statistical question for a project in her math class.
Which of the following is a statistical question?

A. How old are you?

B. How many siblings do you have?

C. What is the favorite sport of the students in your class?

D. What is the address of your school?

Answers

I’m going to go with B.

Circle a is defined as (x+5)^2 + (y+6)^2 + 16, and circle b is defined as (x+3)^2+(y+2)^2 =9. Which transformation of circle a shows that circle b is similar?

Answers

Answer:

We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)

Step-by-step explanation:

We should apply a translation prior to determine if both circles are similar. If we translate the circle A to the center of the circle B. The translation needed is the vectorial distance between both centers:

[tex]T(x,y) = B(x,y)-A(x,y)[/tex] (1)

Where:

[tex]T(x,y)[/tex] - Translation vector.

[tex]A(x,y)[/tex] - Location of the center of the circle A.

[tex]B(x,y)[/tex] - Location of the center of the circle B.

If we know that [tex]A(x,y) = (-5,-6)[/tex] and [tex]B(x,y) = (-3,-2)[/tex], then the translation vector is:

[tex]T(x,y) = (-3,-2)-(-5,-6)[/tex]

[tex]T(x,y) = (2,4)[/tex]

We should use the following transformation: [tex](x', y') = (x+2, y + 4)[/tex] (Translation of circle A to the center of the circle B)

Answer:

Step-by-step explanation:D

Find the value of x.

Answers

Answer:

x = 13

Step-by-step explanation:

3x + 5 = 44

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x = 13

Change one number in the equation below to safely land the plane.

Press "Submit" to see if the plane lands safely.

Answers

Well I need to see the equation and plane to change a number....

HELp giving brainlest and more points

Answers

Answer:

[tex]\frac{121}{16}[/tex]

Step-by-step explanation:

[tex](-2\frac{3}{4})^2\\= (-\frac{4\times2+3}{4})^2\\=(-\frac{11}{4})^2\\=\frac{121}{16}[/tex]

I really don’t know the answer lol

Answers

Answer:

30

Step-by-step explanation:

I am sure

If correct which it is, can you please mark brainliest

Angle three would also be thirty, and the other two angles (2+4) would be 180 (the degrees in a straight line ALWAYS) minus 30, which would be 150. The answer your looking for would be 30 though.

Question 6 (1 point)
Which number is a rational number?
V8

12.51831800562...

03.141592653589...

5. 6464646464...

Answers

Answer:

12.....

Step-by-step explanation:

yeah that one

A.ASA postulate
B.SAS postulate
C.SSS postulate
D.AAS theorem

Answers

I think it’s SAS postulate .
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Answers

Answer:

54 ft

Step-by-step explanation:

1/4=3 ft, if you convert the measurements to feet, it adds up to 54

Answer:

one side is 6 feet, one side is 21 feet

(21 x 2) + (6 x 2) = 54 feet

pls give brainliest

Step-by-step explanation:

Please help me!
[One Step Inequalities]

Answers

12 > x+6
Subtract 6 from both sides.
Therefore, 6 > x and x < 6.

Answer:

x<6

Step-by-step explanation:

cos B = O.05. what is the approximate measure of angle B

Answers

Use inverse cos to find the angle.

cos^-1(0.05) = B

B = 87.13401602 (don’t know what place you want the answer to be rounded to, but that’s the answer I get in my calculator.)

The value of the measure of angle B will be;

⇒ ∠ B = 87.13°

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The value is,

⇒ cos B = 0.05

Now,

Since, The value is,

⇒ cos B = 0.05

Taking cos inverse both side, we get;

⇒ cos⁻¹ cos B = cos⁻¹ 0.05

⇒ B = 87.13°

Thus, The value of angle B = 87.13°

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

rsula's grandfather gave her $20 to spend on new songs and games for her phone. Ursula has already spent $4.50 on new songs. If each game costs $1.75, how many games can Ursula buy without spending more than her grandfather gave her? Use the following inequality to solve the problem.

Answers

8 games with $1.50 remaining

Graph y ≤ (x + 2)^2.

Click on the graph until the correct graph appears.

Answers

Answer:

the first one is the correct one

Step-by-step explanation:

a great way to check this is to use demos .com

Answer:

its the first one

Step-by-step explanation:

our  vertex is (-2,0)

so replace it in the equation y ≤ (x + 2)^2

so, 0 ≤ (-2 + 2)^2

= 0 ≤ (-4)^2

= 0 ≤ 16

look at that statement, is 0 less than or equal to 16? Yes. Therefore it is correct, so you shade out side of the parabola.

TIP: If the parabola opens up and:

        y <, then shade outside.

        y >, then shade inside.

Do the opposite if the parabola opens down.

An ice tray holds 12 ice cubes. If the total volume of the ice in the
tray is 12 in. what is the total surface area of the ice cubes?

Answers

Answer:

the cubes are 1 in on all sides

but...

since there's gaps its more likely that there a 1/2 in or 3/4 in

Step-by-step explanation:

12/12=1

Answer:

24 ice sufaces

Step-by-step explanation:

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