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

(1/p-p)(1/p-q)-q/p^2(1/q+qp^2)​

Answers

The answer for this is undefined

The value of the function f(x) is 600 when x=0 and decreases by 9% for every one-unit increase in x. Complete the equation that represents the function f(x)
its a open answer please help

Answers

Answer:

[tex]f(x)=600(0.09)^x[/tex]

Step-by-step explanation:

Since f(x) decreases by 9% for every one unit increase in x, it means that f(x) is an exponential decay function. An exponential function is given by:

f(x) = [tex]ab^x[/tex]; where a is the value of f(x) at x = 0, b is the multiplier and is less than 0 for a decay.

Therefore since at x = 0, f(x) = 0. Hence a = 600. Also, b = 9% = 0.09.

The function f(x) can hence be represented as:

[tex]f(x)=600(0.09)^x[/tex]

Find the percentage change from
40 to 60.

Answers

Answer:

50%

thats the answer

y= - 2x + 4
2x + y = 4

Answers

Answer:

Infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/CoefficientsCoordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -2x + 4

2x + y = 4

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                  2x + (-2x + 4) = 4Combine like terms:                                                                                         4 = 4

Here we see that 4 does indeed equal 4.

∴ the systems of equations has an infinite amount of solutions.

Answer:

Infinite amount of solutions

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right  

Equality Properties

Multiplication Property of Equality

Division Property of Equality

Addition Property of Equality

Subtraction Property of Equality

Algebra I

Terms/Coefficients

Coordinates (x, y)

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -2x + 4

2x + y = 4

Step 2: Solve for x

Substitution

Substitute in y:                                                                                                  2x + (-2x + 4) = 4

Combine like terms:                                                                                         4 = 4

Here we see that 4 does indeed equal 4.

∴ the systems of equations has an infinite amount of solutions.

Tools -
Question 6
The graph of a function includes the points (4, 5) and (21, 39).
What is the rate of change of the function?
А 34
B
0.5
С
2
O O
D
17

Answers

The answer is C.
39-5/ 21-4 = 2

Given y = 50(1.15)*, what type of
function is this?

Answers

it’s an exponential growth because 1.15 indicates that the function is increasing by 15% and the number is greater than 1

The sum of two numbers is 59 and the difference is 11

Answers

Answer:

35 and 24

Step-by-step explanation:

35 + 24 = 59

35 - 24 = 11

Answer:

24 and 35

Step-by-step explanation:

x + y = 59

x - y = 11,    then x = y + 11

substitute for x:

y + 11 + y = 59

simplify:

2y + 11 = 59

subtract 11 from each side of the equation:

2y = 48

divide both sides by 2:

y = 24

x = 35

question in pic! will give brainliest! help asap

Answers

Answer:

(5x^2+1)(4x-1) is the answer

Rachel is calculating the interest earned on a deposit of $350 in an account that earns 6% simple interest after 15 years.
I= prt
I=350(6)(15)
I=31,500
Rachel calculates the interest earned to be $31,500 as shown in her work above. Find the correct amount of interest earned.

Answers

Answer:

$315

Step-by-step explanation:

You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.

I = interest amount

P = principal amount

r = interest rate (decimal form)

t = time

Now we can plug in the values into the equation:

This means that Rachel earned $315 worth of interest in the 15 year period.

Answer: $315

Step-by-step explanation:

HAAAAAALLLLLLLPPPPPPPPPP MEEEEEEEEE

Answers

Answer:

9

Step-by-step explanation:

plug -20 into x

-20+3y=7

solve

add 20 to both sides

3y=27

y=9

The cylindrical block has a height of 4 inches and a radius of 2 inches find the total surface area of the block

Answers

Answer:

75.4 square inches

Step-by-step explanation:

The cylindrical block has a height of 4 inches and a radius of 2 inches find the total surface area of the block

The formula for the Total surface area of a cylinder

= 2πr (r + h)

= 2 × π × 2( 2 + 4)

= 75.398223686 square inches

= 75.4 square inches

The total surface area of the cylindrical block is 75.4 square inches.

A doll's house is
1/8
the size of a real house.
The length of the doll's house is 1.5m.
How long is the real house?

Answers

Answer:

12m,

Step-by-step explanation:

1.5 times 8 =12

Collin is paid £99.44 for a 8 hour shift what is Collins pay per hour

Answers

he is paid £12.43 per hour

I need help on this and if you the first person to get it right i will give you BRANLIST​

Answers

Answer:

D

Step-by-step explanation:

Since x is squared, that's a non-linear equation because it's the only answer that, when graphed, doesn't form a straight line

Letter d. Hope that helps

Carlos landlord added a markup of 6.5% to their October rent . Carlos rent would have been 750 what is the cost of his rent after the markup​

Answers

Answer:

c

Step-by-step explanation:

dont know if i am right

URGENT HELP PLZ ILL GIVE BRAINLIEST!!!

Answers

Answer:

36

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees

<A+ <B+ <C = 180

2x+6x+2x = 180

10x = 180

Divide by 10

10x/10 = 180/10

x = 18

We want to find <C

<C = 2x

     = 2*18

    = 36

y=3/4x+2 linear or non linear

Answers

Answer:

linear

Step-by-step explanation:

What is the slope of the line through the points (-4, 2) and (-16, -6)? ​

Answers

Answer:

m=2/3

Step-by-step explanation:

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.

Please help!! Geometry, will mark brainliest!

Answers

Answer:

n = 36

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , that is

AB = DC , substitute values

[tex]\frac{2}{3}[/tex] n - 5 = [tex]\frac{1}{3}[/tex] n + 7 ( multiply through by 3 to clear the fractions )

2n - 15 = n + 21 ( subtract n from both sides )

n - 15 = 21 ( add 15 to both sides )

n = 36

Answer:

n = 36

Step-by-step explanation:

AB = DC because it is a parallelogram

so:

2/3n - 5= 1/3n + 7

simplify by adding 5 to each side of the equation:

2/3n = 1/3n + 12

simplify by subtracting 1/3n from both sides of the equation:

1/3n = 12

multiply both sides of the equation by 3:

n = 36

Please answer!!! I’ll make brainliest

Answers

Answer:

10.3

Step-by-step explanation:

The question is asking to find the length of the hypotenuse of the triangle. This requires us to use the Pythagorean theorem. The legs measure 9 and 5, so we use these to solve for c.

[tex]9^{2} + 5^{2} =c^{2} \\81 + 25 = c^{2} \\106 = c^{2} \\[/tex]                            

We find the square root of both sides to find the value of c.

10.295 ≈ c

Rounded to the nearest tenth, c ≈ 10.3. The answer is 10.3

Is 16t - 3t equivalent 3t - 16t

Answers

Answer:

No, 16t -3t equals 13t while 3t - 16t equals -13t

Answer:

No,

16t= 16x2=32

3t=3x2=6

32-6=26

3t=3x2=6

16x2=32

6-32=-26

Step-by-step explanation:

t=2?

Samantha and her children went into a grocery store and she bought $7 worth of
bananas and peaches. Each banana costs $0.40 and each peach costs $0.50. She
bought a total of 15 bananas and peaches altogether. Determine the number of
bananas and the number of peaches that Samantha bought.

Answers

Answer:

5 Bananas and 10 peaches.

Step-by-step explanation:

.4 x 5 = 2

.5 x 10 = 5

5 + 2 = 7

Question 16
What is the slope of a line passing through (2, 2) and (3,5)?

Answers

5 because of slope equation

Sam listed the weighs of his friends. They were 98 , 95 , 64 and 93 pounds. Sam said there were no outliers. Do you agree? Explain ?

Answers

Answer:

No, 64 doesn't fit

Step-by-step explanation:

64 is an outlier

since it lies too far from the other numbers

Kelly sent packages to her 4 cousins. The
weight of each package was between
12.56 ounces and 15.4 ounces.
Which of the following could be the total
weight of the packages that Kelly sent?

Answers

Answer:

c

Step-by-step explanation:

got it right

Step-by-step explanation:

the total weght could be 15,4_12,56=2,84

PLS HELP ILL MARK BRAINLIEST THANK U

Answers

Answer:

9,11,16. 4,6,7. 6,8,12

Right. Acute. obtuse

Step-by-step explanation:

obtuse 9,11,16

acute 4,6,7

obtuse 6,8,12

Find the probability that you will roll an even number exactly 5 times when you:

roll a six-sided number cube 10 times.
P =0.246

roll a six-sided number cube 20 times.
P =0.015

Explain why the second result is less.

Answers

Because you are rolling the cube more times, the probability of rolling an even number decreases. You have to divide by a bigger number, which always means the result will be smaller.

Please mark brainliest would greatly be appreciated.

Answer:

Sample Response: As the number of trials changes, the distribution changes. Since there is a 50% chance of rolling an even number, having a small number of successes is less likely when the number of rolls increases.

Step-by-step explanation:

I just did the Assignment on EDGE2020 and it's 200% correct!  

Also, heart and rate if you found this answer helpful!! :) (P.S It makes me feel good to know I helped someone today!!)  :)  

5.975 x 1024 plsss solve it​

Answers

The answer will be 6118.4

In a particular week, Mary
worked 8 hours per day for 3
days and 4 hours per day for 2
days. She was paid $10 per hour.
How much did she earn for that
week?

A. $ 120.
B. $ 320.
C. $ 400.
D. $ 600.​

Answers

Answer:

B. $ 320

Step-by-step explanation:

[8(3) + 4(2)]10

(24 + 8)10

320

THE ANSWER WAS IS: B. $320
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