Ava and Mary are 10 miles apart on a path when they start moving toward each other. Ava runs at a constant speed of 4 miles per hour, while Mary walks at a constant speed of 1 miles per hour. How long does it take until they meet?

Answers

Answer 1

Answer:

Step-by-step explanation:

You are after time. You know the total distance. They start off at the same time and meet after t hours

Let the meeting time = t

Let the distance from Mary's standpoint be d

Mary

d = r * t

r = 1 mile / hour

t = ?

Ava

d = r*t

d for Ava = 10 - d

r = 4 mile / hour

Solution

10 - d = 4 * t

The time is the same for both people

Ava: divide both sides by 4

10/4 - d/4 = t

Mary

d = 1 * t

d = t

10/4 - d/4 = d        Add d/4 to both sides.

10/4 = d + d/4

10/4 = 5d / 4        Multiply both sides by 4

10 = 5d                Divide both sides by 5

10/5 = 5d/5

d = 2

Since from Mary we have d = t

They will meet in 2 hours.


Related Questions

Find the value of x need help

Answers

Answer:

x = 13

Step-by-step explanation:

180-52=10x-2

130=10x

13=x

Which equation would NOT represent a function?

Answers

Answer:

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

Step-by-step explanation:

all of the other equations are functions as y is to the power of 1. since y is to the power of 2 in answer choice A, it would form a sideways parabola that does not pass the vertical line test.

Answer:

the answer is a because I did the math

40x^-4 y^-6/(over)10x^-5 y^5

Answers

Answer:

4x/y¹¹

Step-by-step explanation:

1) take out constants

40/10 * x⁻⁴y⁻⁶/x⁻⁵y⁵

2) simplify 40/10 to 4

4 * x⁻⁴y⁻⁶/x⁻⁵y⁵

3) Use Quotient Rule: xᵃ/xᵇ=xᵃ⁻ᵇ

4x⁻⁴⁺⁵y⁻⁶⁻⁵

4) Simplify -4 + 5 to 1

4x¹y⁻⁶⁻⁵

5) simplify -6-5 to -11

4x¹y⁻¹¹

6) use rule of one: ₓ¹=ₓ

4xy⁻¹¹

7) use negative power rule: x⁻ᵃ=1/xᵃ

4x * 1/y¹¹

8) simplify

4x/y¹¹

plssssssssss help me Graph y= –73x+2.

Answers

Refer to the attachment for the graph.

[tex]\mathbb{MIREU} [/tex]

(02.06)If a piece of ribbon is 6 and 1 over 4. feet long, how long is it in inches? 25 inches 72 inches 75 inches 84 inches

Answers

Answer:

C

Step-by-step explanation:

1 foot = 12 inches                          Find 1/4 foot in inches

1/4 a foot = 1/4 * 12 = 3 inches

6 1/4 feet = (6 + 1/4) * 12

=72 + 3

75 inches

A town’s population increases at a constant rate. In 2010 the population was 56,000. By 2012 the population had increased to 81,000. If this trend continues, predict the population in 2016.

Answers

The approximate population in 2016 is 91, 604 population

Let the time taken by the population to increase be "t"Let the number of the population be P

The exponential equation representing the statement is [tex]P=P_0e^t[/tex]

If in 2010 the population was 56,000, then at t = 0, P0 = 56000

Substituting into the formula will give:

P = 56000

If by 2012 the population had increased to 81,000, then:

81000 =  56000e^12k

81000/56000 = e^12k

1.4464 = e^12k

ln1.4464 = 12k

0.3691 = 12k

k = 0.3690/12

k = 0.03076

Get the prediction of the population in 2016.

[tex]P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70[/tex]

Hence the approximate population in 2016 is 91, 604 population

Learn more on exponential function here:https://brainly.com/question/2456547

Equation for 13 divided by 4 equals 3.25

Answers

Answer: 13 ÷ 4 = 3.25 or [tex]\frac{13}{4} = 3.25[/tex] (Both means the same thing but you can pick which equation you want0

Step-by-step explanation: Hope this helps! :D

4. Molly has 20 tomato plants to arrange in her garden. What are all the ways Molly can arrange the tomato plants in an array?​

Answers

The number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways

Find the image attached. From the figure, we can see that there are 6 rows in the array.

If there are 20 tomato plants, the ways Molly can arrange the tomato plants in an array is expressed according to the permutation formula:

20P6 = 20!/(20-6)!

20P6 = 20!/14!

20P6 =  20 * 19 * 18 * 17 * 16 * 15

20P6 = 27,907,200

Hence the number of ways Molly can arrange the tomato plants in an array is 27,907,200 ways

Learn more on permutation formula here: https://brainly.com/question/12468032

help me plssssssssssssss

Answers

multipley by 2, to get the answer

Select the correct answer. This table represents the boiling point of water at different altitudes.Which equation represents water's boiling point (y) based on the change in altitude (x)? Altitude (thousands of feet) Boiling Point of Water (Fahrenheit) (sea level) 0 212 0.5 211.1 1.0 210 2.0 208.4 2.5 207.5 3.0 206.6 4.0 204.8 4.5 203.9

Answers

Answer:

Step-by-step explanation:

The net income reported on the income statement for the current year was $135,500 depreciation recorded on store equipment for the year amounted to $22,400 balances of the current asset and current libaility accounts at the beginning and end of the year are as follows

It costs $6.50 per fidget popper. How much would it cost to get 8 fidget poppers.

Answers

Answer:

$52

Step-by-step explanation:

8*6.50

PLEASE HELP!!! I ONLY HAVE A FEW MINUTES!!

Answers

Answer:

y=0.25x-6

Step-by-step explanation:

You deposit $300 each month into an account earning 4% interest compounded monthly. How much will you have in the account in 35 years and how much total interest will you earn?

Answers

Answer:

Step-by-step explanation:

FV = PMT [((1 + r)ⁿ - 1) / r]

PMT = $300

r = 0.04/12

n = 35(12) = 420

FV = $300 [((1 + (0.04/12))⁴²⁰ - 1) / (0.04/12)] = $274,119.28

I = $274,119.28 - 300(420) = $148,119.28

NO LINKS!!!

Purchasing a TV that is 30% off will save $250.
a. What is the part, percent, and whole.
b. What is the original price of the TV?

Answers

Answer:

  a. part: $250; percent: 30%; whole: $833.33

  b. $833.33

Step-by-step explanation:

a. The part is given as $250; the percentage that represents is given as 30%.

The whole is the ratio of the part to the percent:

  $250/30% = $250/0.30 = $833.33 . . . whole

__

b. The original price is the "whole" of which 30% is the part.

  original price: $833.33

what is an equation of the line that passes through points (-7,-5) and (-7,-2)?

Answers

Answer:

x=-7

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-(-5))/(-7-(-7))

m=(-2+5)/(-7+7)

m=3/(0)

undefined

x=-7.

Select all equations that have 5
as a solution by using substitution to determine if the eqution is true.

Answers

1 is A I am sure I hope this helped

a positive integer is 9 more than 14 times another. their product is 12035. Find the two integers

Answers

Answer:

415 and 29

Step-by-step explanation:

x = 14y+9

xy = 12035

(14y+9)y = 12035

y = -415/14 and 29 but it's a positive integer

so y = 29

x = 14(29)+9

x = 415

Mandy spins a biased spinner 3 times. The probability that the spinner will land on blue on all 3 spins is 27/512 Calculate the probability that when the spinner is spun 3 times it does not land on blue on any of the spins​

Answers

Answer:

0.158203125

i think

estimate 127600 multipled by 0.93​

Answers

Answer : 115,200

Step - by - step explanation :

sorry if this is wrong !

127,600 --> 128,000

0.93 --> 0.90

128,000 x 0.90 = 115,200

26.52 x 90.7 step by step

Answers

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]26.52[/tex] × [tex]90.7 = 2405.364[/tex]

[tex]OR:[/tex]

Here's a paper I wrote of your answer.

Sorry, if my picture is blurry.

Hopefully, this helps you!!

[tex]Sokka[/tex]

The sum of three consecutive odd numbers is 987. Find the numbers.

Answers

Answer:

Step-by-step explanation:

Let first odd number = a, second odd number = a +2, third odd number = a + 4

a + a + 2 + a + 4 = 987

3a + 6 = 987

3a = 981

a = 327

First odd number = a = 327

Second odd number = a + 2 = 329

Third odd number = a + 4 = 331

HELPPP PLEASE!! HELPP ASAPP

Answers

Answer:

I would go option a

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

Option 2 is better because for option one after 15 years your going up $7500 and with option 2 your going up 14062.5 in 15 years.

HELP THIS IS MY 2ND ATTEMPT

Answers

Answer:

8 1/10

Step-by-step explanation:

mark brainliest if correct

11. Given a matrix A, what is A^1?
A=[0 12 0 1]

Answers

[tex]\text{Since det(A) = 0, the inverse of the matrix does not exist.}[/tex]

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

v' (0.5,1) , u' (0,1) , t' (-0.5,0) , w' (-0.5, -1)

PLS HELP HELLLLLOPPPPPP PLEASSSS BRO IM LITERALLY GONNA CRY

Answers

Answer:

F The last option

{ n = 7 h - 2}

{ n = 4 h - 2}

Step-by-step explanation: I HOPE THIS HELPS

Answer:

it's

n=2h+4

n=2h+7

(and vice versa)

The given represent 7 necklace and 4 necklace,that means add it to the no.of necklace they can make every hour and that is 2. So the correct equation is in the above answers.

Step-by-step explanation:

I hope it helps you a lot dude lovelots

#LEARN WITH BRAINLY

Please please hurry!!!! Answer this question

Answers

we cant if we dont know the points

The value of the x intercept for the graph of 4x-5y=40 is

Answers

Answer: x=10

Step-by-step explanation:To find the x-intercept, you have to set y=0.

4x-5y=40

4x-5(0)=40

4x-0=40

4x=40

Then divide both sides by 4 to get x=10

Hope this helps! :D

Mrs. Jerry wants her 25 students to each have 48 buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are 15 buttons in each bag. How many bags of buttons does Mrs. Jeremy need to buy so she has exactly enough buttons for 25 students?

Answers

Answer:

3 bags

Step-by-step explanation:

add 15 x 15 x 15 and you should have enough bags

Henry's garden which is 1/4 of an acre is to be divided into 12 equal size areas what is the size of each area?

Answers

The size of each area is 3x

Word problems in mathematics involve arithmetic operations and algebraic equations employed to solve real-life cases.

From the given parameters.

Henry's garden is said to be 1/4 of an acre.If an acre = xThen, Henry's garden is (1/4)x

So, Henry's garden is said to be divided into 12 equal size areas.

The size of each area is;

[tex]\mathbf{= \dfrac{\dfrac{1}{4}x}{12}}[/tex]

[tex]\mathbf{= \dfrac{1}{4}(x) \times \dfrac{12}{1}}[/tex]

= 3x

Learn more about word problems in mathematics here:

https://brainly.com/question/21405634

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