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

combine like terms (3x-2y+z)+(5z-8x-5y)+(-15x+8z)

Answers

Answer:

−20−7+14

Step-by-step explanation:

Find two numbers whose sum 7500 and whose product is the maximum value.
(Round your answer to the nearest whole number.)
Blank = 1
Blank = 2

Answers

The two numbers whose sum is 7500 and whose product  is a maximum value are 3750 and 3750.

Let the two numbers be x and y.

Since their sum equals 7500,

x + y = 7500  (1)

Their product f(x,y) = xy  (2)

We desire to maximize the product.

From (1), x = 7500 - y

Substituting x into (2), we have

f(x,y) = xy

f(x,y) = (7500 - y)y

f(y) = 7500y - y²

To maximize the product, we find the value of y that maximizes f(y), we differentiate f(y) and equate it to zero.

So, df(y)/dy = d(7500y - y²)/dy

f'(y)/dy = d(7500y)/dy - dy²/dy

f'(y)/dy = 7500 - 2y

Equating it to zero, we have

7500 - 2y = 0

7500 = 2y

y = 7500/2

y = 3750

To determine if this gives a maximum for f(y), we differentiate f'(y) with respect to y.

So, f"(y) = d(7500 - 2y)dy

f"(y) = 0 - 2

f"(y) = -2 < 0.

So, y = 3750 gives a maximum for f(y) = f(x, y)

Since x = 7500 - y

Substituing y = 3750 into the equation, we have

x = 7500 - 3750

x = 3750

So, the two numbers whose sum is 7500 and whose product is a maximum product are 3750 and 3750.

Learn more about product of two numbers here:

https://brainly.com/question/15607519

helpp anyone?? :(
No linkssss porfavorr plaesaaje cjkq

Answers

Answer:

127/100 = 1.27

1.4

1 whole and 1/3 = 1.5

Step-by-step explanation:

Hope this helps

May I get Braineist pls

-2(x-6)=6 help me out

Answers

Answer:

x = 9

Step-by-step explanation:

i took the quiz

[tex]\mathfrak{-2(x-6)=6} [/tex]

[tex]\mathfrak{-2x+12=6} [/tex]

[tex]\mathfrak{-2x=6-12} [/tex]

[tex]\mathfrak{-2x=-6} [/tex]

[tex]\boxed{\mathfrak{x=3} }[/tex]

what is the unit rate if there are 1,760 in 8 servings

Answers

Answer:

Unit rate = 220 calories

Step-by-step explanation:

In order to find the unit rate, you simply have to divide the total number of calories (1760) by the number of servings (8).

1760/8=220.

Therefore, the unit rate is 220 calories.

A survey found that in a sample of 75 families, 26 owned dogs. A survey done 15 years ago found that in a sample of 60 families, 26 owned dogs. Find the 95% confidence intervals of the true difference in the proportions.

Answers

The difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.

Given that a survey found that in a sample of 75 families, 26 owned dogs, while a survey done 15 years ago found that in a sample of 60 families, 26 owned dogs, to find the 95% confidence intervals of the true difference in the proportions, the following calculation must be performed:

75 = 100 26 = X 26 x 100/75 = X 34.66 = X 34.66 x 0.95 = 32.93 34.66 x 1.05 = 36.40 60 = 100 26 = X 26 x 100/60 = X 43.33 = X 43.33 x 0.95 = 41.16 43.33 x 1.05 = 45.50 45.50 - 32.93 = 12.57 41.16 - 36.40 = 4.76

Therefore, the difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.

Learn more about maths in https://brainly.com/question/25989509

help plssssssssssssssssssssssssssssssssssssss

Answers

ANSWER: 0.125 cubic cm

Explain this picture ​

Answers

my spine :)))))))))))))

1plss help, it time.............................

Answers

Answer:

24 in

Step-by-step explanation:

Compare "like" things:

Big/small = Big/small

30/L = 10/8

Crossmultiply

240 = 10L

Divide by 10

240/10 = 10L/10

24 = L

Multiply the numerator and the denominator of the given fraction by the following factor to find an equivalent fraction
Fraction: 8/15
Factor: 4x

Answers

Answer:

32/60

Step-by-step explanation:

because you are multiplying both the numerator and denominator by the same factor, you will get the same ratio (producing an equivalent fraction)

numerator: 8*4=32

denominator: 15*4=60

final equivalent fraction: 32/60

Look at the graph below. What is the slope of the line?

A. - 1/2
B - 2
C. 1/2
D. 2

Answers

Answer:

1/2

Step-by-step explanation:

We know two points on the line

(-1,1) and (3,3)

The slope of a line is given by

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

   = ( 3-1)/(3- -1)

    = (3-1) /(3+1)

    = ( 2/4

   = 1/2

Robin is making floral arrangements for a party. Each arrangement has 8 roses and 10 carnations. Each carnation costs $0.75 and each rose costs $1.85. Which expression represents the total cost for one arrangement? A 8 + 10 + (0.75 + 1.85) B (8 + 0.75)(10 + 1.85) C 10(0.75) + 8(1.85) D 8(0.75) + 10(1.85)

Answers

The correct answer is C

Giải phương trình vi phân sau
Y"=2y'+y=e^x

Answers

You likely mean to write the differential equation,

y'' - 2y' + y = exp(x)

The homogeneous part

y'' - 2y' + y = 0

has characteristic equation

r² - 2r + 1 = (r - 1)² = 0

with a root at r = 1 with multiplicity 2, so the characteristic solution is

y = C₁ exp(x) + C₂ x exp(x)

For the particular solution, we assume an ansatz

y = ax² exp(x)

where a is an unknown constant. Differentiating the ansatz twice:

y' = ax² exp(x) + 2ax exp(x) = (ax² + 2ax) exp(x)

y'' = (ax² + 2ax) exp(x) + (2ax + 2a) exp(x) = (ax² + 4ax + 2a) exp(x)

Substitute y and its derivatives into the DE:

(ax² + 4ax + 2a) exp(x) - 2 (ax² + 2ax) exp(x) + ax² exp(x) = exp(x)

Solve for a :

(ax² + 4ax + 2a) - 2 (ax² + 2ax) + ax² = 1

2a = 1

a = 1/2

Then the particular solution is

y = 1/2 x² exp(x)

The general solution is then

y = C₁ exp(x) + C₂ x exp(x) + 1/2 x² exp(x)

WILL MARK BRAINLIEST The width of a table is 2 feet less than the length. The area is 20 square feet. Find the dimensions. Show and
explain all work using mathematical concepts in this module.

Answers

Answer:

  length ≈ 5.583 ft

  width ≈ 3.583 ft

Step-by-step explanation:

If we let x represent the length of the table in feet, then the width is (x-2). The area is ...

  A = LW

  20 = x(x -2)

Writing this in standard form gives ...

  x^2 -2x -20 = 0

The coefficients used in the quadratic formula are a=1, b=-2, c=-20. The solutions are ...

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}=\dfrac{-(-2)\pm\sqrt{(-2)^2-4(1)(-20)}}{2(1)}\\\\=\dfrac{2\pm\sqrt{4+80}}{2}=1\pm\sqrt{21}[/tex]

Of these values, the only one that makes sense is ...

  length = 1+√21 ≈ 5.583 ft

  width = length -2 ≈ 3.583 ft

Let width is x

length be x+2

Area=Length ×Breadthx(x+2)=20x²+2x=20x²+2x-20=0

On solving

we get

x is around 3.58 or 3.6ft

Width=3.6ftLength=3.6+2=5.6ft

Write an equation of the line passes through (4,1) and is parallel to y=-2x+7 .

Answers

Answer:

y= -2x+9

Step-by-step explanation:

First of all, since they need to be parallel, they must have the same slope to never intercept. Next, you can use a graphing calculator to test y-intercepts like desmos. You will find that 9 works, as it goes through (4,1) and never intercepts with the 1st line.

On a number line, where would 2/10 be located? Choose all answers that make
a true statement.


Answers

It would be located on the same spot as 1/5 and to the left of 3/10

what does 5/6+1/3 equal

Answers

Answer:

5/6 + 1/3 = 7/6

Step-by-step explanation:

Mark has taken four tests so far this quarter. His grades were 88%, 95%, 80%, and 92%. What is the mean of his test scores?

Answers

88.75

88+95+80+92= 355
355 divided by 4= 88.75

Answer:

88.75%

Step-by-step explanation:

add all the terms given = 355

there are 4 terms.in this set.

355 ÷ 4 = 88.75

help me please please​

Answers

Answer:

i think its D or 14/16

Step-by-step explanation:

Answer:

[tex]\frac{14}{16}[/tex]

Step-by-step explanation:

[tex]\frac{1}{4}[/tex] + [tex]\frac{10}{16}[/tex]

Before adding we require the denominators of both fractions to be common

Multiply numerator/ denominator of first fraction by 4

= [tex]\frac{1(4)}{4(4)}[/tex] + [tex]\frac{10}{16}[/tex]

= [tex]\frac{4}{16}[/tex] + [tex]\frac{10}{16}[/tex] ( now add the numerators leaving the common denominator )

= [tex]\frac{4+10}{16}[/tex]

= [tex]\frac{14}{16}[/tex]

The fraction can be simplified by dividing the numerator/ denominator by 2 to

[tex]\frac{7}{8}[/tex]

How many terms does the expression 14 + 9 have? What are they? Explain how you know.

Answers

Answer:

23, so 1. i know because i added 14+9 and got 23. im sorry if you meant like a definition term, please comment if thats what you meant. because i'll help you then.

Step-by-step explanation:

Please help?!! Hurry please!!

Answers

Answer:

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

Explanation:

[tex] \frac{ {m}^{2} - m - 2}{ {m}^{2} - 1} \\ = \frac{ {m}^{2} - 2m + m - 2 }{ {(m)}^{2} - {(1)}^{2} } \\ = \frac{ m(m - 2) + 1(m - 2)}{(m - 1)(m + 1)} \\ = \frac{(m + 1)(m - 2)}{(m - 1)(m +1) } \\ = \frac{(m - 2)}{(m - 1)} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

a box contains 4 red balls and 6 purple balls. Ezra takes out a ball, puts it back and then takes out another ball. what is the probability that both balls were red

Answers

Answer:

16/100 = 4/25

Step-by-step explanation:

4/10 * 4/10 = 16/100

Help me I need the math problem

Answers

Answer:

y=4x-3

Step-by-step explanation:

Answer:

DO i care... no ask your dam teacher won der why u aint pass

Step-by-step explanation:

A statistics teacher was interested in the relationship between the number of days students waited to start a project
and the score that project received (out of 100 points). Information was collected on several students and was used
to obtain the regression equation ý= -3.64x + 96.5, where x represents the number of procrastination days and ý is
the predicted grade. What is the predicted grade of a student who procrastinated for 1 week?
O24.59
71.02
O 92.86
O. 96.5

Answers

Answer:

71.02

Step-by-step explanation:

x is the number of days

1 week = 7 days

-3.64 (7) + 96.5 = 71.02

r less than one-eighth

Answers

Answer:

what did you mean

Step-by-step explanation:

is not a question

What is the vertex of the absolute value function below?
(will give brainliest)!!!
(–3, –2)
(–3, 2)
(2, –3)
(2, 3)

Answers

Answer:

(-3,2)

Step-by-step explanation:

Go where the two coordinates match, you'll see that it's (-3,2).

I see that that's Edge2021, I know how that feels. :/

Hope this helped! :)

Answer:

 (-3, 2)

Step-by-step explanation:

What is the LCD/LCM of this equation
-12.2 + 2.8W - 8.8 = 1.05w

Answers

Answer: 2.8 W. 2.6 W. 2.4 W. 2.2 W. 2.0 W. 1.9 W. 1.7 W

Step-by-step explanation:

Answer:

LCD/ LCM = 100

Step-by-step explanation:

- 12.2 + 2.8W - 8.8 = 1.05W

- 12 [tex]\frac{2}{10}[/tex] + 2 [tex]\frac{8}{10}[/tex] W - 8 [tex]\frac{8}{10}[/tex] = 1 [tex]\frac{5}{100}[/tex] W

- [tex]\frac{122}{10}[/tex] + [tex]\frac{28}{10}[/tex] W - [tex]\frac{88}{10}[/tex] = [tex]\frac{105}{100}[/tex] W

the LCM/ LCD is 100

Examine the figure. What is the measure of angle a?

Answers

Answer:

59

Step-by-step explanation:

90+31=121

180-121=59

Answer:

a=59

basic fact:

angles on a straight line add up to 180

Step-by-step explanation:

we can ignore b for a start

31+90+a=180

121+a=180

121+59=180

a=59

10 miles per hour is an example of an objects what?

Answers

I think the answer is speed

Step-by-step explanation:

Speed is the correct answer

You start at your school, 10 miles from your house and walk home at a rate of 2 miles per hour **negative slope since you are walking toward your house so the distance to home is DECREASING Distance from Home In Miles Distance from Home (Miles) TO 5 Time (Hours)

Answers

Answer:

Step-by-step explanation:

If you're supposed to plot that, it would be a line from (0, 10) to (5, 0)

slope would be -2 mi/hr

Other Questions
Which of the following best describes a major effect of Upton Sinclairs book The Jungle?It created a controversy that led the Supreme Court to break up a monopoly.It created a controversy that influenced President Roosevelt to take action.It exposed the scandal of railroad business practices.It prompted government reform on a state and city level. Each week, the price of oranges at the farmer's market increases by 20%.The price of oranges this week is $4.50.What was the price last week? Why was King George so surprised by Washingtons decision to retire to Mount Vernon at the end of the war? Simplify. Dividing radicals Why does gravity on Earth have a stronger attraction with you than the sun has with you? Plsssssss help I really need this rn Two billiard balls move toward each other on a table. The mass of the number three ball, m1, is 5 g with a velocity of 3 m/s. The mass of the eight ball, m2, is 6 g with a velocity of 1 m/s. After the balls collide, they bounce off each other. The number three ball moves off with a velocity of 5 m/s. What is the final velocity and direction of the eight ball? 8. 6 m/s 5. 7 m/s "5. 7 m/s "8. 6 m/s. Studies have shown that young children will learn more from educational media when what happens? a. They watch it in groups. b. They watch brightly colored shows. c. They watch the media with their parents. d. They watch the media without distractions. A jar is filled with pennies, nickels, and dimes. The probability of picking a penny is 14, and the probability of picking a dime is 13 . What is the probability of picking a nickel? what geographic and natural resources allowed ancient egypt to be so successful? what is 12/3/5 simplified? The example of using biotechnology in heart surgery is used to illustrate which of thefollowing points?Even advances in biotechnology cannot save every life.There are many life-saving benefits of biotechnology.The ethical issues in biotechnology do not apply to surgical fields.The cost of advances in biotechnology is too high to make this care available toall. Find the missing quantity in the double number line. What are the correct answers? Very easy question if you speak Spanish. Select all of the following ways that you can achieve good and inexpensive muscle strengthening.deep knee bendslight, free weightssit ups (crunches)pull ups200 pound barbellspush ups 2x-y=3X+y=3 Slove equations algebraially 9. Which sentence is the best example of a rhetorical device?A. What will we do when our planet can no longer support us?B. We need to start thinking hard about the choices we make.C. Thousands of pounds of toxic waste are dumped into the ocean.D. The best thing you can do for the planet is reduce the evidence that you were here. who killed eren yeager write each decimal in words. 2.598 On 12/31/Year 1 Passey Co. acquired a 100% interest inSolomon Co. by exchanging 10000 shares of its common stock for100000 shares of Solomons common stock. The fair market value ofPasseys common stock on December 31 Year 1 was $9 per share andthe fair value of Solomons was $3.50 per share.Additional information as of December 31 Year 1 is as follows:Solomon Co. Book Values Fair Values Current assets $115000 $115000Plant assets 200000 255000Liabilities 10000 10000Passey Co.Plant assets$1700000 $1800000Passeys consolidated financial statements as of December 31 Year1 would report plant assets at:__________.i. $1700000ii. $1800000iii. $1955000iv. $2055000 What effect does the program have on Rameck? .