Irving lives in Appletown, and plans to drive along Highway 42, a straight highway that leads to Bananatown, located 143 miles east and 45 miles north. Carol lives in Coconutville, located 98 miles east and 32 miles south of Appletown. Highway 86 runs directly north from Coconutville, and junctions with Highway 42 before heading further north to Durianville. Carol and Irving are planning to meet up at park-and-ride at the junction of the highways and carpool to Bananatown. Irving leaves Appletown at 8am, driving his usual 45 miles per hour. If Carol leaves Coconutville at 9am, how fast will she need to drive to arrive at the park-and-ride the same time as Irving?

Answers

Answer 1

Answer:

The speed at which Carol needs to drive to meet Irvin at Bananatown at exactly the same time is approximately 47.188 miles per hour

Step-by-step explanation:

The given information are;

The location of Bananatown from Appletown = 143 miles east and 45 miles north

The location of Coconutville from Appletown = 98 miles east and 32 miles south

Taking Appletown as the origin, we have;

The slope, gradient of highway 42 = 45/143

The equation of a line representing highway 42 is given as follows;

y - 0 = 45/143 × (x - 0)

y = 45/143·x

Therefore, at Coconutville, where x = 98, we have, y = 45/143 × 98 ≈ 30.84 miles north

Total distance north Carol has to drive to get to highway 42 = 32 + 30.84 = 62.84 miles

Total distance along highway 42 Carol will drive to get to Bananatown = √((143 - 98)² + (45 - 30.84)²) ≈ 47.175 miles

Total distance Carol drives to Bananatown = 47.175 miles + 62.84 miles ≈ 110.015 miles

The total distance Irvin needs to drive to arrive at Bananatown = √(143² + 45²) ≈ 149.91

The total distance Irvin needs to drive to arrive at Bananatown ≈ 149.91  miles

The time it takes Irvin to arrive at Bananatown = (149.91 miles)/(45 mph) ≈  3.33 hours

The time he arrives at Bananatown = 8 a.m. + 3.33 hours ≈ 11.33 a.m.

The time available for Carol to meet Irvin at Bananatown at exactly the same time = 11.33 a.m. - 9 a.m. = 2.33 hours

Therefore, the speed at which Carol needs to drive = (110.015 miles)/2.33 hour ≈ 47.188 miles per hour

The speed at which Carol needs to drive to meet Irvin at Bananatown at exactly the same time ≈ 47.188 miles per hour.

Irving Lives In Appletown, And Plans To Drive Along Highway 42, A Straight Highway That Leads To Bananatown,

Related Questions

If f(x)=5(2−3x), what is the value of f(−4)?
PLZ HELP! FOR CROWN!

Answers

Step-by-step explanation:

f ( -4) = 5( 2 -3×4) = 5(2-12) = 5× (-10) = -50

Consider the following figure where l1 and l2 are parallel and cut by transversals g1
and g2.

Part A: Determine the values of m, n, v, and r.

Part B: if m|o=8p-12, then determine the value of (p/1/4)


Help please

Answers

Answer:

helppppp

Step-by-step explanation:

Answer:

m: 88

n: 112

v: 88

r: 112

Find the rate of change from the given table

Answers

260 feet per minute is the correct answer

7.
If 3 tickets to a certain show cost $13.20, what would 7 tickets cost?

What is this answer?

Answers

Answer:

$ 30.8

Step-by-step explanation:

ratio and proportion:

3 tickets  = 7 tickets

$13.20            x

then cross multiply:  3 (x) = 13.20 (7)

simplify: 3x = 92.4

solve for x = 92.4 / 3

x = $ 30.8

therefore,

7 tickets costs $ 30.8

The mass of Mercury is 3.3022 x 1023 kg, the mass of Venus is 4.8685 x 1024 kg, the mass of Earth is 5.9722 x 1024 kg, and the mass of Mars is 6.4185 x 1023 kg. These four planets are known as the inner planets. What is the approximate combined mass of all of the inner planets?

Answers

Answer:

3378.15+4985.34+6115.53+6566.13 = 21045.15

Solve the equation: 3x − x − 5 = 2(x + 2) − 9 No solution, 1, All real numbers, 0

Answers

Answer:

I hope this helps

Step-by-step explanation:

Simplifying

3x + -1x + -5 = 2(x + 2) + -9

Reorder the terms:

-5 + 3x + -1x = 2(x + 2) + -9

Combine like terms: 3x + -1x = 2x

-5 + 2x = 2(x + 2) + -9

Reorder the terms:

-5 + 2x = 2(2 + x) + -9

-5 + 2x = (2 * 2 + x * 2) + -9

-5 + 2x = (4 + 2x) + -9

Reorder the terms:

-5 + 2x = 4 + -9 + 2x

Combine like terms: 4 + -9 = -5

-5 + 2x = -5 + 2x

Add '5' to each side of the equation.

-5 + 5 + 2x = -5 + 5 + 2x

Combine like terms: -5 + 5 = 0

0 + 2x = -5 + 5 + 2x

2x = -5 + 5 + 2x

Combine like terms: -5 + 5 = 0

2x = 0 + 2x

2x = 2x

Add '-2x' to each side of the equation.

2x + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0

0 = 2x + -2x

Combine like terms: 2x + -2x = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Veronica takes of an hour to write of a page of calligraphy.
How long will it take Veronica to write one page of calligraphy?

Answers

Using proportions, it is found that it will take Veronica 4/3 of an hour to write one page of calligraphy.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, it is found that she takes 1/3 of an hour to write 1/4 of a page of calligraphy. How long it takes her to write a page?

The rule of three is:

1/3 hour - 1/4 page

x hours - 1 page

Applying cross multiplication:

[tex]\frac{x}{4} = \frac{1}{3}[/tex]

[tex]x = \frac{4}{3}[/tex]

It will take Veronica 4/3 of an hour to write one page of calligraphy.

More can be learned about proportions at https://brainly.com/question/24372153

Which of the following is an example of a
set of like terms?
a. {197, 19,y}
b. {18x, -X, 21x}
c. {15, 20, 25y}
d. {-2x, -2y, -2xy)

Answers

Answer: B


Explanation: it is the only one with all like terms.

. Paris is saving to take the SAT prep course that costs $350. So far, she has saved $180, and she
adds $17 to her savings each week. How many more weeks must she save to be able to afford
the course?


Answers

Answer:

10 weeks

Step-by-step explanation:

Use the equation 180+17w=350

PLS HELP ITS VERY EASY!

Answers

Answer:

1. 3 19/24

2. 5 19/45

Step-by-step explanation:

hope this helps! :)

If g(x) is the inverse of f(x), what is the value of f(g(2))?

Answers

Answer:

2

Step-by-step explanation:

took it on edg

Answer pplssssssssssssssss

Answers

Answer: the answer would be 248832

You would need to subtract the exponents if they are like that

So the answer would be

12^5 or 248832

Hope this helped :)

Cant figure out the two solutions, my answer was wrong so I think my method is solving it isn't right. Can someone help? :'D

Answers

Answer:

x = 133                                         x = -7

Step-by-step explanation:

| x/7 - 9| = 10

There are two solutions, one positive and one negative

x/7 - 9 = 10             x/7 - 9 = -10

Add to to each side

x/7 - 9+9 = 10+9             x/7 - 9+9 = -10+9

x/7 = 19                              x/7 = -1

Multiply each side by 7

x/7 *7 = 19 *7                             x/7*7 = -1*7

x = 133                                         x = -7

The activity in Jamal's savings account for the month of December is shown in the table below.
Jamal's Savings Account
Starting Balance
$232
Deposit
$57
Deposit
$16
Withdrawal
$28
Withdrawal
-$42
Deposit
$105
Withdrawal
-$54
What was Jamal's account balance at the end of the month?
O $534
o $410
O $286
O $54
No

Answers

Answer:The answer is 286

Step-by-step explanation:just add and subtract

Answer:

C: $286

Step-by-step explanation:

add and subtract them

Answer for MONEY. :) :)

Answers

Answer:

i would say <2= 80?

Step-by-step explanation:

im not pretty sure

Eighth grade
W.15 Find the number
You have prizes to reveal! Go
How many solutions does this equation have?
-4p + 8 = -2p
no solution
one solution
infinitely many solutions

Answers

Answer:

one solution because you combine like terms and your answer is p=4

2. In the tournament, the Tigers scored 44,
56, and 47 points in the first three games.
If their four-game tournament average
score was 52 points, how much did they
score in their final game?
B. 55
C. 58
E. None of the above

Answers

Answer:

58

Step-by-step explanation:

Where did Emory make a error?

Answers

I don’t see the problem

Answer:

Hope it help you

Stayhomestaysafe

Plz mark my answer brainliest✍️✍️

Step-by-step explanation:

Some problem in system

REAL NAME - SHRESTH DUBEY

What is 3 x 3 1/4?

Please help

Answers

Answer:

3 times 3 1/4 is 13 times 3 which is 39

Step-by-step explanation:

What is
-3/4 + 2 3/4

Answers

Answer:

2

Step-by-step explanation:

ok so let's start

were starting off with -3/4 and were adding 2 3/4 to that and it's equal to 2 3/4 subtract 3/4

-3/4 + 2 3/4 = 2 3/4 - 3/4

2 3/4 - 3/4 = 2

-3/4 + 2 3/4 = 2

it's 2 my dude or girl i don't know

Evaluate [7] + | - 3|

Answers

Answer:

=[7]+|-3| solve for the absolute value {-3 ->3}

=7+3

=10

Answer:

10

Step-by-step explanation:

Whenever you see those numbers in those specific brackets, it's asking for the absolute value of that number.

The absolute value is the distance from 0.

So, if you see -3 in those brackets, it's 3 because both -3 and 3 are 3 spaces from 0.

So 7 + 3 = 10.

need help with this please
Problem-solving Ava and Ben set the alarms on their phones to sound at 6:30 am
Both alarms sound together at 6:30 am.
Ava's alarm then sounds every 24 minutes.
Ben's alarm then sounds every 30 minutes.
Use the lowest common multiple to find out when both alarms next sound
together.​

Answers

Answer:

08:30 am

Step-by-step explanation:

30 * 1 =30            24 * 1 = 24

30* 2 = 60           24 * 2 = 48

30 * 3 = 90          24 * 3 = 72

30 * 4 = 120         24 * 4 = 96

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The lowest common multiple ist 120.

06:30 am + 120 min = 08:30 am

Can someone please answer and explain??

Answers

Answer:

no

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This number can be written as a rational number, a natural number, and a whole number.

Therefore, 12/3 is not only a rational number.

Where the red dot Located and explain please

Answers

Answer:

do u have a pic that has a red dot if u do then that would be great

Step-by-step explanation:

NEED PIC

Solve for m
y= 4mx – 5

Answers

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[tex]y = 4mx - 5[/tex]

Add sides 5

[tex]y + 5 = 4mx - 5 + 5[/tex]

[tex]y + 5 = 4mx[/tex]

[tex]y + 5 = m \times (4x)[/tex]

Divide sides 4x

[tex] \frac{y + 5}{4x} = \frac{m \times 4x}{4x} \\ [/tex]

[tex] \frac{y + 5}{4x} = m \\ [/tex]

[tex]m = \frac{y + 5}{4x} \\ [/tex]

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Isolate the variable by dividing each side by factors that don't contain the variable.

M=y/4x + 5/ 4x

Identify the initial value and rate of change for the graph shown. (4 points)

A coordinate plane graph is shown. A line passes through the y-intercept at 1 and through the point 5 comma 4.

Group of answer choices

Initial value: 1, rate of change 5 over 3.

Initial value: 1, rate of change 3 over 5.

Initial value: 3 over 5., rate of change: 0

Initial value: 5 over 3., rate of change: 0

Answers

Answer:

a

Step-by-step explanation:

Answer:

The answer is B.

Step-by-step explanation:

y=mx+b

point (5,4)

x=5

4=m(5)+1

5m=3

m=3/5

rate of change = 3/5

(3.8•10^7)-(7.7•10^7)

Answers

Answer:

=-39000000

Step-by-step explanation:

Hope this helps (:

A factory makes 23 fear of rope
per minute. How mary text of rope
will the factory make in 7 minutes,

Answers

Answer: 2346

Step-by-step explanation:

The average high temperature during the hottest month in Beijing, China, is 72°F. The average high temperature during the coldest month in Beijing is 18°F. The function t = 27 cosine (pi/6(m-6)) + 45, where m represents the number of months after January, models the temperature throughout the year in Beijing.

What is the first month in the year when the temperature reaches 55°F?
A. March
B. April
C. July
D. September

Answers

Answer:

It's April

Step-by-step explanation:

Answer: B

April

Step-by-step explanation:

Line g has an equation of y = -9x - 9. Perpendicular to line g is line h, which passes
through the point (9,-5). What is the equation of line h?

Write the equation in slope-intercept form. Write the numbers in the equation as proper fractions, improper fractions, or integers.

Answers

Answer:

y=1/9x - 6

Step-by-step explanation:

perpendicular lines have slops that are the negative reciprocal of one another. After you find the slope you then plug in the point to find b using the equation: -5=1/9(9) + b .

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