Joseph is planning to meet up with his friend Naomi. Joseph jogs from his house traveling at a rate of 4
miles per hour. Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per
hour.
a) Show your solution graphically.
b) How many hours went by before they met?
hours
c) How many miles were they from Joseph's house when they met?
miles
30
25
Joseph

Answers

Answer 1

Answer:

It took 3 hours for the two to meet, and they were 12 miles from Joseph's home when they met.

Step-by-step explanation:

Since Joseph is planning to meet up with his friend Naomi, and Joseph jogs from his house traveling at a rate of 4 miles per hour, while Naomi is initially 27 miles from Joseph's house and travels towards Joseph at 5 miles per hour, for To determine how many hours went by before they met and how many miles were they from Joseph's house when they met, the following calculations should be performed:

27 - (4 + 5) = 27 - 9 = 18

27 - (4 + 5) x 3 = 0

Therefore, it took 3 hours for the two to meet.

4 x 3 = 12

Thus, they were 12 miles from Joseph's home when they met.


Related Questions

What is the least common multiple of 5 and 8?

Answers

40
.........................

2. Carissa also has a sink that is shaped like a half-sphere. The sink has a volume of . One day, her sink clogged. She has to use one of two conical cups to scoop the water out of the sink. The sink is completely full when Carissa begins scooping.
(a) One cup has a diameter of 4 in. and a height of 8 in. How many cups of water must Carissa scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.
(b) One cup has a diameter of 8 in. and a height of 8 in. How many cups of water must she scoop out of the sink with this cup to empty it? Round the number of scoops to the nearest whole number.

Answers

Yes, your answers are correct.

The volume of a cone is given by V = 1/3πr²h.  Since the diameter of the first cone is 4, the radius is 2; therefore the volume is

V = 1/3π(2²)(8) = 32π/3

We divide the volume of the sink, 2000π/3, by the volume of the cone:

2000π/3 ÷ 32π/3 = 2000π/3 × 3/32π = 6000π/96π = 62.5 ≈ 63.

The diameter of the second conical cup is 8, so the radius is 4.  The volume then is:

V = 1/3π(4²)(8) = 128π/3

Dividing the volume of the sink, 2000π/3, by 128π/3:

2000π/3 ÷ 128π/3 = 2000π/3 × 3/128π = 6000π/384π = 15.625 ≈ 16

The requried,
(a) Carissa scoop out 63 cups.
(b) Carissa scoop out 16 cups

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The problem requires us to find out how many cups of water Carissa needs to scoop out of the sink to empty it, given the volume of the sink and the dimensions of the two cups. We can solve this problem by using the formula for the volume of a cone:

V = (1/3) * π * r² * h

First, simplify the volume formula for a cone to make it easier to manipulate:

V = 1/3πr²h

Next, plug in the given values for the first cone:

V = 1/3π(2²)(8) = 32π/3

Then, divide the volume of the sink by the volume of the first cone:

2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.

Now, calculate the volume of the second cone using the same formula:

V = 1/3π(4²)(8) = 128π/3

Finally, divide the volume of the sink by the volume of the second cone:

2000π/3 ÷ 128π/3 = (2000π/3) * (3/128π) = 2000/128 = 15.625 ≈ 16.

Divide the volume of the sink by the volume of the first cone to get the number of first cones that can fit into the sink:

2000π/3 ÷ 32π/3 = (2000π/3) * (3/32π) = 2000/32 = 62.5 ≈ 63.

Learn more about Volume here:
https://brainly.com/question/1578538

#SPJ7

The double number line shows the amount of time a hen needs to lay 1 egg.
Complete the table to show the same information as the double number line.
Eggs Time (hours)
3
100
12

Answers

I realize the double number line in this exercise can be as shown in the attached image, in that case, the table, correctly completed is:

Eggs      Time (hours)

 3                   75

 4                  100

 12                300

Method to complete the table.

First, you must see the double number line (attached image), in this we identify a hen needs 25 hours to lay 1 egg, by this reason, to identify the time required for a certain number of eggs, just multiply the number of eggs by 25 (the number of hours shown on the double number line), then:

3 * 25 = 7512 * 25 = 300

To calculate the number of eggs taking into account the time, you must divide the hours by 25:

100 / 25 = 4

In this way, you can check that the answers are 75, 4, and 300 respectively, to complete the table in the correct form.

You can review more exercises and test your new knowledge about the double number line at the following link: https://brainly.com/question/13553589?referrer=searchResults

Answer: eggs  time

                3          75

                 4         100

                12          300

Step-by-step explanation:

A right angled triangle has a second angle equal 24 degrees. The side adjacent to this angle is 3,7 metres long. How long are the hypotenuse and opposite sides? (3)​

Answers

Hypotenuse will be 4.05
Opposite will be 1.65

What quantity could go into the blank to make the equation a true statement? 5a + a + ___ = 10a

Answers

Answer:

[tex]4a[/tex]

Step-by-step explanation:

Just like addition.

Tulungan niyo po Ako sa module po sa Math​

Answers

Step-by-step explanation:

1a)you are asked to find the number of girls and boys who received prizes

1b)The given facts are that out of 60 pupils, 40 being boys, 20 being girls, joined a Math Quiz competition. 20%of boys and 15 of girls received prizes.

1c)40 boys +20 girls=60 pupils.

1d) Find the number of girls and boys that re ceived prizes

20% of 40 boys

20/100 ×40= 8 boys won prizes

15% of 20 girls

15/100×20=3 girls won prizes

1d) 8 boys+3 girls=11 pupils won prizes

HURRY Antoine is using a horse trailer to transport his horses to his new
ranch.
A. Complete the table by finding the weight, in pounds, of
Antoine's horse trailer and each horse.
+
Weight (T)
Weight (lb)
Horse
0.4
Trailer
1.5
SHIFT Draw circle

Answers

Answer:

Step-by-step explanation:

Help anyone? Math is not my strong suit

Answers

Answer:

the 3rd one

Step-by-step explanation:

Answer:

it's the 7 one

Step-by-step explanation:

math has patterns if you follow the patterns you can see the symbol and the 7 look alike. stuff like this works for me a lot but I don't know f it'll work this time. If it doesn't I'm sorry I tried.

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = [?]
7D
110%
А AT
X
B
>C
Angles are not drawn to scale.
Enter

Answers

Answer:

jngijmgjim

Step-by-step explanation:

gvnjv jg

Answer:

x=70°

Step-by-step explanation:

x+110=180 linear pair

x=180-110=70

Any help? I need to describe the change of the equation, in terms of it getting thinner (>) or wider (<). I don't exactly understand how to do this, can anyone explain? ​

Answers

9514 1404 393

Answer:

  no change to the width of the curve

Step-by-step explanation:

Your terminology and use of symbols (>, <) are unusual, so we're not sure what your question is.

The equation represents a transformation of the parent function

  y = x²

The transformation (replacing x with (x-4)) is a translation right 4 units. This can be seen in the attached graph. The "parent function" is shown in red. Your function is shown in blue.

Nothing about this transformation changes the width of the curve, so it is neither thinner nor wider than it was originally. The description usually used if the curve is narrower or wider is "horizontal compression" or "horizontal expansion."

The curve does get wider for larger y-values. It is said to "open upward".

__

Additional comment

The symbols < and > stand for "is less than" and "is greater than", respectively. They are occasionally used as "angle brackets" to identify vectors or tokens of one sort or another. Sometimes, they are used to signify an angle when the appropriate ∠ symbol is not available. This is the first time in many years of studying math that I have seen them in the context of "thinner" and "wider."

I need help with this fast

Answers

Answer:

Evaluate for x=0.02,y=0.1,z=0.3

(3)(0.02)−(2(0.12)+0.33)

(3)(0.02)−(2(0.12)+0.33)

=0.013

Step-by-step explanation:

Steven jogs around a circular field with a diameter of 70 yd. Find the area of the field.

Answers

Answer:

3848.46 :)

Step-by-step explanation:

Area: 3848.4510006475

1225π

Survey. Short Answ...
Calendar
Cop
Question 2
A car is 180 inches long. A truck is 75% longer than the car.
How long is the truck? Use the table to help you.
Car
Length
(inches)
Percent

Answers

Answer:

Para la mayoría de las personas, comprar un auto es importante, solo superado por comprar una casa.

Por lo tanto, no nos sorprende que muchas personas de todo el mundo vayan a internet para investigar sobre fabricantes, modelos y opciones de financiamiento antes de comprar uno.

Los clientes hacen su propia investigación y tú deberías hacer lo mismo. Usa una encuesta online como alternativa para averiguar qué necesitan los clientes y qué puedes hacer para que tu concesionaria, agencia de alquiler, taller automotriz o empresa de autopartes y accesorios sea el lugar donde deseen comprar.

Crea una encuesta online hoy mismo

Comienza ya con una plantilla de encuesta diseñada por expertos o crea tus propias preguntas sobre autos. Además, te facilitaremos la recopilación de respuestas y el análisis de resultados.

Step-by-step explanation:

Answer:

penchegolmales gwe

Step-by-step explanation:

thats it thats all i konwe aloha

help help please i did not understand

Answers

Answer:

The tree grows 3,14 centimeters per year

Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.

Step-by-step explanation:

9. Sally works in a cell phone store. She is paid a weekly salary of $80 plus $5.25 for each cel
phone she sells. Which equation can be used to find Sally's total weekly income?

Answers

Answer:

y = 5.25x + 80

Step-by-step explanation:

total income = 5.25 * phones + 80 salary

Answer:

y = 5.25x + 80

Step-by-step explanation:

12+98=
really confused on this one

Answers

Answer:

12+98=110

Step-by-step explanation:

The population of Linton is 12 times as great
as the population of Ellmore.
The combined
population of both towns
is 9,646 people. What
the population of Linton

Answers

Answer:

8904 People

Step-by-step explanation:

We start by the equation L = 12E, where L represents the population of Linton and E represents the population of Ellmore. We then set L + E = 9646, but since L = 12E, we then get 12E + E = 9636, or 13E = 9646. Therefore, E = 742. L = 12E, so L = 8904.

If g(x) = -3(x) - 5 then g(?) = 25
10
-20
5
-10

Answers

Answer:

D) -10

Step-by-step explanation:

We will assign g(x) to be equal to 25, and then solve for x:

25 = -3x-5

30 = -3x

10 = -x

-10 = x

So D is correct

Answer:

-10 is correct option

Step-by-step explanation:

g(x)=-3(x)-5

g(-10)=-3(-10)-5

=30-5

=25

Thank you in advance​

Answers

Answer:

<z = 37

Step-by-step explanation:

<x = 90

<y = 53

<z = ?

<x + <y + <z = 180

90 + 53 + <z = 180

143 + <z = 180

<z = 180 - 143

<z = 37

Answer:

37

Step-by-step explanation:

180-90-53= 37

In circle A measure of arc BD-56' and BC is a diameter. Which statements are correct?

Answers

The answer is quiet clear I done he snaisknsnridnd

Answer:

90 degrees and 80 degrees

What is the median of the numbers 312, 336, 488, 384, 368, 336, 416, 624

Answers

Answer:

376

Step-by-step explanation:

312,336,336,368,384,416,488,624

the middle numbers are 368 and 384

the median is the middle of the middle numbers

to find this number we add up 368 and 384 and divide the answer by 2

368+384=752

752/2=376

Answer:

376

Step-by-step explanation:

1. To find the median you have to first arrange the numbers in numerical order.

2. Count how many numbers you have.

3. Divide by 2. Go to the number in that position and average it with the number in the next highest position to get the median.

So considering you have 8 numbers if you divide 8 ÷ 2 = 4

the 4th number arranged is 368. Now to average 368 and 384. 368+384=752

752 ÷ 2 = 376

98 is what percent of 280?

Answers

Answer:

35%

Step-by-step explanation:

Find the percent by dividing 98 by 280

98/280

= 0.35

So, 98 is 35% of 280

35 percent
bsjsjjdjd

distance between the points (-4,-2) and (6,-2)

Answers

Answer:

Distance is 10 units.

Step-by-step explanation:

Use distance formula to find the distance.

Kevin has 6 pounds of ham to make 12 sandwiches. He puts the same amount of ham on each sandwich. Which statement about Kevin’s sandwiches is true?

1.Each sandwich has one half pound of ham.
2. Each sandwich has 1 pound of ham.
3. Each sandwich has 2 pounds of ham.
4. Kevin has one half pound of ham left over.

Answers

statement 1 b/c 6/12 = 1/2

2. The truth will prevail. (Justify your answers, no justification, no credit). (12 points each) a) In any given sample, the median is never larger than the mean, unless the distribution is symmetric. True or False. b) The sign of the correlation coefficient provides us with information regarding how good a line fits the data points we are studying. True or False. c) The range is always larger than the inter-quartile range. True or False

Answers

Answer:

False ;

False ;

False

Step-by-step explanation:

In a perfectly symmetric distribution, the mean and Median values are the same. But for skewed distributon, the median is greater than the mean (negatively skewed or left skewed data). Hence, the assertion is false.

The sign of the correlation Coefficient does not give information about how good a line fits. The sign attached to the correlation Coefficient gives information about the slope and hence, the type of relationship between the variables.

Positive (+) sign = positive relationship between variables ; negative (-) sign = negative relationship between variables.

C.)

The value of the range is not always higher Than the value of the interquartile range. The IQR might have the same value as the value of the range.

For instance :

Given the data :

1, 1, 1, 2, 2, 3, 4, 4, 4

Range = maximum - minimum

Range = 4 - 1 = 3

Interquartile range (IQR) :

IQR = Q3 - Q1

Q3 = 3/4(n+1)th term

Q3 = 3/4(10) = 7.5th term

Q3 = (7th + 8th) / 2 = (4+4)/2 = 4

Q1 = 1/4(10) = 2.5th term

Q1 = (2nd + 3rd) / 2

Q1 = (1 + 1) /2 = 1

Q3 - Q1 = 4 - 1 = 3

4x ^ 2 + 300 = 1, 596 help solve for the x please show work I will mark brainliest

Answers

Answer:

x=18 OR x=-18

Step-by-step explanation:

[tex]4x^2=1296\\x^2=324\\x=+-sqrt(234)\\x=18 OR x=-18[/tex]

Help if you can :)
Also, show work!

Plz dont add any type of link

thxx <3

Answers

there is no question

Solve the system: 10x-9y=8 21y+15x=0.5

PLEASE HELP NEED ASAP

Answers

Answer:

x = 1/2

y = -1/3

Step-by-step explanation:

10x - 9y = 8    (Multiply by 3)

15x + 21y = 0.5 (Multiply by -2)

30x - 27y = 24

-30x - 42y = -1

-69y = 23

y = -1/3

10x - 9y = 8

10x - 9(-1/3) = 8

10x + 3 = 8

10x = 5

x = 1/2

Work it out fast its a timed test

Answers

Answer:

$1400

Step-by-step explanation:

Answer:

$1,400.00

Step-by-step explanation:

You have to multiply $8.75 by the 20 hours to get $175, then you multiply that by 8 weeks to get $1,400

what is the value of 9 in the number 2,093,507 please no links​

Answers

Answer:

ten thousands

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