Two joggers set out at the same time from their homes 24 miles apart. They agree to meet at a point
somewhere in between in an hour and a half. If the rate of one is 6 mph faster than the rate of other,
find the rate of each.

Answers

Answer 1

9514 1404 393

Answer:

  5 mph, 11 mph

Step-by-step explanation:

Together, they cover 24 miles in 1.5 hours, so their total rate of speed is ...

  (24 mi)/(1.5 h) = 16 mi/h

If s is the rate of the slower jogger, then s+6 is the rate of the faster one. Their total speed is ...

  s + (s+6) = 16

  2s = 10 . . . . . . . subtract 6

  s = 5 . . . . . . . . . divide by 2

  s+6 = 11

The rates of the joggers are 5 mph and 11 mph.

Answer 2

Answer:

Try reading it over

Step-by-step explanation:


Related Questions

Please help I need this answer!

Answers

Answer: 16

Step-by-step explanation: Good luck! :D

Answer:

It’s 16

Good luck

I honestly lost most of my brain cells Bc of quarantine so I’m glad I figured this out

FAST PLEASE!! Emma weighs half as much as Sonya. Sonya weighs 120 pounds. How much
does Emma weigh? Write the expression and solve

Answers

Answer:

I think it would be 120

Step-by-step explanation:

You add 120+120 and it would equal 240. Then 240 dived by 2 which will equal 120.

(120 + 120)= 240 dived by 2= 120 I might be wrong

What’s 9+10 I need help

Answers

According to my calculations it is 21

Answer:

9+10=19 but if you are talking about the meme 21

Step-by-step explanation:

5+=8
How do I solve this

Answers

Answer: 3

Reason: 5 + 3 = 8

Answer:

t = 0.625

Step-by-step explanation:

Assuming this is 5t = 8:

5t = 8 | Given

t = 0.625 (5/8, divide 5 by 8 to separate the coefficient 5 from the variable t.)

An opera theater has a sale: "Buy two tickets and get the third
ticket 60% off!" Peter uses the sale and spends $180 for three
tickets. What is the price of a ticket when there is no sale?

Answers

Answer:

$75

Step-by-step explanation:

let 'x' = full price ticket

x + x + 0.4x = 180

2.4x = 180

x = 75

What is the leading coefficient of the polynomial f(x) defined below

Answers

Answer:

1

Step-by-step explanation:

The answer is simply 1 as the leading term, x^4 has a coefficient of 1.

sketch the graph of each function. Then State the domain, range and increasing, decreasing intervals. Part 2​

Answers

Problem 17

The graph is shown below.

The domain is [tex]x \ge -1[/tex] which is found by solving [tex]x+1 \ge 0[/tex]. This is done to ensure that the stuff under the square root is not negative. Note the left-most point of the graph has x = -1 as its x coordinate.

The domain in interval notation is [tex][-1, \infty)[/tex] we have a square bracket at -1 and a curved parenthesis at infinity.

The range is [tex]y \le 3[/tex] based on what the graph shows. This is directly tied to the +3 at the end of the function. The parent's function max value is y = 0, so that plus 3 shifts everything up 3 units so that the new translated function has a max of y = 3.

The range in interval notation is [tex](-\infty, 3][/tex] we use a square bracket to include 3 as part of the interval.

Throughout the entire function, the curve is going downhill as we move from left to right. The graph shows this. We could also use a table of values to see that as x gets bigger, y gets smaller.

So the function is never increasing. The function decreases on the interval (-1, infinity) which is the entire domain.

=====================================================

Problem 18

The graph is shown below. It's in a separate attachment.

The domain and range are the set of all real numbers. The graph shows that the curve extends forever to the left and right. Also, the graph extends forever upward and downward (regardless if that growth seems really slow).

The domain and range in interval notation is [tex](-\infty, \infty)[/tex] to indicate the entire real number line.

The graph goes uphill as we read from right to left, so the function is increasing on the interval [tex](-\infty, \infty)[/tex]. In other words, no matter where you are, you're going uphill if you move from left to right. This rules out the function ever decreasing.

We can use a table of values to see that the function is increasing if we cannot rely on the graph. As x gets bigger, so does y.

Answer:

1)

The angle of inclination is the angle between the horizontal and the ramp.

Using the sine ratio in the right triangle formed by the ground and the ramp

let x be the angle of inclination, then

sinx = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{0.7}{4.2}

4.2

0.7

, then

x = sin^{-1}sin

−1

(\frac{0.7}{4.2}

4.2

0.7

) ≈ 10° ( to the nearest degree )

(2)

Again there is a right triangle between the ground and the vertical height of the kite, with hypotenuse being length of string.

let y be the height of the kite and x the horizontal distance, then

sin27° = \frac{opposite}{hypotenuse}

hypotenuse

opposite

= \frac{y}{176}

176

y

( multiply both sides by 176 )

176 × sin27° = y , then

y ≈ 80m ( to the nearest metre ) ← height of kite

and

cos27° = \frac{adjacent}{hypotenuse}

hypotenuse

adjacent

= \frac{x}{176}

176

x

( multiply both sides by 176 )

176 × cos27° = x , then

x ≈ 157m ( to the nearest metre ) ← horizontal distance

Find the area of the composite figure.

Answers

I would probably have to go with 62.5

There is a stack of 10 cards, each given a different number from 1 to 10. Suppose we select a card randomly from the stack, replace it, and then randomly select another card. What is the probability that the first card is an even number and the card is greater than 7? Write your answer as a fraction in simplest form.

Answers

Answer:

1/5 chance or 20% chance.

Step-by-step explanation:

When doing this problem we can start with only being able to go for 7 and up. This already makes us go down to a 3/10. Now we have 8, 9, and 10. Only two of those numbers are even 8, and 10. Which gives us a 2/10. 2/10 then simplifies to 1/5.

:D

Probability helps us to know the chances of an event occurring. The probability that the first card is an even number and the card is greater than 7 is 0.15.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The probability that the first card is an even number and the card is greater than 7 is,

Probability = (5/10)×(3/10) = 15/100 = 0.15

Hence, the probability that the first card is an even number and the card is greater than 7 is 0.15.

Learn more about Probability:

https://brainly.com/question/795909

#SPJ2

I don’t know how to find X or Y very urgent, need to figure this out how to solve plz help

Answers

Answer:

x = 9

y = 9√3 = 15.6

Step-by-step explanation:

The triangle given is a right triangle, therefore:

✔️apply trigonometric ratio formula to find x:

Reference angle = 60°

Hypotenuse = 18

Adjacent = x

Thus:

Cos (60) = x/18

Multiply both sides by 18

18×cos(60) = x

9 = x

x = 9

✔️find y by applying pythagorean theorem:

y² = 18² - x² (pythagorean theorem)

y² = 18² - 9² (substitution)

y² = 243

y = √243

y = √(81*3)

y = 9√3 = 15.6

3 Choose Yes or No to tell whether the denominator of
each product is

Answers

a. Yes 2 x 6 = 12
b. No 4 x 5 = 20
c. Yes 4 x 3 = 12
d. Yes 6 x 2 = 12

Pls i need this asap

Answers

Answer:

It would have to be (C) 50.27 because 25 is too short for a diameter of 8 seeing it would be 8x4 to get 32 in which 25 is not long enough for. So the answer is C.

How many 1/2 inch cubes would it take to fill up a 6 inch cube.

Answers

Answer:

1

Step-by-step explanation:

Answer:396

Step-by-step explanation:your volume is 5.5 * 3 * 3 = 5.5 * 9 = 45 + 4.5 = 49.5 cubic inches. multiply that by 2*2*2 = 8 and you get 49.5 * 8 = 396 half cubic half inches. let's see if that makes sense. 11 half inches * 6 half inches * 6 half inches = 396 cubic half inches.brainliest?

A copy machine makes 36 copies per minute. How long does it take to make 117 copies

Answers

Answer:

3.25 minutes

Step-by-step explanation:

117 ÷ 36 = 117

Answer:

3.25 min

Step-by-step explanation:

copies. time

36. 1

117. x

36×x= 117×1

x. = 117÷36

x. = 3.25 min

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 185 degrees Fahrenheit when freshly poured, and 3 minutes later has cooled to 167 degrees in a room at 60 degrees, determine when the coffee reaches a temperature of 137 degrees.

Answers

Answer:

9.4 secs

Step-by-step explanation:

From Newton's law of cooling;

T(t) = Ts + Do e^-kt

Where;

D0= initial temperature difference

Ts= Temperature of the surroundings

t= time

K = positive constant

Do = 185 - 60 = 125 degrees

167 = 60 + 125 e^-3k

167 - 60 = 125 e^-3k

107/125 = e^-3k

ln(e^-3k) = ln(107/125)

-3k = -0.1555

k = 0.1555/3

k = 0.0518

Substituting the value of k to find the time taken to reach 137 degrees

T(t) = Ts + Do e^-kt

137 = 60 + 125 e^-(0.0518t)

137 - 60 = 125 e^-(0.0518t)

77 = 125 e^-(0.0518t)

e^-(0.0518t)= 77/125

ln [e^-(0.0518t)] = ln(77/125)

-0.0518t = -0.4845

t = 0.4845/0.0518

t = 9.4 secs

#15. A cube has a volume of 200 cm ^2 write the
edge length of the cube as a radical in simplest form

Answers

Answer:

[tex]2(25)^{\dfrac{1}{3}}[/tex]

Step-by-step explanation:

The volume of a cube is 200 cm².

We need to find the edge length of the cube.

The formula for the volume of a cube is given by :

[tex]V=a^3[/tex]

a is the side of the cube

[tex]a=\sqrt[3]{200} \\\\=(200)^{\dfrac{1}{3}}\\\\=(25\times 8)^{\dfrac{1}{3}}\\\\=(25)^{\dfrac{1}{3}}\times (8)^{\dfrac{1}{3}}\\\\=2(25)^{\dfrac{1}{3}}[/tex]

So, the edge length of the cube is [tex]2(25)^{\dfrac{1}{3}}[/tex].

9) Linda and Maria share £200. Linda has 4 times as much money as Maria.
How much money does Maria have?

Answers

Answer:

40

Step-by-step explanation:

maria is x

linda is 4x

x+ 4x = 200

5x = 200

x= 40

alguien me ordena estás fracciones 1/10 4/10 6/10 14/10 10/10 8/10 de menor a mayor porfa doy corona​

Answers

Responder:

[tex]\frac{1}{10},\frac{4}{10},\frac{6}{10},\frac{8}{10},\frac{10}{10},\frac{14}{10}[/tex]

Explicación paso a paso:

Dado que los denominadores son iguales, organice los numeradores.

Answer:

[tex]\frac{1}{10} ,\frac{4}{10}, \frac{6}{10}, \frac{8}{10}, \frac{10}{10}, \frac{14}{10}[/tex]

¡Espero que ayude!

Lo siento si es mal español. No soy un hablante nativo. :P

Step-by-step explanation:

The 2013 Current Population Survey (CPS) estimates that 22.5% of Mississippians live in poverty, which makes Mississippi the state with the highest poverty rate in the United States.40 We are interested in finding out the probability that at least 250 people among a random sample of 1,000 Mississippians live in poverty. (a) Estimate this probability using the normal approximation to the binomial distribution. (b) Estimate this probability using the distribution of the sample proportion. (c) How do your answers from parts (a) and (b) compare

Answers

Answer:

calcule bruto malparido

6 quarts is how many fluid ounces​

Answers

Answer:

its 192 fluid ounces

Step-by-step explanation:

Answer:

192

Step-by-step explanation:

Sorry i don't know how to type my work out. (But i did check my work 3 times you can rest easy because this answer is correct.)

what is 6/5÷7/1 can u tell me pls

Answers

Answer:

6/35

Step-by-step explanation:

6/5÷7/1=6/5 x 1/7 = 6/35

Answer:

6/35

Step-by-step explanation:

ङ-आपको कौन-सी ऋतु पसंद है और क्यों ?​

Answers

Answer:

हेलो मेरा पसंदीदा मौसम गर्मियों का है, मैं इसे प्यार करता हूं क्योंकि मैं अपने दोस्तों के साथ तैराकी करता हूं और मुझे तैराकी पसंद है क्योंकि मैं ट्रैक रन करता हूं, मुझे सिर्फ गर्मी से प्यार है

Step-by-step explanation:

Find the equation of the exponential function represented by the table below:

Answers

Answer:

[tex]f(x)=5(4)^x[/tex]

Step-by-step explanation:

The exponential function is [tex]f(x)=ab^x[/tex].  [tex]a[/tex] is the initial value of the function, or the y-value when x=0. In this case, [tex]a[/tex]=5. If we enter that into the equation:

[tex]f(x)=5b^x[/tex]

Then we can use another point to solve for [tex]b[/tex].

[tex]20=5b^1[/tex]

Since anything raised to the power of 1 remains the same, we can continue to solve algebraically.

[tex]20=5b\\\frac{20}{5}=\frac{5b}{5}\\b=4[/tex]

Now that we have both the [tex]a[/tex] and [tex]b[/tex] value, we can return to the exponential function and fill in the blanks.

[tex]f(x)=5(4)^x[/tex]

I hope this helps!

Q5.
Machine A and machine B both make car parts.
Machine A makes 6 parts every 10 minutes.
Machine B makes 13 parts every 15 minutes.
On Monday
machine A makes parts for 12 hours
machine B makes parts for 10 hours
Work out the total number of parts made by the two machines on Monday.

Answers

Answer:

A=432   B=520

Step-by-step explanation:

alright so there are 60 minutes in a hour so every 10 you get 6 so 6x6=36 per hour so 36x12 equals 432 parts

15 x 4 = 60 so 13 x 4 =52 per hour so 52 x 10 = 520

A car park holds 480 cars when full. The probability of a car in the car park being silver is 0.375.
On Friday morning the car park was full and Jamie counted 164 silver cars. Is this more or less
than expected?
Justify your answer by calculation

Answers

Answer:

164 is less than the expectation

Step-by-step explanation:

Given

[tex]n = 480[/tex] --- Cars

[tex]p = 0.375[/tex] --- Probability of silver

Required

Determine if 164 is more or less than the expectation

First, we calculate the expected value (E(x))

[tex]E(x) = n * p[/tex]

Substitute values for n and p

[tex]E(x) = 480 * 0.375[/tex]

[tex]E(x) = 180[/tex]

The expected number of silver cars is 180.

Hence, 164 is less than the expectation.

PLEASE HELP!!
Questions and directions are in image!

Answers

Step-by-step explanation:

this is what I use go to your app store and get Math. way and type your answer in

Answer:

a)  (c + 2)²

b)  (x + 2)(x - 4)

c)  (g + 2)(g + 6)

d)  (x + 2)(x - 9)

e)  (r + 9)(r + 1)

f)  (x - 6)(x - 4)

Step-by-step explanation:

Please help for number 8 I don't understand.

Answers

Answer:

8a. x = 16√3

8b. y = 8√3

Step-by-step explanation:

8a. Determination of the value of x

Adjacent = 24

Hypothenus = x

Angle θ = 30°

The value of x can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent /Hypothenus

Cos 30 = 24 / x

√3/2 = 24/x

Cross multiply

x × √3 = 2× 24

x × √3 = 48

Divide both side by √3

x = 48/√3

Rationalise

x = 48/√3 × √3/√3

x = 48√3 / √3 × √3

x = 48√3 / 3

x = 16√3

8b. Determination of the value of y

Opposite = y

Adjacent = 24

Angle θ = 30°

The value of y can be obtained by using Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = y / 24

1 / √3 = y /24

Cross multiply

y × √3 = 1 × 24

y × √3 = 24

Divide both side by √3

y = 24 /√3

Rationalise

y = 24 /√3 × √3/√3

y = 24 ×√3 / √3 × √3

y = 24√3 / 3

y = 8√3

problem 1. 6(x-2) = - 18
problem 2. 17 = 5k - 2


please help

Answers

Problem 1: X=-1
Problem 2: k=3.8
I think that’s the answers

(3a+9)+(6a+6) =
What is the answer to this??

Answers

Answer: 9a+15


Explanation: We are combining like terms so we can rearrange the equation to

(3a+6a) and (9+6)

3a+6a= 9a

9+6=15

So 9a+15
9a + 15
If it’s wrong let me know

3x3 - 7x2 + 6x - 14
Explain

Answers

Answer:

Step-by-step explanation:

x^2(3x - 7) + 2(3x - 7)

(x^2 + 2)(3x - 7)

[tex]\huge\text{Hey there!}[/tex]

[tex]\bold{Factor: 3x^3 -7x^2+6x -14}[/tex]

[tex]\bold{Step-by-step\downarrow}[/tex]

[tex]\bold{x^2(\dfrac{3x^3}{x^2}-\dfrac{7x^2}{x^2})+2(\dfrac{2\times3x}{2}-\dfrac{2\times7}{2})}[/tex]

[tex]\bold{= x^2(3x^{3-2}-7)+2(3x-7)}[/tex]

[tex]\bold{= x^2(3x-7)+2(3x-7)}[/tex]

[tex]\bold{= (3x-7)(\dfrac{x^2(3x-7)}{3x-7}+\dfrac{2(3x-7)}{3x-7})}[/tex]

[tex]\bold{= \underline{(3x -7)(x^2+2)}}[/tex]

[tex]\boxed{\boxed{\bold{Answer: (x^2+2)(3x-7)}}}\huge\checkmark[/tex] [tex]\underline\bold{(Option\ C.)}[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Other Questions
18x - 77=1X - 7y=-33 Review the Protein to Trait Example. How did the differences in proteins lead to different traits for this feature? X-2y=10 x+3y=5 please hellppppppp 2y-4x=10 solve for x If a detective wanted to find out details of a crime, which type of questions would he or she most likely ask toobtain the most specific information?A opencloseddirectinterestingB..D By 1942, Germany was fighting a war ontwo fronts. Which nation was part ofGermany's western front? Plz help me I need help asap the cost of an airplane flight increases from $250 to $295.what is the percentage increase? The song Shake, Rattle and Roll has sexual innuendos that frightened white parents. Explain the stereotype and elaborate on its connection with the time frame of the song. Is there any comparison to Rap music today? need help like every time :{ A baseball player hits a 0.15 kg 0.15kg0, point, 15, start text, k, g, end text baseball that is initially at rest, changing its momentum by 11 kg m s 11 s kgm 11, start fraction, start text, k, g, end text, dot, start text, m, end text, divided by, start text, s, end text, end fraction. 7. Jena has a triangular garden with a perimeter that can be represented by 25r ^ 2 - 9r + 14 . The sum of two sides of the garden is represented by 10r ^ 2 + 12r + 9 . Which expression represents the length of the third side ? Which proportion is NOT true? If you could be any fictional character who would you be and why? (SAT PREP) Find the value of x, NEED ASAP WILL AWARD BRAINLIEST! then find the measure of both angles?? Pleaseeee helppp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!! (SAT PREP) FIND THE VALUE OF X PLEASE ASAP AWARDING BRAINLIEST!! A nuclear physicist studies the particles ejected by a beam of radioactive nuclei. According to a proposed theory, the average rates at which particles are ejected in the forward and backward directions should be equal. To test this theory, he counts the total number ejected forward and backward in a certain 10-hour inter- val and finds 998 forward and 1,037 backward. (a) What are the uncertainties asso- ciated with these numbers A rock that falls off a cliff represents both potential and kinetic energy. Which statement best represents the energy transformation involved in this scenario? As the potential energy decreases, the kinetic energy decreases. As the potential energy decreases, the kinetic energy decreases. As the potential energy increases, the kinetic energy increases. As the potential energy increases, the kinetic energy increases. As the potential energy decreases, the kinetic energy increases. As the potential energy decreases, the kinetic energy increases. As the potential energy increases, the kinetic energy stays the same