Mark wants to run his town's half marathon, which covers 13.1 miles. When runners have completed 65% of the course, they are challenged with a steep hill to climb. What distance, in miles, will Mark run before he gets to the foot of the hill? Round your response to the hundredths place.

Answers

Answer 1

Using proportions, it is found that Mark will run 8.52 miles before he gets to the foot of the hill.

What is a proportion?

A proportion is a fraction of a total amount.

In this problem, the distance to the foot of the hill is 65% of 13.1 miles, hence:

d = 0.65 x 13.1 = 8.52 miles.

Mark will run 8.52 miles before he gets to the foot of the hill.

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


Related Questions

A sound wave travels through iron at a rate of 3120 / s . At what rate does the sound wave travel in / h?

Answers

Answer:

11,232km/h

Step-by-step explanation:

You have 3120m/s and want kilometers per hour. There are 1000m in 1km, and 3600sec in 1h:

[tex] \frac{3120}{1} \frac{m}{s} \times \frac{1}{1000} \frac{km}{m} \times \frac{3600}{1} \frac{s}{h} [/tex]

Meters cancel. Seconds cancel. This leaves kilometers per hour:

[tex] \frac{3120 \times 3600}{1000} \frac{km}{h} = 11232 \frac{km}{h} [/tex]

how do i do this? this two

Answers

Answer:

rectangle= 35
triangle= 15

Step-by-step explanation:

rectangle
the length is 5 the width is 7
the formula for area is 5*7
the answer is 35

triangle
the length is 5, the height 6
the formula is 1/2*6*5
the answer is 15

A line has a slope of -3 and includes the point (-5,4) and (-7,q). What is the value of q​

Answers

Answer:

q = 10

Step-by-step explanation:

[tex]\text{slope} =-3=\frac{q-4}{-7-(-5)} =\frac{q-4}{-2} \\\Longrightarrow -3=\frac{q-4}{-2} \\\Longrightarrow \left( -3\right) \times \left( -2\right) =q-4\\\Longrightarrow 6=q-4\\\Longrightarrow q=6+4\\\Longrightarrow q=10[/tex]

A map uses the scale 3 cm for every 50 km
If Dora measures a distance of 9 cm on
the map, what is the actual distance?

Answers

Let the distance be x

3/50=9/x3x=9(50)3x=450x=450/3x=150km

What is the reciprocal of 1 1/6

Answers

Answer:

6/7

Step-by-step explanation:

The reciprocal of 1 1/6 is 6/7.

Answer:

7/6

Step-by-step explanation:

to find the reciprocal of a number, you need to multiply the denominator by the whole number. once you do this, you should add that number and the  numerator. leave the denominator its orginal number and your answer should be 7/6

Jala has an aquarium in the shape of a rectangular prism with the dimensions shown. What is the height of the aquarium? Round your answer to the nearest tenths place.

Answers

height = 24.4in

hope it helps...!!!

Answer:

24.4in.

Step-by-step explanation:

31.25 x 15.5 = 484.375

11818.75 / 484.375 = 24.4in.

The Pythagorean Theorem describes the relationship between the lengths of the legs of any right
triangle. In a right triangle, the square of the length of the hypotenuse is equal to the sum of the
squares of the lengths of the legs. You can use the Pythagorean Theorem to find the length of a
side of a right triangle if the lengths of the other two legs are known.
Find the value of a:
.
13
a
a + b = c?
a
12

Answers

Answer:

a = 5

Step-by-step explanation:

let's label the triangle as a, b and c

where b is the hypotenuse and c is the adjacent of the hypotenuse a to be the height.

from the formula

a² + c² = b²

we substitute the values to find a

so,

a² + 12² = 13²

but we don't know "a" so we make it stand alone by grouping liked terms.

a² = 13² - 12²

a² = 25

we need "a" not "a²" so we take the square root of both sides to get rid of "a²" leaving "a"

[tex] \sqrt{ {a}^{2} } = \sqrt{25} [/tex]

and the answer will be

a = 5

How do I solve this. It’s for a study guide so pls help!!

Answers

Answer: C) [tex]x\geq1\frac{1}{2}[/tex]

Step-by-step explanation:

Let's solve your inequality step-by-step.

[tex]4x-7\geq \frac{-12x+14}{4}[/tex]

Step 1: Simplify both sides of the inequality.

[tex]4x-7\geq -3x +\frac{7}{2}[/tex]

Step 2: Add 3x to both sides.

[tex]4x+3x-7\geq -3x+3x +\frac{7}{2}\\7x-7\geq\frac{7}{2}[/tex]

Step 3: Add 7 to both sides.

[tex]7x-7+7\geq\frac{7}{2} +7\\7x\geq\frac{21}{2}[/tex]

Step 4: Multiply both sides by [tex]\frac{1}{7}[/tex].

[tex]7x(\frac{1}{7}) \geq\frac{21}{2} (\frac{1}{7}) \\x\geq\frac{21}{14} \\x\geq 1\frac{1}{2}[/tex]

What is the equation for this question. Not the answer, the equation.

Answers

Answer:

[tex]c=325m[/tex]

Step-by-step explanation:

Hope this helps

find the degrees and terms

6x⁴ + 3x² + 9 =​

Answers

Answer:

3 Terms and Degree is 6

Step-by-step explanation:

3 Terms and Degree is 6

How to find degrees:

4 + 2 = 6

) Which point on the number line shows the position of squared 77

point A
point B
point C
point D

Answers

The root of 77 is 8.774 so the answer is C

Answer: C

What is the value of log subscript 625 baseline 5? –4 negative one-fourth one-fourth 4

Answers

The value of log subscript 625 baseline 5 is 1/4.

What is a log function?

The logarithmic function is an inverse function to exponentiation.

Rewrite as an equation.

[tex]\rm log_{625}{(5)} = x[/tex]

Rewrite log625 (5) = x in exponential form using the definition of a logarithm.

If x and b are positive real numbers and b does not equal 1, then log(x) = y is equivalent to b^y = x.

[tex]\rm 625^x=5[/tex]

Create expressions in the equation that all have equal bases.

[tex]\rm (5^4)^x=5^1\\\\5^{4x}=5^1\\\\4x=1\\\\x=\dfrac{1}{4}[/tex]

Hence, the value of log subscript 625 baseline 5 is 1/4.

To know more about the log function click the link given below.

https://brainly.com/question/15093298

Answer:

1/4

Step-by-step explanation:

PLS I NEED ANSWERS I posted this questions before but the answer that was given to me was very questionable so PLS I NEED THE ANSWERS NOW ASAP.

Answers

Answer:

Step-by-step explanation:

           TOP:

2 rectangles 10x4

2 rectangles 10x3

2 rectangles 3x4

                    MIDDLE

1 rectangle 10x 9.4247

2 circles 9 π

                        BOTTOM

1 rectangle 6x15.7079

2  circles 25π  

sue spent 95% of her salary for the month. If she has $1500 remaining. What is Sue's total salary for the month?

Answers

Answer:

$30,000

Step-by-step explanation:

1500 would be the remaining 5%. Simply double that, which gives you 3000, which is 10%. Adding the other 90% would make the answer be $30,000

Answer:

2925 dollars.

Step-by-step explanation:

1500 x 0.95 = 1425

1500 + 1425 = 2925

I need awnser asappppppppppppppppppppppppppppp

Answers

3^2 i worked it out: example: i’m always right

Pls help me I need the answer with how u did it pls

Answers

Answer:

125 degrees

Step-by-step explanation:

5x=3x+50

5x-3x+50

2x=50

x=25

5x=25x5

   =125

solve for x or find the value of x

Answers

Answer:

10

Step-by-step explanation:

see in the attached picture...

What number can be added to the expression -4 - 9 to make it 0

Answers

Answer:

+ 13

Step-by-step explanation:

- 4 - 9 = - 13 then

- 13 + 13 = 0

what decimal is equivalent to 95%?

Answers

it's 0.95

explanation:

to convert percents to decimals, all you have to do is move the decimal point (which is always at the end of a number) two places to the left. like this:

95.
move it over twice
.95

you can do it for any number
ex:
153%

153.
move it over twice
1.53

hope this helps :D

We are on my trigonometry unit and I don’t understand this question. I need work shown if at all possible!

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]

~~~~~~~~~~~~~~~~~

[tex]\frac{x}{sin41}[/tex] = [tex]\frac{4.5}{sin107}[/tex]

x = [tex]\frac{4.5sin41}{sin107}[/tex] ≈ 3.1 mi

[tex]\frac{y}{sin32}[/tex] = [tex]\frac{4.5}{sin107}[/tex]

y = [tex]\frac{4.5sin32}{sin107}[/tex] ≈ 2.5 mi

Ship A is 3.1 miles from the island.

Ship B is 2.5 miles from the island.

Answer number 13 please. Thank you.

Answers

Dylan, since he grew by 4 centimeters. Also, the starting number is lower, which means the percentage would also be bigger in the first place.

two number cubes, numbered 1 through 6 are rolled. What is the probability that the product of the two numbers are even

Answers

Answer:

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

Step-by-step explanation:

If we roll two number cubes we can summarize the results of products in the following table (Check table in the attachment)

According to table of product:

we roll two numbers with an even product  in 27 cases out of a total of 36 result.

 Then The probability of rolling two numbers where their product is an even number is :

27/36 = 3/4

Please fill some for me for 100 points and Brainliest!
ASAP!

Answers

Answer:

PART ONE:

1.Most common sleep is: 8 1/2 hours of sleep.

2.There is a a outlinear in the data (6 1/2)

3. 10-6.5 = 3.5, So 3 1/2 hours diffence of sleep

4. 15 more people slept longer than 8 hours

Question 5 of 5
Roshaun kept track of the number of hours that he spent
playing his saxophone each week for several weeks. He
spent 8, 2, 5, 10, and 5 hours.
What is the range of the data set?
O A. 10 hours
OB. 8 hours
O c. 5 hours
D. 6 hours

Answers

The answer is C- 5 hours

Sales tax in your community is 5. 25 cents for each dollar spent. What is the total cost at the movies for three tickets at

$8. 50, three bags of popcorn for $1. 25 each, and two soft drinks for $1. 50 each?

3(8. 50 +1. 25 +1. 50) +5. 25 = 38. 90

1. 0525{3(8. 50 +1. 25 +1. 50)} = 35. 52

1. 0525{3(8. 50 +1. 25) +2(1. 50)} = 33. 94

3(8. 50 +1. 25 +1. 50) +. 0525 = 33. 82

O3(8. 50 +1. 25) + 2(1. 50) +. 0525 = 32. 30

Answers

Answer:

33.94

Explanation:

First start off by finding the total regardless of the 5.25 cents.

(3x8.50)+(3x1.25)+(2x1.50)=32.25

Then take that answer and multiply by your 5.25 cents per dollar

32.25x.0525 (since we're dealing with money)

then add that answer to the original 32.25

20 different prizes are distributed to a group of 180 people. Since the prizes are different, it matters who gets which prize. How many ways are there to distribute the prizes if each person can receive at most one prize

Answers

We will see that the total number of ways in which we can distribute 20 different prizes among 180 people is:

C =  6.818e46

In how many ways the prizes can be distributed?

Here we need to count how many selections do we have. Each prize will be a selection, so we have 20 selections.

Now we need to count the numbers of 6for each selection.

For the first prize, there are 180 options.

For the second prize, there are 179 options (because one person already got a prize).

For the third prize, there are 178 options.

And so on.

The total number of combinations is given by the product between the numbers of options:

C = 180*179*178*...*161*160 = 6.818e46

If you want to learn more about combinations, you can read:

https://brainly.com/question/11732255

"How long does our classmates spend on homework?"
Is this question statistical?
Select one:

Yes, it is statistical.

No, it is not statistical.

Answers

Answer:

No, it's not statistical

Step-by-step explanation:

Sora correctly solved this inequality. Negative 2.1 w greater-than 12.81. w less-than negative 6.1. Which graph matches the inequality? A number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the right of the circle is shaded. A number line going from negative 6.5 to negative 5.8. A closed circle is at negative 6.1. Everything to the left of the circle is shaded. A number line going from negative 6.5 to negative 5.8. An open circle is at negative 6.1. Everything to the left of the circle is shaded. A number line going from negative 6.5 to negative 5.8. A closed circle is at negative 6.1. Everything to the right of the circle is shaded.

Answers

Answer:

Its the third one I think.

Step-by-step explanation:

I worked on it.

Answer:

c

Step-by-step explanation:

Por cinco boletos para un concierto de rock y tres boletos para un partido de fútbol se pagaron $720 y por dos boletos para el mismo concierto y seis para el mismo partido de fútbol se pagaron $480 ¿Cuál es el valor del boleto para cada uno de los eventos?

Answers

The value of tickets for rock concert is $120 and the value of tickets for soccer match is $40.

How to calculate the value?

From the information, for five tickets for a rock concert and three tickets for a soccer match, they paid $720 and for two tickets for the same concert and six for the same soccer game, they paid $480.

Let the value of tickets for rock concert = x

Let the value of tickets for soccer match = y

Based on the information given, the equation will be:

5x + 3y = 720 .... i

2x + 6y = 480 ..... ii

Multiply equation i by 2

Multiply equation ii by 5

10x + 6y = 1440

10x + 30y = 2400

Subtract

24y = 960

y = 960 / 24

y = 40

Therefore, x will be:

5x + 3y = 720

5x + 3(40) = 720

5x + 120 = 720

5x = 720 - 120

5x = 600

Divide

x = 600 / 5

x = 120

Learn more about equations on;

brainly.com/question/2972832

#SPJ1

Complete question

For five tickets for a rock concert and three tickets for a soccer match, they paid $720 and for two tickets for the same concert and six for the same soccer game, they paid $480. What is the value of the ticket for each of the events?

The figure below is an example of a ____ ____ which is basically a solid that has been sliced by a plane

HELP PLEASE WORTH 23 points

Answers

Answer:

D. Cross section

Step-by-Step Explanation:

It is sliced showing the bottom part, so it is showing a cross section.

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