You run 7 1/2 miles as a part of an exercise routine. You run 1/2 of that distance on a hill. You run down a slope for the last 1/3 of the hill. On how many miles of your run do you run down the slope? Write your answer as a fraction or mixed number in simplest form.

Answers

Answer 1

Answer:

1 1/4 miles

Step-by-step explanation:

Amount of miles ran as part of an exercise routine =  7 1/2 miles = 15/2 miles

If you run 1/2 of that distance on a hill, the distance ran on the hill will be;

= 1/2 of 15/2

= 1/2 * 15/2

= 15/4 miles

If You run down a slope for the last 1/3 of the hill, the number of miles that you run down the hill will be;

1/3 of 15/4

= 1/3 * 15/4

= 15/12

= (3*5)/(3*4)

= 5/4

Write 5/4 as a mixed fraction

5/4 = 1 1/4 miles

Therefore you ran 1 1/4 miles down the slope


Related Questions

2. For Halloween Janet gives 2 candy bars to each kid that
trick-or-treats at her house. Janet bought a bag of candy that
has 125 candy bars. Write an equation describing the
relationship between the number of kids, k, who come to
Janet's house on, and the amount of candy bars, c, she has
remaining.

Answers

Answer:

she can give out candy to 62 kids

Step-by-step explanation:

there is ur answer

Answer:

The equation is y = -2x + 125

Step-by-step explanation:

Let x represent the # of kids

And let the 125 as the starting amount of candy bars she has

and also its correct trust me

Pls mark me as brainliest

how to use the pythagorean theorem on a rectangle that is missing a side and its represented by a letter?

Answers

Answer:

Wrong

Step-by-step explanation:

Pythagorean theorem is not used for rectangles but only for triangles

WILL GIVE BRAINLIST!

Answers

Answer:

x=60

Step-by-step explanation:

Answer:   The equation  60 + x= 3x -70   could be set up to solve for x.  

Step-by-step explanation:

The two remote  interior angles sums will equal to the exterior angle .

Meaning that angle 60 plus angle x has to equal to angle 3x -70.

60 + x= 3x -70       Now solve for x by adding 70 to both sides

+70             +70

  130 + x = 3x      Now subtract x from both sides

         -x      -x

  130 = 2x        Divide both sides by

  x = 65

Plz answer these two and I will give you brainliest

Answers

Answer:

1. -9.  2.i cant see what all the options are but the slope is y= 1/2x -3

Step-by-step explanation:

Hope this helps :)

EASY POINTS AND BRAINLIEST IF RIGHT!!

Diane flipped a coin 600 times and it landed heads up 240 times. What is the relative frequency of the coin landing heads up based on the results of this experiment?
4%

6%

40%

60%

Answers

Step-by-step explanation:

The relative frequency of the coin landing heads up is 0.4 or 40%.

Step-by-step explanation:

We are given that,

Total number of times coin is tossed = 600

Number of times heads comes = 240

Since, 'relative frequency' is the fraction of number of times an event occurs and the total number of events.

Thus, the relative frequency that heads comes = \frac{240}{600}

600

240

i.e. Relative frequency that heads comes = 0.4 or 40%

Thus, the relative frequency of the coin landing heads up is 0.4 or 40%.

Answer: 40%

Step-by-step explanation:

Help me please!?!?!?!?????

Answers

Answer:

1

Step-by-step explanation:

the difference between two numbers is 48. the ratio of the two nukbers is 7:3. what are tge two numbers​

Answers

The difference between the two numbers is 48. The ratio of the two numbers is 7 : 3. Hence, 84 and 36 are the two numbers.

Given :-

The difference between the two numbers is 48.

The ratio of the two numbers is 7 : 3.

To Find :-

The Two Numbers

Solution :-

Let the first number be 7x

And the second number be 3x

According to the Question,

⇒ 7x - 48= 3x

⇒ 7x-3x = 48

⇒ 4x = 48  

⇒ x = 48/4

⇒ x = 12

1st number is= 7x = 84

2nd number= 3x = 36

Hence, 84 and 36 are the two number

Please help this has to be done! (Will give Brainiest!!) 20 Points!

Answers

Answer:

A and E

Step-by-step explanation:

7 1/2 / 2 = 15/4

A. 2 x X = 7 1/2

x = 15/4

E. X x 2= 7 1/2

x = 15/4

Will give brainliest if correct.

Answers

Answer:

x-int: (5, 0)

y-int: (0, 4)

General Formulas and Concepts:

Alg I

The y-intercept is the y value when x = 0.  Another way to reword that is when the graph crosses the y-axis. The x-intercept is the x value when y = 0.  Another way to reword that is when the graph crosses the x-axis.

Step-by-step explanation:

x-int

According to the graph, it crosses the x-axis at 5. Therefore, our x-int is (5, 0)

y-int

According to the graph, it crosses the y-axis at 4. Therefore, our y-int is (0, 4)

A line's y-intercept is 9, and its slope is 10. What is its equation in slope-intercept form?

Answers

Answer:

y=10x+9

Step-by-step explanation:

Slope intercept form is y=mx+b

m represents slope so 10 replaces the m

b represents the y-intercept (where the line crosses the y-axis) so 9 replaces the b

Is 0.000027 greater than 270?

Answers

Answer:

no because it is lower than 1 and 270 is higher

Answer:

No, because 0.000027 is a decimal. Any decimal with 0. *something* will be less than one. 27 is more than one. Thus, the statement is false.

WILL GIVE BRAINLIEST !!!
Find the equation of the line. Use the exact numbers.

Equation: y = __x + __

Answers

Answer:

Step-by-step explanation:

y=2/3x+4. 4 is the y intercept. 2/3 is the slope. y=mx+b where m is the slope and b is the y intercept

Bridgette has $1,000 to invest. She has two different investment options, shown in the table below. Each option would give her a different value over three years.

Number of Years 1 2 3
Option A (amount in dollars) 1100 1200 1300
Option B (amount in dollars) 1100 1210 1331


Part A: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option A? Explain your answer.

Part B: Write a function, a(t), to describe the value of the investment, in dollars, of Option A after t years.

Part C: What type of function, linear or exponential, would be best to describe the value of the investment over a fixed number of years using Option B? Explain your answer.

Part D: Write a function, b(t), to describe the value of the investment, in dollars, of Option B after t years.

Part E: Bridgette wants to invest in whichever option would increase her investment value by the greatest amount in 20 years. Will there be any significant difference in the value of Bridgette's investment after 20 years if she uses Option A over Option B? Explain your answer, and show the investment value after 20 years for each option.

Answers

Answer:The answer is B

Step-by-step explanation:

Mrs. Dobbs rides a taxi that charges a flat rate of $6.75 plus $3.20 per mile. The taxi charges Lupita $40.03 in total for her trip.

Answers

Subtract the flat rate from the total, then divide by price per mile for total miles:

40.03 - 6.75 = 33.28

33.28/3.20 = 10.4 miles.

Lupita drove 10.4 Miles for her trip.

Explanation:

40.03 - 6.75 = 33.28 dollars left

33.28 ÷ 3.20 = 10.4 Miles

Find the hypothesis for side a 16 side b 20

Answers

I think you mean to say "hypotenuse". If so, then use the pythagorean theorem to get the following

a^2 + b^2 = c^2

16^2 + 20^2 = c^2

256 + 400 = c^2

656 = c^2

c^2 = 656

c = sqrt(656)

c = sqrt(16*41)

c = sqrt(16)*sqrt(41)

c = 4*sqrt(41)

The hypotenuse is exactly 4*sqrt(41) units long

This is approximately 25.612 when you use your calculator.

Find the 15th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 2.

Answers

Nose rkrbtje de donde salió la luz de

What is the value of x?
(2x)
0 22.5
0 30
O 45

Answers

Since it has 3 congruent sides, it must have 3 congruent angles. This triangle is an equilateral triangle. So this means that you’ll have 6x=180 and x=30
The triangle is equilateral meaning all angles are the same : divide 180/3=60 so you have (2x) which would be (2*30)=60 so in short 30 is the answer

Instructions: Solve the following literal equation.
Solve P-2w/2= l for P.

Answers

Answer:

P=l+w

Step-by-step explanation:

Solve for P by simplifying both sides of the equation, then isolating the variable.

Is this equations linear?

Answers

Answer:

No

Step-by-step explanation:

There can not be x and y both attached to one coefficient.

Answer:

No

Step-by-step explanation:

Its not linear because the equation has "3xy" in it.

plz help me simplify 3x+7x−28+31−8x

Answers

Answer:

2x+3

Step-by-step explanation:

3x+7x−28+31−8x

10x-28+31-8x

(10x-8x)(-28+31) (combine like terms)

=2x-3

Find out how long it takes a ​$ investment to double if it is invested at compounded . Round to the nearest tenth of a year. Use the formula . A. years B. years C. years D. years

Answers

Answer:

(A) 8.8 years

Step-by-step explanation:

Given that the principal amount = $ 3100

Rate of compound interest = 8% compounded semiannually.

The given formula is

[tex]A=P\left(1+\frac{r}{n}\right)^{nt}[/tex]

Where A is the final amount, P is the principal amount, r is the rate of compound interest, t is the time and n is the number of times per year the interest is compounded.

From the given condition,

P=$3100

r= 8%=0.08 compounded semiannually

n=2

A=2 x 3100=$ 6200.

Put all these in the given formula to get the required time, we have

[tex]6200=3100\left(1+\frac{0.08}{2}\right)^{2t}[/tex]

[tex]\Rightarrow \left(1+0.04\right)^{2t}=6200/3100[/tex]

[tex]\Rightarrow 1.04^{2t}=2\\\\\Rightarrow 2t\log_{10}(1.04)=\log_{10}(2)\\ \\\Rightarrow 2t =\frac{\log_{10}(2)}{\log_{10}(1.04)}\\\\\Rightarrow 2t =17.673\\\\\Rightarrow t = 17.673/2=8.8365\\[/tex]

On rounding to the nearest tenth of a year, t=8.8 years.

So, the invested amount will be double in  8.8 years.

Hence, option (A) is correct.

HELPPPP!!!!!
Which of the following describes a solution to the inequality 4x - 2y< 8?
(3, 0)
(4,4)
(-6, 4)
(8,6)
(-2,-4)

Answers

the awnser is (3,0)

how do you write y - 1 = -1/3(x - 6) in standard form

Answers

Answer:

y= -1/3x+3

Step-by-step explanation:

Distribute the -1/3

Add the -1 to both sides to get y by itself

Somebody plz help me ?

Answers

Answer:

33

Step-by-step explanation:

work out the size of angle x.

image included

Answers

Answer:

x = 105°

General Formulas and Concepts:

Geometry

Corresponding Angles

Step-by-step explanation:

If the 2 lines are parallel, which they are, we can use specific theorems to help us solve for different angles.

Here, we see that we will use the Corresponding Angles Theorem. According the the theorem, this will allow us to find our value for x.

Answer:

Step-by-step explanation:

x° = 105°

Angles are corresponding  

find (fg)(x) where: f(x)=3x^2-4 g(x)=x^3+5x)

Answers

Answer:

3(x^3 + 5x)^2 - 4   (please mark brainliest)

Step-by-step explanation:

plug g equation into x values of f equation

f equation = 3(x)^2 - 4

                        ^g goes here

So....

3(x^3 + 5x)^2 - 4

       ^ g goes here

Composite function is a function in another function. The composite function f(g)(x) is equivalent to  3(x³ + 5x)² -4

Composite functions

Composite function is a function in another function

Given the following functions

f(x)=3x^2-4

g(x)=x^3+5x

f(g(x)) = f(x³ + 5x)

Substitute x³ + 5x into the function f(x)

f(x³ + 5x) = 3(x³ + 5x)² -4

Hence the composite function f(g)(x) is equivalent to  3(x³ + 5x)² -4

Learn more on composite function here: https://brainly.com/question/13502804

#SPJ2

Susan needs to buy 3 helium balloons. She can buy individual balloons for $2.75 each, or a 3-pack of balloons for $7.80. How much will Susan save per balloon if she buys a 3-pack instead of individual balloons?

Answers

Answer:

15

Step-by-step explanation:

8.25 minus 7.80 is 0.45 45 divided by 3 is 15 so the answer is 15

Jennifer is a lifeguard at a swimming pool. She earns $132.54 for 18 hours of working. How much does Jennifer earns per hour.

please answer and explain :)​

Answers

Answer:

7.36 an hour

Step-by-step explanation:

If she earns that much for 18 h, divide the amount she makes in 18 h by 18 parts because 18h/18 = 1 h. If done properly, you will get $7.36.

In which figure is point G a centroid?

a
b
c
d

Answers

Answer:

Step-by-step explanation:

You didn't provide us with correct choice

The centroid of a triangle is the point of intersection of its medians.

The lines that pass through the centroid of a triangle divides the side lengths of the triangle into equal halves.

The figure whose centroid is point G is triangle LMN.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, From the attached image, we have the following highlights

There is no evidence that the lines that pass through point G divides the three sides of triangle ABC into equal halves

The lines that pass through point G divides the three sides of triangle LMN into equal halves

The above highlights mean that:

Point G is the centroid of triangle LMN.

Hence, the figure whose centroid is point G is triangle LMN.

Read more about centroids at:

brainly.com/question/1189196

#SPJ5

Find the soultion, marked as brainlest

Answers

Answer:

It is (3,1)

Step-by-step explanation:

Plz name me brainliest I would greatly apreciate it I just need one more

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