After training for and running a marathon, an athlete wants to reduce her daily run
by half each day. The marathon is about 26 mi. How many days will it take after the
marathon before she runs less than a mile a day? Show your work.

Answers

Answer 1

Answer:

6 days

Step-by-step explanation:

This question becomes much easier when written out per day (shown below). The question tells us that she is reducing her run by half every day, so all we need to is divide the previous day by 2 to get the current day. She starts out with 26 miles so this is our day 1 value.

Day 1 = 26 miles

Day 2 = 13 miles (26÷2=13)

Day 3 = 6.5 miles (13÷2=6.5)

Day 4 = 3.25 miles (6.5÷2=3.25)

Day 5 = 1.625 miles (3.25÷2=1.625)

Day 6 = 0.8125 miles (1.625÷2=0.8125)

We can see that by day 6, her total running amount is less that 1 mile, so the final answer is 6 days.


Related Questions

If f(x) = x3 – 7, show that f-1(x) = Vx+7.

Answers

Answer:

f(x)=4−(x−7)

3

Let y=f(x)

So, x=f

−1

(y) ---- ( 1 )

y=f(x)

⇒ y=4−(x−7)

3

⇒ (x−7)

3

=4−y

⇒ x−7=

3

4−y

⇒ x=7+

3

4−y

⇒ f

−1

(y)=7+

3

4−y

.................. [ From ( 1 ) ]

∴ f

−1

(x)=7+

3

4−x

Graph the number on the number line. Then use your number line to find the
absolute value.

Answers

Answer: 9

Step-by-step explanation:

The opposite of -9 is 9.

-3x-2=13
please show steps on how to do

Answers

Answer:

x=-5

Step-by-step explanation:

-5*-3=15

15-2=13

Hope it helps

Answer:

x = -5

Step-by-step explanation:

-3x-2=13

Add 2 to both sides of the equation

-3x-2+2=13+2

Simplify

-3x=15

Divide both sides of the equation by the same term

[tex]\frac{-3x}{3} =\frac{15}{-3}[/tex]

Simplify

x = -5

A number less 5 divided by 42

Answers

Answer:

It's 0 because if you do 42~4=10.5 and 42~3=14 and 42~2=21 and 42~1=42 and there all more then 5 but on the other hand 0 is less then 5

Step-by-step explanation:

Which of the following statements describes the graph below?

PLS HELP.

Answers

Answer:

piecewise, continuous.

Step-by-step explanation:

This is piecewise simply because it is in pieces. Thus PIECEwise (Pun intended). This is continuous because, as you can see, there is a filled in dot on the same x coordinate as every empty dot. The empty dots mean that that value is not in that part of the graph. However, since the other parts of the function "fill the gaps," then it is continuous.  I hope this helps!

It's offcourse piecewise

For continuity

Observe the graph

The domain is like

(-oo,1]U(1,2]U(2,oo)

For close ineterval there is an open interval hence it's continuous

In the following, write the binary number in base 10.
110010112

What’s the answer

Answers

1100 1011₂ = 1•2⁷ + 1•2⁶ + 1•2³ + 1•2¹ + 1•2⁰

1100 1011₂ = 128 + 64 + 8 + 2 + 1

1100 1011₂ = 203

4•d=d•4

Choose the property of real numbers that justifies the equation

Answers

Answer:

Commutative Property of Multiplication

Step-by-step explanation:

Commutative Property of Multiplication

a • b = b • a

4 • d = d • 4

"commute = to get up and move to a new location: switch places"

. Order these numbers in Descending order 28.3 1 28 3 5V25 25 4 nswer:​

Answers

Answer:

28.3 28 25 5 4 3 1

Step-by-step explanation:

What is that V there for? I can fix answer if needed

I will mark brainliest for the right answer with a description that helps me on how to actually solve this please

Answers

Answer:

$126

Step-by-step explanation:

I divided the figure in 3 parts, 1 triangle and 2 rectangles

found the area of each figure and added all to find the total area

A large bag contains 7/12 pounds of nails. How many 1/8 pound bags can be filled with this amount of nails?

Answers

Answer: 4 bags

Division is nessacery

7/12 divide by 1/8= 4.6666667

Full bags will be 4

Step-by-step explanation:

Please help me this a important test and I’m not good at math please explain step by step so I can learn the formula for once

Answers

Answer: You"ll earn $884 because we know that 707.20 divided by 32 equals 22.1 and 22.1x40 = $884. Therefore, you"ll make $884 for 40 hours.

solve the eequation show all your work g + 5 = 7 1/5

Answers

Answer:

Move all terms not containing

g

to the right side of the equation.

Exact Form:

g

=

46/5

Decimal Form:

g

=

9.2

Mixed Number Form:

g

=

9 1/5

.:

Answer:

g = 2 1/5

Step-by-step explanation

get g by itself by canceling out the 5

whatever you do to one side you have to do to the other side.

5-5 leaves you with nothing but the g on the left side of the equals sign

7 1/5 -5= 2 1/5

so your left with g= 2 1/5

g + 5 = 7 1/5

    -5     -5

g  = 2 1/5

What is the inverse of the function g(x) = x^3/8 + 16 ?

Answers

Answer:

[tex] \hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• let f(x) be m:

[tex]{ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]

• make x the subject of the function:

[tex]{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}[/tex]

• therefore:

[tex]{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\ [/tex]

2[tex]\sqrt{x+5}+4\\[/tex]

Answers

[tex]2 \sqrt{x + 9} [/tex]

Answer:

[tex] 2\sqrt{ } \times + 9[/tex]

u understand

Mr.jones filled his swimming pool with water

Answers

then go and swimand enjoy your holiday

I would like to help you however I think you did not finish writing out the problem.

I'm so confused, know the answer?​

Answers

Answer:

P = -10

5p - 8(p + 1) > 16

5(-10) - 8(-10 + 1) > 16

-50 - 8(-9) > 16

-50 + 72 > 16

22 > 16

What is the y-intercept of the graph below.​

Answers

The y-intercept is 0, as that is where the line go thorugh the y-axis line.

Help me with question 4 and 5 plz

Also click the photo to see the full question

Answers

Answer:

CE (for number 4)

Step-by-step explanation:

sorry i don't know the answer to 5

Part A The problem involves a conversion from feet to miles. How many feet are in one mile? Use the Internet or another resource if you need help.Part B What is the height of the building in miles? Express the answer as a fraction in simplest form.Part C Use long division to find the decimal form of the building’s height in miles. Write the answer to four decimal places.Part D Review your answer to part C. Over which digit(s) must you draw an overline to show that the digit(s) repeat? Part E Christy’s sister, Chelsea, works in a nearby building that is 720 feet tall. What is the height of Chelsea’s building in miles? Express the answer as a fraction in simplest form. Part F Use long division to find the decimal form of the building’s height in miles. Write the answer to six decimal places. Part G Review your answer to part F. Over which digit(s) must you draw an overline to show that the digit(s) repeat?

Answers

Answer:

the answer is 3.14 when u solve it

Write the equation of the line passing through the points (2,-5) and (7,-3).

Answers

Answer:

5y·2x=21

[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} [/tex]

Step-by-step explanation:

using the formula above,you will find the equation 5y–2x=21

a + 0 = a

Choose the property of real numbers that justifies the equation

Answers

not sure but: If a is a real number, then a + 0 = a and 0 + a = a OR If a is a real number, then a ⋅ 1 = a and 1 ⋅ a = a

Find the area of each triangle

Answers

Answer:

a.20,b.31.5

Step-by-step explanation:

h x b then Divide by 2

Roger has $3.10 consisting of quarters, dimes and nickels. He has twice as many quarters as dimes and three more dimes and nickels. Find the number of each kind of coin.

Answers

Answer:

5 dimes 2 nickels 10 quarters

A restaurant hired 15 servers for one banquet. They pay a full-time server $21.00 per hour and a part-time server $17.00 per hour. If the labour cost of the restaurant was $275.00 per hour, how many full-time and part-time servers were there for the banquet?

Answers

Answer:

5 full time servers and 10 part-time servers

Step-by-step explanation:

Hope this helped, please let me know if it is correct.

the quotient of 2 and a number x,times 3

Answers

Answer:

(2/x)3 or 3(2/x

Step-by-step explanation:

The quotient of 2 and x is expressed as 2/x Multiplied by 3 can be expressed as (2/x)3 or 3(2/x)  

A go-karts top speed is 607,200 feet per hour. What is the speed in miles per hour?

Answers

115 miles per hour. Divide 607,200 by 5280.

Which is steeper & why?
A ramp with a rise of 2ft and a run of 6ft
OR
A ramp with a rise of 1ft and a run of 4ft

Answers

A ramp with a rise of 1 ft and a run of 4ft

If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk cost?
Group of answer choices

Answers

$2.50 f ft hh oh ghghvgbhhjj

side length of a cube with a volume of 614cm

Answers

Answer:

just get the cube root of 614

If the property tax on a $100,000 home is $1500 what is the tax on a $120,000 home

Answers

the tax rate would be around 30.2% so the tax would be around $6,984 per month
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