(I’ll mark brainliest ) The cross country running team is hosting their first home race and needs to plan and set up the course. The only tool available to record the distance measures in feet. If the course must be at least 3 miles but no more than 3.2 miles in length, what is the smallest and the largest number of feet they must walk in order to fulfill the requirements?

1 mile 5,280 feet.

Smallest:

Largest:

Answers

Answer 1

Answer:

Smallest: 15,840 ft

Largest: 16,896 ft

Step-by-step explanation:

1 mi = 5,280 ft

Setup proportion to solve for the smallest:

[tex]\frac{1mi}{5,280ft} =\frac{3mi}{xft}[/tex]

Do butterfly method and you should get this:

[tex]xft=3(5280)\\x=15,840ft[/tex]

Setup proportion to solve for the largest:

[tex]\frac{1mi}{5,280ft} =\frac{3.2mi}{xft}[/tex]

Butterfly method:

[tex]xft=3.2(5280)\\x=16,896ft[/tex]


Related Questions

Find the value of x for the right triangle.




trigonometric ​

Answers

Here's the solution,

The given triangle is a right angled triangle,

So, by Using Trigonometry :

=》

[tex] \sin(30) = \dfrac{x}{13} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{x}{13} [/tex]

=》

[tex]x = \dfrac{13}{2} [/tex]

=》

[tex]x = 6.5[/tex]

hence, value of x = 6.5 units

The circumference of a circle measures 15.7 centimeters. What is the measure of its diameter?
a. 12 cm
c. 5 cm
b. 10 cm
d. 2.5 cm

Answers

Answer:

a

Step-by-step explanation:

a. 12 cm

there you go

what is the answer to
This?

Answers

Answer:

y=23

Step-by-step explanation:

9. Find DP
please help!!!!!!

Answers

Answer:

DP = 15.

Step-by-step explanation:

I am assuming that DP EP and FP are peroemdicular bisectors of the sides of ABC.

D is the midpoint of AB so

2x + 14 = 8x - 52

14+52 = 8x - 2x

6x = 66

x = 11.

So side AD = 2(11) + 14 = 36.

Now PC = PA = 39.

So by pythagoras:

DP^2 = AP^2 - AD^2

= 39^2-36^2 = 225

DP = sqrt 225

= 15.

how many 1/2 cups to make 3/4 of a cup?

Answers

Fill a cup with the thing you want to measure. Pour or take out half of it into another cup(this is 1/2 cup,). Now from either of the cups take out half of the thing you are measuring(it is 1/4 cup) . Add this one fourth quantity to half of the quantity now the final quantity in the cup is 3/4( 1/2 +1/4).

We are required 1.5 half cups to form the required fraction of a cup.

What is a fraction?

The upper part of a fraction is numerator and the lower part is denominator.

How to find the fraction?

We are told to make 3/4 of a cup from1/2 of cup so let the number of times we need half of a cup be x

So

1/2 * x=3/4

x=3/2 which means 1.5

So we need 1.5 times the half cup to make 3/4 of a cup.

Learn more about fraction at https://brainly.com/question/78672

#SPJ2

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Answers

SA= 246
if this is right please mark as brainliest

You invest $1,900 at 4% and it's compounded semi-annually (twice a year) for 3 years. How much will your $1,900 be worth in 3 years?

Answers

Answer:

FV= $2,139.71

Step-by-step explanation:

Giving the following information:

You invest $1,900 at 4% and it's compounded semi-annually (twice a year) for 3 years.

First, we need to calculate the semiannual interest rate:

Semmi-annual interest rate= 0.04 / 2= 0.02

To calculate the future value, we need to use the following formula:

FV= PV*(1 + i)^n

PV= $1,900

i= 0.02

n= 2*3= 6 semesters

FV= 1,900*(1.02^6)

FV= $2,139.71

can y’all help i’ll mark as brainlyest

Answers

Answer: 64

Step-by-step explanation: I think those are alternate interior angles so they should be congruent.

SLFJ SDFNEFS LF A SF IE FJS VS IKF DSFNIS DSF

Answers

Answer:

40

Step-by-step explanation:

I think but what do you mean???!!!!

Find the inverse of the function.
f (x) = (x - 5)3=

Answers

Answer:

i think its  (x - 5)3 = (x) f

Step-by-step explanation:

Christine worked 27 hours last month and earned $9 per hour. She spent $15 of her earnings since then. How much money does she have left?

Answers

Answer:

Step-by-step explanation:

228

Simplify the radical expression
[tex]\sqrt5+6\sqrt5[/tex]

Answers

Answer:

Step-by-step explanation:

These are "like terms," as both terms contain √5.  We add the coefficients together but leave the radical term √5 as is:

  √5

+ 6√5

-----------

 7√5

Answer:

√5 +6√5= 7√5

Decimal: 15.65247...

The price of 7​-minute phone call is ​$.105 What is the price of 18 ​-minute phone​ call?
The price of 18​-minute phone call is ​$

Answers

Answer:

$.27

Step-by-step explanation:

.105/7*18

HELP PLZZZ!! (No link) .itch

Answers

I got an answer of 81.44

Which of the following are
undefined?
f(g(0))
f(g(-1))
f(g(1/6))
g(f(-1))
g(f(1/2))
g(f(1/6))

Answers

Take a picture of the question and then post it so I can help

Answer:

B, D, F

Step-by-step explanation:

Edgen2021

LOL what does frickingtriangle + square =6 equal

Answers

Answer:

3+3=6

Hope dhhhdjsjsbsjdbshs

Rewrite the following equation in standard form. y = 2/5x​

Answers

Answer:

2x - 5y = 0

Step-by-step explanation:

A scary man dressed as a tomato stops you on the street and demands that you do the problem: 6.76 / 1.3 What is your answer to 6.76 / 1.3?

Answers

Answer:

5.2

Step-by-step explanation:

Just divide 6.76 and 1.3, which equals 5.2.

What is the value of X?

Answers

Answer:

56

Step-by-step explanation:

You add 91 and 33 and you get 124. Subtract 180 and 124 to get 56.

56 because the 3 angles have to add up to 180. Please mark as brainliest. :)

PLEASE I REALLY NEED HELP PLEASE!!

Answers

Answer:

I think the answer is B.

Step-by-step explanation:

What is 20 pounds per 5 gallons written as a unit rate? Explain how you got your answer.

Answers

Answer:

20/5=4/1= 4 pounds per gallon.

Step-by-step explanation:

I got that answer by dividing 20/5 and you will get 4. Then you will divide 4/1 because unit rates your supposed to have a denominator of 1. And your answer should be  4 pounds per gallon.

^Hope this helps have a good day, Hazel^

The length of a rectangular garden is four times its width (w), plus 3 feet. Which expression represents the garden's length in feet?

Answers

Answer: 4w + 3

Step-by-step explanation:

Since the width is represented by w.

The expression for the length of the rectangular garden which is four times its width (w), plus 3 feet will be:

= (4 × w) + 3

= 4w + 3

For example, if the width is 5feet, the length will be:

= 4w + 3

= 4(5) + 3

= 20 + 3

= 23 feet.

Write 2/8 in simplified form

Answers

Answer:

1/4

Step-by-step explanation:

because you basically divided by two on

Answer:

1/4 is the answer mark me brainliest

Help plz this is due today

Answers

Answer:

All three are similar!

Step-by-step explanation:

If you get that right, follow Sammy Revv on Spotify!

Answer:

The three of them are similar.

Step-by-step explanation:

1- Triangle A and Triangle B have two same angles, 37° and 47°, which means the two angles are congruent. According to the Angle Angle Theorem (AA), in two triangles, if two pairs of corresponding angles are congruent, then the triangles are similar.

2- First, place both triangles correctly. When you do it, you'll notice that 24≅12, 32≅16, and 9≅4.5:

24/12 = 2 ✓ 32/16 = 2 ✓ 9/4.5 = 2 ✓

According to Side-Side-Side Theorem (SSS), if the measures of corresponding sides are known, then their proportionality can be calculated. If all three pairs are in proportion, then the triangles are similar.

3- Here, the triangle shows in each one two different angles, sharing only one which is 55°. To know if they are congruent, you can add the two different angles that show both triangles, 72° and 53°, with the 55°. If it gives 180, it means the can be congruent:

55°+72°+53 = 180° ✓

Mason wants to buy 3 cans of cat
food for his cats. The store sells 8
cans for $11.44. What is the cost
of 3 cans of cat food?

Answers

Answer:

$4.29

Explanation:

$11.44 / 8 = $1.43

$1.43 x 3 = $4.29

Which sign makes the statement true? -7 /10 or 1/5 > < =

Answers

Answer:

-7/10 < 1/5

Step-by-step explanation:

a negative number is always less than a positive number.

Answer:

Step-by-step explanation:

It would be <!

15 ≥ z + 26
help pls lolololololololololololololollololololololololololololo

Answers

Answer:

[tex]z\leq -11[/tex]

Step-by-step explanation:

[tex]15 \geq z + 26[/tex]

[tex]-11 \geq z[/tex]          Subtract 26 from both sides

[tex]z\leq -11[/tex]

Part B at 10:00 a.m., lin's was 7 meters. Add this point to the graph

at 1:00 p.m., lin was at sea level. add this point to the graph.​

Answers

Answer:

add a graph so we can help you

Step-by-step explanation:

Which expression is equivalent to 4/9 x 2

Answers

Answer:

4 × 2/9

Im sorry if I'm wrong

Answer:

4 × 2/9

Step-by-step explanation:

both equal 8/9

Ivan knows two sides of a triangle are 16 meters and 6 meters. What two values must the third side be between

Answers

Answer:

Third side lies between 10 & 22.

Step-by-step explanation:

Any side of triangle is greater than difference of two sides. Sum of two sides of triangle is always greater than third side.

So, letting third size be = x

Difference of two sides < Third side x < Sum of two sides

Difference of two sides = 16 - 6 = 10 , Sum of two sides = 16 + 6 = 22

Hence, 10 < Third side x < 22

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