If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles? Round to the nearest tenth. (Hint: 1 foot = 0.3048) WRITE THE DIMENSIONAL ANALYSIS!!!!!!!

Answers

Answer 1

1 lap = 400 meters

Therefore, we can use something called "dimensional analysis" to convert from laps to meters. We use equivalent quantities to do so. Since 1 lap = 400 meters, we can say

1 = 400 meters / 1 lap.

This gives us a "conversion factor" between laps and meters. Since we know we have traveled 8 laps, we can multiply this by our conversion factor (which we have defined to be equal to 1!):

8 laps * 1 = 8 laps * 400 meters / 1 lap

Now we can cancel words the same way we cancel numbers in a fraction. If we have 4 / 4, we cancel the 4's and get 1. Similarly, in the above we can cancel the "lap" with the "lap" on the bottom of the fraction of the conversion factor. Then we have:

8 laps = 3200 meters

Related Questions

Betty earned $159 by selling 75 Each bracelet was the same price about how much did each bracelet cost estimate the cost of each bracelet what compatible numbers did you use

Answers

Answer:

2$ compatible numbers are 200 and 100

Step-by-step explanation:

if f (x)=x^2-x-1, then f(-5)=

Answers

[tex]\text{Given that,}\\\\f(x) = x^2-x -1\\\\f(-5) = (-5)^2 -(-5) -1 = 25 +5 -1 = 29[/tex]

Substitute -5 for x
f(-5) = -5^ 2 - (-5) - 1
= 25 + 5 - 1
=29
Hope this helps!

eight years ago mario was 25% younger than he is now how old is mario now

Answers

Answer:

32.

Step-by-step explanation:

32
this is because 25% equals 1/4 so 8 times 4 is 32

help me please .
Ester purchased a used car, a Ford Focus, for $8400. The car is expected to decrease in value by 20% per year over the next couple of years.

At this rate, what can Ester expect the approximate value of the car to be after 6 years?

Question 6 options:

$1,409

$2,202

$4,200

$1,762

Answers

Answer:

$2,202

Step-by-step explanation:

If the car decreases in value 20% per year, that means that the car is only worth 80% of its value for the next year.

80% can be written as .80.

Multiply the value of the car by .80 6 times.

8400 multiplied by .80 = 6720

6720 multiplied by .80 = 5376

repeat this sequence 4 more times to come to an answer of 2,202

The left and right page numbers of an open book are two consecutive integers whose sum is 195

Answers

Answer:

97, 98

Step-by-step explanation:

a = first number

a + 1 = consecutive number

then:

a + a+1 = 195

2a + 1 = 195

2a = 195 - 1

2a = 194

a = 194/2

a = 97

a + 1 = 98

Check:

97 + 98 = 195

Use the relationship between the angles in the figure to answer the question Which equation can be used to find the value of x? Of x x+49-28 = 180
- 49 - 28 = 180
x + 49 + 28 = 180
x + 28 = 180

Answers

Answer:

x + 49 + 28 = 180

Step-by-step explanation:

The angle adjacent to x on the left is vertically opposite 49° and is congruent.

The 3 angles then lie on a straight line and sum to 180° , that is

x + 49 + 28 = 180

Martin drank 2/3 liter of water Monday before going jogging.He drank 3/7 liter of water after his jog.How much water did Martin drank altogether?Write your answer as a mixed number.

Answers

First you need to make the denominators the same so 3 * 7 = 21 and the numerators are multiplied by the denominator of the other fraction so you get:
14/21 + 9/21 = 23/21 or 1 and 2/21 liters

What multiplication problem matches this addition problem?
6 + 6 + 6 + 6 + 6 + 6 + 6 = 42
Type the correct answer. k12 online school

Answers

6*7=42
It’s the answer I guess.

6^7=42

(6 to the 7th power equals 42)

How much material do you need to make two back pockets?

Answers

10 square inches to 16

Which rectangle is similar to a rectangle with length of 12 yards and 23 yards?
a rectangle with length 14 yards and 13 yards

a rectangle with length 14 yards and 25 yards

a rectangle with length 2 yards and 3 yards

a rectangle with length 212 yards and 223 yards

Answers

Answer:

a rectangle with 2 yards and 3 yards

Step-by-step explanation:

12 yards and 23 yards

x and 2x - 1

------------------------------------

2 and 3 = x and 2x - 1

2 and 2(2) - 1 = 2 and 3

I might be wrong.

For each question, find the slope and the y-intercept

Answers

Answer:

y = mx+b

Slope (m) = -4/5

y-int = 14

Hope that helps

A scientist counted 3,921 total eggs in
49 sea turtle nests. Each nest had about
the same number of eggs. Which is the
best estimate of the number of eggs
she counted in each eggs?

Answers

The answer is 80 eggs:) if you divide 3,921 and 80 you get 49

What is the y-intercept of the equation y = 3x - 1

Answers

Answer:

you have to go over one on the y axes then 3 up that would be your answer.

your y-intercept would be -1

What is the slope from the equation: 2x + 9

Answers

Answer:

If you want a angle the angle is positive and the answer is M=2

Step-by-step explanation:

The answer is M=2

i need help please thanks

Answers

Answer:

D) each input has only one output.

Step-by-step explanation:

Juhi had $350 more than Trent. After Juhi spent 50% of her money
and Trent spent 70% of his money, Juhi had $255 more than Trent
How much did Trent have at first?

Answers

400
Correct me if im wrong*-*

Hayar el patrón 7103425320;_________;7103676328;7103801823

Answers

Don’t understand this question your trying to ask

When factoring the equation 9x2+9x+2 what two numbers will the "9x" term be broken into?

Answers

Answer:

it will be broken into 9*what ever x is

Hope This Helps!!!

Answer:

9×x

Step-by-step explanation:

18+9x+2

20+9×x

that means 9 and x

What is 5 14/12 in simplest form

Answers

Answer:

the answer is probably 7/6

hope I am correct and if not I'm sorry

Factor 18r+12s. Write your answer as a product with a whole number greater than 1.

Answers

Answer:

6(3r + 2s)

Step-by-step explanation:

Find the gcf of 18 and 12, then divide both and put it inside the parentheses.

How many solutions are there for the system of equations shown on the graph?

No solution
One solution
Two solutions
Infinitely many solutions

Answers

Answer:

NO solution

Step-by-step explanation:

mark me brainliest pl

Your friend has prepared his monthly budget and asks you if he has overlooked anything in this planning. Which of the following questions points out his most serious omission? A 2-column spreadsheet showing Cash Inflows and Cash Outflows. Cash inflows are Disposable income 4,165 dollars, interest on savings 0 dollars, income from stocks 50 dollars, with total cash inflow 4,215 dollars. Cash outflows are mortgage 1,000 dollars, homeowner's insurance 60 dollars, car payment 373 dollars, car insurance 125 dollars, stock purchases 200 dollars, life and health insurance 150 dollars, retirement plan 500 dollars, utilities 235 dollars, cable/phone 160 dollars, groceries 600 dollars, recreation 550 dollars, with total cash outflow 3,953 dollars. a. What if your income from stocks is lost? b. What if you need to go to the doctor? c. What if the electric bill increases? d. What if you need to replace the furnace? Please select the best answer from the choices provided A B C D

Answers

Answer:

Yes its D

Step-by-step explanation:

Correct on edg. 2021

The question that points out his most serious omission from the monthly budget preparation is d. What if you need to replace the furnace?

What is a monthly budget?

A monthly budget is an outline of the cash inflows and cash outflows from a person's or firm's account during a month's period. It tracks cash inflows based on income and the outflows in expenses.

The preparation of a monthly budget helps in financial planning and control by tracking expenses and income.

Thus, the most relevant question that deals with a budget overlook is not about losing stock income, going to the doctor, increased electric bill but Option D.

Learn more about monthly budget preparation at https://brainly.com/question/1995710

57 yard . ×/1 yard =171 ft.

Answers

Answer:

the answer should be b good luck

-3(-3x-7)=48 please show work

Answers

Answer:

x = 3

Step-by-step explanation:

-3(-3x - 7) = 48=> 9x + 21 = 48=> 9x = 48 - 21=> 9x = 27=> x = 3

Conclusion:

Therefore, the answer is 'x = 3'.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

−3(−3x−7)=48

Divide both sides by −3.

−3x−7= 48

Divide 48 by −3 to get −16.

−3x−7=−16

Add 7 to both sides.

−3x=−16+7

Add −16 and 7 to get −9.

−3x=−9

Divide both sides by −3.

x= −3 −9

Divide −9 by −3 to get 3.

x=3

Step-by-step explanation:

A customer buys 6 packages of nails and 7 packages of screws for $74.35. What is the price of a package of screws?

Answers

The price of the package of screws would be = $40

How to calculate the package of screws bought by the customers?

The quantity of nails bought by the customer = 6 packages

The quantity of screw bought by the customer = 7 packages of screw.

The total amount of the whole package = $74.35

The total number of packages = 6+7 = 13

For screws = 7/13 × 74.35

= 520.45/13 = $40

Learn more about division here:

https://brainly.com/question/25289437

#SPJ1

five million four thousand three hundred in standard form

Answers

Answer:

5,004,300

Step-by-step explanation:

The standard form of five million four thousand three hundred is 5,004,300.

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

Answer:

5,004,300

Step-by-step explanation:

The standard form of five million four thousand three hundred is 5,004,300.

Hoped this helped.

GeniusUserGeniusUser

expand and simplify \left(4+\sqrt{2}\right)\left(6-\sqrt{2}\right) give your answer in the form of b +c \sqrt{2}

Answers

Answer:

you get 15\3 divide then you answer would be 5

Step-by-step explanation:

find the highest common factor

Answers

Answer:

Step-by-step explanation:

because both terms are common 12 and 6 is 3 and x² and x is x

I NEED ANSWER ASAPPPP

Answers

boy-7/12

girl-5/12...................

A farmer plants wheat in a rectangular plot of land having a length of 7260 feet and a width of
1200 feet. If the farmer makes a profit of $30 per acre, how much profit should he expect to
make from the wheat planted, in dollars?

Answers

Answer:

$6000

Step-by-step explanation:

There are 43560 square feet in an acre. The profit is expected to be ...

(7260 ft)(1200 ft) × ($30)/(43560 ft²) = $6000

_____

The area of the plot is 200 acres.

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