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

Your teacher will grade your response to ensure you receive proper credit for your answer.
Explain how to find the degree of a polynomial.

please....help...

Answers

Answer:

Step-by-step explanation:

Degree is defined as the highest power of the polynomial function.

The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.

The polynomial function has n roots or zeroes.

Consider a polynomial function  

The highest power of the polynomial function is 4.

Therefore, the degree of the polynomial function is 4.

Since, the degree of the polynomial function is 4. Therefore, the polynomial has 4 roots.

The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.

Sarah use a gift card to buy for $47 worth of food she has $18 left on her gift card write an equation to represent a situation

Answers


47
-18
29 try that
And if can try division

Answer: 1.50

Step-by-step explanation:

The sum of a number f and 9 is equal to 38. Write an equation to represent this situation.

Kim rented skates for h hours. The rental fee was $2 per hour. She paid a total of $8. Write an equation to represent this situation.  

The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4. Write an equation to represent this situation.  

John is paid $8 more than the number of bags of peanuts he sells at the baseball stadium. The table given below shows the relationship between the money John earns and the number of bags of peanuts John sells. Identify the independent and dependent variables, and write an equation to represent  this situation.

A taxi charges a flat rate of $3, plus an additional $1.50 per mile. Write an equation to represent this situation.  

Change 2.33 to a simplified fraction. Round to the nearest hundredth.

Answers

Answer: 233.00

Step-by-step explanation: In this case, Rule I applies, so 233/1 (or 233.000) rounded to the nearest hundredth in decimal format is:

Given that a/b=3/5 and b/c=4/5
Find a:b:c giving your answer in its simplest form

Answers

Answer:

12 : 20 : 25

Step-by-step explanation:

Express the ratios in terms of a

[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )

3b = 5a ( divide both sides by 3 )

b = [tex]\frac{5}{3}[/tex] a

[tex]\frac{b}{c}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )

4c = 5b ( divide both sides by 4 )

c = [tex]\frac{5}{4}[/tex] b = [tex]\frac{5}{4}[/tex] × [tex]\frac{5}{3}[/tex] a = [tex]\frac{25}{12}[/tex] a

Then

a : b : c

= a : [tex]\frac{5}{3}[/tex] a : [tex]\frac{25}{12}[/tex] a ( multiply each part by 12 to clear the fractions )

= 12a : 20a : 25a ( divide each part by a )

= 12 : 20 : 25

“ Use what you know about function notation to complete the statements “ PLS HELPP

Answers

Step-by-step explanation:

I don't know the options to pick from.

the 2 main possibilities coming to my mind are

y = f(x)

or

(x, f(x)) or (x, y)

there is no specific function coming to mind. the functional values bounce around above and below the x-axis (positive and negative y-values) with not detectable pattern related to the x values.

the other 2 questions can be found directly in the table :

f(3) means f(x) with x=3, and that is -2

and f(x) = -5 is true, when x = 4

Which bottle of water costs more per ounce: a 12
ounce bottle for $1.25 or a 16 ounce bottle for
$1.50?

I really need help with this!

Answers

Answer:

the second bottle

Step-by-step explanation:

To get the amount it costs per ounce, divide the amount of money by the number of ounces.

A water bottle that costs $1.25 for 12 ounces costs roughly 10 cents per ounce. A water bottle that costs about 9 cents per ounce.

therefore, the 16 ounce bottle is cheaper per ounce

Topic 1: Translate

The sum of twice a number and 9 is -25."

Answers

Answer:

2n + 9 = - 25

Step-by-step explanation:

let the number be n then twice the number is 2n

The sum of 2n and 9 is 2n + 9

the result is - 25 , that is

2n + 9 = - 25

Answer:

x=-17

Step-by-step explanation:

The sum of twice a number and 9 is -25."

2x + 9 = -25

2x = -34

x = -17

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

check

2 * (-17) + 9 = -25

-25 = -25

the answer is good

What is the slope of a line that passes through (2, 4) and (3, 8)

Answers

4 is the correct answer because it just is i dont need to prove myself to you

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer:

i think its b

Step-by-step explanation:

Solve with elimination:
-2x - 4y = 8
-6x +24 = 12y

Answers

Ohh, Elimination Im doing that XD So its

Anwser - No Solution

given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line. PLEASE! Helppp

Answers

Answer:

(-6,-5)

Step-by-step explanation:

y2-y1

x2-x1

subtract then you get the answer

3/10+21/100 as a fraction

Answers

Answer:

51/100

Step-by-step explanation:

3/10 + 21/100=> 30/100 + 21/100=> 51/100

Conclusion:

Therefore, 3/10 + 21/100 equals 51/100 as a fraction.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

0.51000 which as smaller is 0.51

Step-by-step explanation:

simplify 21/ 100 then add 3/10 + 21/100 then simplify 3/10 then you would do 3×10+21/100 which equals 51/100

I NEED HELP FOR 3 AND 4 PLEASE I GIVE 30 POINTS.

Answers

Answer:

Number 3 is 10

Step-by-step explanation:

16+13(10)=146

14(10)+6=146

Answer:

See answer below.

Step-by-step explanation:

# 3  x = number of boxes

     $16 + 13x = Tracy cost

     $6 + 14x = Brendan cost

     The costs are equal.  

    16 + 13x = 6 + 14x

     10 + 13x = 14x

      10 = x

#4   First plan                                                            second plan

      x = number of people at a table          x = number of people at a table

      y = number of people at a booths        y = number of people at a booths    

     

24x + 21y = 270       multiply by 23   ⇔   552x + 483y = 6210

 14x + 23y = 222      multiply by -21   ⇔ -294x  - 483y = -4662

                                                                   258x    =     1548

                                                                          x  = 6

Six people at each tables

 24 (6)  + 21y = 270                                      

   144 + 21y = 270

         21y = 126

            y = 6      

Answer: 6 people at each table; 6 people at each booth.

simplify. rewrite the expression in the form 5^n

(5^-8) (5^-10)

Answers

Answer:

5^-18 or 1/(5^18)

Step-by-step explanation:

(5^-8) (5^-10)

= 5^(-8 + -10)

= 5^-18

or 1/(5^18)

Jack was the science Museum in sabotage the recycling plant had an average speed of 26KM/H. Sometime later Aaliyah love traveling in the opposite direction with an average speed of 57KM/H. After Jack had traveled for four hours they were 332KM a part. How long did Aaliyah travel?

Answers

Off topic, I like your username :] good luck with whomever answers though <33

Karen's mother gets a restaurant bill for $25 she has a coupon for 15% off after the discount is applied she adds 20% as a tip what is the total after the discount and tax

Answers

$25.50

step by step explanation: 15% means u can multiply it by .85

so .85x25
= $21.25

the next step is to find the tip

to do this you do

$21.25+ (21.25x .2)

final: $25.50

hope this helps

Answer:

$25.50

Step-by-step explanation:

with a 15% off coupon she is paying 85% of the $25 bill, which is:

.85 x 25 = 21.25

if she adds a 20% tip on 21.25 then we can do the following:

1.2 x 21.25 to get the total after the discount and with tax:

$25.50

Write an equation for a line parallel to the line y = 1/3 * x - 4 that passes through (- 3, 2)

Answers

Answer:

B.  y = 1/3x + 3

Step-by-step explanation:

Answer:  I think the answer is B

Sketch the graph of f(x) = 1/2x + 5

Answers

Rise over run in this case is 1/2 so for every 1 it goes up it goes 2 across

The y intercept here is 5

The graph is in the image.

Given Polynomial:
5x-4x^2+3

Solve for x=0​

Answers

[tex]\huge \rm༆ Answer ༄[/tex]

Plug the value of x as 0 in the given Polynomial ~

[tex] \sf5x - 4 {x}^{2} + 3[/tex]

[tex] \sf(5 \times 0) - (4 \times 0 {}^{2} ) + 3[/tex]

[tex] \sf0 - 0 + 3[/tex]

[tex] \sf3[/tex]

Therefore , the equivalent value is 3

What is another way to represent 3%?
A) 0.3
B) 3
C) 0.03
D) 3/10

Answers

it's C 0.03

0.03= 3%

0.30= 30%

3.00= 300%

the answer is c)0.03

What is the value of x

Answers

Answer:

x = 5

Step-by-step explanation:

Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is

[tex]\frac{AB}{DC}[/tex] = [tex]\frac{EA}{ED}[/tex] , substitute values

[tex]\frac{10}{4}[/tex] = [tex]\frac{2x+10}{x+3}[/tex] ( cross- multiply )

10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides

10x + 30 = 8x + 40 ( subtract 8x from both sides )

2x + 30 = 40 ( subtract 30 from both sides )

2x = 10 ( divide both sides by 2 )

x = 5

What is the value of the expression below?

(8+1/8) divided by (2.5+3/4)
2.5
4.875
11.375
26.4

Answers

Answer:

2.5

Step-by-step explanation:

(8+1/8) = 8.125

(2.5+3/4) = 2.5 + 0.75 = 3.25

8.125 / 3.25 = 2.5

Fill in the missing numbers to complete the linear equation that gives the rule for this table.

Answers

Answer:

y= -10x-24

Step-by-step explanation:

To write the linear equation, first find the slope.

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

Let's pick the first two x and y values as our coordinate points.

(1, -34) (2, -44)

[tex]\frac{-44-(-34)}{2-1} =-10[/tex]

The slope is -10.

Use the point-slope formula to write the equation.

y-y1= m(x-x1)

y-(-34)= -10(x-1)

y+34= -10x+10

y= -10x-24

can someone plz explain and gimme the answer...

Answers

Answer:

The choice two

[tex]5 \sqrt{2} [/tex]

Step-by-step explanation:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {5}^{2} + {5}^{2} = {c}^{2} \\ 25 + 25 = {c}^{2} \\ 50 = {c}^{2} \\ c = 5 \sqrt{2} [/tex]

i need help with this!!

Answers

Answer:

[tex]x<-4[/tex]

Step-by-step explanation:

[tex]8x-4<-36\\\Add\:}4\mathrm{\:to\:both\:sides}\\8x-4+4<-36+4\\\mathrm{Simplify}\\8x<-32\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{x}:x\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{8}=1\\=x\\Simplify\\\frac{-32}{8} \\[/tex]

Apply the fraction rule

[tex]=-\frac{32}{8}\\Divide\\ \frac{32}{8} = x=-4\\x<-4[/tex]

I HAVE 2 LEFT PLEASE HELP WILL GIVE BRAINLIEST
Dracos invested $125,000 in 2008. Each year its value increased by 5%. Which of the following equations can be used to represent the investment value after x years.

Group of answer choices

f(x)=125,000(1.05)x
f(x)=15(125,000)x
f(x)=125,000(0.85)x
f(x)=85(125,000)x

Answers

Answer:

f(x)=125k(1.05)x

Step-by-step explanation:

ommg

ok so every year it increase by 5%, aka 105%

which is 125k*105/100x which is the first one f(x)=125k(1.05)x

if u are not sure than use cross of elinimation

cant be 2nd one cause its not correct

third one ur decreasing

fourth one is just like the 2nd one

solve the equation using elimination

Answers

Answer:

1 1/3

Step-by-step explanation:

you would take 3x+2y=7 and put y=-3x+11 in place of y so it would be 3x+2×-3x+11=7

simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0​

Answers

Answer:

[tex]\boxed{\sf\: B)\:3^{12}}[/tex]

Step-by-step explanation:

[tex]\sf 3^2\times \:3^4\times \:3^6[/tex]

Apply exponent rule:

[tex]\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}[/tex]

[tex]\sf 3^2\times \:3^4\times \:3^6[/tex][tex]\sf 3^{2+4+6}[/tex]

Add the numbers:

[tex]\sf 2+4+6=12[/tex][tex]\sf \:3^{12}[/tex]

________________________________

PLEASE HURRY!!!!!! WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).

Answers

Answer:

Step-by-step explanation:

Question 10
The graph below shows a rational function.
10-
5
-
1
2
3
4
5
6
-3
-6
-5
-4
-2
-5
10-
15+
Select the function that represents the graph.
32+5
A y =
2+1
O
0
B
y =
32+5
2+2
22
с
y =
D
y=2-1

Answers

According to it's asymptotes, the function represented by the graph is:

[tex]y = \frac{3x + 5}{x + 1}[/tex]

The vertical asympotes of a function f(x) is the points which are outside the function domain.

In a fraction, they are given by the zeroes of the denominator.

In this problem, there is a vertical asymptote at x = -1, which is a zero of the denominator, hence the denominator is x + 1.

The horizontal asymptotes are the values of the function as x goes to infinity.

In this problem, they are given by:

[tex]\lim_{x \rightarrow -\infty} f(x) = -3[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex]

Hence, the option that satisfies it is:

[tex]y = \frac{3x + 5}{x + 1}[/tex]

To learn more about asymptotes, you can take a look at https://brainly.com/question/16948935.

Other Questions
Mention three types of phrases and give examples of each Skin grafts between identical twins are more successful than grafts between more unrelated individuals. Why Given the function below find f(-2).f(x)=x23x+5Group of answer choices10152025 If (k+1), 3k, (4k+2) are three consecutive terms of an AP then k = ? What does Lincoln find ironic about the prayers of both sides? Help please this is due today!!!please provide a small explanation!! pls answer quickly Students at a school were asked to state their preferences in music. Results of the survey are shown in the circle chart. What percent of students preferred rock and classical music? A) 15% B) 26% C) 39% D) 57% Who does Coretta Scott King meet with inside the church?help What math do high schoolers learn? Do they only learn trigonometry, geometry and equations? What is the missing number that makes the ratios equivalent? 12:9 _:18 Multi step equations that equal 17 with fractions what is the connotive meaning of lifeless and faceless as it is used in these lines from creating a piece of sky Inflexible or unreliable processes cause organizations to produce goods before they are required; this is called: A. excess motion. B. inappropriate processes. C. overproduction. D. defects. I don't understand the question, can somebody explain it to me, please :)Insert into the blank, the letter or word that is spelled belowere What is a key difference between bank embezzlement and bank robbery?A person who robs a bank must show a weapon; an embezzler typically uses a pen or computer.There is no legal difference between embezzlement and robbery.A person who embezzles funds must have been an employee of the bank for a minimum of twenty-five years; bank robbersneed only have been ten-year employees.A person who embezzles funds from a bank must be an employee or someone trusted to manage the bank's assets; a bankrobber can be anyone. Which tactic for overcoming resistance to change basically assumes that the source of resistance lies in misinformation How long is a bus journey that starts at 8.55 a.m. and ends at 9.17 a.m.? Please can you put the answer in minutes? There are 20 pieces of fruit in a bowl 8 of them are apples. What percentage of the fruit is apples? I DONT KNOW AHHHHHH[tex]0.399 + w = 0.4[/tex] Given the function f(x) = 0. 5|x 4| 3, for what values of x is f(x) = 7?.