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The table shows conversions of common units of length. Unit of Length Customary System Units Metric System Units 1 inch 2.54 centimeters 1 foot 0.3048 meters 1 mile 1.61 kilometers How many miles are equivalent to 800 meters? Round answer to the nearest hundredth. 0.50 miles 1.29 miles 2.62 miles 4.97 miles

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# Tag: mile

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Greg is in a bike race. at mile marker four (out of ten), his speed was measured at 13.5mph. which best describes the measured number

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$.80x=$75+$.38x

then you subtract .38x on both sides and get

$.42x=$75

once thats done you will divide .42 on both sides leaving the variable x by itself…

and then x=178.57miles

but to break even it would be 179 miles for both of the plans to cost the same

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About what percentage of the counties in Arizona have a population of less than 4–12 people per square mile?

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**Answer:**

** Distance between plane and airport is 134.4 miles.**

**Step-by-step explanation:**

**Given :** An airplane leaves an airport and flies due west 150 miles and then 170 miles in the direction S 49.17°W.

**To find :** How far is the plane from the airport.

**Solution :** Distance from airport to west is 150 miles and then 170 miles in the direction south and angle form is S 49.17° W

**Refer the attached picture for clearance.**

**Applying law of cosines**

where a= 150 miles

b=170 miles

C= 49.17° angle in degree

c = distance between plane from the airport

**Put values in the formula,**

**Therefore, Distance between plane and airport is 134.4 miles.**

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For Jane’s Uber business, she charges $5 initial fee and $0.10 a mile. Joe’s Uber business charges $4 initial fee and $0.20 per mile. 1. Write a function for jane’s Uber buisiness 2. write a function for joe’s Uber business

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**1.** The answer is** “C”.**

__ “Identical twins” __who have been raised apart are typically more similar in intelligence level than biological siblings raised together because they have been born with the same genetic code.

Identical twins originate from a single fertilized egg that parts into two. Before it parts, it is either male or female. After it parts, there are either two guys or two females. The two sections of the fertilized egg embed in the uterus and every create one of the twins.

Identical twins have the equivalent hereditary source. No immediate reason for monozygotic twinning has been resolved; it isn’t innate. Monozygotic twins speak to around 33% all things considered. They may look strikingly comparative, and it might be hard to reveal to them separated.

**2.** The answer is** “A”.**

Lawrence Kohlberg felt that one of the only ways individuals will accomplish the objectives in each of his six stages was to participate in __ “consensus democracy” __in small group settings.

Lawrence Kohlberg felt that the best way to support development through these stages was by discourse of good problems and by investment in consensus democracy inside small groups. Consensus democracy was rule by understanding of the gathering, not larger part rule. This would invigorate and widen the reasoning of youngsters and grown-ups, enabling them to advance starting with one phase then onto the next.

**3.** The answer is** “D. showing a learner how to correct common mistakes”.**

The term scaffolding alludes to a procedure in which instructors display or exhibit how to take care of an issue, and afterward venture back, offering support as required. Analyst and instructional architect Jerome Bruner first utilized the term ‘scaffolding’ in this setting, harking back to the 1960s. The hypothesis is that when understudies are given the help they require while discovering some new information, they stand a superior possibility of utilizing that learning freely. Bruner suggests positive association and three methods of portrayal amid educating: activities, pictures, and dialect.

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The statement is equivalent to

120=0 (mod n), meaning that n divides 120.

All divisors of 120 will satisfy the statement because 120 divided by a divisor (factor) will leave a remainder of 0.

Factors of 120 are:

n={1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120}, |n|=16.

You can count how many such values of n there are, and try to check that each one satisfies 127=7 mod n.

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**Answer: The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared **

**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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**Answer:**

C. Yes, because the population values appear to be normally distributed.

**Step-by-step explanation:**

Given is a graph which shows the distribution of values of a population

The graph has the following characteristics

i) Bell shaped

ii) symmerical about mid vertical line

iii) Unimodal with mode = median =mean

iv) As x deviates more from the mean probability is decreasing and also curve approaches asymptotically the x axis

Hence we find that the curve is a distribution of normal

Option C is right

C. Yes, because the population values appear to be normally distributed.

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So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= **47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.**

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So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

= **47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.**

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**Answer: The correct option is (C). 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared **

**Step-by-step explanation: **Given that the segment AB has point A located at (8, 9). The distance from A to B is 10 units.

We are to **select the correct option that could be used to calculate the coordinates for point B.**

**Let, (x, y) be the co-ordinates of point B.**

**According to distance formula, the distance between two points (a, b) and (c, d) is given by**

**Therefore, the distance between the points A(8, 9) and B(x, y) is given by**

**Since, distance between A and B is 10 units, so**

**d = 10.**

**Therefore,**

**Thus, the correct statement is**

** 10 = square root of the quantity of x minus 8 all squared plus y minus 9 all squared.**

**Option (C) is correct. **

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Reggie drove his race car 4 times around the track for a total of 10 miles. How many kilometers did he drive? (Note that 1 mile= 1.61 kilometers)

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**Answer: The correct option is (A) **

**Step-by-step explanation: **Given that in a bag of chocolate candy, ten of them are red, 7 are brown, 12 are green, and 9 are blue.

We are to** find the probability that we pick a red candy, given that we have already picked a blue candy and have not replaced it.**

**We have**

**Probability of picking a blue candy is given by**

Now, since we have already picked a blue candy and did not replace it, **so total number of candies left in the bag = 10+7+12+8 = 37.**

There are **10 red candies** in the bag,

so the** probability of picking a red candy given that we have already picked a blue candy and have not replaced it will be**

**Thus, the required probability is **

**Option (A) is correct.**

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**[A]:**“

**No solution**” .

**_______________________________________________**

Note: Given:

**_______________________________________________**

y = 4x + 8 ;

y = 4x + 2 ;

**_______________________________________________**

Since: “y = y” ;

4x + 8 = 4x + 2 ; which is not true;**______________________________**

4x + 8 ≠ 4x + 2 ; since, “8 ≠ 2” ;

Note: Suppose: “4x + 8 = 4x + 2” ;

→ Subtract “4x” from each side of the equation:

4x + 8 − 4x = 4x + 2 − 4x ;

to get: **_________________**

” 8 = 2 ” ; not true ; since “8 ≠ 2” ;**______________________________**

Also, suppose:**_______________________________**

4x + 8 = 4x + 2 ;

→ Subtract “2” from BOTH SIDES of the equation;

4x + 8 − 2 = 4x + 2 − 2 ;

to get:

4x + 6 = 4x

(Note: “4x + 0 = 4x” ; but “4x + 6 ≠ 4x”) l

But even if we have:

4x + 6 = 4x ;

→ Subtract “4x” from EACH side of the equation:

4x + 6 − 4x = 4x − 4x ;

to get:

6 = 0 ; which is not true; “6 ≠ 0” . **____________________________________**

The correct answer is: ** [A]:** “**No solution**” .**______________________________________**

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**Answer:**

Given function is ** ………..(1)**

We re write the function,

transfer k to LHS,

Since, One variable has degree 2 and one variable has degree 1.

⇒ **Function Represent the equation of Parabola.**

In given Function,

**Coordinates of vertex is ( h , k )**

So To, find the vertex of the function.

**First we rewrite the function in vertex form that is like equation (1) then we compare them and write the coordinate of the vertex.**

For Example,

1. y = 2(x – 2)² + 6 then vertex of the function is ( 2 , 6 )

2. y = -3 ( x + 3 )² – 6

y = – 3 ( x – (-3) )² + ( -6) then vertex of the function is ( -3 , -6 )

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Geovanny ran 2.5 miles. How many meters did he run if there are 1.6 km in a mile in 1000 m in a kilometer

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Kendrick travels 2/3 mile to his friend’s house.he cycles 3/4 of this distance and walks the rest of the way.what fraction of a mile did he cycle?

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**Answer:**

The right answer is 20%.

**Step-by-step explanation:**

To resolve this question, we can use the “rule of three.”

the rule of three tell us=

a————–>b

c————–>d

when we know the values for a,b and c; and we want to know the value of d we can use the next formula:

d=

so in this case, we have:

20000———>100% (is 100% cause is the total cost of the car)

16000 ———> x (we’re going to call x to the value we don’t know, and we want to know; we need to put the same values in the same part, in this example, we placed the costs of the car in the left and the percent in the right.

now using the formule we have:

= 80%

now we know the percent of the 16000, which means that 16000 is 80% of 20000.

the last step to know the decrease is subtract

20000-16000=4000

so

100%-80%=20%

the car’s cost decrease was 4000 what in percent is 20%

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