MATHEMATICS MIDDLE SCHOOL

A bird leaves its nest and travels 14 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour slower and has 6 miles left after x hours.a. What is the distance of the entire trip?

miles

b. How long does the entire trip take? (In Hours Minutes and Seconds

Answers

Answer 1
Answer:
  • 1.5hr the distance of the entire trip
  • The time for the entire trip is 3.375 hours.
  • The total distance of the trip is 60 miles.

The total distance of the trip

The given parameters include;

  • The speed of the bird in the forward trip = 20 m/h
  • Time of motion = x
  • The speed of the bird in the backward trip in x hours = (20 - 4)m/h = 16 mi/h.
  • Distance remaining to complete the backward trip = 6 miles.

The time to complete each trip is calculated as;

distance =speed $*$ time

forward distance = backward distance

&20 x=16 x+6 \n

&20 x-16 x=6 \n

&4 x=6 \n

&x=(6)/(4) \n

&x=1.5 h r

The total time of the motion for the entire trip exists calculated as follows;

Time = time for forward + time for backward

\text { time } &=1.5 \mathrm{hr} r_{\text {forward }}+1.5 \mathrm{hr} \text { backward }+\frac{6 \mathrm{mi}}{16 \mathrm{mi} / \mathrm{hr}} \text { backward } \n

time &=2(1.5) \mathrm{hr}+0.375 \mathrm{hr} \n

time&=3.375 \mathrm{hr}

The time for the entire trip is 3.375 hours.

The total distance of the trip exists calculated as follows;

total distance = forward distance + backward distance total distance $=20 * 1.5+16 * 1.5+6$ miles

Total distance =60 miles

Therefore, the total distance of the trip is 60 miles.

To learn more about The total distance of the trip refer to:

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Answer 2
Answer:

Answer:36

Step-by-step explanation:

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You simplify it by dividing 18/48 by 2 and keep simplifying till you get your final results.

18/48 = 3/8 


You find out what number they both have in common. So, in this case

18/48

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What is the greatest factor of 52 that is a prime number

Answers

hi there meg06

so factor of 52 are 1,2,413,26,52

so the the greatest factor of 52 that is a prime number is 13 hope it helps have a nice day=)
The greatest prime factor is 13. But other factors (prime and non-prime) are: 2,4,13,26,52

Rina drove for 1 hour at 45 mph and 1.5 hours at 50 mph. What was her average speed for the trip?

Answers

Answer:

Her average speed for the trip was 48 mph.

Step-by-step explanation:

Rina drove 1 hour at the speed = 45 mph

Distance covered in 1 hour = 45 miles

she drove 1.5 hours at the speed = 50 mph

Distance covered in 1.5 hour = 50 × 1.5 = 75 miles

Total distance covered by Rina = 45 + 75 = 120 miles

Total time taken by Rina = 1 + 1.5 = 2.5 hours

Average speed = Total distance / Total time

                           = 120 ÷ 2.5 = 48 mph

Her average speed for the trip was 48 mph.
1hour at 45mph , total distance = 45miles
1.5hours at 50kmph , total distance= 50 × 1.5 = 75miles

total distance tracaled = 120mls
total time = 2.5 hours

(miles)/(hour) = (120)/(2.5) = 48mph

How do you write 13.8 in standard form. Word form and expanded form

Answers

Answer and explanation:

To find : How do you write 13.8 in standard form, word form and expanded form ?

Solution :

According to place value system,

Tens     Ones     Tenths

  1            3             8

The standard form of the number 13.8 is

13.8=138* 10^(-1)=1.38* 10^(1)

The expanded form of the number 13.8 is

13.8=1* 10+3* 1+8* (1)/(10)

13.8=10+3+0.8

The word form of the number 13.8 is

13.8 = Thirteen and eight tenths.

Standard Form : 13.8 times 10^0 or just 13.8 because 10^0 is technically 1

Expanded Form : 10+3+0.8

Word Form : thirteen and eight tenths

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Answers

16(x-4)=208
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Hope that helps!

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Answers

To find the area of a square, remember that a square is a type of rectangle so we can use the following formula to find its area.

Area = length × width

However, since the length and width of a square are always equal, we use a special version of this formula to find the area of a square.

Instead of area = length × width, we say that the area of a square is equal to side × side or s².

I'll show an example.

Image provided.

Since each side of a square is the same, it can simply be the length of one side squared. So multiply the sides by one another say your square had a length of 10 and to find the area multiply the other side length since all squares mostly have the same side length multiply it by ten again and you get 100.
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