if it takes juwan exactly 35 minutes by car to get to his grandmother's. the nearest parking area is a 4-minute walk from her apartment.one week, he realized that he spent 5 hours and 12 minutes traveling to her apartment, and then back Home. how many round trips did he make to visit his grandmother's?

Answers

Answer 1
Answer:

He made 4 round trips to visit his grandmother.

Further Explanation

Step 1

Amount of time he spent to get to his grandmother’s = 35 minutes and extra 4-minute walk (and can be expressed as 35 + 4)

= 35 + 4  

= 39

Step 2

To complete a round trip, the amount of time he spent to his grandmother’s will be multiply by 2

Therefore,

= 39 x 2

= 78

Total amount of time of a round trip = 78

Step 3

Amount of time he spent on a trip to her apartment and back home = 5 hours and 12 minutes

To determine that, 5 hours will be added to 12 minutes

Therefore,

Since 1 hour = 60,

Then, (5 x 60) +12

= (5 x 60) + 12

= 300 + 12

= 312

Amount of time he spent on a trip to her apartment and back home = 312

Step 4

To determine how many round trip he made, the amount of time he spent on a trip to her apartment and back home (312) will be divided by the total amount of time of a round trip (78) i.e. 312 ÷ 78

= 312 ÷ 78

= (312)/(78)

= 4

Therefore Juwan made a total of 4 round trips to his grandmother’s place.

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KEYWORDS:

  • juwan
  • apartment
  • 4-minute walk
  • grandmother
  • parking area
  • round trips
Answer 2
Answer: 1 Round Trip = 2(35 min + 4 min) = 78 min

Total time spent travelling:
(5 hrs * 60 min/hr) + 12 min = 312 min

Number of Round Trips:
(312 min)/(78 min) = 4 round trips

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F(x) = x, g(x) = 2x
combining functions

Answers

Answer:

f(x) + g(x) = 3x

Step-by-step explanation:

Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)

Answers

(√(7))^(6x)=49^(x-6) \n(7^(1)/(2))^(6x)=(7^2)^(x-6) \n7^{(1)/(2) * 6x}=7^(2(x-6)) \n7^(3x)=7^(2x-12) \n3x=2x-12 \n3x-2x=-12 \nx=-12

The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,

⇒ x = 8

We have to given that,

An expression to simplify,

⇒ (√7)ˣ = 49ˣ⁻⁶

Now, We can simplify the expression for x as,

⇒ (√7)ˣ = 49ˣ⁻⁶

Since, 49 = 7² = (√7)⁴

Hence,

⇒ (√7)ˣ = (√7)⁴)ˣ⁻⁶

Apply the multiply rule in exponent,

⇒ (√7)ˣ = (√7)⁴ˣ⁻²⁴

By comparing,

⇒ x = 4x - 24

Solve for x,

⇒ x - 4x = - 24

⇒ - 3x = - 24

⇒ 3x = 24

⇒ x = 24 / 3

⇒ x = 8

Therefore, The solution of x for the equation (√7)ˣ = 49ˣ⁻⁶ is,

⇒ x = 8

Learn more about the equation visit:

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you are lying 120 feet away from a tree that is 50 feet tall you look up at the top of the tree apart a proximately how far is your head from the top of the tree in a straight line

Answers

pythagoren theorem

your distance from tree is bottom leg
height of tree is height leg

a^2+b^2=c^2
a and b ar legs,
c=hypotnuse=distance from head to treee

50^2+120^2=c^2
2500+14400=c^2
16900=c^2
sqrt both sides
130=c^2
you are 130 feet away

Which of the following are geometric series?

Answers

Answer:

1 and  4

Step-by-step explanation:

ANSWER

first is the geometric series

EXPLANATION

a geometric series is a sequence of numbers whose first term is non zero and each of the succeeding terms is equal to the Prcedding term multiply by a constant number.

if a = first term

and constant number = d

then

GP is given by

a,a r , a r^2 ,a r^3 .............and so on

in first

a = 1/2

and d = 1/2

and hence it is an GP

41 feet to yards, express the answer as a mixed fraction

Answers

13 and 2/3 yards is the answer

What part of the coordinate plane is equidistant from the points a(-3,2) and b(3,2)?

Answers

We first find the midpoint of the points:
Midpoint: ((3-3)/2 , (2 + 2)/2)
= (0 , 2)
Thus, the y-axis, where x = 0, is equidistant from the two points.

Answer:

The y-axis is  equidistant from both points

Step-by-step explanation:

 we know that

The formula to calculate the coordinates of midpoint M between two points is equal to

M=((x1+x2)/(2), (y1+y2)/(2))

we have

(x1,y1)=(-3,2)

(x2,y2)=(3,2)

substitute the values in the formula

M=((-3+3)/(2), (2+2)/(2))

M=(0,2)

see the attached figure to better understand the problem

The y-axis is  equidistant from both points