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matrenka [14]
2 years ago
6

A family is taking a cross-country trip by car.they drive at an average speed of 55 mi/h, and their goal is travel at least 400

mi/day.how many hours per day do they need to drive?
Mathematics
2 answers:
7nadin3 [17]2 years ago
5 0

Answer:

0.31hour

Step-byd-step explanation:

If a family drives at least 400mi/day, this means they drive at least 400mi/24hours since there are 24hours in a day.

Considering the expression;

If 400 miles = 1day which is also equivalent to 400 miles = 24hours

To get the amount of miles driven in an hour we have;

400miles = 24hours

x miles = 1hour

Cross multiplying we have;

400 × 1 = 24x

x = 400/24

x = 16.7miles

This means means they covered at least distance of 17 miles in an hour.

If their average speed is 55miles/hour.

The number of hours they need to drive per day can be calculated using the expression;

Speed = distance/time

Time = Distance in miles per hour/speed

Time = 17/55

Time = 0.31hour

bazaltina [42]2 years ago
4 0
Distance = 400 mi

Speed = 55 mi/h

time =  Distance / Speed = 400 / 55 ≈7.27   hours.

They need to travel at least 7.27 hours a day.

Hope this helps.
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"In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides."
Harlamova29_29 [7]

Answer:

C

Step-by-step explanation:

It is provable about 180 ways, some of them quite elegant. There was a book published in the 1940s listing what they then knew. Others have been added since and it shows up in the oddest places which you can search out.

That is interesting but it does not answer your question.

A: Nothing is defined. This statement is a truth, but unproved. A is not the answer.

B: No term requires defining unless you don't know what a hypotenuse is, but that is a separate problem.

D: a postulate is a statement that is true that cannot be proven nor does it need to be. There aren't that many around in math. Euclid said "All right angles are congruent." True and not needing proof.

C: It is a theorem. This is a statement that may not be obvious and does require proof.

6 0
3 years ago
One side of a square flower bed is 16 feet long. How many plants are needed if they are to be spaced 16 inches apart around the
svetoff [14.1K]
Convert the 16 feet to inches by multiplying 16 by 12 to get 192 inches, then divide that by 16 inches to get your answer that is equal to 12. Hope I could help!
5 0
2 years ago
Help quick please give an explanation too.
Lady_Fox [76]

Answer: (x+2)*(x-4)*(x+21) = 0 has "many" solutions

Step-by-step explanation: (x+2) = 0 only has one solution.  

(x+2)*(x-4) = 0 has two solutions, -2 and 4

(x+2)*(x-4)*(x+21) = 0 has three solutions, -2, 4, and -21, etc

If "many" means more than three, then add another (x+XX) term.  A quadratic equation generally has two solutions.

4 0
3 years ago
5x-6y=-8 solve the equation
Setler79 [48]

Answer:

<u>Solved for y:</u>  y = 4/3 + 5/6x

<u>Solved for x:</u>  x = 6/5y - 8/5

Step-by-step explanation:

Solving for y

<u>Step 1:  Subtract 5x from both sides</u>

5x - 6y - 5x = -8 - 5x

-6y = -8 - 5x

<u>Step 2:  Divide both sides by -6</u>

-6y / -6 = (-8 - 5x) / -6

y = 4/3 + 5/6x

Solving for x

<u>Step 3:  Add 6y to both sides</u>

5x - 6y + 6y = -8 + 6y

5x = 6y - 8

<u>Step 4:  Divide both sides by 5</u>

5x / 5 = (6y - 8) / 5

x = 6/5y - 8/5

5 0
2 years ago
Plzzzzzzzzzz tell how to do the 2nd part in question 27
Nutka1998 [239]
Hey ,
Here is the answer to ur question...
Given: A triangle in which area =144root3 cm^2....
To find: Perimeter of the triangle...
Solution: As we know area of an equilateral triangle =root3/4 a^2.....
and given area is 144root3
=>Area =144root3
=>root3/4a^2=144root3
=>a^2=144root3*4/root3
=>a^2=144*4
=>a^2=576
=>a=root576
=>a=24
So,now we got each side of the triangle as 24cm.
=>perimeter=side*3=24*3=72cm....
Hope this helps u....

8 0
3 years ago
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