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Step2247 [10]
3 years ago
12

A man drove x miles per hour for 3 hours and (2x-60) miles per hour for the next 4.75 hours. A)Express the total distance travel

ed in terms of x
Mathematics
1 answer:
erik [133]3 years ago
6 0

Answer:

12.5x-285.

Step-by-step explanation:

We are told that a man drove x miles per hour for 3 hours, so he traveled 3x miles in three hours.

We are also told that he drove (2x-60) miles per hour for the next 4.75 hours. So The distance traveled by in next 4.75 hours will be:

4.75\cdot (2x-60)=9.5x-285  

To find the total distance traveled by man we will add distances traveled by him in first 3 hours and next 4.75 hours.

\text{The total distance traveled}=3x+9.5x-285

Upon combining like terms we will get,

\text{The total distance traveled}=(3+9.5)x-285

\text{The total distance traveled}=12.5x-285

Therefore, the total distance traveled in terms of x will be 12.5x-285.

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In ∆ABC, point D is the centroid. If (AE) ̅=15, (BF) ̅=27, and (CD) ̅=8, find the following lengths
Anna71 [15]

Answer:

5,18,12 cms are the answer.

Step-by-step explanation:

Given is a triangle ABC.  Point D is the centroid.  

E,F and G are midpoints of CB, BA and AC respectively.

AE, BF and CG are medians of the triangle.

We know that centroid divides the median in the ratio 2:1

Using this we find that AD:DE = 2:1

Or AD+DE:DE = (2+1):1

AE:DE =3:1

15:DE = 3:1 . Hence DE =5 cm.

On the similar grounds we find that DF = 1/3 BF = 9

Hence BD = DF-BF = 27-9 =18 cm

and also

CG = 3/2 times CD = 12 cm.

7 0
3 years ago
write an equation of the line passing through the point (6,3) that is perpendicular to the line 5x - 6y = 10​
Jlenok [28]

Answer:

5x-6y-12=0

Step-by-step explanation:

...make y the subject y=-6/5x +2

...use the coefficient of x as the gradient,m=-6/5

...for a perpendicular line,find the negative reciprocal of the gradient,5/6

...sub into the eqn y= -1/m(x-a)+b

3 0
3 years ago
Please help me or i will fail
dusya [7]
Find area of square: 7^2 = 49

Find radius of circle: 7/2=3.5

find area of circle: 3.5^2*3.14=38.465

Remove area of circle from area of square:
49-38.465=10.535 cm^2

Answer A is the correct one :)
4 0
3 years ago
Ticketd to the school play cost $11 for adults and $6 for children. What expression can be used to find the toyal cost for x adu
Makovka662 [10]

Answer:221

Step-by-step explanation:

4 0
3 years ago
Please HELP
jeyben [28]

Answer:

The room is square. This is because it says "diagonal of the floor..." Which means it is from one corner of the room to the opposite end.

Step-by-step explanation:

It says "four wall room" which means it is a square. It also states that each wall meet at a right angle. To through you off this question stated the word 'diagonal' to mess with you when reading this question quickly. If you look more detailed and I like to re-read sentences in order to recognize all the information given. So the Room IS a Square.

3 0
2 years ago
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