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2 years ago

4(9-x)6-6(4-7x)>5(1-2x)-8x+9(6-x)

Mathematics

1 answer:

Kazeer [188]2 years ago

6 0

Answer:

x > 133/45

WORKING :

Multiply the number : 4 . 6 = 24

24(9-x) - 6 (4 - 7x) > 5 (1 - 2x) - 8x + 9 (6-x)

expand 24(9 - x) - 6(4 -7x) : 18x + 192

expand 5(1-2x) - 8x + 9(6-x) : - 27x + 59

18x + 192 > -27x + 59

subtract 192 from both sides

18x + 192 - 192 > -27x + 59 - 192

simplify

18x > -27x - 133

add 27x to both sides

18x + 27x > - 27x - 133 + 27x

simplify

45x > - 133

Divide both sides by 45

45x/45 > 133/45

Simplify

x > 133/45

FINALLY ANSWER :

X > 133/45

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how much time will it take a car to travel 60 kilometers if the car is traveling at an average speed of 40km/hr?

lbvjy [14]

In the question, we are given with speed of a car and the distance it have to travel.

Given:

Speed of the car = 40 km/hr.
Distance to travel = 60 km

So, we can say that in 1 hour, the car can travel 40 km. And we have to find the time taken by the car to travel 60 km.

This can be easily done by using the Speed, Distance and Time formula which says:

$\large{ \boxed{ \bf{Distance = Speed \times Time}}}$

So, let's solve by using this formula.

⇛ s = v × t

⇛ 60 km = 40 km/hr × t

⇛ t = 60 km / 40 km/hr

⇛ t = 3/2 hr.

⇛ t = 90 mins or 1 1/2 hours

So, time the car will take to travel 60 km:

$\large{ \boxed{ \bf{ \purple{t = 1 \dfrac{1}{2} hr}}}}$

And we are done !!

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7 0

2 years ago

ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours. Bart's bikes rents bikes for $30 per day. R

lyudmila [28]

Bart company charges a lower rate. It is lower by rate $ 0.5 per hour

<h3>Solution:</h3>

Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours

Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours

To find: company that charges lower rate

Let us find the hourly rate of Ace and Bart

$\text {hourly rate }=\frac{\text { Rental price }}{\text { total time in a day }}$

Hourly rate of Ace company:

Rental price = $28

total time in a day 8 hours

$\text {hourly rate }=\frac{28}{8}=3.5$

So the hourly rate of Ace company is $ 3.5 per hour

Hourly rate of Bart company:

Rental price = $ 30

total time in a day 10 hours

$\text {hourly rate }=\frac{30}{10}=3$

So the hourly rate of Bart company is $ 3 per hour

Comparing hourly rate of both companies

Ace company is $ 3.5 per hour

Bart company is $ 3 per hour

Bart company < Ace company

3 < 3.5

Thus bart company charges a lower rate

<h3>How much lower?</h3>

hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5

So, it is lower by rate $0.5 per hour

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