Which is a solution to the system of inequalities? y≤-1/2x+3 y≥x+1

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 !!

#CarryOnLearning....

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7 0

3 years ago

Solve for h h - 3h - 8 = 14 H=?

sweet [91]

The initial step that must be taken before solving almost any problem is to understand what the problem is asking for us to do and what is provided to us to complete that goal. Looking at the problem statement, we can see that we are being requested to solve for h and we are provided an expression to do so. Let's begin solving the expression by combining like terms.

Combine like terms

$h - 3h - 8 = 14$

$(h - 3h) - 8 = 14$

$(- 2h) - 8 = 14$

Just a quick explanation on what combine like terms means, it basically just means to combine the coefficients of the numbers associated with the same variables. Like in this example we can combine h and -3h because they have have the variable h associated with them.

Add 8 to both sides

$(- 2h) - 8 = 14$

$(- 2h) - 8+ 8 = 14 + 8$

$- 2h= 22$

Divide both sides by -2

$- 2h= 22$

$\frac{- 2h}{-2}= \frac{22}{-2}$

$h= \frac{22}{-2}$

Simplify the expression

$h= - \frac{22/2}{2/2}$

$h= - \frac{11}{1}$

$h= - 11$

Therefore, after completing the steps above we were able to determine that the value of h is equal to -11.

8 0

2 years ago

Read 2 more answers

If AABC = ADFE determine the values of x and y.

natita [175]

$8y - 5 = 99 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 8y = 99 + 5 \\ \: \: \: \: \: \: \: \: \: \: 8y = 104 \\ \: \: \: \: \: \: \: \: \: \: \: \: y= \frac{104}{8} \\ \: \: \: \ \: \: \: y = 13$

$\: \: \: \: \: \: 2y + x = 38.4 \\ 2(13) + x = 38.4 \\ \: \: \: \: \: \: 26 + x = 38.4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 38.4 - 26 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 12.4$