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3 years ago

A car travels a steady speed and takes five hours to travel 310 miles. Work out the average speed of the car in miles per hour.

1 answer:

5 0

We have been given that a car travels a steady speed and takes five hours to travel 310 miles. We are asked to find out average speed of the car.

To find average speed of car we will divide total distance traveled by time taken in completing the distance.

$\text{Average speed of car}=\frac{310\text{ miles}}{5\text{ hours}}$

Upon dividing 310 by 5 we will get,

$\text{Average speed of car}=62\frac{\text{ miles}}{\text{ hours}}$

Therefore, average speed of car will 62 miles per hour.

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What is 315 written as a product of prime factors in index form? Can somebody please explain this to me in english?

dmitriy555 [2]

I'm guessing it's like this
example
18=2*3*3=(2¹)(3²)

315/5=63
63/3=21
21/3=7

factored form is 3*3*5*7=(3²)(5¹)(7¹)

4 0

3 years ago

Suppose your parents started saving for your college education when you were 5 years old. Assume they saved $300 the first year,

Aleonysh [2.5K]

Answer:

5850

Step-by-step explanation:

300+25x

3 0

2 years ago

Pratap puri rowed 10 miles down a river in 2 hours, but the return trip took him 2 and one half hours. Find the rate pratap can

N76 [4]

Answer:

Rate of Pratap in still water is 4.5 miles/hour and rate of current is 0.5 miles/hour.

Step-by-step explanation:

Pratap Puri rowed 10 miles down a river in 2 hours, but the return trip took him 2.5 hours.

We know that, $Speed = \frac{Distance}{Time}$

So, the speed of Pratap with the current will be: $(\frac{10}{2})miles/hour = 5$ miles/hour

and the speed of Pratap against the current will be: $(\frac{10}{2.5})miles/hour = 4$ miles/hour.

Suppose, the rate of Pratap in still water is $x$ and the rate of current is $y$ .

So, the equations will be........

$x+y= 5 .............................. (1)\\ \\ x-y=4 .............................. (2)$

Adding equation (1) and (2) , we will get......

$2x=9\\ \\ x=\frac{9}{2}= 4.5$

Now, plugging this $x=4.5$ into equation (1), we will get.....

$4.5+y=5\\ \\ y=5-4.5 =0.5$

Thus, Pratap can row at 4.5 miles per hour in still water and the rate of the current is 0.5 miles/hour.

6 0

3 years ago

A group is given a spinner with 8 sections labeled with 4 colors ( 3 red, 1 blue, 2 green, 2 yellow). The group is asked to find

Anna11 [10]

Answer:

Step-by-step explanation:

Simply multiply 50 by 3/8

7 0

2 years ago

What is the derivative of y with respect to x if y = 2/X4

zepelin [54]

You're correct, the answer is C.

Given any function of the form $y=x^n$ , then the derivative of y with respect to x ( $\frac{dy}{dx}$ ) is written as:
$\frac{dy}{dx}=nx^n^-^1$

In which $n$ is any constant, this is called the power rule for differentiation.

For this example we have $y= \frac{2}{x^4}$ , first lets get rid of the quotient and write the expression in the form $y=x^n$ :
$y= \frac{2}{x^4} =2x^-^4$

Now we can directly apply the rule stated at the beginning (in which $n=-4$ ):
$\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}$

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).

6 0

2 years ago