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tia_tia [17]
2 years ago
11

Haden drove 525 miles and used 25 gallons of gas. How many miles did Haden's car travel per gallon of gas? *

Mathematics
1 answer:
ahrayia [7]2 years ago
5 0

Answer:

21 miles per gallon of gas

Step-by-step explanation:

Solving the above question:

25 gallons of gas = 525 miles

1 gallon of gas = x miles

Cross Multiply

25 gallons × x miles = 525 miles × 1 gallons

x miles = 525 miles/25 gallons

x = 21 miles

Therefore, the miles that Haden's car travelled per gallon of gas is 21 miles per gallon of gas

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3 years ago
The sum of a number and 4.7 is 8.1.
Sloan [31]

<em>Greetings from Brasil...</em>

Be that unknown number X

Then we can write the following expression:

X + 4.7 = 8.1

<h2>X = 3.4</h2>

5 0
3 years ago
Find the interval in which f(x)=sinx−cosx is increasing or decreasing?
alisha [4.7K]

Answer:

There is no short answer.

Step-by-step explanation:

To find to intervals which f(x) increases or decreases, we first need to find it's derivative.

f(x) = sinx - cosx\\f'(x) = cosx - (-sinx) = cosx + sinx

The function is increasing when it's value is  > 0 and decreasing when it's value is < 0.

If we take a look at this graph, cosx+sinx is positive when they are both positive or when cosx is greater then sinx on the negative part.

I hope this answer helps.

3 0
3 years ago
What is the square root of 95.54
vladimir2022 [97]
Well this is simple a calculator type problem...but if you are curious as the the algorithm used by simple calculators and such...

They use a Newtonian approximation until it surpasses the precision level of the calculator or computer program..

A newtonian approximation is an interative process that gets closer and closer to the actual answer to any mathematical problem...it is of the form:

x-(f(x)/(df/dx))

In a square root problem you wish to know:

x=√n  where x is the root and n is the number

x^2=n

x^2-n=0

So f(x)=x^2-n and df/dx=2x so using the definition of the newton approximation you have:

x-((x^2-n)/(2x)) which simplifies further to:

(2x^2-x^2+n)/(2x)

(x^2+n)/(2x), where you can choose any starting value of x that you desire (though convergence to an exact (if possible) solution will be swifter the closer xi is to the actual value x)

In this case the number, n=95.54, so a decent starting value for x would be 10.

Using this initial x in (x^2+95.54)/(2x) will result in the following iterative sequence of x.

10, 9.777, 9.774457, 9.7744565, 9.7744565066299210578124802523397

The calculator result for my calc is: 9.7744565066299210578124802523381

So you see how accurate the newton method is in just a few iterations. :P


5 0
3 years ago
Is 614 divisible by both 2 and 6?
harkovskaia [24]

Answer:

No

Step-by-step explanation:

It is not divisible by 6, for if you divide by 6, you will get a non natural number,

It is obviously divisible by 2.

So, No.

7 0
3 years ago
Read 2 more answers
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