earth takes 365 days to orbit the Sun mars takes 687 days write and solve an equation to find how many more days d mars takes than earth to orbit the Sun

Answers

Answer 1
Answer:

Hi there!

Here are the important information we know:

Earth : 365 days

Mars : 687 days


In order to find out how many more days (d) Mars takes than Earth to orbit the sun, you'll need to subtract 365 from 687, so your equation would look like this:

687 - 365 = d


Now to solve this equation :

687 - 365 = d

322 = d


This means that Mars takes 322 days more than Earth to orbit the sun.


There you go! I really hope this helped, if there's anything just let me know! :)


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Julio plans a diet to gain 0.2 kg a day. After 14 days he weighs 40 kg. Write an equation in slope intercept form to model the situation and define your variables.

Answers

Answer:

y=0.2x+37.2

Step-by-step explanation:

Julio plans to gain 0.2 kg a day, so the rate of increase of weight is 0.2 kg per day.

The slope intercept form of an equation can be written as,

y=mx+c

In our case, 'y' is the total weight, 'x' is the number of days, 'm' is the slope and 'c' is the initial weight.

It is found out that after 14 days he weighs 40 kg. So over 14 days Julio must have gained,

14 * 0.2 = 2.8 kg because he is gaining 0.2 kg per day after the diet plan. So initially (14 days ago) Julio weighed,

40-2.8 = 37.2 kg

Now, we know the slope that is rate of change and that is 0.2 kg per day. We can form the equation as,

y = 0.2x+37.2

As we have already defined that 'y' is the final weight, 'x' is the number of days and 'c' (37.2) is the initial weight of Julio.

So the required equation is, y = 0.2x+37.2.

Final answer:

The equation in slope-intercept form that models Julio's situation is y = 0.2x + 37.2, with x representing the number of days and y representing Julio's weight in kg.

Explanation:

To write an equation in slope-intercept form that models Julio's situation, we can define the variables as follows:

Let x represent the number of days and y represent Julio's weight in kg.

Given that Julio plans to gain 0.2 kg a day and after 14 days he weighs 40 kg, the equation would be:

y = 0.2x + b

To find the y-intercept (b), we substitute the given values:

40 = 0.2(14) + b

Solving for b, we get:

b = 40 - 2.8
b = 37.2

Therefore, the equation in slope-intercept form that models Julio's situation is:

y = 0.2x + 37.2

Learn more about Equation in slope-intercept form here:

brainly.com/question/21298390

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A number squared added to 16

Answers

Answer:

Sry i dont understand what ur trying to say but if ur asking what number squared will give u 16 its 4

Step-by-step explanation:

Answer:

im pretty sure the answer is 4 but i don't rlly understand the question

Step-by-step explanation:

Can someone simplify this please!! (3.1)⋅(10.75−3.55)

Answers

Answer:

Simplification of the expression (3.1)⋅(10.75−3.55) is:

22.32

               

Step-by-step explanation:

We have to simplify:

(3.1)⋅(10.75−3.55)

(3.1)⋅(10.75−3.55)=(3.1)·(7.2)

                          =22.32

Hence, on simplifying the expression (3.1)⋅(10.75−3.55) , we get:

22.32

                     

(3.1)*(10.75-3.55)=
(3.1)*(7.20)
=22.32 :)

Is 8/9 greater than 5/10

Answers

yes 8/9 is greater than 5/10
8/9 = .888888888
5/10 = .5
.888888888 is greater than .5 so 8/9 is greater than 5/10.

The answer is yes.

What is 38/4 as a mixed number

Answers

the answer is 9 1/2
38/4 = 9/2 divided by 2 = 9 1/2

the vertex of the parabola represented by f(x)=x^2-2x+6 has coordinates (1,5). Find the coordinates of the vertex of the parabola defined by g(x)=f(x+3). Explain how you arrived at your answer

Answers

Plug \ in \ x+3 \ into \ f(x) \ to \ get \ g(x) \n\ g(x) = (x+3)^2-2(x+3)+6 \n\ g(x)= x^2+6x+9 -2x-6+6 \n\ g(x) = x^2+4x+9 \n\ -(b)/(2a) --\ \textgreater \ vertex \n\ \frac {-4}{2} \n\ x \ coordinate = -2, plug \ it \ back \ into \ g(x) \n\ (-2)^2+4(-2)+9 \n\ 4-8 + 9 \n\ y \ coordinate = 5 \n\ \boxed{(-2,5)}