Answer:
(1,1) is a solution of the system.
Step-by-step explanation:
Let's solve the system.
y = 2x - 1
5x - 4y = 1
In the first equation, y is already separated as a function of x. So we replace in the second equation;
5x - 4(2x - 1) = 1
5x - 8x + 4 = 1
4 - 1 = 8x - 5x
x = 1
y = 2x - 1 = 2(1) - 1 = 1
(1,1) is a solution of the system.
I believe
30% is bigger than
.
To find the answer, you'd have to convert both the fraction and the percent into decimal form to see which one is truly bigger. Converting the percent is fairly easy. 30% would become 0.30 is decimal form. To find the fraction in decimal form, you'd have to divide the numerator by the denominator, which would be
4 ÷ 15, which makes :
2.6666666666666666666666667.
Now you compare easily. Which one is bigger?
2.666666666666666666666667 or
0.30?
0.30 is bigger. So 30% is bigger out of both of them.
<h3>
Answer: Aryan spent more time exercising.</h3>
=======================================================
Explanation:
Use your calculator to convert each fraction into decimal form
2/3 = 0.67 approximately
3/4 = 0.75 exact
The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".
So 0.67 < 0.75 which leads to 2/3 < 3/4.
Aryan spent more time exercising.
--------------
We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get
3/4 - 2/3
9/12 - 8/12
(9-8)/12
1/12
Aryan spent 1/12 of an hour longer exercising compared to Naitik
1/12 hour = (1/12)*60 = 60/12 = 5 minutes
He spent 5 extra minutes exercising.
----------------
Notes:
- 2/3 hours = (2/3)*60 = 40 minutes
- 3/4 hours = (3/4)*60 = 45 minutes
- 45-40 = 5 extra minutes of exercise
That would be scary lol but I guess kinda fun ❤️