Hello there!
"Compare the fraction 3/5 to 1/2 and then compare 2/6 to 1/2. Use symbols in your answer"
To make this easier, we will make it so that both fractions in each pair has like bases.
To make 3/5 and 1/2 have a like base, we must make the denominators 10. To do this, we will do the following:
(3*2)/(5*2) = 6/10
(1*5)/(2*5) = 5/10
Now we can easily compare and not worry about the denominator
So, let's just look at the numerators.
Which is greater, 5 or 6? We know 6 is greater, so:
6/10 > 5/10
That means:
3/5 > 1/2
Now, we must do the same for 2/6 and 1/2
We will make them both 6. So, we can leave 2/6 alone
2/6
(1*3)/(2*3) = 3/6
Now we have 2/6 and 3/6
Which is greater, 3 or 2. The answer to that is 2. So:
3/6 > 2/6
This means that 1/2 > 2/6
Our answers are:
1. 3/6 > 2/6
2. 1/2 > 2/6
I hope I was able to help you!
~ Fire
Answer:
Inequality = 6 + x ≤ 10
x(Number of hours more of television Sarah can still watch this week) = 4 hours
Step-by-step explanation:
Define a variable, set up an inequality and solve that inequality to determine how many more hours of television Sarah can watch this week.
We are told in the question that:
Sarah is allowed to watch no more than 10 hours of television each week.
This means :
Sarah can watch tv for less than or equal to 10 hours in a week. Sarah has already watched 6 hours of television.
Hence:
The number of hours left that Sarah can watch television in a week is represented as x
Our Inequality Equation =
6hours + x hours ≤ 10 hours
6 + x ≤ 10
Solving the inequality
x ≤ 10 - 6
x ≤ 4 hours
This means Sarah still has no more than (less than or equal to) 4 hours or television left to watch in this week
Answer:
(-6,-4)
Step-by-step explanation:
The first endpoint of the line is (-6,8), we can call
x_1 = -6
and
y_1 = 8
Let the last endpoint have coordinates (x_2,y_2)
Also, the midpoint formula is:
(x_1+x_2)/2 , (y_1+y_2)/2
Now, plugging these values is the formula, we get:
(-6+x_2)/2 = -6
-6+x_2=-12
x_2=-12+6 = -6
x_2 = -6
Also
(8+y_2)/2=2
8+y_2=4
y_2=4-8=-4
y_2 = -4
The coordinates of the other endpoint is (-6,-4)
Answer:
x = 7, x = -10
Step-by-step explanation:
Use the quadratic formula.
Solve.
x = 7, x = -10
You can also factor if you want - that is a faster method.
You can use times the value by 1.05 to find the answer directly
