Answer:
Step-by-step explanation:
- Subtract 18.45 from each side: 3x = 1831.55
- Divide each side by 3 to cancel out the 3 next to x. It should now look like this:
I hope this helps!
To identify the slope of the equation given, it would be helpful to write it in the slope-intercept form. It is expressed as y = mx + b where m is the slope. We write it as follows:
<span>27y=3x-54
y = 3x/27 - 54/27
y = x/9 - 2
Therefore, the slope is 1/9. Hope this answers the question. Have a nice day.</span>
Answer:
A is (10,0)
B is (3, 3).
Step-by-step explanation:
First we calculate the coordinates of the point A.
Here, y = 0 so we have:
7(0) - 3x + 30 = 0
-3x + 30 = 0
x = -30/-3 = 10.
So A has coordinates (10,0).
Next we find the coordinates of the points where the line passes through the y axis. Here x = 0:
7x - 3(0) = 30
x = 30/7.
So the point is (0, 30/7).
Let the point B have coordinates (x1, y1)
Now x1 = y1 (given).
If we draw a line from B perpendicular to the x axis ( its length will be = y1) then we have 2 similar triangles.
So as corresponding sides are in the same ratio:
y1/ (30/7) = (10-x1) / 10
But as x1 = y1:
x1/ (30/7) = (10-x1) / 10
7 x1 / 30 = (10-x1) / 10
70 x1 = 30(10 - x1)
70x1 = 300 - 30 x1
100 x1 = 300
x1 = 3
So the coordinates of B are (3,3)
Checking the solution to the equation:
LHS = 3 / 30/7 = 3*7 / 30 = 21/30 = 7/10.
RHS = (10 -3 ) / 10 = 7/10.
Yes, a fraction with a numerator that is prime can still be simplified.
The definition of a prime number is that it's only two factors are 1 and itself.
If the numerator is prime, it can still be reduced or simplified because it can be divided by itself to get 1.
For example, the number 7 is a prime number. It's only two factors are 7 and 1.
The fraction 7/14 is a fraction where numerator is prime.
<u> 7</u> = <u>1</u> because <u>7 ÷ 7 = 1</u>
14 2 14 ÷ 7 = 2
4 divided by 3/5
pretend that 4 has a denominator which is 1
4/1 divided by 3/5
when dividing always flip over the second fraction
4/1*5/3
multiply the numerators together
4*5=20
multiply the denominators together
1*3=3
answer:
20/3 or 6 2/3
