Answer:
$5.25
Step-by-step explanation:
Take $150.00 times 3.5% to get $5.25
150(.035) = 5.25
We know that
<span>The hall family garden is ------------> 3/4 of an acre
</span><span>if they divide their garden into 1/8 acre sections
so
(3/4)/(1/8)-------> (3/4)*(8)--------> 8*3/4------> 24/4-----> 6 sections
the answer is
6 sections</span>
Like all problems that involve images within the question, we should definitely try to draw this out. In the picture above, I have done this.
Now, we can see that this is just a simple proportion problem. For every 2.5 cm of height of the flower, we are 2 cm from the opening, or aperture. For every 20 cm of height, how far are we? We can set up the problem like this:
20 ............2.5
-------- = ---------
...x ............. 2
where x is the unknown distance to the aperture from the flower. Now, we just need to get x by itself. A typical way of solving something like this is by doing "butterfly multiplication" which is really just a shortcut haha. Anyway, I can rewrite that equation ^ as:
20×2 = 2.5 × x
Then, to solve for x, we would divide both sides by 2.5. (If you don't know why that is, please let me know and I'll elaborate).
We would then have:
20×2
------- = x
2.5
Which then simplifies to:
x = 16
Try using the same logic for your second question, and if you get stuck, I'd be happy to help! please let me know if any of this doesn't make sense. :)
_ * 5 > 5
3/3 is equal to 1 which would make them equal to each other.
2/3 is less than one which means it would make the number on the left less than 5, not greater than.
the answer is 5/3 because it is bigger than the other answer choices and will result in a greater number than that on the right.
Y = 1
Using y = mx + c.
Compare to y = 1, y = 0x + 1 ,
We can see that the slope m = 0 and the vertical intercept, c = 1.
For the line perpendicular to y = 1
Condition for perpendicularity m₁m₂ = -1
m₁ = 0, m₂ = ?
0*m₂ = -1
m₂ = -1/0 = Negative Infinite or Infinite
Slope of line perpendicular to y = 1, is = Infinite.