Answer:
660
Step-by-step explanation:
Because the ration is 1:5, then 132 chaperones times 5 is 660 students. Please like me and rate!!
9y+7=2y+98
9y-2y=98-7
7y=91 /:7
y=13
(9y+7)°=(9·13+7)°=(117+7)°=124°
Answer:
$48.97
Step-by-step explanation:
Let p represent the marked price of the mower. Then the price with tax is ...
with tax = p + 7.3%×p = 1.073p
The amount Flicka paid is the amount tendered less the change she received, so is ...
3×$20 - 7.45 = with tax = 1.073p
To find p, we can divide by its coefficient:
(3 × $20 - 7.45)/1.073 = p ≈ $48.97
The selling price before taxes was $48.97.
_____
<em>Comment on the problem</em>
If you check the answer, you find the amount with tax is ...
$48.97 × 1.073 ≈ $52.54481 ≈ $52.54
so the change Flicka would have received would have been $7.46, not $7.45. If the price were $48.98, then the change would have been $7.44. There is no price at which the mower can be marked that will make the total with tax come to $52.55. There is no solution to this problem.
So, the best way to do this is translate it to clockwise. 90 degrees counterclockwise is equal to 270 degrees clockwise. So, basically, to rotate, you would follow the following format for each point-
(X,Y) -> (-Y,X)
Now, you do it for each of the points.
A= (-5,5), so A' would be (-5,-5)
B= (-1,5), so B' would be (-5,-1)
C= (-5,4), so C' would be (-4,-5)
D= (-1,4) so D' would be (-4,-1)
Notice, how all the points end up in the square below it. Each quadrant has a specific number. The top right is quadrant 1, the top left is quadrant 2, the bottom left is quadrant 3, and the bottom right is quadrant 4. If you are rotating 270 degrees clockwise, you move to the right, like a clock. That puts the new rectangle in quadrant 3. That is a way to check your work.
Now, just so you know for future reference, the following are also different formats for different problems--
A 90 degree Clockwise rotation about the origin will be (X,Y) -> (Y, -X) *Note, -x just stands for the opposite. Say your original x is a negative number. Then the prime (new) x will be positive.
A 180 degree Clockwise rotation about the origin would be (X,Y) -> (-X,-Y) *Note, -y also stands for the opposite.
A 270 degree clockwise rotation about the origin would be (X,Y) -> (-Y,X).
For translating---
90 degrees Clockwise = 270 degrees Counter
270 degrees Clockwise = 90 degrees Counter
Hope this helped!
A ray is basically a line that has a "fixed point" on one end (this would be represented by a shaded circle on one end) and the opposite end goes to infinity (this would be represented by an arrow). The first image below is an example of a ray.
When writing rays out you must write it like in the third image below. Note that there is a "ray" on top of the "letters". The letter that signifies the end point (In the example below this would be "A") is under the side that has NO arrow symbol, and the letter that signifies the continues end is under the side of the ray that HAS the arrow. In other words the "formula" for writing out rays is:
End point; infinite end
We must find four rays with the endpoint E. This means that the "fixed point" must be E and the other end must continue indefinitely.
In the second image below I have colored each ray with the end point E in a different color.
First we have the ray EA (I don't know how to make the ray symbol on here so just assume that above EA the arrow looks like so: --->)
Next is ray EG (again the symbol above EG is --->)
Next is the ray ED (symbol above ED is --->)
Finally EF is a ray with the end point E (symbol above EF is --->)
When looking at the answer choices the only two that even use the correct symbol is B and C.
The issue with option C is that the end point (E) doesn't come first when they wrote it out.
That makes the answer B!
Hope this helped!
~Just a girl in love with Shawn Mendes
~Just a girl in love with Shawn Mendes