20x3 = 60 (total amount of hours he worked)
900/60 = $15 per hour
Answer:
Well, if Jenny starts out with 43 apples but then gives 12 to John that would leave Jenny with 31 apples.
Step-by-step explanation:
43 - 12 = 31
(40 - 10) + (3 - 2)
40 - 10 = 30
3 - 2 = 1
30 + 1 = 31
Here is your answer, have a nice day!
Answer:
<h3>
The percentage is <u>
60%</u>
of the total amount paid with the gift card. </h3>
Step-by-step explanation:
Given:
Total worth of clothing is $178.25 and the amount paid with cash is $71.30.
Let us find the part of amount paid with the gift card:
Amount of gift card(G) = Total worth(T) - Amount paid in cash(C).
.
So, the amount paid with the gift card is $106.95.
Now, according to question:
%.
Therefore, the percentage is <u>60%</u> of the total amount paid with the gift card.
Answer:
Below in bold.
Step-by-step explanation:
10x² + 3x -2 = -1
10x^2 + 3x - 1 = 0 Taking 10 out from the first 2 terms:-
10(x^2 + 0.3) - 1 = 0 Completing the square:
10[(x + 0.15)^2 - 0.15^2] - 1 = 0
10[(x + 0.15)^2 - 0.0225] - 1 = 0
10(x + 0.15)^2 - 0.225 - 1 = 0
10(x + 0.15)^2 - 1.225 = 0 is vertex form.
The vertex (turning point is at (-0.15, -1.225).
y- intercept is at the point where x = 0,
- that is at y = 10(0.15)^2 - 1.225 = -1
So at (0, -1).
Solving for x:
10(x + 0.15)^2 - 1.225 = 0
(x + 0.15)^2 = 0.1225
x + 0.15 = +/- sqrt 0.1225
x = -0.15 +/- sqrt 0.1225
The roots are -0.5, 0.2
Draw the two points in a rectangular coordinate system.
Draw a vector from the origin (0,0) until the point Y whose coordinates are (-1,3). Rotate the vector 90 degress anticlockwise.
You can see that the tip of the vector will fall in a point with coordinates (3,-1).
Then Y' is (3,-1).
Follow same procedure with point X(-6,2). The point of the vector will translate to X' with coordinates (-2,-6).
A 90 degrees anticlockwise rotation transforms coordinates (a,b) to (-b,a)
Then the answer is the option 3 - X'(-2,-6) Y'( 3,-1).
By convention if there is not indication the angles must be taken anticlockwise, but it would be better to indicate it.
If you rotate 90 degress clockwise the end points would be X'(2,6) Y'(3,-1).