Answer: -116
Step-by-step explanation: Since negative numbers are involved, the best way to solve this is add 95 and POSITIVE 21. This gives you 116. Since you move from a positive to a negative, the 116 needs to be negative
It would be the second answer.
A <span>counterclockwise rotation of 270º about the origin is equivalent to a </span><span>clockwise rotation of 90º about the origin.
Given a point (4, 5), the x-value, i.e. 4 and the y-value, i.e. 5 are positive, hence the point is in the 1st quadrant of the xy-plane.
A clockwise rotation of </span><span>90º about the origin of a point in the first quadrant of the xy-plane will have its image in the fourth quadrant of the xy-plane. Thus the x-value of the image remains positive but the y-value of the image changes to negative.
Also the x-value and the y-value of the original figure is interchanged.
For example, given a point (a, b) in the first quadrant of the xy-plane, </span><span>a counterclockwise rotation of 270º about the origin which is equivalent to a <span>clockwise rotation of 90º about the origin will result in an image with the coordinate of (b, -a)</span>
Therefore, a </span><span>counterclockwise rotation of 270º about the origin </span><span>of the point (4, 5) will result in an image with the coordinate of (5, -4)</span> (option C)
Answer:
3.5p ≤ 40
Step-by-step explanation:
The inequality that best describes this problem is 3.5p ≤ 40;
Given parameters:
Total amount with me = $40
Cost per package of hot dog = $3.5
Unknown;
The inequality that represents the problem = ?
Solution:
p is the number of hotdogs that can be bought.
So, total hotdog that can be bought if each hotdog cost $3.5 per box is;
p x 3.5
Now,
this will equal the total amount at hand;
p x 3.5 ≤ 40
3.5p ≤ 40
180
Step-by-step explanation:
9:40
?:800
9×20=180
40×20=800
it is a ratio. 9 oranges to 40 people. 40 times 20 is 800 so you do the same to 9 (which gives you 180)
