Given the the total number of paintings and prints that an artist has which is 240, and the ratio is 3 of paintings is to 5 prints, here is the answer as to what the ratio is of the remaining paintings to prints. Given that the total number is 240 with the ratio of 3 : 5, this would mean that there are a total of 90 paintings and 150 prints. Since 15 paintings and 100 prints are sold, this would leave us 75 paintings and 50 prints. The new ratio would be 3 : 2. Hope this answer helps.
Answer:
<u>Part A</u>
- Reflect over the y-axis: (x, y) → (-x, y)
A (-4, 4) → (4, 4)
B (-2, 2) → (2, 2)
C (-2, -1) → (2, -1)
D (-4, 1) → (4, 1)
- Shift 4 units down: (x, y-4)
(4, 4-4) → A' (4, 0)
(2, 2-4) → B' (2, -2)
(2, -1-4) → C' (2, -5)
(4, 1-4) → D' (4, -3)
<u>Part B</u>
Two figures are <u>congruent</u> if they have the same shape and size. (They are allowed to be rotated, reflected and translated, but not resized).
Therefore, ABCD and A'B'C'D' are congruent. They are the same shape and size as they have only be reflected and translated.
Answer:
1) B/ 0.4n = 12; n = 30
2) B/ 125 – x = 58
3) B/ $1.75
Step-by-step explanation:
1) 0.4n = 12
n = 12 ÷ 0.4
n = 30
2) 125 – x = 58
– x = 58 – 125
– x = – 67 ( – & – will get cancelled)
x = 67
a) 125 + x = 58
x = 58 – 125
x = – 67 (pages won't be in negative)
c) 125 ÷ 58 = x
2.15 = x (wrong)
d) 58 – x = 125
– x = 125 – 58
– x = 67
x = 67 ÷ –1
x = – 67 ( pages won't be in negative)
3) 12x = 21
x = 21 ÷ 12
x = 1.75
It would be $22,500 if you use a simple Math equation
15%*150,000 divided by 100
Answer:
quadrant 1 - (2,4)
quadrant 2 - (-3,4)
quadrant 3 - (-1, -5)
quadrant 4 - (6, -1)
Step-by-step explanation:
quadrant one consists of both x and y being positive.
quadrant two being the x is negative but the y is negative.
quadrant 3 has its x and y both negative.
finally, quadrant 4 has its x positive, but y is negative.
