Answer:
x = 6, y = -6
Step-by-step explanation:
solve for x and y
x + 3y = -12
y + 3 = -x + 3
add
(x + 3y) + -x + 3 = -12 + y + 3
3y + 3 = y - 9
2y + 3 = -9
2y = -12
y = - 6
x + 3(-6) = -12
x - 18 = -12
x = 6
B) < because the more negative or the farther away from zero a number is the smaller it is
c) = because if you subtract a negative number you are basically adding
d) = because anytime you multiply a negative by positive your answer will always be negative
a) -11 because -8+3=-5 and -5-6=-11
b) 11 because when you multiply a negative number by another negative your answer will always be positive so -3x-2=6 and 6+5=11
c) -4 because a negative number divided by a positive is always negative
d)42 because a negative number subtracted by a positive number makes a number more negative (btw always solve things in parenthesis first) so -4-3=-7 and again a negative multiplied by another negative is always positive so -7x-6=42
In case A, as the error would be a difference of 1, the assumption could be mantained, but in case B the difference will be bigger, showing that the ratio is not 3:1 but 4:1.
<h3><u>Ratios</u></h3>
Given that a preliminary study was carried out to test the hypothesis that the ratio of white to dark herons on the island was 3:1, but A) a small census found 16 white morphs and 4 dark, to determine if the assumption of a 3 :1 ratio could be rejected, and B) to determine the same question if the census were larger with 160 white morphs and 40 dark, the following calculations must be made:
A)
- 3 + 1 = 4
- 16 + 4 = 20
- 4 = 20
- 3 = X
- 60 / 4 = X
- 15 = X
- Therefore, as the error would be a difference of 1, the assumption could be mantained.
B)
- 3 + 1 = 4
- 160 + 40 = 200
- 150 = 3:1
- In this case, the difference will be bigger, showing that the ratio is not 3:1 but 4:1.
Learn more about ratios in brainly.com/question/1504221
Answer:
The shape has a total area of 14.96cm²
Step-by-step explanation:
To solve this all you need to do is take the area of the outer rectangle, and subtract the area of the inner rectangle.
The outer rectangle is 5.6 by 6.4 cm. To get its area, just multiply those dimensions. When you do so you get the area 35.84cm².
Next the inner rectangle needs to be subtracted. First though, we need its width, which we're not directly given.
We do however know the width of the entire shape, and the width of segments left after cutting out the inner rectangle. All we need to do then is subtract the later from the former to the the inner rectangle's width:
5.6cm - 1.2cm - 0.8cm = 3.6cm
Great! The inner rectangle has an area of 3.6cm × 5.8cm. That gives us 20.88cm².
The final step is to subtract that 20.88 square cm from the 35.84 that we already have. Doing so gives us a result of 14.96cm², and that is the final answer.
When the number is positive, its opposite is less than the number.
9 ==> -9 . . . . . . less
72 ==> -72 . . . . less
324 ==> -324 . . less
When the number is negative, its opposite is greater than the number.
-8 ==> 8 . . . . . . greater
-3/4 ==> 3/4 . . . greater
-429 ==> 429 . . greater .
We've seen that the opposite can be less, and it can also be greater.
I guess that means that it's sometimes greater.
