Answer:
Step-by-step explanation:
I believe you have to make the -x to a positive by dividing because there is still an invisible one there, like:
-x/-1 < -6/-1
x > 6 . and switch the sign since you're dividing by a negative : )
Answer: 6
Step-by-step explanation:
X = oranges / y = apples
x - 2 = 2y and 0.5x - 0.5y = 4
x - 2 = 2y
+2 +2
x = 2y + 2
0.5x - 0.5y = 4
2(0.5x - 0.5y = 4)
x - y = 8
Substitute
(x) - y = 8
(2y + 2) - y = 8
3y + 2 = 8
- 2 -2
3y = 6
y = 2
Substitute again
x = 2y + 2
x = 2(2) + 2
x = 4 + 2
x = 6
Hope this helps!
Answer: 27 times bigger.
Step-by-step explanation:
You need to use the following formula to find the volume of a Square pyramid:
Where "s" is the edge of a side of the square base and "h" is the height of the pyramid.
Knowing that:
You can find the volume of the Pyramid A and the volume of the Pyramid B:
Finally divide the volume of the Pyramid B and the volume of the Pyramid A, in order to find how many times bigger than the Pyramid A is the Pyramid B.
You get:
a) {1,5,6,7,8}
b) {5}
c) {1,2,4}
d) {} = empty set
Step-by-step explanation:
- It is based on set theory.
- To find "a" first simplify within brackets.
- A' = everything apart from A which is {5,6,7,8} even universal.
- B'= everything apart from B which is {1,2,7,8}
- C'= everything apart from C which is {1,4,5,8}
- The notation "n" is intersection anything that is common in both.
- The notation "U" is "Union" everything within both.
- Rule if Union has more than one common it would still be mentioned.
- As one won't be written as twice.
- (B'nC') apart from B and apart from C the common in both is {1,8}
- A' U {1,8} apart from A union all in (B'nC')= {1,5,6,7,8}
- (BnC') same all of B intersection everything apart from C.
- A'n(BnC') = {5}
- (B'UC') = everything apart from B and C common in A n(B'UC') ={1,2,4}
- (AUBUC)' union all ABC but a complement gives 8.
- (AUBUC) union all ABC but not universal number{1,2,3,4,5,6,7}
- Intersection between them gives empty set as both are not common.