Answer:
The commutative property of multiplication states that changing the order of the numbers we are multiplying, does not change the product.
Answer:
B
Step-by-step explanation:
3x - 3 > 42
3x - 3 42
+3 + 3
3x > 45
3x / 3 45/3
x > 15
x can be 16
There are 45 oranges and 90 apples in the beginning.
Step-by-step explanation:
Let the no. of orange be 'b'
Let the no. of apples be 'a'
Given that,
2b = a
3(b-15) = a
3b - 45 = a
3b - 45 = 2b
3b - 2b = 45
b = 45
2b = a
2(45) = a
a = 90
There are 45 oranges and 90 apples in the beginning.
Answer:
(-4;2)
Step-by-step explanation:
1. if y=1/2 x+4, then 2y=x+8; it is possible to re-write as x-2y+8=0;
2. if x+4y=4, it is possible to re-write it as x+4y-4=0;
3. if x-2y+8=0 and x+4y-4=0, then x-2y+8=x+4y-4; ⇒ -2y+8=4y-4; ⇒ 6y=12; ⇔ y=2.
4. if y=2, then it is possible to substitute its value into any equation given in the condition:
x+4y=4 (substitution y=2); ⇒ x+8=4; ⇒ x= -4.
5. finally x= -4; y=2. It means (-4;2)
PS. the suggested solution is not the only way to resolve this task.
Answer:
16 people (1/8) attended the morning session only
Step-by-step explanation:
If everyone attended something, the 1/8 of the people who didn't attend an afternoon session must have attended only the morning session.
1/8 of the 128 people = 16 people attended only the morning session