Answer:
1). Option (3)
2). Option (D)
Step-by-step explanation:
1). Integers are the numbers which are whole numbers with negative or positive notations.
Integers can't be a fraction or a number with decimal.
Out of the numbers given,
-18 and 4 will be the integers
Option (3) is the correct answer.
2). Shaded portion of the diagram represents the rational numbers excluding integers,
By the definition of the rational numbers, any number which can be written as a fraction is a rational number.
Rational numbers → All numbers given are the rational numbers
Integers → 
Therefore, only one number 
will lie in the shaded region.
Option (D) will be the answer.
Answer:
4.45 m/s
Step-by-step explanation:
Vertical distance, Sy = 5m
The speed of pebble when they hit her window :
Vx = Sx / t
We can obtain t using the relation :
Sy = 1/2 * at²
Where, a = acceleration due to gravity = 9.8m/s²
We can obtain t
5 = 1/2 * 9.8 * t²
5 = 4.9t²
t = √5/4.9
t = 1.01 seconds
Hence,
Speed, Vx = Sx / t
Vx = 4.5 / 1.01
Vx = 4.45 m/s
Answer:
What Wally did wrong is that it is supposed to be (4a-5)(a-4)
In order to get -21 a. He was supposed to use negative 5 and 4 to get to negative 21
If he used (4a+5)(a+5)
The answer will be positive 21 and that's not what the problem is asking
Step-by-step explanation:
Hope this helps :)
Answer:
10 sandwiches
Step-by-step explanation:
I included the work below in the photo. Hope this helps! :)
Answer:
Step-by-step explanation:
24
The LCM of 6 and 8 is 24. To find the least common multiple (LCM) of 6 and 8, we need to find the multiples of 6 and 8 (multiples of 6 = 6, 12, 18, 24; multiples of 8 = 8, 16, 24, 32) and choose the smallest multiple that is exactly divisible by 6 and 8, i.e., 24.
