1. 5 (a + 3b - 5c + 4) =
5a + 15b - 25c + 20
2. d (4 + 5 - 11) =
4d + 5d - 11d
9d - 11d
-2d
3. 9 (3p - 3) =
27p - 27
4. 6 (2k - 7 + 10)
12k - 42 + 60
12k + 18
5. 3 (8z - 11 - 2z) =
24z - 33 - 6z
18z - 33
C. 20x + 100
• 5 (4x + 20)
• 20 ( x + 5)
• 4 (5x + 25)
If my thinking is correct, and the numbers:
12
1
2
12
1
2
and
34
3
4
34
3
4
don't mean anything, then the answer would be 8 cups
Answer:
<h2>a) Average velocity = 1.25 m/s to the right</h2><h2>b) Average speed = 3.75 m/s</h2>
Step-by-step explanation:
A woodchuck runs 20 m to the right in 5 s, then turns and runs 10 m to the left in 3 s.
Total displacement = 20 - 10 = 10 m to the right
Total time = 5+3 = 8 s
Total distance = 20 + 10 = 30 m
a) We have
Total displacement = Average velocity x Time
10 = Average velocity x 8
Average velocity = 1.25 m/s to the right
b)We have
Total distance = Average speed x Time
30 = Average speed x 8
Average speed = 3.75 m/s
Answer:
11,200
Step-by-step explanation:
Given that the lcm of a and b is 40 then a and b are factors of 40. All the multiples of 40 as sets are 1 and 40, 2 and 20, 4 and 10, 5 and 8. Of all these, only 5 and 8 would give a lcm of 40.
Let a = 5 and b = 8 as such,
7 a^2 = 7 * 5^2 = 175
7b^2 = 7 * 8^2 = 448
Then the lcm of 7 a^2 and 7b^2
= 11,200
Answer:
The volume of the cylinder is 367.6 M^3
Step-by-step explanation:
Mathematically, we have the volume of a cylinder calculated as follows;
V = pi * r^2 * h
r is the base radius given as 3 m
h is the height given as 13 m
So, we have the volume as;
V = 22/7 * 3^2 * 13 = 367.6 M^3
