Answer:
see below
Step-by-step explanation:
1. 10/16=5/6
2.14/63=2/9
3.6/14= 3/7
4.6/24= 1/3
5.7/70=1/10
6.5/10=1/2
7. 9/27= 1/3
8.6/72=1/12
9.6/27=1/3
10. 14/35= 2/5
11.12/24= 1/2
12.5/40=1/8
13.36/40=9/10
14.28/35=4/5
4(x - 2) + 6 = 2(5x - 6) <em>use distributive property</em>
(4)(x) + (4)(-2) + 6 = (2)(5x) + (2)(-6)
4x - 8 + 6 = 10x - 12
4x - 2 = 10x - 12 <em>add 2 to both sides</em>
4x = 10x - 10 <em>subtract 10 from both sides</em>
-6x = -10 <em>divide both sides by (-6)</em>
x = 10/6
<h3>x = 5/3</h3>
Answer:
8 groups.
Step-by-step explanation:
We are told that Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in his garden. We are asked to find out largest number of groups he can make.
To solve this problem we will find GCF of 24 and 8.
Factors of 24 are: 1,2,3,4,6,8,12 and 24.
Factors of 8 are 1,2,4 and 8.
We can see that greatest common factor of 24 and 8 is 8.
Therefore, Luis can make 8 groups each having 3 purple plants and 1 pink plant.
Answer:
V = πr³ + 2πr²
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
with radius r and height h = 2 + r:
V = πr²(2 + r) = πr³ + 2πr²
Answer:
use Pythagoras theorem to find hypotenuse in right angle triangle