Answer:
3.8m
Step-by-step explanation:
Since Lara is putting lace trim around the border of a circular tablecloth, by the time she finishes she has covered the circumference.
The circumference of a circle is calculated using:

where d is the diameter of the circle.
It was given that the diameter of the circular table cloth is 1.2 meters.


Therefore the length of the lace she needed is 3.8m 
 
        
             
        
        
        
5x+y=-3 is the standard form
        
             
        
        
        
3,000 is 10 times as much as
3000 = 10 times of what number
We need to find 10 times what number gives us 3000
Let the unknown number be x
3000 = 10 times x
3000 = 10x
To solve for x, we divide by 10 on both sides

300 = x
So, the unknown number is 300
3000 = 10 times 300
3000 is 10 times as much as 300
 
        
                    
             
        
        
        
Answer:
6
Step-by-step explanation:
2 times the difference of a number and 1 = 4 plus that number
In other to express the word problem Mathematically ; let the number = x
2(x - 1) = 4 + x
Expand
2x - 2 = 4 + x
Collect like terms 
2x - x = 4 + 2
x = 6
Hence, the number is 6
 
        
             
        
        
        
The area of a pyramid is the sum of area of the base and the area of slant triangles. 
The area of the base is 1.5 × 1.5 = 2.25 cm²
The slant height of each triangle, s is 3 cm
The area of the triangles = 1/2 × 1.5 × 3 × 4
                                        = 9 cm²
Therefore, the area of the pyramid
 =9 +2.25 
= 11.25 cm²