First I added 2.5+4.25=6.75
Then do $54/6.75=$8
Answer=$8
Answer:
see image; 200; 400
Step-by-step explanation:
y=20x
graph
Answer:
Length = 9units
Width = 7units
Step-by-step explanation:
It is said that the length is 2units more than the width
Assume that the width is x, then the length will be 2 + x
ie
Width = x
Length = 2 + x
Area of the rectangle = 63units
Area of rectangle = l * b
l - length of the rectangle
b - width of the rectangle
A = l * b
63 = (2 + x) * x
63 = ( 2 + x) x
63 = 2x + x^2
Let's rearrange it
x^2 + 2x - 63 = 0
Let's find the factor of 63
A factor that can be multiplied to give -63 and that can be added to give +2
Let's use -7 and +9
x^2 - 7x + 9x - 63 = 0
Separate with brackets
( x^2 - 7x) + ( 9x - 63) = 0
x( x - 7) + 9(x - 7) = 0
( x + 9)(x - 7) = 0
( x + 9) = 0
( x - 7) = 0
x + 9 = 0
x = -9
x - 7 = 0
x = 7
Note: the length of a rectangle can not be negative
So therefore,
x = 7
Length = 2 + x
= 2 + 7
= 9units
Width = x
= 7units
Answer:
x = 2sqrt(2)
y = 2sqrt(6)
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1 : sqrt(3) : 2
x = 0.5 * 4 sqrt(2) = 2sqrt(2)
y = x * sqrt(3) = 2sqrt(6)
Answer:
x ≈ 2.55
Step-by-step explanation:
Since the triangles are congruent then DE ≡ AB , that is
DE = AB
76x - 7 = x + 184 ( subtract x from both sides )
75x - 7 = 184 ( add 7 to both sides )
75x = 191 ( divide both sides by 75 )
x ≈ 2.55 ( to the nearest hundredth )
