Answer:
x=9
Step-by-step explanation:
23=7/9(6x-36)+9
Distribute 7/9.
23=14/3x-28+9
Add.
23=14/3x-19
Add 19 to both sides of the equation.
42=14/3x
Divide 14/3 from both sides of the equation.
X=9
Hope this helps :)
5/8 ------------------------- 7/5 miles
1/8 ------------------------- 7/5÷5 = 7/25 miles
8/8 ------------------------- 7/25 x 8 = 56/25 = 2.24 miles
Answer:
The expression representing the width is 3+2L
The width is 9ft
Step-by-step explanation:
Area of a rectangle = Length×width
A = L × W...(1)
Let the length be represented as L
Since the width of the rectangle is 3feet longer than two times its length, this is expressed as:
First, width is twice as long as the length i.e W = 2L
If the resulting width is now 3 feet longer, the final width of the rectangle will be expressed as:
W = 3+2L...(2)
Area (A) = 27ft
Substituting equation 2 into 1, we have;
A = L(3+2L)
A = 3L+2L²
27 = 3L+2L²
2L²+3L-27 = 0
Factorizing the resulting equation
(2L²+9L)-(6L-27) = 0
L(2L+9)-3(2L+9) = 0
L-3 = 0 and 2L+9 = 0
L = 3 and L = -9/2
Disregarding the negative value and substituting L = 3 into equation 2 to get the width
W = 3+2(3)
W = 3+6
W = 9ft
Answer:
(a) Arts take longer
(b) By 2/9 hours
Step-by-step explanation:
Given
Arts = four over nine hours
Maths = two over nine hours
Solving (a): Which takes longer?
First, represent both as fraction


Convert fraction to decimal




By comparison:

Hence, Arts take longer
Solving (b): How much longer?
To do this, we calculate the difference.


Take L.C.M


Answer:
This is the equation
Step-by-step explanation: