Answer:
x = 26
Step-by-step explanation:
Given
(x - 2) = 
(x + 4) + 2
Multiply through by 15 to clear the fractions
5(x - 2) =3(x + 4) + 30 ← distribute and simplify both sides
5x - 10 = 3x + 12 + 30, that is
5x - 10 = 3x + 42 ( subtract 3x from both sides )
2x - 10 = 42 ( add 10 to both sides )
2x = 52 ( divide both sides by 2 )
x = 26
Answer:
Step-by-step explanation:
Multiply across.
Then Simplify.
Answer:
693
Step-by-step explanation:
7*9*11*3=693
Answer:
1. Dave worked for 34 hours.
2. Perimeter of the rectangle is 172 cm.
Step-by-step explanation:
1. Determination of the hours Dave worked.
Let D represent Dave.
Let M represent Mike.
Let J represent John.
Tota time worked by Dave, Mike and John is 56 hours. This can be written as:
D + M + J = 56 ..... (1)
Dave worked 6 more than 4 times as many hours as Mike. This can written as:
D = 6 + 4M .....(2)
John worked 6 less than 3 times as many hours as Mike. This can be written as:
J = 3M – 6 ........ (3)
Substituting the value of F and J into equation 1, we have:
D + M + J = 56
D = 6 + 4M
J = 3M – 6
6 + 4M + M + 3M – 6 = 56
6 – 6 + 4M + M + 3M = 56
8M = 56
Divide both side by 8
M = 56/8
M = 7
Substitute the value of M into equation (2) to obtain the value of D.
D = 6 + 4M
M = 7
D = 6 + 4(7)
D = 6 + 28
D = 34
Therefore, Dave worked for 34 hours .
2. Determination of the perimeter.
Length (L) = 64 cm
Width (W) = 22 cm
Perimeter (P) =?
P = 2(L + W)
P = 2 (64 + 22)
P = 2 (86)
P = 172 cm
Therefore, the perimeter of the rectangle is 172 cm
