Answer:
x=2
Step-by-step explanation:
Original width = 6
New width 6+x+x
Orignal length 12
New length 12+x+x
A = l*w
160 = ( 6+2x) ( 12+2x)
Factor
160 = 2( 3+x) 2(6+x)
Divide each side by 4
40 = (3+x) (6+x)
FOIL
40 = 18+ 6x+3x+ x^2
40 = 18 +9x+x^2
Subtract 40 from each side
0 = x^2 +9x -22
Factor
0 = (x +11) (x-2)
Using the zero product property
x +11 =0 x-2 =0
x= -11 x=2
Since we cannot have a negative sidewalk
x =2
Answer:
0.80
Step-by-step explanation:
For independent events:
P(A and B) = P(A) P(B)
0.52 = 0.65 P(B)
P(B) = 0.80
He has 85 video games.he has 3 shelves to put the games on.each self can hold 40 video games
Answer:
x = £200
(y = £400)
Step-by-step explanation:
Convert interest rates into decimal format:
3% = 3/100 = 0.03
4% = 4/100 = 0.04
From information given, create 2 equations:
0.03x + 0.04y = 22
0.04x + 0.03y = 20
Rearrange equation 1 to make y the subject:
⇒ 0.03x + 0.04y = 22
⇒ 0.04y = 22 - 0.03x
⇒ y = 550 - 0.75x
Substitute y = 550 - 0.75x into equation 2 and solve for x:
⇒ 0.04x + 0.03(550 - 0.75x) = 20
⇒ 0.04x + 16.5 - 0.0225x = 20
⇒ 0.0175x = 3.5
⇒ x = 200
To find y, substitute found value of x into one of the equations and solve for y:
⇒ 0.04(200) + 0.03y = 20
⇒ 8 + 0.03y = 20
⇒ 0.03y = 12
⇒ y = 400
Answer: 2.44 inches
Step-by-step explanation:
Since the scale on a map of Virginia shows that 1 inch = 45 miles while the actual distance from Richmond, Va, to Washington, D.C., is 110 miles.
The number of inches that are between the two cities will be represented by x. Therefore,
1/x = 45/110
Cross multiply
45x = 110
x = 110/45
x = 2.44 inches
The Distance between the two cities on the map is 2.44 inches