Answer:
GCF(330, 75, 450, 225) = 15
Steps:
Prime factorization of the numbers:
330 = 2 × 3 × 5 × 11
75 = 3 × 5 × 5
450 = 2 × 3 × 3 × 5 × 5
225 = 3 × 3 × 5 × 5
GCF(330, 75, 450, 225)
= 3 × 5
= 15
First you need to get x on one side of the equation and to do that subtract 2a from both sides.
28 + 2a = 5a + 7
-2a -2a
28=3a+7
Then we need to get a alone by subtracting 7 on both sides.
28=3a+7
-7 -7
21=3a
Finally divide each side by 3 and you should get a = 7. Hope this helps!
Let x be the number of racing bikes, and let y be the number of mountain bikes.
1) 140x + 110y = 26150
2) 180x + 120y = 31800
Solve for one of the variables and plug that in to the other equation:
From equation 1: 140x = 26150 - 110y
x = (26150-110y)/140
Plug this into equation 2:
180((26150-110y)/140) = 31800
Solve for y, and find that y = 85 (the number of mountain bikes).
Plug that y into either equation to find x:
140x + 110(85) = 26150
x = 120 (the number of racing bikes).
So the answer is: 120 racing bikes and 85 mountain bikes.
Answer:
F. 9 feet
Step-by-step explanation:
Answer:
(52, 32 )
Step-by-step explanation:
Given the 2 equations
y = x - 20 → (1)
x + y = 84 → (2)
Substitute y = x - 20 into (2)
x + x - 20 = 84, that is
2x - 20 = 84 ( add 20 to both sides )
2x = 104 ( divide both sides by 2 )
x = 52
Substitute x = 52 into (1) for corresponding value of y
y = 52 - 20 = 32
Solution is (52, 32 )
