R = rides
S = sodas
6R + 3S = $21.75 —> -12R - 6S = -43.5
10R + 6S = $39.50–>10R + 6S = 39.5
Multiplying Justin’s whole equation by -2 will bring out the 6S’, so we can focus on the cost of one ride.
-2R = -4
Divide both sides by -2
So for one ride, it would cost $2.
To find the cost for one soda, we plug in the cost for a ride.
6(2) + 3S = $21.75
12 + 3S = $21.75
3S = $9.75
So for one soda, it would cost $3.25.
Answer:
x = - 3 ± 
Step-by-step explanation:
Given
4x² + 24x = 4 ( divide through by 4 )
x² + 6x = 1
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 1 + 9
(x + 3)² = 10 ( take the square root of both sides )
x + 3 = ± ( subtract 3 from both sides )
x = - 3 ±
Answer:
7 ( b + 4 ) = 9
Step-by-step explanation:
Let the number be = b
It is given that the :
The number is added to 4.
And the value is equal to 9 when it is 7 times the sum of the number, b and 4.
Thus according to the question, the sentence can be translated in equation form as :
7 ( b + 4 ) = 9
Thus in other word, we can say that the addition of (b + 4) when it is multiplied for 7 times, we get the result as 9.
Answer:
42
Step-by-step explanation:
