Answer:
a = 3/5
Step-by-step explanation:
-3(a - 6) = -(4a - 6) - 3a
=> -3a + 18 = -4a + 24 - 3a
=> 3a + 18 = -7a + 24
=> 10a = 6
=> a = 3/5
Hoped this helped.
Answer:
see explanation
Step-by-step explanation:
Consider the reflection in the y- axis
A point (x, y ) → (- x, y )
Consider the reflection of point A
A(- 5, 2 ) → A'(5, 2 )
Now A → E after the transformations
E = (4, 3 ), thus
A'(5, 2 ) → E(4, 3 )
(x, y ) → (x + (- 1), y + 1 ) = (x - 1, y + 1 )
Answer:
45 miles. 3*12 +3/4 *12 =x=>36+9=x=>x= 45.
Manuel needs 20 liters of the 8% and 5 liters of 20% mixtures to be mixed so as to get 30 liters of a mixture of water and 10% lemon juice.
Let x represent the amount of 8% lemon juice in liters and y represent the amount of 20% lemon juice in liters.
Since Manuel wants to produce a 30 liters mixture from 8% lemon juice and 20% lemon juice, hence:
x + y = 30 (1)
Also, Manuel wants 30 liters of a mixture of water and 10% lemon juice, hence:
8% of x + 20% of y = 10% of 30 liters
0.08x + 0.2y = 3 (2)
Solving equation 1 and 2 simultaneously; multiply equation 1 by 0.2 and subtract equation 2 from the result:
0.12x = 3
x = 25 liters
x + y = 30
25 + y = 30
y = 5 liters
Manuel needs 20 liters of the 8% and 5 liters of 20% mixture
Find out more at: brainly.com/question/15024774
Answer:50000
Step-by-step explanation: