A)2y - 1/2 = -1/3
2y=-1/3+1/2
FIND THE LCM TO MAKE THE FRACTIONS LIKE FRACTIONS
LCM OF 3 AND 2 IS 6
-1/3*2=-2/6
1/2*3=3/6
-2/6+3/6=1/6
2y=1/6
y=1/6 ÷ 2
TAKING THE RECIPROCAL,
RECIPROCAL OF 2 IS 1/2
y=1/6*1/2
y=1/12
B) 6 + 5 (a - 1) = 30
6+(5)*(a)+(5)*(−1)=30(Distribute)
6+5a+−5=30
(5a)+(6+−5)=30(Combine Like Terms)
5a+1=30
5a=30-1
5a=29
a=29/5
15.sum of three consecutive integers=48
let the numbers be x ,x+1,x+2
x+x+1+x+2==48
3x+3=48
3x=48-3
3x=45
x=45/3
x=15
x+1=15+1=16
x+2=15+2=17
the numbers are 15,16,17
The numbers to complete the pattern are 125, 216, 343.
The complete pattern is 1, 8, 27, 64, 125, 216, 343.
Hope this helps.
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the y-axis
a point (x, y ) → (- x, y )
Hence
A'(-5, - 3 ) → A''(5, - 3 )
B'(4, 4 ) → B''(- 4, 4 )
C'(4, 2 ) → C''(- 4, 2 )
D'(- 2, - 1 ) → D''(2, - 1 )
Answer:
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Step-by-step explanation:
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Answer:
A student makes money by watching the neighbors' dog. The situation is modeled in the graph below. Money Made 130 120 110 100 90 80 Fee (dollars) 70 60 50 40 30 20 10 0 1 2 3 7 8 9 4 5 6 Time (days) 10 Select the statement that describes the relationship between the amount of money the student makes and time in days. The student charges $11 plus an additional $20 per day, The student charges $20 plus an additional $11 per day. The student charges $20 plus an additional $10 per day.
Step-by-step explanation: