8 - 4:15 pm = 8 hours and 15 minutes , minus the hour break = 7 hours and 15 minutes . she earnt $64.38 for 7.25 hours work so 64.38 / 7.25 = 8.88 . she gets paid $8.88 an hour
Answer: Hotdog cost $0.75
Price of soda = $0.55
Step-by-step explanation:
Let the price of hot dogs be x.
Let the price of sodas be y.
6x + 4y = 6.70 ...... i
4x + 3y = 4.65 ....... ii
Multiply equation i by 4
Multiply equation ii by 6
24x + 16y = 26.80 ........ iii
24x + 18y = 27.90 ......... iv
Subtract iii from iv
2y = 1.10
y = 1.10/2
y = $0.55
Price of soda = $0.55
From equation i,
6x + 4y = 6.70
6x + 4(0.55) = 6.70
6x + 2.20 = 6.70
6x = 6.70 - 2.20
6x = 4.50
x = 4.50/6
x = $0.75
Hotdog cost $0.75
Answer:
= x(x+1)(x-1)
Step-by-step explanation:
Given the expression x³ - x
On factorizing
x³ - x
= x(x²-1)
Using difference of two square
a² - b² = (a+b) (a-b)
x² - 1
= x² - 1²
= (x+1)(x-1)
The complete factor
x³ - x
= x(x²-1)
= x(x+1)(x-1)
The equations y=55x+50 and y=65x represents Rick's and Betty's trip.
Step-by-step explanation:
Given,
Head start of Rick = 50 miles
Speed of Rick = 55 mph
Let,
x be the number of hours
y be the total miles
Distance covered by Rick in x hours = Speed * Time + Head start
y = 55x + 50
Speed of Betty = 65 mph
Total miles = Speed*Time
y=65x
The equations y=55x+50 and y=65x represents Rick's and Betty's trip.
Keywords: variable, addition
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