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Answer:
Part A:
x + y = 80
x + 20 = y
Part B:
Pam spends 30 minutes practicing math every day.
Part C:
It is not possible for Pam to have spent 60 minutes practicing dance because this means she must have practiced math for 40 minutes (60 - 20 = 40). This would total out to 100 minutes of total practice, not 80 minutes. Therefore, this is impossible.
Step-by-step explanation:
Part A:
"She spends 80 minutes every day practicing dance and math."
x + y = 80
"She dances for 20 minutes longer than she works on math."
x + 20 = y
Part B:
Solve for x:
x + 20 = y
Isolate variable x:
x = y - 20
Plug in this new value for the first equation:
y - 20 + y = 80
Combine like terms:
2y - 20 = 80
Isolate variable y:
2y = 100
y = 50
Plug in the new value of y into any equation:
x + 50 = 80
Isolate variable x:
x = 30
Part C:
x + 20 = y
x + 20 = 60
x = 40
x + y = 80
40 + 60 = 80
100 = 80
Impossible.
Answer:
puting the boys side by side and the girls side by side???
Step-by-step explanation:
Answer:
(5, 0 )
Step-by-step explanation:
Given the 2 equations
y = x² - 2x - 15 → (1)
y = 8x - 40 → (2)
Substitute y = x² - 2x - 15 into (2)
x² - 2x - 15 = 8x - 40 ( subtract 8x - 40 from both sides )
x² - 10x + 25 = 0 ← in standard form
(x - 5)² = 0 ← in factored form, thus
x - 5 = 0 ⇒ x = 5
Substitute x = 5 into (2) for corresponding value of y
y = 8(5) - 40 = 40 - 40 = 0
Solution is (5, 0 )
