This situation exemplifies the distributive property, where the number outside the parentheses impacts all the terms within through multiplication. Therefore, the resulting action here is:
<span>The 4 should be multiplied by each term found inside the parentheses.
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Answer:
x = 11.33 years
Step-by-step explanation:
The equation for rainbow smelt is Y1 = −19.76x + 227
For bloater fish, the equation is Y2 = –92.57x + 1052
To find where these populations are equal:
–19.76x + 227 = –92.57x + 1052
Combine like terms:
-19.76x + 92.57x = 1052 - 227
72.81x = 825
Now divide by 72.81:
x = 825 / 72.81
Thus,
x = 11.33 years
Answer:
The value equals 1
Step-by-step explanation:
Consider the expression
Recall that
For two complementary angles A and B (where A+B=90°),
the identity is
cos(A) = sin(B)
Here, 26° and 64° are complementary angles, so
Substituting values,
From this, we find
By substitution,
Let the number of years Brad has been on the soccer team be represented by x, and let y represent the number of years Scott has been on the same team.
From the information given, we formulate the equations:
5y - 2 = x -----(1)
x + y = 10 -----(2)
Now, substituting equation (1) into equation (2):
5y - 2 + y = 10
6y - 2 = 10
6y = 12
y = 2
Next, substituting this value back to find x:
x = 5×2 - 2
x = 8
So, Brad has spent a total of 8 years in the team.
