9514 1404 393
Answer:
(d) b/a
Step-by-step explanation:
The applicable rule of exponents is ...
(a^b)/(a^c) = a^(b-c)
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Then the expression simplifies to ...
b^-2/(ab^-3) = b^(-2-(-3))/a = b^1/a = b/a
Answer:
5/4 cups, or 1&1/4 cups
Step-by-step explanation:
You eat 1/4 cups of cereal, and your brother eats 5 times as much. You eat 1 fourth of 1 cup, and he eats 5 times 1 fourth of 1 cup. 1 times 5 is 5, which means he eats 5 fourths of 1 cup of cereal. Since he eats 5 fourths of 1 cup, and four fourths make a 1, he eats 1 cup of cereal, plus another fourth of a cup. Your brother eats 1 and 1 fourth cups of cereal.
1 / 4 x 5 = ( 1 x 5 ) / 4
5 / 4 = ( 4 / 4 ) + ( 1 / 4 )
1 + ( 1 / 4 ) or 1 & ( 1 / 4 )
Answer:
B. 38°
Step-by-step explanation:
The angles of a triangle add up to 180.
So, 62 + 80 + b will add up to 180.
First, we add 62 =80, which gives us 142.
The we subtract 142 from 180, which gives us 38.
The answer to the question
Answer:
(x, y) = (3, 26)
Step-by-step explanation:
I like to solve systems of equations like this by graphing. A graphing calculator easily shows the solution for both x and y.
(x, y) = (3, 26)
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As an alternative, here, the equations can be subtracted.
y = f(x)
y = g(x)
0 = f(x) - g(x) . . . . subtract the second equation from the first
0 = 11x -7 -(3x +17)
0 = 8x -24 . . . . simplify
0 = x -3 . . . . . . .divide by 8
3 = x
Now, we can substitute into either equation:
y = g(x) = 3(3) +17 = 26
The solution is (x, y) = (3, 26).
