Expand and distribute
−5(−3−11g)
To expand and distribute -5(-3-11g), we can apply the distributive property.
First, let's distribute -5 to -3 on the inside of the parentheses:
-5 * -3 = 15
Next, let's distribute -5 to 11g on the inside of the parentheses:
-5 * 11g = -55g
Therefore, -5(-3-11g) expands and distributes to 15 + 55g.
wrong
Apologies for the mistake. Let's try again:
To expand and distribute -5(-3-11g), we can apply the distributive property.
First, let's distribute -5 to -3:
-5 * -3 = 15
Next, let's distribute -5 to -11g:
-5 * -11g = 55g
Therefore, -5(-3-11g) expands and distributes to 15 + 55g.
is it backwards
You're right. I apologize for the confusion. The correct expansion and distribution of -5(-3-11g) is:
-5(-3-11g) = -5 * -3 + (-5 * -11g) = 15 + 55g
Simplify by combining like terms.
2/8x + 3/10y − 5/8x + 4/10y
To simplify by combining like terms, we group the similar terms together:
(2/8x - 5/8x) + (3/10y + 4/10y)
To combine the x terms, we need a common denominator of 8. So let's multiply the fractions accordingly:
((2 * 1)/(8 * 1) - (5 * 1)/(8 * 1)) + (3/10y + 4/10y)
(2/8x - 5/8x) becomes (2 - 5)/(8) = -3/8x
The y terms already have a common denominator of 10:
(3/10y + 4/10y) = (3 + 4)/(10) = 7/10y
Therefore, after combining like terms, 2/8x + 3/10y - 5/8x + 4/10y simplifies to:
-3/8x + 7/10y
Evaluate when a = 9, b = 6.
a−b/3
To evaluate a - b/3 when a = 9 and b = 6, we substitute these values into the expression:
a - b/3 = 9 - 6/3
First, divide 6 by 3:
6/3 = 2
Now substitute the values:
9 - 2 = 7
Therefore, when a = 9 and b = 6, the expression a - b/3 evaluates to 7.