Factor -27h + 6 using the GCF.(1 point) Responses 3(9h + 2) 3(9h + 2) 3(-9h - 2) 3(-9h - 2) 3(-9h +2) 3(-9h +2) 3(-9h - 2)
The correct factorization using the GCF is: 3(-9h + 2)
Expand and distribute. −5(−3−11g)
When distributing -5 to the expression (-3 - 11g), we get:
-5 * -3 - 5 * -11g
Which simplifies to:
15 + 55g
Simplify by combining like terms.
28x+310y−58x+410y
(1 point)
Responses
418xy
4 over 18 x y
−38x+710y
negative 3 eighths x plus 7 tenths y
710x+78y
7 tenths x plus 7 eighths y
1418xy
To simplify by combining like terms, we can add the coefficients of the same variables.
28x + 310y - 58x + 410y
Combining the x terms: 28x - 58x = -30x
Combining the y terms: 310y + 410y = 720y
Putting it together: -30x + 720y
So the simplified expression is -30x + 720y.
Simplify by combining like terms.
2/8x+3/10y−5/8x+4/10y
(1 point)
Responses
4 over 18 x y
negative 3 eighths x plus 7 tenths y
7 tenths x plus 7 eighths y
To simplify by combining like terms, we can add the coefficients of the same variables.
(2/8)x + (3/10)y - (5/8)x + (4/10)y
First, let's simplify the fractions:
(1/4)x + (3/10)y - (5/8)x + (2/5)y
Now, let's combine the x terms:
(1/4)x - (5/8)x = (-3/8)x
Next, let's combine the y terms:
(3/10)y + (2/5)y = (7/10)y
Putting it all together:
(-3/8)x + (7/10)y
So the simplified expression is (-3/8)x + (7/10)y.
Evaluate when a = 9, b = 6. a−b/3
To evaluate the expression a-b/3 when a = 9 and b = 6, we substitute the given values into the expression:
a - b/3
= 9 - 6/3
= 9 - 2
= 7
Therefore, when a = 9 and b = 6, the value of the expression a - b/3 is 7.
You are saving for a skateboard. Your aunt gives you $45 to start and you save $3 each week. The expression 45 + 3w gives the amount of money you save after w weeks. How much will you have saved after 4 weeks?(1 point)
Responses
$576
$576
$57
$57
$33
$33
$42