1. what equation represents the following word sentence?

the quotient of a number b and 0.3 equals negative 10
i think it's b/0.3 = -10

2. which equation is equivalent to the following equation?
-3/4x + 1/8 = -3/8
a. -3/4x = -3/8 - 1/8
b. -3/4x = -3/8 + 1/8
c. x + 1/8 = -3/8 * (-4/3)
d. x + 1/8 = -3/8 * (-3/4)
i think it's b

3. a student was solving the following equation:
-96 = -6(x - 15)
-96 = -6x - 90
-96 + 90 = -6x - 90 + 90
-6 = -6x
-6/-6 = -6x/-6x
1 = x
what should they do to correct the error that they made?
a. first add 6 to both sides
b. first subtract x from both sides
c. distribute the -6 to get 6x - 90
d. distribute the -6 to get -6x + 90
i think it's c

#1 ok

#2 Nope. Try (a) since you have to subtract 1/8 from both sides.
#3 d (-6)(-15) = +90
3(c) is exactly what they did wrong. You want to correct the mistake, not repeat it.

Can someone please help?

1. You are correct. The equation b/0.3 = -10 represents the word sentence "the quotient of a number b and 0.3 equals negative 10." To get this equation, you divide the number b by 0.3.

2. You are correct. The equivalent equation to -3/4x + 1/8 = -3/8 is -3/4x = -3/8 + 1/8. To obtain this equation, you combine like terms on the right side of the equation.

3. You are incorrect. The error made by the student is in the step -96 = -6x - 90. They incorrectly added 90 to both sides instead of subtracting it from both sides to isolate the variable. To correct this error, the student should subtract 90 from both sides, resulting in -186 = -6x. The correct option to choose is b.

#1- ok

#2- is (a) because you have to subtract 1/8 from both sides
#3- (c) because you want to correct the mistake not repeat over again