Answer:
[A] -3(2x-2.5)
Step-by-step explanation:
<em>Given:</em>
<em>Which expression is equivalent to -6x + 7.5?</em>
<em>Solution:
Going through all answer choices:</em>
<em>[A] -3(2x-2.5)</em>
<em>Simplify</em>
<em>-6x + 7.5</em>
<em />
<em>[B] -3(2x + 2.5)</em>
<em>Simplify</em>
<em>-6x - 7.5</em>
<em />
<em>[C] -3(2x-7.5)</em>
<em>Simplify</em>
<em>-6x+22.5</em>
<em />
<em>[D] -3(2x + 7.5)</em>
<em>Simplify</em>
<em>-6x - 22.5</em>
<em />
<em>Hence, the answer is [A] -3(2x-2.5)</em>
<em />
<em />
<u><em>Kavinsky</em></u>
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<em />
Answer: 1 cup of sugar
Step-by-step explanation:
A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used.
Converting 1 1/2 cups of sugar to improper fraction becomes 3/2 cups of sugar.
If 3 cups of bananas is required for 3/2 cups of sugar,
x cups of bananas will require 1 cup of sugar
3x / 2 = 3
3x = 6
x = 6/3 = 2
Therefore,
2 cups of bananas will require 1 cup of sugar.
We are looking for the number of cups of sugar that would require 2 cups of bananas.
We already got the answer.
1 cup of sugar would be used if 2 cups of bananas are used.
Answer:
Simplifying
logx + -4 = 0
Reorder the terms:
-4 + glox = 0
Solving
-4 + glox = 0
Solving for variable 'g'.
Move all terms containing g to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + glox = 0 + 4
Combine like terms: -4 + 4 = 0
0 + glox = 0 + 4
glox = 0 + 4
Combine like terms: 0 + 4 = 4
glox = 4
Divide each side by 'lox'.
g = 4l-1o-1x-1
Simplifying
g = 4l-1o-1x-1
Our current equation is:
-8r -31 = -3(5r -6)
To solve for this, we need to get r on one side of the equation and then simplify if needed.
On the right side of the equation, we have a pending Distributive Property, which is when you multiply the number/variable outside of the parenthesis by all numbers/variables in the parenthesis.
Let's simplify this Distributive Property to help understand our equation better.
-3(5r -6)
Multiply -3 by each number/variable separately (unless they are already being multiplied, like 2x, 1/2x, etc).
-3(5r) + -3(-6).
-3(5r) = -15r
-3(-6) = 18 (both negatives need to be in parenthesis to keep a product as negative, and if you do not multiply them in that way, you will end up with a positive product).
Your equation now is:
-8r -31 = -15r + 18
Add 15r to both sides to get r on one side.
7r -31 = 18 is now our current equation.
Add 31 to both sides to get 7r by itself.
7r = 49 is now our equation.
r is still being multiplied by 7, so we need to do the opposite of multiplying by 7.
Divide both sides by 7.
r = 7.
I hope this helps!
