ANSWER
Step 3
EXPLANATION
The given polynomial expression is:
Fatau correctly expanded the parenthesis in the first step.
Fatau also correctly grouped the like terms to obtain:
Fatau committed a mistake at the third step.
Instead of obtaining,
He mistakenly got:
Answer and Step-by-step explanation:
Since we have given that
1. m∠1 + m∠5 = 180° and m∠1 + m∠4=180° - Given
2. m∠1 + m∠5 = m∠1 + m∠4 - Substitution
3. m∠5 = m∠4 -
Subtraction property of equality
4. Ray YZ is parallel to Ray UV - If alternate interior angles equal, then line are ||
Answer:
It will cost $6 to buy enough lemons.
Step-by-step explanation:
Consider the provided information.
To make a 9-inch lemon pie requiring 1/2 cup of lemon juice.
1 cup = 16 tablespoons
1/2 cup = 8 tablespoons
That means we only need 8 tablespoons.
Each lemon yields 2 tablespoons of lemon juice.
Number of lemon required = 8 ÷ 2 = 4
That means we need only 4 lemon.
Store is selling lemons at 2 for $3 that means 4 lemons for $6.
Hence, it will cost $6 to buy enough lemons.
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To get that number in the problem, you need to translate first the word problem into mathematical expression.
We will let x as the number.
six more than the product of a number and -2 is greater than 10 can be written as (-2x) + 6 > 10
We will now solve for x to get the number.
(-2x) + 6 > 10
Add -6 to both sides of the equation
-2x + 6 - 6 > 10 - 6
-2x > 4
Divide both sides of the equation with -2
Take note that if we divide a negative number in inequality, the inequality symbol will be change from greater than to less or from less than to greater than.
-2x / -2< 4 / -2
x < -2
Therefore, the number that we are looking for is less than -2.
