<h3>
Answer: addition property of inequality</h3>
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Explanation:
These are the steps to focus on
step 3: -6x - 8 < -2
step 4: -6x < 6
The move from the third step to the fourth step has us adding 8 to both sides. Therefore, we use the addition property of inequality.
That property has four forms
- If
then 
- If
then 
- If
then 
- If
then 
It's similar to the idea of starting with a = b, then adding c to both sides to get a+c = b+c
We add the same thing to both sides to keep things balanced.
Answer:
2 cups of flour
2/3 cup of sugar
1 1/3 cups of chocolate chips
Step-by-step explanation:
3 dozen chocolate chip cookies
3 cups of flour
1 cup of sugar
2 cups of chocolate chips
The recipe is for 3 dozen cookies as stated above.
If you make 2 dozen cookies, then you are making 2/3 of the recipe since 2 is 2/3 of 3.
That means you need 2/3 of all the ingredients.
2/3 × 3 dozen chocolate chip cookies
2/3 × 3 cups of flour
2/3 × 1 cup of sugar
2/3 × 2 cups of chocolate chips
We simplify the amounts to:
2 dozen chocolate chip cookies
2 cups of flour
2/3 cup of sugar
1 1/3 cups of chocolate chips
Answer:
The volume of the glass is 217.8 cm³
Step-by-step explanation:
If the glass were initially 4/7 full, that means 3/7 of the volume is still available to hold more juice.
Let v represent the volume of the glass.
Then (3/7)v + 70 cm³ = (3/4)v.
We need to solve this for v.
Here the LCD is 28. Thus,
(3/7)v + 70 cm³ = (3/4)v → (12/28)v + 70 cm³ = (21/28)v.
Subtracting (12/28)v from both sides, we get:
70 cm³ = (9/28)v.
We can isolate v by mult. both sides by the inverse of 9/28, which is 28/9:
(28/9)(70 cm³) = v
The volume of the glass is 217.8 cm³
