Answer:
Step-by-step explanation:
The trick is not to include anything under and including 150 miles. So A B and C are not to be checked.
D and E are both true.
Simplify both sides if needed. The left-hand side needs simplification.
4(x - 6)
-2x + 6
4x - 24
-2x + 6
All is left to do is add and subtract to get the x variable all alone.
4x - 24
-2x + 6
6x - 24
6 <-- Add 2x to both sides
6x
30 <-- Add 24 to both sides
x
5 <-- Divide both sides by 6
In order to be in the solution set, x has to be less than or equal to 5.
In interval notation: [5, -∞)
Answer:
I think 478.4 ._.
Step-by-step explanation:
First, find out how many gallons of gasoline she can buy with $18.50 by dividing 18.50 by 1.25 to get 14.8 gallons. Then, since he already has 6 gallons in his tank, add 6 to 14.8 = 20.8. Finally multiply this by the ratio of gallons to miles (23) to get 478.4
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
30% off $ 45
<span>30% of $ 45 = (.3) (45) = $ 13.50 </span>
<span>30% off $ 45 = $ 45.00 - $ 13.50 = $ 31.50
hope this helped:)
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