Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Coordinate Planes
- Coordinates (x, y)
- Slope Formula:
Step-by-step explanation:
*Note:
Rate of change is slope.
<u />
<u>Step 1: Define</u>
<em>Identify.</em>
Point (-1, -1)
Point (1, -1)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>.
- Substitute in points [Slope Formula]:
- [Order of Operations] Simplify:
- Simplify:
Answer:
Step-by-step explanation:
Given that According to a video streaming service, 48% of American couples are "cheaters", that is—they promise each other to watch a filmtogether, but one of them first watches it alone.
Here if this is binomial with two outcomes we can easily say that the other 52% couples go together movies.
But here there are not only two outcomes.
The other possibilities are:
i) Either both do not go to movies
ii) Both cheat and go to movies separately
Thus since there are not exactly two outcomes, we cannot say the other 52% go to movies together.
As much as say that 52% of couples are not cheating in this way.
Answer:
x = -1
Step-by-step explanation:
Step 1: Write equation
-4(-5x + 2) - 3x - 5 = -30
Step 2: Solve for <em>x</em>
<u>Distribute -4:</u> 20x - 8 - 3x - 5 = -30
<u>Combine like terms:</u> 17x - 13 = -30
<u>Add 13 on both sides:</u> 17x = -17
<u>Divide both sides by 17:</u> x = -1
Answer:
If she wants to run 16 more miles in four days (30 miles minus already done 14 miles) she can run 4 miles a day for the next four days. 4 miles a day.
Step-by-step explanation:
Answer:
Step-by-step explanation:
26% is (26-20)/(50-20) = 6/30 = 1/5 of the way between 20% and 50%. That means 1/5 of the solution is 50% acid.
50% acid: 1/5 · 100 mL = 20 mL
20% acid: 100 mL -20 mL = 80 mL
Delbert must mix 80 mL of 20% acid and 20 mL of 50% acid.
_____
Maybe you'd like to see an equation. Let x represent the amount of 50% acid required. Then 100-x is the amount of 20% acid needed. The amount of acid in the mix is ...
0.50(x) +0.20(100 -x) = 0.26(100)
(0.50 -0.20)x = (0.26 -0.20)100 . . . . subtract 0.20(100)
x = (0.26 -0.20)/(0.50 -0.20)×100 = 20
This last expression should look a lot like the one we started with in this answer. It shows you how you can almost write down the answer to mixture problems without a lot of work.
