Lets see, If "n" represents the number, then "the successor of a certain number" is n+1. Now if "Twice the number" is 2n now for the expression "The successor of a certain number when added to twice the number" would then be 2n+n+1, which the problem stated is equal to 61 Therefore we can say that the correct option would be 2n+n+1=61
Answer:
(0, 4)
x = 0
y = 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
12x - 5y = -20
y = x + 4
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 12x - 5(x + 4) = -20
- Distribute -5: 12x - 5x - 20 = -20
- Combine like terms: 7x - 20 = -20
- Isolate <em>x</em> term: 7x = 0
- Isolate <em>x</em>: x = 0
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define original equation: y = x + 4
- Substitute in <em>x</em>: y = 0 + 4
- Add: y = 4
Answer:
The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.
Step-by-step explanation:
Use combinations to solve this problem.
Combination is defined as the selection of <em>r</em> elements from <em>n</em> distinct objects irrespective of the order. The objects cannot be replaced.
There are 9 Lego kits available.
And the total number of children is 6.
That is, we need to select 6 Lego kits from the 9 available Lego kits.
6 Lego kits can be selected from the 9 available Lego kits in ways.
Solving the combination as follows:
Thus, there are 84 ways to select 6 Lego kits from 9 available Lego kits.
Answer:
(3, -2)
Step-by-step explanation:
In order to find the focus of a parabola, you must know that the equation of a parabola in a vertex form is y=a(x−h)2+k where a represents the slope of the equation. From the formula, we can see that the coordinates for the focus of the parabola is (h, k+1/4a).
Answer:
C.
Step-by-step explanation:
Though the story is also about A, B, and D, the overall story is about C. The story begins with the enchanter turning the eldest and second eldest brothers into an Eagle and Whale, though the youngest escapes. He then goes to the castle to free the cursed princess, and to do so he needs to find a crystal ball. If I remember correctly, the ball will also save the brothers.