If I won 12 games and this was 60% of the games played. how many total games were there? Show your work
Answers
Answer:
20 games
Step-by-step explanation:
- 60% is the same as
.
- Divide 12 games by 3 to get one fifth of the total games instead of three fifths of the total games. One fifth of the total games is four games.
- Now multiply the 4 games by 5 to get five fifths of the total games, or all of them.
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The area of a square is (4x2 − 12x + 9) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work
Answers
That is the answer :)
A. x= - √14/3 -4
B. x= - √10/3
c. x= √14-4/3
d. x=√10/3
e. x= - √14-4/3
f. x= √14/3-4
Answers
(3x + 4)2 = 14
(3x + 4)2 means that 2 will multiply both 3x and 4
2 * 3x = 6x 2 * 4 = 8
6x + 8 = 14
Move +8 to the other side of the equation
6x = 14 - 8 Note : Moving +8 to the other side will change the sign in front of it, that is from + to -
6x = 14 - 8
6x = 6
Divide both sides by 6 because of the 6 beside the x : 6x
6x/6 = 6/6
x = 1
Answers
1000ft > 900ft.
PART A: At a certain number of visits, both plans will cost the same. At that number, how much will both plans cost, in dollars?
PART B: Which plan is more expensive at the 10th visit?
Write the number of the plan in the box.
Answers
After 15 number of visits, both plans cost $55 and at the 10th visit, plan 2 is more expensive than plan 1.
What is Arithmetic Sequence?
Arithmetic sequence is a sequence of numbers where the numbers are arranged ion a definite order such that the difference of two consecutive numbers is a constant. This constant of difference is called common difference which is commonly denoted by the letter 'd'.
Part A :
From the table, we can clearly express both plans as Arithmetic sequence.
Plan 1 : First term, a = 27 and common difference, d = 2
Plan 2 : First term, a = 41 and common difference, d = 1
Let n be the number of visits that both plans costs the same.
27 + 2(n - 1) = 41 + (n - 1)
27 + 2n - 2 = 41 + n - 1
2n + 25 = n + 40
n = 15
Cost = 41 + (15 - 1) = $55
Part B :
We have to find the 10th term.
For plan 1 :
Cost at 10th visit = 27 + 2(10 - 1) = $45
For plan 2 :
Cost at 10th visit = 41 + (10 - 1) = $50
The plan 2 is more expensive at the 10th visit.
Hence at the 10th visit, plan 2 is more expensive.
Learn more about Arithmetic Sequence here :
#SPJ3
Step-by-step explanation:
From the looks of it, Plan A is 25 + 2x and plan B is 40 + x.
Part A:
25 + 2x = 40 + x
x = 15
plug in any: 40 + 15 = $55
Part B:
Plan A = $45
Plan B = $50
Plan B is $5 more expensive.
Answers
Answer:
-8 < r < 8
Step-by-step explanation:
Let r = real number
Greater than >
r>-8
less than <
r <8
We want a compound inequality so we combine these
-8 < r < 8
Answer:
Step-by-step explanation:
Your compound inequality will include two inequalities.
These are:
x > -8
x < 8
Put your lowest number first, ensuring that your sign is pointed in the correct direction.
Next, enter your higher number, again making sure that your sign is pointing in the correct direction.
Answers
27 times 5 is $135
P for Price/Principle amount
R for Rate
T for Time in years
I=$900×0.03×5 (3%=
=$135
Interest=$135
If they want you to find how much is left by the end of the 5th year, you do this:
Original+Interest
$900+$135
=$1035