10t+50=100
-50 -50
10t=50
10t/10=50/10
t=5
Answer:
like real numbers, the arithmetic operations, such as addition, subtraction, multiplication and division are applicable to the rational numbers
Answer:
16x-18
Step-by-step explanation:
Distribute 4x then combine
Answer:
n = 59
Step-by-step explanation:
Since the difference between consecutive terms is constant, then the sequence is arithmetic.
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
Given
= 40, then
a₁ + 9d = 40 → (1)
Given
= 20, then
a₁ + 19d = 20 → (2)
Subtract (1) from (2) term by term
10d = - 20 ( divide both sides by 10 )
d = - 2
Substitute d = - 2 in (1)
a₁ - 18 = 40 ( add 18 to both sides )
a₁ = 58
The sum to n terms of an arithmetic sequence is
= 
[2a₁ + (n - 1)d ]
Here a₁ = 58, d = - 2 and = 0, thus
[ ( 2 × 58) - 2(n - 1)] = 0
( 116 - 2n + 2) = 0
Multiply through by 2
n(118 - 2n) = 0
Equate each factor to zero and solve for n
n = 0
118 - 2n = 0 ⇒ - 2n = - 118 ⇒ n = 59
However, n > 0 ⇒ n = 59
Answer: The correct answer is option A; 78
Step-by-step explanation: The equation representing the line of best fit which is given as
y = 0.9x - 1
depicts the relationship between a player's practice results and actual game results. Whatever value is given as x which is the result from practice would be a good way of predicting a player's result when engaged in the real game.
For the question above, a player with a practice shooting percentage of 88 would have his game shooting estimated by simply inserting the value of his practice percentage into the equation showing the line of best fit shown as follows;
y = 0.9x - 1
Where x = 88
y = 0.9 (88) - 1
y = 79.2 - 1
y = 78.2
y ≈ 78
Therefore the approximate shooting percentage for a player with a practice shooting percentage of 88 would be 78 percent.
