Answer:
Step-by-step explanation:
<u>Function Modeling</u>
The problem gives us the following conditions: The bottom of Ignacio's desktop is 74.5 cm from the floor, and the top of his legs is 49.3 cm from the floor. We know the chair where he's sitting at has a knob that raises the legs 4.8 cm per clockwise rotation r. This means that the total distance the legs are raised for r rotations is 
. The total distance of his legs from the floor is then:
This distance cannot reach or exceed 74.5 cm, thus
Solving for r
Or, equivalently
Answer: g is a geometric sequence.
Step-by-step explanation:
Each year since then, her account accumulated interest amounting to
15% of the balance in the previous year.
15% = 15/100 = 0.15
Since the balance is increasing each year, then the constant factor by which it is increasing is 1 + 0.15 = 1.15.
This factor of 1.15 is a common ratio. This means that the sequence is a geometric sequence since it is increasing by a common ratio.
The team won 4 gold medals, 4 silver medals and 10 bronze medals.
Step-by-step explanation:
Given,
Total medals won = 18
Ratio of gold, silver and bronze = 2:2:5
Let,
x be the original number.
Therefore,
Gold medals = 2x
Silver medals = 2x
Bronze medals = 5x
According to given statement;
Dividing both sides by 9
Gold medals = 2x = 2(2) = 4
Silver medals = 2x = 2(2) = 4
Bronze medals = 5x = 5(2) = 10
The team won 4 gold medals, 4 silver medals and 10 bronze medals.
Keywords: ratio, division
Learn more about division at:
#LearnwithBrainly
Answer:
No they are not equivalent
Answer:
t = 3/2
Step-by-step explanation:
Instead of randomly guessing values of "t" that will satisfy the equation, you can easily find the correct value by solving the equation in terms of "t". In other words, you can set the equation equal to "t" to find the final answer.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)t = -1 <----- Add 2 to both sides
t = 3/2 <----- Divide both sides by -2/3
You can check this value by plugging it into "t" and determining whether both sides of the equations will be equal.
(-2/3)t - 2 = -3 <----- Original equation
(-2/3)(3/2) - 2 = -3 <----- Plug 3/2 into "t"
-6/6 - 2 = -3 <----- Multiply -2/3 and 3/2
-1 - 2 = -3 <----- Simplify -6/6
-3 = -3 <----- Subtract
