Answer: 1/3
Step-by-step explanation:
5/15 divided both by 5 is 1/3
He first travels 15 floors. He then travels 12 floors, to get to the 3rd floor. He finally travels 35 floors, for a total of 62 floors.
Largest possible number = 150 ÷ 3 = 50
Sum = 50 + 50 + 50 = 150
Product = 50 x 50 x 50 = 125000
Answer: The three numbers are 50, 50 and 50.
Answer: x=1
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x+2*(5*x-3)-(7)=0
3x + 2 • (5x - 3)) - 7 = 0
Pull out like factors :
13x - 13 = 13 • (x - 1)
13 = 0
A a non-zero constant never equals zero.
Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
Answer:
t(n) = 2n² + n - 3
Step-by-step explanation:
<u>Given sequence: </u>
Find the formula for nth term t(n)
<h3>Solution</h3>
<u>Sequence is neither arithmetic nor geometric, analyzing:</u>
<u>First level difference</u>
<u>Second level difference</u>
<u>As there are two levels, the formula should be in the form of:</u>
<u>Trying the formula with the known terms:</u>
- t(2) = 4a + 2b + c = 7 ⇒ 3a + b = 7
- t(3) = 9a + 3b + c = 18 ⇒ 3(3a+b) + c = 18 ⇒ 21 + c = 18 ⇒ c = -3
<u>Going back to previous equations to find remaining coefficients:</u>
- t(1) ⇒ a+ b = 3 ⇒ t(2) = 2a + (a+b) = 7 ⇒2a + 3 = 7 ⇒ a= 2 ⇒ b = 1
<u>So the formula becomes:</u>
t(n) = 2n² + n - 3
