Un atleta recorre 6 km por hora al cabo de 4 horas qué distancia ha recorrido

Mathematics

1 answer:

elena-14-01-66 [18.8K]3 years ago

6 0

6x4

4x6

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Simplify the expression -1/2(-5/6 + 1/3)

alexira [117]

Answer: 1/4

Step-by-step explanation:

-

5 0

3 years ago

Pls solve will mark brainiest, five stars and will give a thanks

Goryan [66]

Answer:

8 times

Step-by-step explanation:

3/4 n = 6

Multiply each side by 4/3 to isolate n

4/3 * 3/4 n = 6*4/3

n = 8

8 0

3 years ago

Read 2 more answers

18. Determine the common difference, the fifth term, and the sum of the first 100 terms of the following sequence:

Ksenya-84 [330]

$a_1=1,\ a_2=2.5,\ a_3=4,\ a_4=5.5,\ ...\\\\a_2-a_1=2.5-1=1.5\\a_3-a_2=4-2.5=1.5\\a_4-a_3=5.5-4=1.5\\a_{n+1}-a_n=1.5=constans\\\\\text{It's an arithmetic sequence with}\\a_1=1,\ \boxed{d=1.5}\\\\a_n=a_1+(n-1)d\to a_n=1+(n-1)(1.5)=1+1.5n-1.5\\\\a_n=1.5n-0.5\\\\a_5=1.5(5)-0.5=7.5-0.5=7\\\boxed{a_5=7}\\\\\text{The formula of a Sum of the First n Terms of an Arithmetric Sequence:}\\\\S_n=\dfrac{2a_1+(n-1)d}{2}\cdot n\\\\\text{We have:}\\a_1=1,\ d=1.5,\ n=100\\\\\text{Substitute}$

$S_{100}=\dfrac{(2)(1)+(100-1)(1.5)}{2}\cdot100=\dfrac{2+(99)(1.5)}{1}\cdot50\\\\=(2+148.5)\cdot50=150.5\cdot50=7,525\\\\\boxed{S_{100}=7,525}\\\\Answer:\\the\ common\ difference:\ d=1.5\\the\ fifth\ term:\ a_5=7\\the\ sum\ of\ first\ 100\ terms:\ S_{100}=7,525$