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2 years ago

15

The cost y (in dollars ) to spend an evening bowling is proportional to the number of games x that are bowled. it costs $16 to b

owl 4 games.

1 answer:

Liono4ka [1.6K]2 years ago

6 0

Answer:

if the question is write an equation to find the total cost of a night of bowling then the answer is

y=16x

y=16(4)

y=64$

Step-by-step explanation:

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nlexa [21]

Answer:

x = 3

Step-by-step explanation:

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∠ QRT is an external angle, thus

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45x = 26x + 57 ( subtract 26x from both sides )

19x = 57 ( divide both sides by 19 )

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Answer:

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Step-by-step explanation:

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2 years ago

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

Ksenya-84 [330]

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

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

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2 years ago

penguins spent almost 75% of their lives in the sea .An emperor penguin in the wild has a lifespan about 18 years . About how ma

11Alexandr11 [23.1K]

First of all, in Mathematics, OF usually represents multiplication. And % means over 100. Anyway, the question basically means 75/100 multiplied by the lifespan. According to the question, the lifespan is 18 years. So that will be;
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So your answer is 13.5 years. Hope i helped. Have a nice day.

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2 years ago