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ICE Princess25 [194]
3 years ago
13

In his free time, Gary spends 11 hours per week on the Internet and 11 hours per week playing video games. If Gary has five hour

s of free time per day, approximately what percent of his free time is spent on the Internet and playing video games?
63%
4%
44%
24%
Mathematics
1 answer:
8_murik_8 [283]3 years ago
7 0
5 hours of free time a day = 35 hours of free time a week


11 + 11 = 22 hours on the internet or playing video games


\frac{22}{35} x 100 = 62.8% = 63%
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Can you help with these two questions?
Lady bird [3.3K]

1) 155.91 grams would be left after 10 years

2) The population would be 376,478 in 2040

Step-by-step explanation:

The form of the exponential function is y=a(b)^{x} , where

  • a is the initial amount (y at x = 0)
  • b is the growth/decay factor
  • b = 1 + r, where r is the rate of growth
  • b = 1 - r, where r is the rate of decay

1)

Scientists are studying a 500 grams sample of a radioactive element, which has an annual decay rate of 11%

∵ The initial amount is 500 grams

∴ a = 500

∵ The annual decay rate is 11%

∴ r = 11% = 11 ÷ 100 = 0.11

∵ b = 1 - r ⇒ decay

∴ b = 1 - 0.11 = 0.89

- We need to find how many grams of the sample would be left

  after 10 years

∴ x = 10

- Substitute all of these values in the form of the exponential function

∵ y=500(0.89)^{10}

∴ y = 155.9085996

- Round it to 2 decimal places

∴ y = 155.91

155.91 grams would be left after 10 years

2)

In 2000, the population of an Ohio town was 140,212. The population is expected to grow at a rate of 2.5% each year

∵ The population of an Ohio town was 140,212

∴ a = 140.212

∵ The population is expected to grow at a rate of 2.5% each year

∴ r = 2.5% = 2.5 ÷ 100 = 0.025

∵ b = 1 + r ⇒ growth

∴ b = 1 + 0.025 = 1.025

- We need to find the population in 2040

∵ The number of years is 2040 - 2000 = 40 years

∴ x = 40

- Substitute all of these values in the form of the exponential function

∵ y=140212(1.025)^{40}

∴ y = 376478.1709

- Round it to the nearest whole number

∴ y = 376,478

The population would be 376,478 in 2040

Learn more:

You can learn more about the functions in brainly.com/question/11921476

#LearnwithBrainly

6 0
3 years ago
What is the solution? 2/3(x-7)= -2
koban [17]

Answer:

x =4

Step-by-step explanation:

2/3(x-7)= -2

Multiply each side by 3/2 to clear the fractions

3/2 * 2/3(x-7)= -2 *3/2

x-7 = -3

Add 7 to each side

x-7+7 = -3+7

x =4

3 0
3 years ago
Jamie kept track of the total hours and minutes she worked this week at the local health food store.
ddd [48]

1 hour = 60 minutes.

Convert the minutes to decimals by diving by 60

30/60 = 0.5

2 hours and 30 minutes = 2.5 hours

45/60 = 0.75

5 hours 45 minutes = 5.75 hours

15/50 = 0.25

3 hours 15 minutes = 3.25 hours

Ow add all the hours:

2.5 + 5 + 5.75 + 3.25 = 16.5 hours

Answer: B. 16.50

7 0
2 years ago
There ratio of boys to girls is 17:3 there are 740 people how many boys are there
julsineya [31]
Ratio of boys to girls= 17:3
number of people= 740

to find the number of boys out of 740 people, you have to add the ratio together and divide 740 by it. then multiply the answer by 17 because the ratio for boys is 17.

17+3=20

740÷20=37
37×17=629 

answer= 629 
 hope this helps....
 
8 0
3 years ago
Choose the point-slope form of the equation below that
PilotLPTM [1.2K]

Answer:

A) y-4=-1/2(x+6)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(0-4)/(2-(-6))

m=-4/(2+6)

m=-4/8

simplify

m=-1/2

y-y1=m(x-x1)

y-4=-1/2(x-(-6))

y-4=-1/2(x+6)

4 0
2 years ago
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