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Marrrta [24]
3 years ago
14

Gary exercises 1.75 hours on Mondays, Wednesdays, and Saturdays. How many weeks will it take Gary to exercise a total of 21 hour

s?
What equation models the problem?


How many weeks will it take Gary to exercise a total of 21 hours?
Mathematics
1 answer:
Nostrana [21]3 years ago
4 0

Answer:  The equation is 5.25x = 21  and it will take Gary 4 weeks to exercise 21 hours.

Step-by-step explanation:

So we know a week is  7 days and Gary exercise 3 days out of the 7 days.

so we will have to multiply 3 * 1.75 to find the number of hours that  she exercise in 1 week.

3 * 1.75 = 5.25  so Gary exercises  5.25 for every week  so now we could use x to represent the number of weeks Gary will take to exercise 21 hours.

5.25x = 21  where x is the number of weeks.

x= 4

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If M is the set of all square of integers that are less than 100 and N is the set of all positive even numbers that are under 30
irina [24]

Answer:

a) M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

   N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b) M ∩ N = {4 , 16 }

M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 , 26 , 28 ,

               36 , 49 , 64 , 81}

a) X = {e , i , g , h , t , y}

   W = {e , n , s , t , v , y}

b) X ∪ W = {e , i , g , h , n , s , t , v , y}

X ∩ W = {e , t , y}

Step-by-step explanation:

* Lets explain how to solve the problem

- We can find a square number by multiply the number by itself

a)

- M is the set of all square integers that are less than 100

∵ The integers from -9 to 9 has square less than 100

∴ M = {0 , 1 , 4 , 9 , 16 , 25 , 36 , 49 , 64 , 81}

- N is the set of all positive even numbers that are under 30

∵ Even number any number divisible by 2

∵ They are positive numbers

∴ They start with 2 because zero is not a positive or negative

∴ N = {2 , 4, 6 , 8 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 26 , 28}

b)

- M ∩ N means the common numbers between set M and set N

∵ The common elements of M ∩ N are square and even less

   than 30

∴ M ∩ N = {4 , 16 }

- M ∪ N means all the elements in M and N without reputation

∴ M ∪ N = {0 , 1 , 2 , 4 , 6 , 8 , 9 , 10 , 12 , 14 , 16 , 18 , 20 , 22 , 24 , 25 ,

  26 , 28 , 36 , 49 , 64 , 81}

a)

- X is the set of all letters of the word eighty

∵ The letters of word eighty are e i g h t y

∴ X = {e , i , g , h , t , y}

- W be the set of all letters of the word seventy

∵ The letters of word seventy are s e v e n t y

∵ We don't repeat any element in the set

∴ W = {e , n , s , t , v , y}

b)

- X ∪ W means all the elements in X and W without reputation

∴ X ∪ W = {e , i , g , h , n , s , t , v , y}

- X ∩ W means the common elements between set X and set W

∵ The common letters between X and W are e , t , y

∴ X ∩ W = {e , t , y}

3 0
3 years ago
Erika worked 14 hours last week and 20 hours this week. If she earns $9 per hour, how much did she earn during these two weeks
IrinaK [193]
$9 per hour for 14 hours the first week can be found by doing 9 • 14, which equals 126.
In the first week, Erika earned $126.
$9 per hour for 20 hours for the second week can be found by doing 9 • 20, which equals 180.
In the second week, Erika earned $180.
To find the total amount Erika earned in both weeks, add how much she made in week 1 to how much she made in week 2.
126 + 180 = 306
Erika made $306 during these 2 weeks.
6 0
3 years ago
Action hero mambo ('the moose with no mercy') has just finished for film for his latest movie. Due to his unique acting style he
solmaris [256]
A. £549 376 / 4 = £137344 per word
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7 0
3 years ago
you rent a canoe for 5$ per hour.Your cost before the tax is added is 12.50. write and solve an equation to find the total numbe
Basile [38]

Answer: The equation is   5x = 12.50   and  you will have the canoe for 2 and half hours or 2 hours 30 minutes.

Step-by-step explanation:

You rent the canoe for 5 dollars per hour and that can be represented by the expression  5x.  After sometime you paid $12.50 meaning that to find the number of hours that you need the canoe, we need to set 5x to equal 12.50.

5x  = 12.50    Solve for x  by divide both sides by 5.

x = 2.5

This means you will need the canoe for 2 and half hours.

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2 years ago
Which triangles can have two sides of the same lenghth
grin007 [14]
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