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2 years ago

What is the solution set of {x | x < -3} ∩ {x | x > 5}?

Mathematics

1 answer:

valentinak56 [21]2 years ago

7 0

Answer:

the empty set {∅}

Step-by-step explanation:

{x | x < -3} ∩ {x | x > 5} is giving us

(-∞, -3) intersecting (5, ∞).

Since those two intervals do not intersect the solution is the empty set

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The 4 fifth-grade classrooms have a total of 29 boxes of expo markers. If the boxes are

Vesnalui [34]

Answer: 7 Boxes

Step-by-step explanation:

There are 4 classrooms and 29 boxes of markers. So, you would divide 29 by 4 which is 7.25. Then, you need to round it because you don't have a quarter of a box. So, each classroom will get 7 boxes.

I hope that helps!

6 0

2 years ago

Read 2 more answers

This famous clock tower has a clock face with a diameter of 23 feet. What is the approximate area of this clock face

pashok25 [27]

Answer:

Therefore the approximate area of this clock face is 415.3 feet².

Step-by-step explanation:

Given:

Clock is of Circular Shape,

Diameter = 23 feet

$Radius =r =\dfrac{diameter}{2}=\dfrac{23}{2}=11.5\ feet$

To Find :

Area of Clock Face = ?

Solution:

Area of Circle having Radius 'r' is given as,

$\textrm{Area of Circle}=\pi r^{2}$

Substituting the values we get

$\textrm{Area of Clock Face}=3.14\times (11.5)^{2}=415.265=415.3\ feet^{2}$

Therefore the approximate area of this clock face is 415.3 feet².

7 0

2 years ago

You and a friend are playing a board game your final score x is 12 points less than your friend final score

Tamiku [17]

You can put it into expressions:
Your score would be x
Your friends score would be x +12

Hope This Helps You!
Good Luck Studying :)

6 0

2 years ago

program that generates two random numbers between one and 11. what is the probability that both values will be more than 7? numb

katovenus [111]

Answer:

1/9

Step-by-step explanation:

The numbers between 1 and 11 are:

2, 3, 4, 5, 6, 7, 8, 9, 10

There are 9 numbers.

Of the 9 numbers, 8, 9, and 10 are greater than 7, so there are 3 numbers greater than 7.

p(number greater than 7) = 1/3

p(>7) = 1/3

Each time a number is selected, the probability it is greater than 7 is 1/3.

For two numbers, you have two independent events, so the overall probability is the product of the individual probabilities.

p(>7 then >7) = p(>7) * p(>7) = 1/3 * 1/3 = 1/9

6 0

2 years ago

A store holiday sale has an item marked down by $10 with an additional discount of 25% off the

ValentinkaMS [17]

Answer:

C : $58.36

Step-by-step explanation:

Given:

A store holiday sale has an item marked down by $10.

Discount on new price = 25%

Final price was $36.27.

Question asked:

what was the original ?

Solution:

Let original price = $x$

New price = $x - 10$

Original price - marked down amount - discount amount = $36.27

$x - 10 -25\% of(x - 10 ) = 36.27\\$

$x - 10 - \frac{25}{100} (x - 10) = 36.27\\x - 10 - 0.25(x - 10) = 36.27\\x - 10 -0.25x +2.5 = 36.27\\0.75x - 7.5 = 36.27\\$

Adding both side by 7.5

$0.75x = 43.77\\$

Dividing both side by 0.75

$x = 58.36$

Therefore, the original price was $58.36

5 0

2 years ago