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3 years ago

The inequality for the graph and please answer quickly

Mathematics

1 answer:

Marizza181 [45]3 years ago

3 0

Answer:

x ≥ 1

Step-by-step explanation:

The circle is over 1
The circle is closed (filled in), which means it will be either ≤ or ≥.
The arrow is pointing right, so it's ≥.
The number can be represented by x
Put it together: x ≥ 1

I hope this helps!

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what is the answer here 90 student went to the zoo, 3 had hamburger milk and cake; had 5 milk and hamburger; 10 had cake and mil

dangina [55]

Answer:

a) 37

b) 2

c) 17

d) 8

Step-by-step explanation:

90 Students went to the zoo. 3 had hamburger, milk and cake; 5 had milk and hamburger, 10 had cake and milk; 8 had cake and hamburger; 24 had hamburger; 38 had cake; 20 had milk. How many had a. nothing b. cake only c. milk only d. hamburger only

Solution:

Let h represent students that ate hamburger, m represent students that had milk and c represent students that had cake.

Given that:

n(h ∩ m ∩ c) = 3, n(m ∩ h) = 5, n(c ∩ m) = 10, n(c ∩ h) = 8, n(h) = 24, n(c) = 38, n(m) = 20

The number of students that had nothing = n(h ∪ m ∪ C)'

The number of students that had only milk = n(m ∩ h' ∩ C')

The number of students that had only cake = n(m' ∩ h' ∩ C)

The number of students that had only hamburger = n(m' ∩ h ∩ C')

a) n(m ∩ h' ∩ C') = n(m) - n(m ∩ h) - n(c ∩ m) - n(h ∩ m ∩ c) = 20 - 5 - 10 - 3 = 2

n(m' ∩ h ∩ C') = n(h) - n(m ∩ h) - n(c ∩ h) - n(h ∩ m ∩ c) = 24 - 5 - 8 - 3 = 8

n(m' ∩ h' ∩ C) = n(m) - n(m ∩ c) - n(c ∩ h) - n(h ∩ m ∩ c) = 38 - 10 - 8 - 3 = 17

n(m ∩ h' ∩ C') + n(m' ∩ h ∩ C') + n(m' ∩ h' ∩ C) + n(h ∪ m ∪ C)' + n(h ∩ m ∩ c) + n(m ∩ h) + n(c ∩ m) + n(c ∩ h) = 90

2 + 8 + 17 + 5 + 10 + 8 + 3 + n(h ∪ m ∪ C)' = 90

53 + n(h ∪ m ∪ C)' = 90

n(h ∪ m ∪ C)' = 37

b) n(m' ∩ h' ∩ C) = 17

c) n(m ∩ h' ∩ C') = 2

d) n(m' ∩ h ∩ C') = 8

4 0

2 years ago

Match the following:a. When two variables change in the same direction, one remaining larger than the other by the same factor b

Margarita [4]

Answer:

a. When two variables change in the same direction, one remaining larger than the other by the same factor - direct relationship

b. To insert between neighboring points or estimate by taking an average of known values - interpolate

c. A relationship between two variables in which the product remains constant. When one variable increases the other decreases in proportion so that the product is unchanged - inverse relationship

5 0

3 years ago

Find the surface area of the net below.

dedylja [7]

Answer:

472 in²

Step-by-step explanation:

This net is made up of 3 identical rectangles and 2 identical triangles.

Area of a rectangle = width x length

Area of a triangle = 1/2 x base x height

Rectangle

width = 8 in
length = 19 in

Triangle

base = 8 in
height = 2 in

Surface Area

SA = 3(8 x 19) + 2(0.5 x 8 x 2)

⇒ SA = 456 + 16

⇒ SA = 472 in²

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matrenka [14]

To find the box answer, you can divide y by x:

$\frac{y}{x}$

You can check every pair, bit I'm going to show you the first 2 as an example:

$\frac{ - 6}{ - 4} = \frac{3}{2} \\ \\ \frac{ - 3}{ - 2} = \frac{3}{2}$

So 3/2 is the answer!

8 0

3 years ago

An equilateral triangle has a height of 10 feet. How long is one of its sides? (Note: In an equilateral triangle, all sides have

lidiya [134]

Answer:

side length is $\frac{20\sqrt{3} }{3}$ feet