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stealth61 [152]
3 years ago
14

School guidelines require that there must be at least 2 chaperones for every 25 students going on a school trip. How many chaper

ones must there be for 80 students?
A. 6 chaperones

B. 40 chaperones

C. 3 chaperones

D. 7 chaperones
Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
7 0
We are given that the ratio of chaperon to student is at least 2 chaperon per 25 students. In this case, the number of chaperons of 80 students is 2 chaperon per 25 students * (80 students) equal to 6.4 chaperons .Since only natural numbers are allowed, then the answer should be D.7 chaperons 
ivolga24 [154]3 years ago
7 0
The answer is d you would need 7. 6 would only cover 75 students.
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3 years ago
Prove De Morgan's law by showing that each side is a subset of the other side by considering x ∈ A⎯⎯⎯ A ¯ ∩ B⎯⎯⎯ B ¯ .
adelina 88 [10]

Solution :

We have to prove that $\overline{A \cup B} = \overline{A} \cap \overline{B}$   (De-Morgan's law)

Let  $x \in \bar{A} \cap \bar{B}, $ then $x \in \bar{A}$ and $x \in \bar{B} $

and so $x \notin \bar{A}$ and $x \notin \bar{B} $.

Thus, $x \notin A \cup B$ and so $x \in \overline{A \cup B}$

Hence, $\bar{A} \cap \bar{B} \subset \overline{A \cup B}$   .........(1)

Now we will show that $\overline{A \cup B} \subset \overline{A} \cap \overline{B}$

Let $x \in \overline{A \cup B}$ ⇒ $x \notin A \cup B$

Thus x is present neither in the set A nor in the set B, so by definition of the union of the sets, by definition of the complement.

$x \in \overline{A}$ and  $x \in \overline{B}$

Therefore, $x \in \overline{A} \cap \overline{B}$ and we have $\overline{A \cup B} \subset \overline{A} \cap \overline{B}$  .............(2)

From (1) and (2),

$\overline{A \cup B} = \overline{A} \cap \overline{B}$

Hence proved.

3 0
2 years ago
What is the total surface area of the rectangular pyramid whose net is shown?
Lunna [17]

Answer:

95 in.²

Step-by-step explanation:

Total surface area of the rectangular pyramid = 4(area of triangle) + area of rectangle

Area of triangle = ½*base*height

base = 5 in.

height = 7 in.

Area of triangle = ½*5*7 = 17.5 in.²

Area of rectangle = Length*width = 5*5 = 25 in.²

Plug in the values

Total surface area of the rectangular pyramid = 4(17.5) + 25

= 95 in.²

7 0
2 years ago
A car traveling east at 40.0 m/s passes a trooper hiding at the roadside. The driver uniformly reduces his speed to 25.0 m/s in
Anni [7]

Step-by-step explanation:

It is given that,

Initial speed of the car, u = 40 m/s

Final speed of the car, v = 25 m/s

Time taken, t = 3.5 s

(a) We need to find the magnitude and direction of the car’s acceleration as it slows down. It can be calculated using formula as :

a=\dfrac{v-u}{t}

a=\dfrac{25-40}{3.5}

a=-4.28\ m/s^2

The acceleration is in the opposite direction of motion i.e. west.

(b) Let s is the distance the car travel in the 3.5-s time period. It can be calculated using the third equation of motion as

s=\dfrac{v^2-u^2}{2a}

s=\dfrac{25^2-40^2}{2\times (-4.28)}

s = 113.9 meters

Hence, this is the required solution.

6 0
3 years ago
ANSWER PLZ QUICK AND FAST
Sergio [31]

Jack had b boxes. Then he got 4 more. That is equal to:

b+4

On Wednesday, half the boxes were destroyed. To find half the amount, you can divide by 2, which is equal to:

\frac{b+4}{2}

Choice C matches the answer. Your answer is C

5 0
3 years ago
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