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Irina-Kira [14]
2 years ago
6

The senior classes at High School A and High School B planned separate trips to the county fair.

Mathematics
1 answer:
crimeas [40]2 years ago
5 0

Using a system of equations, it is found that:

  • A van can carry 18 students.
  • A bus can carry 38 students.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given by:

  • Variable x: Number of students that a van can carry.
  • Variable y: Number of students that a bus can carry.

A rented and filled 14 vans and 5 buses with 442 students, hence:

14x + 5y = 442.

High School B rented and filled 5 vans and 5 buses with 280 students, hence:

5x + 5y = 280.

Simplifying by 5:

x + y = 56.

y = 56 - x.

Hence:

14x + 5(56 - x) = 442.

9x = 162

x = 162/9

x = 18.

Then:

y = 56 - x = 56 - 18 = 38.

Hence:

  • A van can carry 18 students.
  • A bus can carry 38 students.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

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The area of this square
ANEK [815]

It appears as if 12cm is half the length of the side so we can assume that the total length of one side is 24cm.


The area of a square is given by the equation A=s^{2} where s is the length of the side.  

A=24^{2}

A=576


The area of this square is 576cm2.


Hope this helps!

7 0
3 years ago
What is the quotient of 2 1/5 ÷ 6 3/5 <br><br>A. 1/3<br><br>B. 3/4<br><br>C. 24/35<br><br>D. 2/3​
zepelin [54]

Answer:

A.1/3

Step-by-step explanation:

on the picture

if it's helpful ❤❤❤

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7 0
3 years ago
Factor completely: <br> x^3 - x^2 - 6x
PSYCHO15rus [73]

Answer:

x(x-3)(x+2)

Step-by-step explanation:

1. Find the GCF (Greatest Common Factor)

GCF=x

2. Factor out the GCF and simplify.

x(x^{2} -x-6)

3. Factor x^{2} -x-6.

Which two numbers add up to -1 and multiply to -6?

<u>-3 and 2</u>

Rewrite the expression using the numbers above.

(x-3)(x+2)

4. Done!

x(x-3)(x+2)

4 0
3 years ago
The pyramid below has a square base.
zavuch27 [327]

The volume of the pyramid would be 2406.16 cubic cm.

<h3>How to find the volume of a square-based right pyramid?</h3>

Supposing that:

The length of the sides of the square base of the pyramid has = b units

The height of the considered square-based pyramid = h units,

The pyramid below has a square base.

h = 24.4 cm

b = 17.2 cm

Then, its volume is given by:

V = \dfrac{1}{3} \times b^2 \times h \: \rm unit^3

V = \dfrac{1}{3} \times 17.2^2 \times 24.4 \: \rm unit^3\\\\V = 2406.16

Therefore, the volume of the pyramid would be 2406.16 cubic cm.

Learn more about pyramid;

brainly.com/question/20324485

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3 0
2 years ago
Please anybody help me in this
Simora [160]

Answer:

<h2>a) 0.38</h2><h2>b) 0.62</h2><h2>c) 0.78</h2><h2>d) 0.03</h2><h2>e) 0.02</h2><h2>f) 0.62</h2><h2>g) 0.38</h2>

Step-by-step explanation:

a)

Probability of a owner to be moved = \frac{total owner}{total Americans} = \frac{14.8}{39} = 0.379 ≅ 0.38

b)

Probability of a renter to be moved = \frac{total renters}{total Americans} = \frac{24.2}{39} = 0.62

c)

Probability of a person who moved in the same state = \frac{Persons who moved to the same state}{Total Americans} = \frac{30.4}{39} = 0.779 ≅ 0.78

d)

Probability of a person who moved to a different country = \frac{Total moved to different country}{Total Americans} = \frac{1.3}{39} = 0.033 ≅0.03

e)

Probability of a owner who moved to a different country = \frac{Owners that moved to different country}{Total people who moved to different country} = \frac{0.3}{14.8} = 0.02

f)

Probability of a renter moving in the same state = \frac{Renter that moved in the same state}{Total persons moved in the same state} = \frac{18.7}{30.4} = 0.615 ≅ 0.62

g)

Probability of an owner moved to different state = \frac{Owners moved in different state}{Total moved in different state} = \frac{2.8}{7.3} ≅0.38

3 0
3 years ago
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