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Irina-Kira [14]
1 year 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]1 year 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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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?
scoundrel [369]

we have

f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3

we know that

<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

x=\frac{p}{q}

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

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in this problem

the constant term is equal to 3

and the first monomial is equal to 15x^{11} -----> coefficient is 15

So

possible values of p are 1, and\ 3

possible values of q are 1, 3, 5, and\ 15

therefore

<u>the answer is</u>

The all potential rational roots of f(x) are

(+/-)\frac{1}{15},(+/-)\frac{1}{5},(+/-)\frac{1}{3},(+/-)\frac{3}{5},(+/-)1,(+/-)3


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The numbers are differ by 6, 9 and next will be differ by 12 resulting the next no. 0.

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Answer:

Step-by-step explanation:

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