The answer is 0.2 when it is fully simplified
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
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Answer:
It is.
Step-by-step explanation:
1.5cm is in the plan.
1.92m is in real life.
We need to convert m to cm so 1.92m=192cm
The ratio is 1:128.
1.5cm in plan as is 192 cm in real life.We write that as the ratio of: 1.5 : 192.
We need to prove that it is the actual scale so we equal this ratio(1.5:192) and the other ratio(1:128):
1.5 : 192 = 1 : 128
Then we multiply the numbers that are in and out of the equation like this:
1.5 * 128 = 192 * 1
192 = 192 It is proven beacuse the numbers are equal. The scale of the house is 1:128

Let the number be x.
Then, the number increased by 3 will be x + 3.
<u>According</u><u> </u><u>to </u><u>question</u><u>,</u>
x(x + 3) = 54
x² + 3x = 54
x² + 3x - 54 = 0
<u>By middle term factorisation</u>,
x² + 9x - 6x - 54 = 0
x(x + 9) - 6(x + 9) = 0
(x + 9)(x - 6) = 0
<u>Equating </u><u>to </u><u>zeroes </u><u>and </u><u>we </u><u>get,</u>
x + 9 = 0
x = -9 (First value)
and,
x - 6 = 0
x = 6 (second value)