Make 27 into 3^3, then since the bases are the same, solve (x-1) = 3. The answer is 4.
This is the negative reciprocal of the slope<span>. The solution can be obtained by solving y=−0.5x+b using the information given. It is also worth knowing that if the </span>line passes through the origin<span>, the y intercept is already determined (it is 0 since the </span>line<span>will </span>pass through<span> the y axis at 0)</span>
Answer:
i need a picture to answer you question the question in very confusing
Step-by-step explanation:
<span>A motorboat
travels 222 km in 6 hours going upstream.
Rate = distance/time = 222/6 = 37 km/hr
----------------------
It travels 390 km going downstream in the same amount of time.
Rate = distance/time = 390/6 = 65 km/hr
---------
What is the rate of the boat in still water and what is the rate of the
current?
Equations:
Upstream: b-c = 37 km/hr
Downstrm: b+c = 65 km/hr</span>
<span>Add and solve
for "b":
(2)b = 102 km/hr
b = 51 km/hr (speed of the boat in still water)
-----
Solve for "c":
b+c = 65
51 + c = 65
c = 14 km/hr (speed of the current)</span>
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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