Answer:
<u>There are 70 students on the two buses, 42 on the large and 28 on the smaller.</u>
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Number of students on the large bus = 42
Number of students on the small bus = 40% of the students
2. How many total students are on the two buses?
For answering the question, we will use the Rule of Three Simple, this way:
42 students are 60% of total students, how much students are the 100%?
Total students = 42 * 100/60
Total students = 4,200/60 = 70
<u>There are 70 students on the two buses, 42 on the large and 28 on the smaller.</u>
<h3>The value of VST is 4 cm.</h3>
<h3>Hope it helps...</h3>
Answer:
a = 1/2
Step-by-step explanation:
About 16 copies cost the same amounts
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
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Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
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We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
