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Bess [88]
2 years ago
9

a local community college has 860 students. Of these 860 students, 220 ride bicycles. Write the number of bike riders as a fract

ion of the number of students at the college in simplest form
Mathematics
1 answer:
Zinaida [17]2 years ago
4 0

Answer:

11/43

Step-by-step explanation:

A local community college has 860 students

Out of this 860 students, 220students ride bikes

Therefore the fraction of bike riders to the number of students can be calculated as follows

= 220/860

= 11/43

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I need help with pre calculus.
Nata [24]

Answer:

  h(x) = 4·log₃(x) +2

Step-by-step explanation:

<h3>Part A:</h3>

  h(x) = f(x) +g(x)

  h(x) = (log₃(x) +3) +(log₃(x³) -1)

  h(x) = log₃(x) +3·log₃(x) +2

  h(x) = 4·log₃(x) +2 . . . . . "simplest" form

  h(x) = log₃(9x⁴) . . . . . . . as a single logarithm

__

<h3>Part B:</h3>

No system of equations is given. Perhaps you want to find x for f(x) = g(x).

  log₃(x) +3 = log₃(x³) -1

  log₃(x) +3 = 3·log₃(x) -1

  4 = 2·log₃(x) . . . . . . . . . . . add 1-log₃(x)

  2 = log₃(x) . . . . . . . . . . . . divide by 2

  3² = x = 9 . . . . . . . . . . . . . take the antilog

The solution to f(x) = g(x) is x = 9.

_____

<em>Additional comment</em>

The relevant rules of logarithms are ...

  a = log₃(b)   ⇔   3^a = b

  log(a^b) = b·log(a)

  log(ab) = log(a) +log(b)

5 0
2 years ago
I need help on this ​
MaRussiya [10]

Answer:

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Step-by-step explanation:

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3 0
2 years ago
Divide:<br> 5/11 •2/5 <br> HURRY PLEASE
Kamila [148]

Answer:

0.1818

Step-by-step explanation:

0.4545 x 0.4

3 0
3 years ago
Read 2 more answers
Identify the solution to the system of linear equations<br> Y=-x-2<br> Y=x-6
NikAS [45]

Answer:

(-4, 2)

Step-by-step explanation:

By looking at the graph, the solution to the system of linear equations will always be where they intercept. If they both are the same line it means that there are infinite solutions, and if they don't intercept at all, that means there are no solutions.

6 0
2 years ago
Determine the value of a + b in the system of equations below. <br><br> 5a + 4b = 22<br> 7a-b= 11
dexar [7]

Answer:

We have a + b as;

2 + 3 = 5

Step-by-step explanation:

Here, we want go get the value of a and b

from the second equation, we can get an expression for b

We have this as;

7a - b = 11

Thus,

b = 7a - 11

Now, from here, we can substitute the value of b into the first equation

We have this as;

5a + 4(7a - 11) = 22

5a + 28a -44 = 22

33a = 22 + 44

33a = 66

a = 66/33

a = 2

Recall;

b = 7a - 11

substituting the value of a from above;

b = 7(2) - 11

b = 14 - 11

b = 3

6 0
2 years ago
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