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ikadub [295]
3 years ago
14

Convert 11.42424242 to a rational expression in the form a/b, where b=0

Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0
I think you mean b is not equal to 0.

We have that 11.424242... = 11 + 0.424242...
Now let x = 0.424242...
Then 100x = 42.424242...
Now 99x = 100x - x = 42 so 99x = 42 and therefore x = 42/99

Now we can simplify 42/99 to 14/33

Now combining this we get 11.424242... = 11 + 14/33
= 363/33 + 14/33 = 377/33

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Someone please help!!
Katena32 [7]

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.

Step-by-step explanation:

You can find the amount of students each vehicle can carry by representing the two scenarios in equations.

You are trying to find how many students will fit in each bus or van, so the two variables used will be "b" to represent how many students can fit in a bus and "v" to represent how many students can fit in a van.

High school A used 1 van and 6 buses, so there will be 1"v" and 6"b" for 372 students.

High school B used 4 vans and 12 buses, so there will be 4"v" and 12"b" for 780 students.

Now, represent these in equations:

v+6b = 372\\4v + 12b = 780

We can use substitution to solve this system:

v + 6b = 372 can be rewritten as v = 372 - 6b after subtracting 6b from both sides. You can then substitute this new value of "v" into the other equation to solve for "b":

4(372-6b) + 12b = 780\\1488 - 24b + 12b = 780\\1488 - 12b = 780\\-12b = -708\\b = 59

After solving for b, you can then substitute the new value of b into the other equation to find the value of v:

v + 6(59) = 372\\v + 354 = 372\\v = 18

After solving for both variables, you find that each bus can hold 59 students and each van can hold 18 students.

5 0
3 years ago
Read 2 more answers
1. h(2) + g(2) *<br> h(t) = 3-5<br> g(t) = 2t - 5
kap26 [50]

Answer:

h(2)+g(2) = -3

Step-by-step explanation:

h(2) +g(2)\\ \\h(t) = 3-5, g(t) = 2t -5

        Replace the variable  (t)  with (

2)  in the expression.

h (2) = 3 - 5

        Replace the variable  (t)  with (

2)  in the expression.

g(2) = 2(2) -5

        Replace the function designators in h(2) +g(2) with the actual functions.

h(t) = 3 - 5 +2 (2) ← plug h(2) into 2(t)

         Remove parentheses.

3 - 5 + 2(2)

         Multiply 2 by 2

3 - 5 + 4 - 5

         Subtract  5  from  3

.

-2 + 4 - 5

          Add -2 and 4

2 - 5

          Subtract 5 from 2

-3

7 0
3 years ago
HELP QUICK!!!
lys-0071 [83]
The answer is the height of 17 and base is 12 of this helps mark as brainliest
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What is 45 as a binary code and how do I find its out
Zinaida [17]

Answer:

<h2>101101</h2>

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An airplane leaves New York to fly to Los Angeles. It travels 3,850 km in 5.5 hours. What is the velocity of the airplane?
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Answer:

C. 700 km/hour

Step-by-step explanation:

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