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Valentin [98]
3 years ago
14

In a school building, there are 8 exterior doors and 12 stairways to enter the second floor. Find a total number of ways to reac

h the second floor
Mathematics
1 answer:
Kazeer [188]3 years ago
7 0
To reach the second floor you would look at all ways to enter to building(8) and multiply it by the number of ways to reach the second floor (12).

8 x 12 = 96 possibilities

Think of it in groups.

1st door and 12 possible sets of steps
2nd door and 12 possible sets of steps
3rd door and 12 possible sets of steps
4th door and 12 possible sets of steps
5th door and ..., etc.....
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Combine any like terms in the expression. If there are no like terms, rewrite the expression.
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Answer:

15t

Step-by-step explanation:

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19t-4t

15t

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3 years ago
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PLEASE HELP I NEED HELP!! 25 POINTS
Marysya12 [62]

60x+80=100x combine like terms

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3 years ago
If 1/√a-√b=1/3 and 1/√a+√b=1/2, then find the difference of a and b.​
kow [346]

<u>ANSWER:</u>

If \frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3} and \frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2} then the difference of a and b is 6

<u>SOLUTION:</u>

Given, \frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3} →\sqrt{a}-\sqrt{b}=3 ----- (1)

And \frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2} → \sqrt{a}+\sqrt{b}=2 --- (2)

We have to find difference of a and b.

Now, add (1) and (2)

\sqrt{a}-\sqrt{b}=3

\sqrt{a}+\sqrt{b}=2

Adding above two equations, we get,

2 \sqrt{a}+0=2+3

\begin{array}{l}{2 \sqrt{a}=5} \\\\ {\sqrt{a}=\frac{5}{2}} \\\\ {a=\frac{25}{4}}\end{array}

substitute \sqrt{a} value in (2)

\begin{array}{l}{\frac{5}{2}+\sqrt{b}=2} \\\\ {\sqrt{b}=\frac{2}{\sin \frac{5}{2}}} \\\\ {\sqrt{b}=\frac{4-5}{2}} \\\\ {\sqrt{b}=\frac{-1}{2}} \\\\ {b=\frac{1}{4}}\end{array}

Now, difference of a and b is a – b = \frac{25}{4}-\frac{1}{4}=\frac{24}{4}=6

Hence, the difference of a and b is 6.

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The equation 3/4 [x-1]=[-3] is equivalent to?
olga nikolaevna [1]

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