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Natalija [7]
3 years ago
8

You are standing on a middle rung of a ladder. If you first climb up 3 rungs, then down 5 rungs, and then up 10 rungs, how many

rungs are on the ladder?
Mathematics
1 answer:
Eddi Din [679]3 years ago
8 0

Answer:

The total number of rungs on the ladder are 16 rungs .

Step-by-step explanation:

Given as :

At first the climb up number of ladder = 3 rungs

At second the climb down number of ladder = 5 rungs

At third the climb up number of ladder = 10 rungs

Let The total number of rungs on the ladder = x

Now, According to question ,

The total number of climb up ladder = First + Third

I.e The total number of climb up ladder = 3 + 10 = 13 rungs

And The total number of climb down ladder = 5 rungs

So ,  From the middle of rungs =  total number of climb up ladder -  total number of climb down ladder

I.e \dfrac{x}{2} = 13 rungs - 5 rungs

∴ x = 8 × 2 rungs

I.e x = 16

Hence The total number of rungs on the ladder are 16 rungs . Answer

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jeordine spreads out a rectangular picnic blanket with an area of 42 square feet. its width is 6 feet. which equation could you
Bas_tet [7]

L(which is length) is equal to 42 divided by width which is 6. so the equation is L=42/6

5 0
4 years ago
F(x)=23x−1 and g(x)=−4x+6.
USPshnik [31]

The transformation occurs from function g is a vertical translation 6 units down.

<h3>What is Transformation?</h3>

A function f, usually with some geometrical underpinning, that maps a set X to itself, i.e. f : X → X.

Given:

g(x) = 4x + 6

g(x) = 0

4x + 6=0

x= -6/4

Now,

f(-6/4) = 2 - 1

=-1

By seeing g(x), we can say that  function g is a vertical translation 6 units down.

Learn more about transformation here:

https://brainly.in/question/29403318

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3 0
2 years ago
A scientific calculator has 42 buttons. There are twice as many grey buttons as orange buttons. There are two more white buttons
Arlecino [84]

Answer:

x + 2x + 2x + 2 + 4x + 4 = 42

Step-by-step explanation:

Let us assume the number of orange buttons be x

So, the grey buttons be 2x

The white buttons would be 2x + 2

And the black buttons be 2(2x + 2) i.e. 4x + 4

Also the total is 42 buttons

So, the equation is

x + 2x + 2x + 2 + 4x + 4 = 42

5 0
3 years ago
How to do this question plz answer ​
ANEK [815]

9514 1404 393

Answer:

  more than half are being used

Step-by-step explanation:

Perhaps easiest to understand is the most straightforward: figure the total number of seats and the number of seats being used. Check to see if that is more than half.

The 1 first-class carriage has usage of ...

  (3/8)(64 seats) = 24 seats.

The 6 standard carriages have usage of ...

  (7/13)(6 · 78 seats) = 252 seats.

The total number of seats used is ...

  24 + 252 = 276 . . . . seats used

__

The total number of seats on the train is ...

  1·64 +6·78 = 532 . . . . seats on the train

Half of the seats on the train will be ...

  532/2 = 266 seats . . . . half the seats

The 276 used seats are more than half of the total number. More than half the seats are being used.

_____

<em>Alternate solution</em>

Another way to look at this is to compare utilization to 1/2 in each carriage class.

  In first class 1/2 -3/8 = 1/8 of 64 seats = 8 seats fewer than 1/2 the seats are being used.

  In standard class, 7/13 -1/2 = 14/26 -13/26 = 1/26 of 78 seats = 3 seats more than 1/2 the seats are being used. There are 6 standard class carriages, so 6·3 = 18 more than half the seats in the standard-class carriages are being used.

This number is 10 more than the 8 under-utilized seats in first class, so <em>more than half the train seats are being used</em>.

8 0
3 years ago
The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms. How lo
liberstina [14]

Answer:

16.34 hours

Step-by-step explanation:

According to the given information we can see that the case is of exponential growth

Hence, we will use the formula

A=P(2)^\frac{t}{24}

Here A =800 is the amount that is needed to reach

P is the initial amount that is 500

We have to find the time it will take to reach 800 that is we need to find t

On substituting the values in the formula we get

800=500(2)^\frac{t}{24}

On simplification we get

\Rightarrow\frac{8}{5}=(2)^\frac{t}{24}

Taking log on both sides we get

\Rightarrow\log\frac{8}{5}=\log(2)^\frac{t}{24}

using \log\frac{m}{n}=\log m-\log n

And \log a^m=m\log a

\Rightarrow\log{8}-\log{5}=\frac{t}{24}\log2

Now substituting values of log 8=0.903, log 5=0.698 and log 2=0.301 we get

\Rightarrow 0.903-0.698=\frac{t}{24}0.301

\Rightarrow 0.205=\frac{t}{24}0.301

\Rightarrow \frac{0.205}{0.301}\cdot 24=t

\Rightarrow t=16.34

8 0
3 years ago
Read 2 more answers
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