Mathematics, 12.10.2019 05:20 harringtonrob16

Kathy stood on the middle rung of a ladder. she climbed up 4 rungs, moved down 3 rungs, and then climbed up 9 rungs. then she climbed up the remaining 3 rungs to the top of the ladder. how many rungs are there in the whole ladder?

Answers: 2

Show answers

Answers

Answer from: StrangerMo

Kathy stood on the middle rung of a ladder There are 20 rungs in the ladder.

Solution:

Let there be ‘x’ rungs in the ladder.

It is given that in the beginning she is standing in the middle of the rung. Let the middle rung be $\frac{x}{2}$

Now it is given that She climbed up 4 rungs which means she climbed $\frac{x}{2} + 4$ rungs.

Again it is given that she moved down 3 rungs which means she moved down $\left[\left(\frac{x}{2}+4\right)-3\right]$ rungs.

Then she moved down $\left(\frac{x}{2}+1\right)$ rungs

Again she climbed 9 rungs up and reaches the top which means she climbed $\left[\left(\frac{x}{2}+1\right)+9\right]=\left(\frac{x}{2}+10\right)$ rungs

Now we can use the following equation to find the number of rungs in the ladder

$\begin{array}{l}{\frac{x}{2}+10=x} \\\\ {\frac{x+20}{2}=x}\end{array}$

x+20 = 2x

20 = 2x-x

x = 20

Thus the number of rungs in the ladder is 20

Answer from: Quest

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

Answer from: Quest

see explanation

step-by-step explanation:

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

remove brackets and collect like terms

13 - $\frac{3}{2}$ r - 1 + r

= 12 - $\frac{1}{2}$ r

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

remove brackets and collect like terms

= 7r - $\frac{3}{2}$ - $\frac{2}{3}$ - 6r

[- $\frac{3}{2}$ - $\frac{2}{3}$ = - $\frac{9}{6}$ - $\frac{4}{6}$ = - $\frac{13}{6}$ ]

= r - $\frac{13}{6}$

Another question on Mathematics

Mathematics, 21.06.2019 17:00

There is a spinner with 14 equal areas, numbered 1 through 14. if the spinner is spun one time, what is the probability that the result is a multiple of 2 or a multiple of 5?

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

Adj has a total of 1075 dance and rock songs on her system. the dance selection is 4 times the size of the rock selection. write a system of equations to represent the situation.

Answers: 1

Answer

Mathematics, 21.06.2019 18:30

Afarm that has 4 x 10^2 acres has 1.2 x 10^5 cattle. what is the average number of cattle per acre? write the answer in scientific notation. answere asap

Answers: 1

Answer

Mathematics, 21.06.2019 20:30

Aregular pan has a length that is 4/3 the width. the total area of the pan is 432in.2. what is the width of the cake pan?

Answers: 1

Answer

You know the right answer?

Kathy stood on the middle rung of a ladder. she climbed up 4 rungs, moved down 3 rungs, and then cli...

Questions