MATHEMATICS HIGH SCHOOL

One-fifth of a swarm of bees is resting on a kadaba bush and a third on a silindha bush; three timesthe difference between these two numbers is on a kutaja, and a single bee has flown off in the breeze drawn by the odor of a jasmine and a pandam. Tell me, beautiful maiden, how many bees are there?

Answers

Answer 1

Answer:

Answer:

There are 15 bees.

Step-by-step explanation:

Let's call x the total number of bees. There is one fifth of that in one bush, which can be written as:

$(1)/(5)x$

there is one third on another, which is:

$(1)/(3) x$

the other one has three times the difference between the previous two:

$3((1)/(3)x-(1)/(5)x)$

So, if we add those three quantities plus one single bee that flew away, it all should add up to the total number of bees, which is x. So:

$3((1)/(3)x-(1)/(5)x)+(1)/(3)x+(1)/(5)x+1=x$

We will solve for x:

$(3)/(3)x-(3)/(5)x+(1)/(3)x+(1)/(5)x+1=x$

$(15)/(15)x-(9)/(15)x+(5)/(15)x+(3)/(15)x+1=x$

$(14)/(15)x+1=x$

We will move the positive x on the right of the equal as a negative one to the left:

$(14)/(15)x-x+1=0$

$(14)/(15)x-(15)/(15)x+1=0$

$-(1)/(15)x+1=0$

$1=(1)/(15)x$

$15=x$

We can prove this answer by replacing in the original equation:

$3((1)/(3)15-(1)/(5)15)+(1)/(3)15+(1)/(5)15+1$

$3(5-3)+5+3+1$

$3(2)+9$

$6+9=15$

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What is 8% expressed as a fraction in it's simplest form?

Answers

Answer:

$(2)/(25)$

Step-by-step explanation:

Percent means per hundred

$(8)/(100)$ Divide the numerator (top) and denominator (bottom) by 4

$(8)/(100)$ ÷ $(4)/(4)$ = $(2)/(25)$

3/4 (h + 20) in distributive property

Answers

Answer:

3/4h + 15

Step-by-step explanation:

3/4 (h+20)

= 3/4h + 3/4 * 20

= 3/4h + 15

A car is traveling at a rate of 90 kilometers per hour. what is the car rate in kilometers per minute. how many kilometers can the car travel per 20 minutes?

Answers

The car rate in km/min is found by,
$90km / 60mins = 1.5 (km)/(mins)$
Then the car will travel this in 20mins,
$1.5 (km)/(mins) * 20mins = 30km$

Find the missing value 6x=12

Answers

According to the order of operations, the first thing you need to do is divide both sides by 6.

6x ÷ 6 = 12 ÷ 6

That gets x on one side by itself, making x = 2

The missing value of 6x = 12 is 2

2 is the answer also u can just think of it as dividing

Simplify 8(R + 6) - 2R

Answers

8(R + 6) - 2R,8R + 48 - 2R,The result is 6R + 48

30 miles per hour.3,520 feet per minute.who runs faster and by how many miles per hour? There 5,280 feet in one mile

Answers

First let's convert 30 miles to feet.

30 x 5,280 = 158400

Now let's find how many feet the first person runs per minute.

158400/60 = 2640

The first person runs 2,640 feet per minute, and the second person runs 3,520 feet per minute.
Since the second person runs fast, let's find by how many miles per hour they're faster than the first person.

3520-2640 = 880
How many miles is 880 feet?
5280/880 = 0.17

The second person runs faster by 0.17 miles per hour.

Hope this helps! :)

Hello!

CORRECTION: "A white-tailed deer can sprint at speeds up to 30 miles per hour. American bison can run at speeds up to 3,520 feet per minute. Which animal is faster and by how many miles per hour? There are 5,280 feet in one mile. "

OPTIONS:
A: A deer is 10 miles per hour faster than a bison.

B: A bison is 10 miles per hour faster than a deer.

C: A deer is 0.66 miles per hour faster than a bison.

D: A bison is 0.66 miles per hour faster than a deer.

This is what you meant right!? ^^^

I've done this Question before, so i'll Help You Then!

We 1st off, have to convert the ft/min speed into miles/hour:

3520 feet ... 1 mile ..... 60 minutes ... 3520 x 60 miles
-------------- x ------------- x ---------------- = ---------------
1 minute ... 5280 feet .... 1 hour .......... 5280 hours

= (3520 * 60) / 5280
= 40 miles/hour

The Correct Answer Is:
B. The bison is 10 miles per hour faster than a deer.

Hope this Helps! Have A Wonderful Day! :)

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