What is the value of y?

Answer:

a. 15 = d/600 + 12 + d/480

b. 800 feet

Step-by-step explanation:

a. Let distance between hive and flowerbed be "d" feet

Speed of bee during motion from hire to flowerbed = 10ft / sec = (10*60)fit/minute

Speed of bee during reverse motion = 8 ft/sec = (8*60)ft/min

Time which the bee stayed at flower bed = 12 minute

Time of its total journey = 15 minutes

Total Time = Time of travel from hive to flowerbed + Time of staying in flowerbed + Time of reverse travel

15 = d/10*60 + 12 + d/8*60

15 = d/600 + 12 + d/480....................(Required equation)

b. 15 = d/600 + 12 + d/480

d/600 + d/480 = 15 - 12

d/600 + d/480 = 3

4d + 5d  =  3

 2400

9d = 2400 * 3

9d = 7200

d = 7200/9

d = 800 feet

Hence, the flowerbed is 800 feet far from the hive.

Step-by-step explanation:

[tex] \frac{21}{99} \\ = \frac{7 \times 3}{33 \times 3} \\ = \frac{7}{33} \\ = 0.212121212... \\ \frac{21}{99}= 0. \overline{21}[/tex]

Answer:

b) 4

Step-by-step explanation:

4 is the solution. There is more than one way to solve this problem. The easiest way may be to check each choice. Plug in each choice for day 4 and solve for the mean absolute deviation.

Answer:

x=6

Step-by-step explanation:

If b in in the middle of A and C then you would set AB equal to BC and solve

Answer:

the answer is 7 not 6

Step-by-step explanation:

x+(4x-3)=90.

5x-3=90.

5x=93.

x=18.6.

Answer: the mean will be higher than the median and mode

Step-by-step explanation:

It's A for apex users

Step-by-step explanation:

For number 1, the rate is 20km/140min

So you divide so the rate becomes 1km/(?)

20/20=1

140/20=7

1km/7min

Then to get it to 8km/(?) multiply both sides by 8

1x8=8

7x8=54

8km/54min

Answer: It would take him 54 min to cycle 8km

Answer: 6

Step-by-step explanation:

Answer:

6cm

Step-by-step explanation:

22-16=6cm

CA is a subsection of AB and we already have CB which is the remaining length if we cut off CA, therefore if we subtract CB from AB we get CA.

Hey there!

[tex]Answer:\boxed{x=3,1}[/tex]

[tex]Explanation:[/tex]

x^2 - 4x + 3

If you want to solve using quadratic formula, you have to find a, b, c to find x.

x = 3,1

Hope this helps!

Answer:

37 is the smallest positive integer n such that n(n+1)(n+2) is divisible by 247.

Step-by-step explanation:

First we will find the prime factors of 247:

247 = 13 x 19 (which are both prime).

So now we need to find a number (the smallest one) that is of the form (n)(n+1)(n+2) (the product of three consecutive numbers) and that is divisible by both 13 and 19 (and therefore divisible by 247)

Let's take a look at the multiples of 13: 13, 26, 39, 52...

Let's take a look at the multiples of 19: 19, 38, 57...

We can see that the first time we have two multiples close together are the 38 (for 19) and the 39 (for 17).

So, if our number has both 38 and 39 as factors, then it will be divisible by 247.

However, we need not two but three consecutive numbers, and since we want the number to be the smallest positive integer, we will add 37 (since our other choice would be to add 40 and that would make the number bigger) and thus our number is (37)(38)(39) or in other words (37)(37 + 1)(37 + 2) and therefore this is the smallest positive number such that n(n+1)(n+2) is divisible by 247.

The smallest positive integer n such that n(n+1)(n+2) is divisible by 247 is 37.

n(n+1)(n+2) is divisible by 247

Then, n(n+1)(n+2) =247k, where k is an integer

so, [tex]k = \frac{n(n+1)(n+2)}{247}[/tex]

An integer is a number that is not a fraction but a whole number.

Since the prime factors of 247 are 19 and 13.

By hit and trial let us choose the value of n such that n *(n+1) or (n+1) *(n+2) or n *(n+2)  become the multiples of 19 *13.

If n = 37

n+1 = 38

n+2 = 39

So, if n=37, ( n+1 )*(n+2) will get divided by 19*13

So, the smallest possible integer 'n' will be 37.

Therefore, the smallest positive integer n such that n(n+1)(n+2) is divisible by 247 is 37.

To get more about the number system visit:

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Answer:

-81

Step-by-step explanation:

-3 to the power of 4 is -81.

Answer:

Step-by-step explanation:

(-1-5)/2 = -6/2= -3

(-5+9)/2 = 4/2 = 2

(-3, 2)

Answer:

8

Step-by-step explanation:

9 - 3 - 2 = 4

4 + 4 = 8

Hope this help you :)

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Answer:

8

Step-by-step explanation:

9 - 5 = 4

4 + 4 equals 8

hope this helps :D

Answer:

x= -3

Step-by-step explanation:

[tex]\text{Hello there! :)}[/tex]

[tex]\large\boxed{x = -3}[/tex]

[tex]5x - 2 + x = -20\\\\\text{Combine like terms:}\\\\5x + x - 2 = -20\\\\6x - 2 = -20\\\\\text{Add 2 to both sides:}\\\\6x - 2 + 2 = -20 + 2\\\\6x = -18\\\\\text{Divide both sides by 6:}\\\\6x / 6 = -18/6\\\\x = -3[/tex]

Answer:

Step-by-step explanation:

step one:

Given the function

y = 14 +2.31x + 4.50

we can solve for the rate of change by applying differentiation.

step two:

differentiating y which is cost with respect to x which is the miles

dy/dx= 0+2.32+0

dy/dx=2.32

Hence the rate of change of cost in the dollar to a mile is

2.32dollar/mile

Step-by-step explanation:

the answer is 177.75 lb; 178.25 lb

Answer:

I believe the question is asking what it was before it was rounded to 178.

Your answer is 177.5lb

Step-by-step explanation:

A half pound is 0.5lb. After 5 or 0.5 you always round up. So rounding 177.5lb to the nearest half pound would be 178lb. Hope this helps!

Answer:

Albert invested $21,000

John invested $49,000

Step-by-step explanation:

First add 3 and 7

3+7=10

Now divide 70,000 by 10

70,000/10=7000

Now multiply 7000 by 3 and 7

7000x3=21,000

7000x7=49,000

Hope this helps! Plz award Brainliest : )

Answer:

1/4

Step-by-step explanation:

We can isolate x:

-2x + 14x = -7 + 10

12x = 3

x = 3/12 = 1/4

Answer:

5 hours

Step-by-step explanation:

Arrival Time in Victorian time = 4 - 3 = 1pm

Flight time = 13 - 6 = 5 hours

The amount of wallpaper that Tomlin remove is 20m²

To determine the amount of wallpaper, we need to know the area.

The formula that is used to calculate the area of a rectangle is expressed as;

A = lw

Such that the parameters of the formula are given as;

Now, substitute the values given in the question, we have;

Area = 5(4)

expand the bracket, we get;

Area = 20m²

Learn more about area at: https://brainly.com/question/25292087

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Answer:

15.5

Step-by-step explanation:

You divide 62 by 2 which gives you 31 which means the car is going 31 mph. Then you divide 31 by 2 again and you get 15.5.

 15.5

+15.5

-------

  31.0

Hope I helped!!!

Answer:

13

Step-by-step explanation:

→ Complete the division first

4 ÷ 2 = 2

11 + 2

→ Add

13

Answer:

87,025

Step-by-step explanation:

17550-20525. just subtract

Answer:

16 =13

False

Step-by-step explanation:

[tex]2 + (3 + 11) =(2 + ) + 11\\\\2+\left(3+11\right)=\left(2\right)+11\\\\\mathrm{Simplify\:}2+\left(3+11\right):\quad 16\\\\\mathrm{Simplify\:}\left(2\right)+11:\quad 13\\\\16=13\\\\False[/tex]

Answer:

The water level at Lake Willow is 9 feet after the rain

Step-by-step explanation:

Simply add 23 and -14

-14+23=9

Hope this helps

Answer:

-2-12s

Step-by-step explanation:

distributive property

Answer:

14

Step-by-step explanation:

PEMDAS - First Do Parentheses

29-3(5)

Then Do Multiplication

29-15

Then Finish with Subtraction

14

The value of the expression is 14.

We have,

Expression:

29 - 3 ( 9 - 4)

Remove the parenthesis.

29 - 3 x 9 + 3 x 4

29 - 27 + 12

Subtract and add the values.

14

Thus,

The value of the expression is 14.

Learn more about expressions here:

https://brainly.com/question/3118662

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