A bee flies at 20 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 17 ​minutes, and then flies directly back to the hive at 12 feet per second. It is away from the hive for a total of 19
minutes.

Answers

Answer 1

In  linear equation, the distance of the flowerbed from the hive is 2250 feet.

What in mathematics is a linear equation?

There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation. All of the points fall on the same line when you identify the values that together make a linear equation true and plot those values on a coordinate grid.

Let , the distance of the flowerbed from the hive is  feet.

The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.

      time =   distance / speed

So, the time taken by the bee to reach the flowerbed x/20 seconds and the time taken to fly back to the hive = x/12  seconds.

The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.

So, the equation will be

 x/20 + x/12 + 900 = 1200

3x + 5x / 60 = 300

8x  = 300 * 60

x = 2250

Thus, the distance of the flowerbed from the hive is 2250 feet.

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Related Questions

Please help with correct answers-
the function is defined by the following rule
g(x)= -5x-3
complete the function table for g(x)
(check out picture below)

Answers

Answer:

-3=-18

-1=-8

0=-3

1=2

4=17

Step-by-step explanation:

if g(x)=5x-3 s substitute all x figures and calculate

2.
Robert heard that there 94 different apartments in the part of New York City he is considering moving to
rental price is $1,800 with a standard deviation of $100. He is assuming his data is normally distributed
to know how many apartments he will have to look at if his goal rental price is $1,700. Use the standard
table to help Robert narrow down his search to How Many Apartments are priced under $1,700

Answers

where is the standard table?

pls help find interval notation

Answers

Step-by-step explanation:

-2x - 7 > 1

-2x > 8

-x > 4

x < -4

that is a continuous line from -4 all the way to the left, and the dot on -4 is empty (meaning : it is not included due to the "<" symbol).

x - 2 >= -1

x >= 1

that is a continuous line from +1 all the way to the right, and the dot on +1 is filled (meaning : is IS included due to the ">=" symbol.

At Zoe's Beading Boutique, 15 out of the 20 beads on clearance are plastic. What percentage
of beads on clearance are plastic?
Write your answer using a percent sign (%).
Submit
+
Work it out

Answers

Answer:

75%

Step-by-step explanation:

15 over 20 is equal to 3/4 and 3/4 is 75%

highest number impossible to make using 5,7

Answers

Answer:

Step-by-step explanation:

what is the standard deviation for 0,0,0,1,1,1,2,2,3,5?

Answers

Standard Deviation, σ: 1.5
Count, N: 10
Sum, Σx: 15
Mean, μ: 1.5
Variance, σ2: 2.25

Steps



σ2 =
Σ(xi - μ)2
N
=
(0 - 1.5)2 + ... + (5 - 1.5)2
10
=
22.5
10
= 2.25
σ = √2.25
= 1.5

wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

Quadrilateral WXYZ with vertices W(0,-4), X(13,0), Y(9,-12), and Z(5,-12); scale factor: k = 3/4, center of dilation: (1,0)

Answers

Dilation involves changing the size of a quadrilateral or any shape

The coordinates of the image of the dilation are: [tex]W^{\prime}=(1 / 4,-3), X^{\prime}=(10,0)$, $Y^{\prime}=(7,-9)$[/tex] and [tex]$Z^{\prime}=(4,-9)$[/tex]

This is further explained below

How to determine the vertices of the image?

The vertices of the pre-image are given as:

W=(0,-4)

X=(13,0)

Y=(9,-12)

Z=(5,-12)

The scale factor is given as:

k=3 / 4

The center of dilation is given as:

(a, b)=(1,0)

To calculate the vertices of the image, we make use of the following formula [tex]$\left(x^{\prime} y^{\prime}\right)=(k(x-a)+a, k(y-b)+b)$[/tex]

So, we have:

W'=(3 / 4(0-1)+1,3 / 4(-4-0)+0)

W'=(1 / 4,-3)

X'=(3 / 4(13-1)+1,3 / 4(0-0)+0)

X'=(10,0)

Y'=(3 / 4(9-1)+1,3 / 4(-12-0)+0)

Y'=(7,-9)

Z'=(3 / 4(5-1)+1,3 / 4(-12-0)+0)

Z'=(4,-9)

Hence, the coordinates of the image of the dilation are:

W'=(1 / 4,-3),

X'=(10,0),

Y'=(7,-9)

Z'=(4,-9)

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please help quick im so confused

Answers

Answer:

(-5/2,-4)

Step-by-step explanation:

the answer is (x, y) = (-5/2, -4)

Write and solve an equation for the situation.
4. The sum of 7 and u is 14. (1 point)
7+u = 14; u = 7
14+7=u: u = 21
7+u = 14: u = 8
7+14=u: u = 21

Answers

Answer:

=> 7+u = 14; u = 7

Step-by-step explanation:

The sum of 7 and u is 14

=> u + 7 = 14

=> u = 14-7

=> u = 7

X to the power of 2 minus 6 minus 7

Answers

Answer:

[tex]x=\sqrt{13}[/tex]

Step-by-step explanation:

[tex]x^{2} - 6 - 7 = 0 \\x^{2} =13\\x=\sqrt{13}[/tex]

In exercises 23 and 24, find the indicated angle measures. (See photo)

Answers

Step-by-step explanation:

Just do the calculations at last by using the value of x

On a city map, 5th Avenue is parallel to Main Street. If 5th Avenue is
represented by the equation y=2x-3, what is the equation representing Main Street if Main Street passes through the point (5, 2)?

Answers

The equation representing Main Street if Main Street passes through the point (5, 2) is; y = 2x - 8

How to find the equation in slope intercept form?

We are given the linear equation that represents 5th Avenue as;

y = 2x - 3

Now, main street is parallel to 5th avenue and as such will have the same slope.

Thus, equation of the line passing through (5, 2) representing main street is;

y - 2 = 2(x - 5)

y - 2 = 2x - 10

y = 2x - 10 + 2

y = 2x - 8

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How is the quotient of 714 and 17 determined using
an area
model?
Enter your answers
in the boxes to complete the equations.
714 ÷ 17 = ( - 17 ) + ( ÷ 17)
714 ÷ 17 =
714 ÷ 17 =

Answers

Answer:

42 is your answer

Step-by-step explanation:

-lukelaws hope i helped if i did please make me brainliest if i got it wrong i am so sorry

42 is your answer okay like put it in

5. Which value of a satisfies this equation? x + 7 = 28
A) x = 35
B) x = 21
C) x=4
D)x = 14

Answers

Answer:

21

Step-by-step explanation:

Subtract 7 from both sides to get the answer.

You want to put a 5 inch thick layer of topsoil for a new 20 ft by 12 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.

Answers

Answer:64

Step-by-step explanation: 12 x 2 = 24 and 20 x 2 = 40 and if you add it all up it equals 64 cubic yards please tell me if i'm wrong

3. What is the cardinality number of the set {2, 4, 6, 8, 10, 12}?
a. 2
b. 6
c. 8
d. 10

Answers

The cardianality of the set {2, 4, 6, 8, 10, 12} is 6.

According to the given question.

We have a set {2, 4, 6, 8, 10, 12}.

Here, we have to find the cardianality of the set  {2, 4, 6, 8, 10, 12}.

As we know that, the cardinality of a set is a measure of the number of elements of the set.

From the given set {2, 4, 6, 8, 10, 12} we can say that the total number of elements in the given set is 6. So, the cardianality of the set is 6.

Hence, the cardianality of the set {2, 4, 6, 8, 10, 12} is 6.

Thus, option b is correct.

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Juan and jaquan work for separate companies. juan earns $15 for each sale plus 5% commission. jaquan earns $21 for each sale plus 3.5% commission. in july, juan made 35 sales and jaquan made 29 sales. they made the same total salary. which equation can be used to find x, the amount juan & jaquan each had in sales in july?

Answers

The amount Juan & Jaquan each had in sales in July is approximately $725 and the equation for Juan's Earning is 525 + 1.75x and the equation for Jaquan's Earning 609 + 1.015x.

Unitary method:

Unitary method is defined as the process by which we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.

Given,

Juan and Jaquan work for separate companies.

Juan earns $15 for each sale plus 5% commission.

Jaquan earns $21 for each sale plus 3.5% commission.

In July, Juan made 35 sales and Jaquan made 29 sales.

They made the same total salary.

Here we need to find the amount Juan & Jaquan each had in sales in July.

Let x be the total number of sales in July.

So, based on the given details we can written it as,

Juan earns,

=> 15 + 5%x

=> 15 + 0.05x

And Jaquan earns,

=> 21 + 3.5%x

=> 21 + 0.035x

So, in July, Juan made 35 sales and Jaquan made 29 sales,

Then

=> 35(15 + 0.05x)

=> 525 + 1.75x  -----------(Juan's Earning)

=> 29(21 + 0.035x)

=> 609 + 1.015x -----------(Jaquan's Earning)

And also in July, they made the same total salary.

So,

Juan's Earning = Jaquan's Earning

Then,

=> 525 + 1.75x = 609 + 1.015x

=> 1.75x - 1.0.15x = 609 - 525

=> 0.735x = 84

=> x = 84 / 0.735

=> x = 114.28

So, the total amount they earned in July is,

=> 525 + 1.75(114.28) = 609 + 1.015(114.28)

=> 525 + 199.99 = 609 + 115.99

=> 724.99 = 724.99

So, they earned approximately $725 in July.

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If you want to use the sin function in the math library, as x = math.sin(3.14), how should you write the import statement?

Answers

We use import math when we want to use the sin function in the math library, x= math. sin(3.14).

Similar to #include header_file in C/C++, that how to import function in python. The import statement brings in code from one module into another program, where modules are files that contain python code, and modules are used to group related code in a program, instead of rewriting the code again, you can reuse the same code in different files. To import code from a module a parameter is to be followed import module name ( where the import word is the keyword and the module name is the module you want to import  ).

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A 40g rock is lowered into 20ml the water rose to 45ml what is the density


PLEASE HELP ME ​

Answers

Answer:

40g/25ml

Step-by-step explanation:

The density formula is Mass/Volume. The rock is stated to have a mass of 40g, and the 20ml of water was displaced by 25ml, so, the rock has a volume of 25ml.

When someone says they ran a 5k, what type of measurement are they using? is that a far distance?

Answers

Answer:

1 kilometer is equal to 1000 meters

Step-by-step explanation:

5Km means 5000 meters

a runner wants to run 11.7 kmkm . her running pace is 8.1 mi/hrmi/hr . how many minutes must she run?

Answers

The runner should run for roughly around 54 minutes.

What do we mean by conversion factors?A conversion factor is an amount that is used to multiply or divide one set of units into another. When converting to an equal value, the appropriate conversion factor must be used. To convert inches to feet, for example, the suitable conversion value is 12 inches equal to 1 foot.

To find how many minutes must the runner run:

1 mile = 1.6 kmSo, 8.1 miles = 1.6 km

Minutes required are:

11.7 × 60 / 8.1 × 1.6 = 54.16

Therefore, the runner should run for roughly around 54 minutes.

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The numbers of students in the four
sixth-grade classes at Northside School are 26,
19, 34, and 21. Use properties to find the total
number of students in the four classes.

Answers

The total number of students in the four classes is 100 students.

How to compute the value?

From the information, the numbers of students in the four sixth-grade classes at Northside School are 26, 19, 34, and 21.

Therefore, the total number of students will be:

= 26 + 19 + 34 + 21

= 100

Therefore there are 100 students.

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A standard ream of paper plus another half ream of paper contains 750 sheets of paper

Answers

The number of the sheets in a ream of paper is a 500 sheets.

According to the statement

We have to find that the number pf paper sheets in a one ream.

So, For this purpose, we know that the

The standard form of a number is a way of writing the number in a form that follows certain rules.

From the given information:

A standard ream of paper plus another half ream of paper contains 750 sheets of paper.

It means

total number of sheets = 750 sheets

Then

one full ream + half ream = 750 sheets

Let x be a number of sheets

then

x + x/2 = 750

2x+x /2 = 750

3x/2 = 750

3x = 1500

x = 1500/3

x = 500.

So, The number of the sheets in a ream of paper is a 500 sheets.

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A train covers 828 km in 9 hours what distance will it cover in 6 hours​

Answers

Answer:

In 9 hr it covers a distance of 828 km

In 1 hr it will cover a distance of 828 Divided 9 km = 92

In 6 hr it will cover a distance of   92 × 6 km = 552 km

All Done!

Answer:

552 Km

Step-by-step explanation:

find the speed in Km per hour then multiply by 6

828 Km ÷ 9 hours = 92 Km per hour

then distance covered in 6 hours is

distance = 6 × 92 = 552 Km

a light is suspended at a height h above the floor. the illumination, i, at a point p is inversely proportional to the square of the distance, r, from the point p to the light and directly proportional to the cosine of the angle theta. assume k is the constant of proportionality. which of the following can be used to represent the illumination at point p? i

Answers

The light must be at a height of 7.07m from the floor for the maximum illumination at P.

How  Distance  is that?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Let I be the illumination at P then according to given conditions,

I =  k cosθ/r²

Where k is constant of proportionality: since

r² = h² + 10²

cosθ = [tex]\frac{h}{\sqrt{h^{2} + 10^{2} } }[/tex]

then

I = k [tex]\frac{h}{( h^{2} + 100)^{3/2} }[/tex]

on differentiating

[tex]\frac{dI}{dh} = k \frac{h^{2} + 100)^{3/2} - 3h^{2 ( h^{2} + 100)^{1/2} } }{( h^{2} + 100)^{3} }[/tex]

[tex]= k \frac{( 100 - 2h^{2}) }{( h^{2} + 100)^{5/2} }[/tex]

[tex]\frac{dI}{dh} = 0[/tex]

gives

that is

h = √50 = 7.07

now

[tex]\frac{d^{2I} }{dh^{2} } = k \frac{( 6h^{3} - 900h }{( h^{2} +100)^{7/2} }[/tex]

for h = 7.07

[tex]\frac{d^{2}I }{dh^{2} } = - 10267.6[/tex]

then by second derivative test,I has a maximum ath=7.07

Hence the light must be at a height of 7.07m from the floor for the maximum illumination at P.

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A plane is flying at a speed of 150 miles per hour. The pilot plans to fly at this speed for
the next 160 miles, plus or minus 25 miles. Write an absolute value equation to find the
minimum and maximum number of hours the plane will travel at that speed.

Answers

Maximum time = 0.914 hour , Minimum time = 1.28 hour

Speed is determined by dividing the distance traveled by the time taken to travel it. It gives the amount of time it took to travel a certain distance divided by the distance traveled.

Speed is inversely correlated with time and directly correlated with distance. Hence, Speed X  time equals distance, and

Time is calculated as Distance / Speed; as speed increases, time decreases and vice versa.

Distance = speed  x  time

Maximum speed =  150 +25

                              = 175 miles/ hour

Minimum speed = 150 - 25

                              = 125

Distance = 160 miles

Maximum time = 160/175

                              = 0.914 hour

Minimum time = 160/125

                           = 1.28 hour

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11 and of 1/4 added to 3 and of 1/2

Answers

Answer:

11 1/4 + 3 1/2

45/4 + 7/2

(45+14)/4

59/4

14 3/4

help me pleaseeeeeeeeee.

Answers

It’s the one that says +3

Answer:

y = x + 3

Step-by-step explanation:

The difference between 1 and 4 is 3

The difference between 2 and 5 is 3

The difference between 3 and 6 is 3

The difference between 4 and 7 is 3

So our answer will either be x= y-3 or y=x+3

Since y=x+3 is the only option that matches the table it must be the answer

Hope this helped and have a good day

Florencia depositó algún dinero en una cuenta en la que ganaba interés.

La tabla a continuación nos muestra la cantidad en la cuenta en distintos momentos.



AYUDAAAA PORFA

Answers

Usando una función lineal, tenemos que:

Con cada año adicional, la cantidad en la cuenta es incrementada en 60.

¿Qué es una función lineal?

Una función lineal es modelada por:

y = mx + b

En el cual:

m es la pendiente, que es la tasa de cambio, es decir, cuánto cambia y cuando x cambia en 1.b es la intersección con y, que es el valor de y cuando x = 0, y también se puede interpretar como el valor inicial de la función.

En este problema, hay que la pendiente es de 60, puesto que en cada año la cantidad aumenta en $60, por eso:

Con cada año adicional, la cantidad en la cuenta es incrementada en 60.

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Ian wants to promote his band on the internet. site a offers website hosting for $5 per month with a $50 start-up fee. site b offers website hosting for $15 per month with no start-up fee. for how many months will site b be less expensive than site a?

Answers

For 5 months site b be less expensive than site a.

From the given question we get to know that on-site $50 is a must and %5 will be paid per month, and on-site b $15 will be per to promote his brand and there is no start-up fee.

Let's take the n to be x.

We have to find how many months will b site be less expensive than site a.

So total expenses for site a = 50 + 5x

and total expenses for site b = 15x

We get an equation

50+5x =15x

10x=50

x=5

Therefore for 5 months site b will be less expensive than site a.

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