elena bikes 20 minutes each day for exercise write and equation to describe the relationship between her distance in miles d and her biking speed in miles per hour when she bikes at a constant speed of 15 miles per hour for the first 5 minutes then at 12 miles per hour for the last 15 minutes

Answers

Answer 1
Answer:
The equation to describe the relationship between Elena distance:
a) D = 4.34 miles, b) D = 4.25 miles and c) 12D = M + 3N miles.
Solution:
Given, Elena bikes 20 minutes each day for exercise.
We have to write an equation to describe the relationship between her distance in miles, D, and her biking speed, in miles per hour,
We know that, distance travelled = speed time
a. At a constant speed of 13 miles per hour for the entire 20 minutes
Her speed is 13 miles per hour.
Then, distance D miles = 13 miles per hour 20 minutes

b. At a constant speed of 15 minutes per hour for the first 5 minutes, then at 12 miles per hour for the last 15 minutes
Now, total distance travelled = distance travelled with 15 mph + distance travelled with 12 mph

c. At a constant speed of M miles per hour for the first 5 minutes, then at N miles per hour for the last 15 minutes
Now, total distance travelled = distance travelled with M mph + distance travelled with N mph



Hence, a) D = 4.34 miles, b) D = 4.25 miles and c) 12D = M + 3N miles.

Related Questions

Can someone please help me I don’t get this (Due today)

Answers

Answer:

Which grade's book exercise is this?

28. Ashton is hosting a banquet. He plans to spend $400, plus/minus $50, at a
cost of $25 per guest,
a. Find the maximum and minimum number of guests.
b. If there can be up to 7 guests per table, what is the minimum number of
tables Ashton should reserve so everyone has a seat?

Answers

Answer:

If he can spend $400 +- $50 ($350 or $450) the maximum number of guests at $25 each is 18 and the minimum is 14. If there can be up to 7 guests, he should prepare to have at least 3 tables to ensure everyone gets a seat if he goes with the $450 option.

Step-by-step explanation:

Please mark Brainliest if this helped :)

Division is one of the four fundamental arithmetic operations. The minimum number of tables Ashton should reserve so everyone has a seat is 2.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Ashton's budget is $400±50. Therefore, the maximum and the minimum budget that Ashton can spend on the banquet are,

Maximum budget = $400 + $50 = $450

Minimum budget = $400 - $50 = $350

A.) Now, the maximum guest will cost the maximum budget, therefore, we can write

Maximum guest = Maximum budget / Budget per guest

                           = $450 / $25

                           = 18

Minimum guest = Minimum budget / Budget per guest

                           = $350 / $25

                           = 14

B.) Since the minimum number of guests that can come to the banquet is 14, and only 7 people can seat at a table, therefore, the minimum number of tables Ashton should reserve so everyone has a seat is 2.

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Point N is on line segment \overline{MO}
MO
. Given MN=2x,MN=2x, NO=x-2,NO=x−2, and MO=2x+9,MO=2x+9, determine the numerical length of \overline{MN}.
MN
.

Answers

Answer:

 NO = 10

Step-by-step explanation:

The segment addition theorem tells you ...

 MN + NO = MO

Substituting the given expressions for these lengths, we have ...

 x + 5x = 3x+6

 3x = 6 . . . . . . . . . subtract 3x

 x = 2 . . . . . . . . . . divide by 3

We can use this value to find the length NO:

 NO = 5x = 5(2) . . . . substitute for x

 NO = 10

Evaluate with help of distributive property :
i. 425 x 136 ii. 4005 x 67

Answers

Answer:

1 : 57,800.

2: 268,335

Step-by-step explanation:

hope it helps you

The expressions are evaluated using distributive property below -

We have -

i. 425 x 136

ii. 4005 x 67

We have to evaluate them with help of distributive property.

State the  property of distributivity of multiplication over addition.

Distributive property of multiplication over addition :  

a × (b + c) = a × b + a × c

According to question, we have -

i. 425 x 136

ii. 4005 x 67

Now -

425 x 136 = 425 x (6 + 30 + 100) = 425 x 6 + 425 x 30 x 425 x 100

and

4005 x 67 = 4005 x (60 + 7) = 4005 x 60 + 4005 x 7

Hence, the evaluation using distributive property is done.

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f(x)=1/x; Find f(1/2)​

Answers

Answer:

2

Step-by-step explanation:

f(x) = 1 / x

f(1/2) = 1 / (1/2)

Reciprocal of 1/2 is 2, since you flip numerator and denominator:

f(1/2) = 2

Pre-Calc HELPP I’ll give brainliest

Answers

The answer is: 1/3 (5)

Find the equation of the line that is perpendicular to y=1/6x+3 and contains the point (-3,23)

Answers

It would be 1/6x+3(-3,23)


What is the ratio of all the what is the ratio of all the
marbles to yellow marbles? State the letter of the correct answer.
A. 2:15
B. 1:15
C. 15:1
D. 15:2

Answers

i dont know about all the marbles
i think choose A or B
The question is incomplete….u want to put whole the question…

IN A GIVEN FIGURE ABCD IS A SQUARE THE MEASURE OF ANGLE DBC IS

Answers

Answer:

Where is figure. Hope you understand me

Step-by-step explanation:

Please mark me brainliest thanks

I Need to solve it brainliest

Answers

Answer:

h(-5) = (-2)^2 + 5 = 9

h(-1) = (2)^2 + 5  = 9

(9-9)/4 = 0

average rate of change is 0

Step-by-step explanation:

cb-b; use b = - 3, c = - 1​

Answers

Answer:

6

Step-by-step explanation:

Let b= - 3, c= - 1cb - b = ?(-1)(-3) - (-3) = ?3 - (-3) = 6

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Which table shows a linear function?
O
-3
-3.
1
2
-2
2
5
X
3
0
O
-3
-2
1
2
-3
-5
x х
y
-3
-1
0
2
0
2
3
5

Answers

Answer:

Its the 3rd one,

Step-by-step explanation:

Because the X (Multiplier) is 1 and the Y (Initial starting point) is 3 so if you plug the numbers in, you'll get linear answers. :)

<3 and <4 are supplementary angles. Given m<3 = 56°, find m<4.

Answers

m<3=56°m<4=?

Both are supplementary angles.

[tex]\\ \rm{:}\twoheadrightarrow m<3+m<4=180[/tex]

[tex]\\ \rm{:}\twoheadrightarrow 56+x=180[/tex]

[tex]\\ \rm{:}\twoheadrightarrow x=180-56[/tex]

[tex]\\ \rm{:}\twoheadrightarrow x=124[/tex]

find the decimal equivalent of the fraction 1/6

Answers

Answer:

0.16666666666

Step-by-step explanation:

hi please help i’ll give brain

Answers

Answer:

The GCF is going to be 2

Step-by-step explanation:

This Is how I find the GCF of 3 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 8, 2 × 2 × 2 = 8

The prime factorization of 18, 2 × 3 × 3 = 18

The prime factorization of 70, 2 × 5 × 7 = 70

The one and THE only common factor is 2, which is going to be the GCF

Is √5x - 12 = 0 nonlinear or linear?

Answers

Nonlinear because in order to be linear, it has to be a straight line. In order to be a straight line, the degree must be 0 or 1 for each of its variables. This does not meet that criteria, thus being non linear

d = 6 and e = 2
4e + d + 12 - 2e

Answers

Answer:22

Step-by-step explanation:

4*(2) + (6) +12 - 2*(2)=

8 +6 +12 -4=

14 +8= 22

Answer: 22

Step-by-step explanation:

Amelia drives 10 miles in 20 minutes. If she drove three hours in total at the same rate, how far did she go? subquestion - how many minutes did she drive in total

Answers

Answer:

Amelia drove 90 miles in 3 hours.

Step-by-step explanation:

she drove 10 miles in 20 minutes

we multiply this by 3, and get

30 miles in an hour ( 60 minutes)

then we multiply this by 3 and get

90 miles in 4 hours (180 minutes) :)

if the area of a right angle triangle with base 3 cm is 6cm find the height​

Answers

Answer:

A=1/2 Bh

6cm^2=1/2.3cm.h

12cm^2=3cmh

H=4cm

Can someone help me please?

Answers

Answer:

Associative property.

Step-by-step explanation:

[tex]assosiative \: property \\ for \: any \: nubers \: likeur \: question \: \\ didnt \: affect \: theanswer \\ thank \: you[/tex]

Calculate the volume of a warehouse that has inside dimensions of 22.4 meters by 11.3 meters by 5.2 meters.

Answers

I think it should be 1316.22 cubic meters

The volume of the warehouse with the three dimensions is V = 1,316.224 cubic meters.

Given data:

To calculate the volume of the warehouse, you need to multiply its length, width, and height:

Volume = Length *  Width * Height

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Given the dimensions:

Length = 22.4 meters

Width = 11.3 meters

Height = 5.2 meters

Substitute these values into the formula:

Volume = 22.4 m × 11.3 m × 5.2 m

Calculate the result:

Volume = 1,316.224 m³

So, the volume of the warehouse is approximately 1,316.224 cubic meters.

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through: (1, 1), slope = 6

Write the slope-intercept form of the equation of the line through the given point with the givenslope.

Answers

Answer:

[tex]y=6x-5[/tex]

Step-by-step explanation:

Hi there!

Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept

We're given that the slope is 6. Plug this into [tex]y=mx+b[/tex] as m:

[tex]y=6x+b[/tex]

Now, to solve for the y-intercept, plug in the point (1,1) and solve for b:

[tex]1=6(1)+b\\1=6+b\\b=-5[/tex]

Therefore, the y-intercept of the line is -5. Plug this back into [tex]y=6x+b[/tex]:

[tex]y=6x+(-5)\\y=6x-5[/tex]

I hope this helps!

Convert 99000 milligrams into pounds. Round your answer to the nearest hundredth.

Answers

Answer:

0.22

Step-by-step explanation:

Math For test HELPPPP plz due in 45 mins

Answers

It’s BD because it need to be the opposite ray and this one is the opposite ray so yes this is it

six boys went on a camping trip . their equipment weight was138 kg if the equipment was divided equally in weight how much did each boy carry

Answers

Answer:

138 kg / 6 = 23 kg per boy

There are 1024 bytes in a kilobyte. Write an expression that describes the number of bytes in a computer chip with n kilobytes. helpppp ​

Answers

Bytes are used to represent the number of bits in a computer system. There are 1024n bytes in n kilobytes.

Using the following representation:

[tex]KB \to[/tex] Kilobyte

[tex]B \to[/tex] Bytes

1024 bytes in 1 kilobyte is represented as:

[tex]1024B = 1KB[/tex]

Let the number of bytes in n kilobytes be x.

So, we have:

[tex]x = n\ KB[/tex] and

[tex]1024B = 1KB[/tex]

Cross multiply

[tex]x \times 1KB = 1024B \times nKB[/tex]

Divide both sides by KB

[tex]x \times 1 = 1024B \times n[/tex]

[tex]x = 1024n\ B[/tex]

Remove the units for proper representation

[tex]x = 1024n[/tex]

Hence, there are 1024n bytes in n kilobytes

Read more about bytes at:

https://brainly.com/question/1832188

Answer: 1024n

Step-by-step explanation:

Three of eight kids in a class are randomly chosen to present their book reports today. How many different possible sequences of three presentations are there?
A. 56
B. 120
C. 336
D. 512

Answers

512 just because it’s the right answer

A library wishes to build an access ramp for wheelchairs. The main entrance of the library is 8 ft. above sidewalk level. If the architect recommends a grade (angle of elevation) of 6°, how long must the access ramp be?​

Answers

Answer:

About 76.5 ft.

Step-by-step explanation:

Draw a diagram of a right triangle.  The shorter leg represents the height of the main entrance of the library, which is 8 ft.  The longer leg won't matter in this case.  The hypotenuse is what we're trying to find, so mark it as x.  We know there's a 6° angle of elevation, so the 30° angle of the triangle will be 6° in this case.  Now we have to use trig.  Think of Soh Cah Toa.  The 6° is opposite from 8 and the hypotenuse is x.  So, the equation to find x would be:

sin (6°) = 8/x

Multiply both sides by x

sin (6°) * x = 8

Divide both sides by sin (6°)

x = 8/sin (6°)

When putting it into a calculator, your answer should be 76.534, which rounds to 76.5 ft.

Which does not represent an integer?


Question 1 options:


−182


45


9–√


0

Answers

Answer:

9 minus a square root is the answer I think...

Step-by-step explanation:

Integers are all positive&negative numbers + 0

Can any one tell me this i have to do this for my tomorrow school

Answers

Answer:

Step-by-step explanation:

5068300- five million, sixty-eight thousand, three hundred

472607- four hundred seventy-two thousand, six hundred seven

51325678- fifty-one million three hundred twenty-five thousand six hundred eighty-seven

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