Mike is training for a cross country bike ride. He rides his bike 60 miles, 66 miles, 70 miles, 60 miles, and 51 miles on the first five days of his training. How many miles does he need to ride on day 6 to average(mean) of 59 miles per day?

Answers

Answer 1

Answer:

47 miles

Step-by-step explanation:

The formula for Mean = Sum of values/Number of values

Number of values is 6

From the above question, we are only given 5 values,

The 6th value is represent as= x

Hence,

60 miles + 66 miles+ 70 miles+ 60 miles+ 51 miles + x miles/6 = 59 miles

Cross Multiply

60 miles + 66 miles+ 70 miles+ 60 miles+ 51 miles + x miles = 6 × 59 miles

307 miles + x miles = 354 miles

x miles = 354 miles - 307 miles

x miles = 47 miles

Therefore, the number of miles he need to run on day 6 is 47 miles


Related Questions

95 feet above sea level would be expressed by the

Answers

Answer:

Above sea level   x+95

Step-by-step explanation:

brainliest?

Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and
passing through the point (3, -12).

Answers

Answer:

y =  2*x^2 - 2*x - 24

Step-by-step explanation:

If we have a quadratic function with roots a and b, we can write the equation for that function as:

y = f(x) = A*(x - a)*(x - b)

Where A is the leading coefficient.

In this case, we know that the roots are: 4 and -3

Then the function will be something like:

f(x) = A*(x - 4)*(x - (-3) )

f(x) = A*(x - 4)*(x + 3)

Now we need to determine the value of A.

We also know that the graph of the function passes through the point (3, -12)

This means that:

f(3) = -12

Then:

-12 = A*(3 - 4)*(3 + 3)

-12 = A*(-1)*(6)

-12 = A*(-6)

-12/-6 = A

2 = A

Then the equation is:

y = f(x) = 2*(x - 4)*(x + 3)

Now we need to write this in standard form, so we just need to expand the equation:

y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)

y = f(x) = 2*(x^2 - x - 12)

y = f(x) = 2*x^2 - 2*x - 24

Then the relation is:

y =  2*x^2 - 2*x - 24

Over the weekend alex spent 5 2/3 hours total studying , if he spent 2 2/8 hours studying on saturday how long did he study on sunday

Answers

Answer: Alex spent 3 5/12hours studying on Sunday

Step-by-step explanation:

total hours spent studying in the weekend  =5 2/3 hour

Hours spent on saturday =2 2/8

Hours spent on sunday  =total hours spent studying in the weekend  - Hours spent on saturday=

=5 2/3 - 2 2/8

=3 16-6/24

=3 10/24

=3 5/12

Amber wants to go to a university where the tuition is $7500 per year. She has a scholarship that pays for 50% of his tuition. Her parents have given her $2000 toward her first year's tuition. How much money does Amber need to save to be able pay for first year of her college?

Answers

Answer:

1750

Step-by-step explanation:

divide 7500 by 2 and you get 3750

3750-2000=answer

Answer:

1750

Step-by-step explanation:

7500/2=3750 (amount paid by scholarship). This leaves her owing 3750 but her parents are paying 2000.

3750-2000=1750 needed to save.

What type of triangle is pictured?

A. Right and scalene

B. Obtuse and scalene

C. Acute and isosceles

D. RIght and isosceles

Answers

Answer:

I think it is either A or D

D

Recently was asked the same question

Please hurry, this is past due!

A triangle has an altitude with height 7 cm. Which of the following have a proportional relationship to the height? Select all that apply.

A.The perimeter
B.The sides
C.The angles
D.The area
E.The vertices

Answers

D. The answer is area

PLEASE I NEED HELP!! NO LINKS!!

Answers

Answer:

m<N = 32°

m(NQ) = 106°

Step-by-step explanation:

Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)

<N is an inscribed angle

It's intercepted arc = arc MP = 64°

Therefore,

m<N = ½(64°)

m<N = 32°

m<P = ½(m(NQ)) (inscribed angle theorem)

53° = ½(m(NQ))

Multiply both sides by 2

2*53° = m(NQ)

106° = m(NQ)

m(NQ) = 106°

Which of the points shown below are on the line given by the equation y = 2x? Check all that apply.

A. Point A: (1, 2)
B. Point B: (-1, -2)
C. Point C: (4, 2)
D. Point D: (0, 2)

Answers

Hey there I just saw no one answered this problem and I know this is a little late but I will answer it anyways.

Answer: The answer to this problem would be points A and B

8 (x + 4) = 62.4 what does x represent

Answers

Answer:

8 (3.8 + 4)

Step-by-step explanation:

x=3.8

What does the x represent. The x represent 3.8

Does anyone know this

Answers

Answer:Answer:

13.0feet

Step-by-step explanation:

Given ΔDEF with ∠F=90°, the measure of ∠D=19°, and DE = 40 feet, since one of the angles of the triangle is 90°, the triangle is a right angled triangle as shown in the attachment.

Using SOH, CAH, TOA to get the unknown EF.

Since <D is opposite to side EF, EF will be the opposite while side DE will be the hypotenuse

Based on SOH:

Sin<D = Opposite/Hypotenuse

Sin<D = EF/DE

Sin19° = EF/40

EF = 40sin19°

EF = 13.0 feet to the nearest tenth of a foot

factorise
3(m-4)+b(4-m)​

Answers

Answer:

-(m-4)(b-3)

Step-by-step explanation:

Add and subtract the second term to the expression and factor by grouping

Answer:

(m-4) (3-b)

Step-by-step explanation:

See the steps below:)

Simplify 3(-6+4) please

Answers

Answer:

−6

Step-by-step explanation:

3(−6+4)

=(3)(−2)

= −6

Hope this helps :)

Do the Brackets

-6+4=-2

Now multiply 3 and -2

3*-2=-6

You have your answer

-6

PLEASE HELP WITH ALL QUESTIONS WORTH ALOT OF POINTS

Answers

Answer:

1)  -311

2)  26 p^6 h^4

3) 18 x^2 y^5 z^7

4)  -20 c^4  

is correct answer.

i guess you dont know this '' ^ '' . this mean take that number in power,

All the best

Step-by-step explanation:

These are the correct answers for your questions

The product of a number and 3 is the sum of the number and 12. What is the number

Answers

Answer:

6

Step-by-step explanation:

3n = n + 12

2n = 12

n = 6

Answer:

6

Step-by-step explanation:

let the number be x , then

3x = x + 12 ( subtract x from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

That is the number is 6

thirty-six men can paint a shopping mall in 25 days. How many days will it take 15 men to paint the mall, if they work at a same rate?​

Answers

Answer:

12.5 days

Step-by-step explanation:

Given

No of workers= 30

Time taken to paint shopping mall= 25 days

Assume time taken for 15 men =X

Time taken for 15men to paint X= (15*25)/30

=12.5 days


I need help with this please help meeee:(!

Answers

Answer:

f=c+2

Step-by-step explanation:

f = c + 2Please let me know if I am wrong.

Please help we with this angle relationship

Answers

Answer:

x=5 30 degrees

Step-by-step explanation:

theres 90 degrees in the right angle and you already have 60 degrees so you know it has to equal to 90 degrees so it has to be 30 degrees and 6 x 5 is equal to 30

Meir is planting grass seed. He has 5 1/2 small bags of seed. Each bag weighs 3/4 pound.
What is the total weight of the grass seed?

Answers

Answer:

The total weight of the grass seed is [tex]\frac{33}{8}[/tex] pounds

Step-by-step explanation:

Given

Total bags of seeds [tex]= 5\frac{1}{2}[/tex]

Weight of each bag [tex]= \frac{3}{4}[/tex] Pounds

Total weight of the grass seed  = Total number of bags of seeds * Weight of each bag

Total weight of the grass seed  =

[tex]5\frac{1}{2} *\frac{3}{4} \\=\frac{11}{2}*\frac{3}{4}\\=\frac{33}{8}[/tex]Pounds

The total weight of the grass seed is [tex]\frac{33}{8}[/tex] pounds

Answer:

33/8= 4 1/8 so its B.

Step-by-step explanation:

How do I do this?
A squash patch currently has 120 pounds of butternut squash. For each additional day in the patch, the amount of butternut squash increases by 6 pounds. If the price of butternut squash is currently 80 cents per pound, but decreases by 2 cents each day, how long should the butternut squash grow to maximize the profit?

Answers

Answer:

the answer is 10 days

Step-by-step explanation:

just did it

After 10 days the butternut squash grow to maximize the profit.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

given:

let after x days butternut squash grow to maximize the profit

So, we have

Weight = 120 + 6x

Price=  0.80-.02x

We have no idea about profit, but the income is certainly

So, (120+6x)(0.80-0.02x)

= 14.4 - 2.4x + 4.8x - 0.12x²

= -0.12x² + 2.4x + 96

We get the parabola who vertex is (10, 108)

Hence, After 10 days the butternut squash grow to maximize the profit.

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ2

Find the median. 90, 88, 100, 82, 80.

Answers

Answer:

100 is the median for te above observations

HOPE IT HELPED

Answer:

The median is 88.

Step-by-step explanation:

1. Find the surface area of the prism.

2. Find the volume of the pyramid.

Answers

Answer:

1. surface area is 280 2. 144

Step-by-step explanation:

please mark as brainliest if correct

thank you

What does the a equal in this problem: 27 = 3°?​

Answers

Answer:

a= 3

Step-by-step explanation:

Find the area of the rhombus

Answers

Answer: Area= the surface included within a set of lines the number of unit squares equal in measure to the surface

the scope of a concept, operation, or activity : field

areaway

Step-by-step explanation:

answer:

60 in²

step-by-step explanation:

the formula for the area of a rhombus-

a= p*q/2

=15*8/2

=60 in ²

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Calculate the volume of a cylinder of diameter 6cm and height 10cm

Answers

Answer:

565.2

Step-by-step explanation:

565.2

Can someone pls tell me what the little symbol is pls.

Answers

Answer:

plus minus

Step-by-step explanation:

Answer:

-Symbol: ±

-Symbol Name: plus - minus

-Meaning / definition:  both plus and minus operations

~~~~~~~~~~~~~~~~~~~

-Example: 3 ± 5 = 8 or -2

                 3+5=8

                     or

                 3-5=-2

Angad was thinking of a number. Angad adds 11, then divides by 8 to get an answer of 5. What was the original number?

Answers

Answer:

29

Step-by-step explanation:

x+11÷8=5

5 × 8 = 40

40- 11 = 29

29 + 11 ÷ 8 =5

A rectangular park is 100 yards wide and 145 yards long.
Give the length and width of another rectangular park that has the same perimeter but a larger area.

Answers

Answer: width=295  lenght =295

Step-by-step explanation:perimeter=l plus l and w plus w

                                                               100 plus 100 plus 145 plus 145=490/2=245                    

Answer:

width = 110 yards

length = 135 yards

Step-by-step explanation: I think.

PLEASE HELP ASAP!! No explanation needed. Just yes or no please!

Answers

Answer: A) Yes, it is a solution.

=================================================

Explanation:

Replace every x with -3 and simplify both sides.

3x - 2 < 2 - 2x

3(-3) - 2 < 2 - 2(-3)

-9 - 2 < 2 + 6

-11 < 8

Since -11 is to the left of 8 on the number line, this means the inequality -11 < 8 is true. Consequently, it means the first inequality is true when x = -3.

Therefore, x = -3 is a solution.

Ten students participated in the 4 mile relay. Each student ran a fraction of the 4 miles. Chooses which line plot could represent the data of the runners. Explain your reasoning.

Answers

Answer:

B

Step-by-step explanation:

We can determine the total miles run by the 10 students by adding all the miles run by each individual student:

A

1 student * 1/12 miles = 1/12 miles

2 students * 1/8 miles = 2/8 miles = 1/4 miles

1 student * 1/6 miles = 1/6 miles

2 students * 1/4 miles = 2/4 miles = 1/2 miles

1 student * 1/3 miles = 1/3 miles

3 students * 1/2 miles = 3/2 miles

We add all these fractions to obtain 17/6, which is approximately 2.83, which is not as the question describes.

B

2 students * 1/6 miles = 1/3 miles

2 students * 1/4 miles = 1/2 miles

2 students * 1/3 miles = 2/3 miles

3 students * 1/2 miles = 3/2 miles

1 student * 1 mile = 1 mile

We add all these fractions to obtain 4 miles, which is as the question describes.

¿Cómo se suprimen los paréntesis en el cálculo (3 + 8) . 2 + 6 . (5 + 4), sin resolver las operaciones que ellos encierran? Aplicando la propiedad conmutativa Aplicando la propiedad asociativa Aplicando la propiedad distributiva Ninguna es correcta

Answers

Respuesta:

Aplicando la propiedad distributiva

Explicación paso a paso:

Sin resolver la operación contenida en el paréntesis, podríamos suprimir el paréntesis usando la propiedad distributiva, de modo que el factor fuera del paréntesis se use para multiplicar cada factor entre paréntesis:

(3 + 8). 2 + 6. (5 + 4)

Sin tener que ocuparnos de la operación de suma entre paréntesis, podemos extraer ambos valores mediante

2 * 3 + 2 * 8 + 6 * 5 + 6 * 4

6 + 16 + 30 + 24

= 76

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