jackson bikes 2 miles in 15 mins at that rate how many miles will a bike in 45 mins

The starting number of Michael's thought is 96

From the question, the given parameters are:

The above sequence of statements can be represented as

x * (100÷8) + 6.50 = 1206.5

Where x represents the number

So, we have

x * (100÷8) + 6.50 = 1206.5

Evaluate the quotient

x * 12.5 + 6.50 = 1206.5

Subtract 6.50 from both sides

x * 12.5 = 1200

Divide both sides by 12.5

x = 96

Hence, the initial number is 96

Read more about equations at

https://brainly.com/question/21405634

#SPJ1

Given the set of numbers:

To be able to determine their correct ascending order, we must first make all the numbers into similar forms.

Let's convert a

Part (a) Using only the data from the first and last years, build a linear model to describe the cost of individual health insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0).

we have the ordered pairs

(1999, 2,196) -------> (0,2,196)

(2019,7,186) -------> (20,7,196)

Find out the slope

where

t -----> is the number of years since 1999

P ----> the cost

m=(7,196-2,196)/(20-0)

m=5,000/20

m=250

Find the equation of the linear model in slope-intercept form

P=mt+b

we have

m=250

point (0,2,196)

substitute and solve for b

2,196=250(0)+b

b=2,196

therefore

P=250t+2,196

Part b

Using this linear model, predict the cost of insurance in 2030

For t=2030=2030-1999=31 years

substitute

P=250(31)+2,196

P=$9,946

Part c

According to this model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).

For P=$12,000

substitute in the linear model

12,000=250t+2,196

250t=12,000-2,196

250t=9,804

t=39 years

therefore

1999+39=year 2038

Part d

Using a calculator or spreadsheet program, build a linear regression model to describe the cost of individual insurance from 1999 onward. Use t to represent years after 1999 (treating 1999 as year 0), and round the values of

P0 and d to the nearest dollar

using a regression calculator

the equation is

ŷ = 239.15065X + 2406.39827

y=239x+2,406

Part e

Using the regression model, predict the cost of insurance in 2030

For t=2030-1999=31 years

P=239(31)+2,406

P=$9,815

Part f

According to the regression model, when do you expect the cost of individual insurance to reach $12,000? Give your answer as a calendar year (ex: 2020).

For P=$12,000

substitute

12,000=239x+2,406

239x=12,000-2,406

239x=9,594

t=40 years

year=1999+40=2039

Answer:

The total T can be described as

[tex]T = (B+(B*.15))+1[/tex]

Answer:

Step-by-step explanation:  

So briefly corresponding angles are angles that have the same position as another angle on the same figure. In your example there a multiple figures. The only pair that is NOT a corresponding angle is 1 and 11 because they have no lines in common they are not on the same figure! Hope this helps!

SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

The details of the solution are as follows:

The sum of interior angles of a polygon is:

CONCLUSION:

The final answer is:

The solution to the equation given as 4(3m + 1) − 2m = −16 is m = -2

The equation is given as

4(3m + 1) − 2m = −16

Open the brackets in the above equation

So, we have

12m + 4 − 2m = −16

Collect the like terms in the above equation

So, we have the following equation

12m − 2m = −16 -4

Evaluate the like terms in the above equation

So, we have the following equation

10m = −20

Divide both sides by 10

m = -2

Hence, the soluton is m = -2

Read more about equations at

https://brainly.com/question/2972832

#SPJ1

As per the concept of division, they sold 271 cookies boxes per day and there are 6 cookies are remained.

Division:

Division means splitting of a large group into smaller groups such that every group will have an equal number of items.

There are four parts of the division, which are dividend, divisor, quotient, and remainder.

Given,

The Tasty Cookies Factory has a new robotic oven that produces 3,258 cookies each day. They sell the cookies in boxes of 12 cookies each.

Here we need to find the number of boxes sold per day.

Through the given question we know that,

Number of cookies per day = 3,258

Number of cookies in one box = 12

So, the dividend is 3,258 and the divisor is 12.

So, the number of boxes per day is illustrated using the following diagram.

Based on these, there are 271 boxes are sold per day with 6 remaining cookies.

To know more about Division here.

https://brainly.com/question/21416852

#SPJ1

The largest possible value in the list is 35.

What is mean, median and mode?

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean. An average is most frequently used to refer to this. The middle value in a list that is arranged from smallest to greatest is called the median. The value that appears the most frequently on the list is the mode.

Given: There is a list of 11 positive integers.

Has a mean of 10, a median of 9 and a unique mode of 8.

Since the mode (8) is less than the median (9), the mode can only appear (at most) 5 times since the mode is the 6th number in the list (assuming the list has been sorted in ascending order).

If so, the first five numbers can be 8, the following four numbers can be 9, and the next greatest number can be 10, which means the largest number must be 110 - (8 x 5 + 4 x 9 + 10) = 110 - 86 = 24.

The largest number must be 110 - 77 = 33 if the mode repeats just twice, in which case we can let the first ten numbers be 1, 2, 3, 8, 8, 9, 10, 11, and 13, totaling 77.

The biggest number in this scenario is 110 - 75 = 35 if the mode repeats itself three times. Alternatively, we can let the first ten numbers be 1, 1, 8, 8, 8, 9, 10, 10, and 11 totaling 75.

Therefore, the largest possible value of an integer in the list is, 35.

To know more about mean, median and mode, click on the link

https://brainly.com/question/14532771

#SPJ4

Answer: Undefined

Step-by-step explanation:

There is not enough information to complete the task.

Answer:

Jonathan and Seth

Step-by-step explanation:

multiple the laps by 2 youll get the minutes

My first step is to draw a picture

We know that the length is 2 times the width

L = 2w

We are given a width of 4.6 yards

L = 2(4.6) = 9.2 yards

We can find the area by using the formula

A = l*w

A = 9.2 * 4.6

A =42.32 yd^2

The cosine ratio is given by the following formula:

The adjacent leg of angle Z is side ZY=12 and the hypotenuse of the triangle is the side XZ=20, thus the cosine ratio of Z is:

Answer: [tex]\angle 2=83^{\circ}[/tex]

Step-by-step explanation:

By the alternate interior angles theorem,

[tex]5x+2=3x+40\\\\2x=38\\\\x=19[/tex]

This means that [tex]5x+2=3x+40=97[/tex].

Since [tex]\angle 2[/tex] and the [tex]97^{\circ}[/tex] form a linear pair, they add to 180 degrees. So, [tex]\angle 2=83^{\circ}[/tex]

Answer:

y = 1/2x - 5

Step-by-step explanation:

The y intercept is negative 5. The line slowly goes one point up and two points to the right, staying positive. This makes it 1/2.

The value of x in the given equation is 24.

Given equation:

(2/3)x + 4 = (5/6)x

We have to find the value of x by eliminating the fraction.

Fraction

Fraction is  termed as a portion or section of any quantity. It is denoted by using ‘/’ symbol, such as a/b. For example, in 2/4 is a fraction where the upper part denotes the numerator and the lower part is the denominator.

LCM (3,6) = 6

Multiplying the whole equation by 6, we get:-

(2/3)x*6 + 4*6 = (5/6)x*6

4x + 24 = 5x

5x - 4x = 24

x = 24

Hence, the value of x is 24.

To learn more about Fraction, here:-

https://brainly.com/question/10354322

#SPJ1

The slope of the line secant to the curve g(x) = - x² + 8 is equal to m = - (2 + h).

A secant line is a line that passes through a curve in two places, the formula for the slope of the secant line is described below:

m = [f(a + h) - f(a)] / [(a + h) - a]

m = [f(a + h) - f(a)] / h

If we know that f(x) = - x² + 8 and a = 1, then the equation for the slope of the secant line is:

m = {[- (1 + h)² + 8] - (-1² + 8)} / h

m = (- 1² - 2 · h - h² + 8 + 1² - 8) / h

m = (- 2 · h - h²) / h

m = - 2 - h

m = - (2 + h)

The slope of the line is equal to m = - (2 + h).

To learn more on secant lines: https://brainly.com/question/14438198

#SPJ1

We need to convert 40 degrees to radians:

Then, we need to use the next equation:

Solve it:

Hence, 40 degrees is equal to 2/9π radians.

The system of equations has one solution, so it is consistent and independent, the correct option is C.

Here we have the system of equations:

x = 5

y = 6

-x - y + z = 0

By replacing the first and second equations into the third one, we get:

-5 - 6 + z = 0

-11 + z = 0

z = 11

So the solution is (5, 6, 11)

So it is consistent, and it is independent as clearly, the equations are linearly independent (system of 3 equations with 3 variables having only one solution).

Then the correct option is C.

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

no solutions

Step-by-step explanation:

2x - y = 3 → (1)

- 4x + 2y = 5 → (2)

multiply (1) by 2 and add to (2)

4x - 2y = 6 → (3)

add (2) and (3) term by term

0 + 0 = 11

0 = 11 ← not possible

this indicates the system has no solution

ANSWER:

STEP-BY-STEP EXPLANATION:

In this case, we can make a proportion, since we know the time when there are 5 people, we need to know the time when there are two people

solving for x:

Answer:

x = no of people in a small car

y = number of people in a van

Explanation:

The relevant information in the problem is that the total number of people is 27 and that the small car costs $10 and the large van $15.

If we call x the number of people in a small car, and y the number in the large van then the following equations can be obtained

The first equation simply says that the total number of people is 27 and the second equation says that the total cost of the trip is $80.

Hence,

x = no of people in a small car

y = number of people in a van

Leah would like to earn at least $120 per month. This expression means she ould like to earn $120 as a minimum and possible higher than that. In other words, she wants to earn either 120 or above that. If the number of hours she babysits is x, and the number of hours worked at the ice cream shop is y, then her earnings as per x and y woud be;

The red graph represents x + y =<20

The blue graph represents 5x +8y =>120

Observe that the region where the blue and red are "mixed" together represent the solution region.

Option A (4, 15)

Option B (5, 12) and

Option C (10, 9) are possible solutions

Answer:

24

Step-by-step explanation:

-6*(-4)

The negative signs cancel:

6*4

24

According to the normal distribution table, the probability that their mean blood pressure will be less than 127 is 99.38%.

Given :

Blood pressure readings are normally distributed with a mean of 125 and a standard deviation of 8.

The formula of z-score is used to determine the probability that their mean blood pressure will be less than 127. The formula of z score is given by:

[tex]z = \frac{\frac{x - m}{\alpha } }{\sqrt{n} }[/tex]

Now, substitute the values of known terms in the above equation.

[tex]z = \frac{\frac{127 - 125}{8} }{\sqrt{100} }[/tex]

[tex]z = \frac{\frac{2}{8} }{10} }[/tex]

Further, simplify the above expression.

z = 2.5

P(z < 2.5) = 0.9938

So, the probability is 99.38%.

Therefore, according to the normal distribution table, the probability that their mean blood pressure will be less than 127 is 99.38%.

To learn more about probability refer here:

https://brainly.com/question/25870256

#SPJ1

The measure of the angle PRS is given as follows:

m<PRS = 45º.

As stated in this problem, these following angles are given:

MRQ and and QRN form a ray, hence they are supplementary angles.

For supplementary angles, the sum of the measures is of 180º, hence the measure x of angle QRN is calculated as follows:

142 + x = 180

x = 180 - 142

x = 38º.

The entire diagram forms an angle of 360º, hence:

142 + 38 + 90 + m<MRS = 360º.

270 + m<MRS = 360º

m<MRS = 90º.

The segment PR bisects the angle MRS, dividing into two angles of 90º/2 = 45º, as a bisection of an angle basically splits the angle in half hence these following measures are identified:

The diagram is given by the image at the end of the answer.

More can be learned about measures of angles at https://brainly.com/question/25716982

#SPJ1

When 2 to the power of hundred is divided by 5 it show s remainder of 1

2 to the 100th power is solved as follows

2 ^ 100 = 1.2676506 * 10^30

This is solved using a calculator and the solution means that

2 * 2 * 2 * 2 * 2 * 2 * 2 * 2...............2   (2 multiplying itself till the number of 2's are up to 100)

This gives the value = 1.2676506 * 10^30

Division of the  2^100, by 5

2^100 / 5

2^1 / 5 remainder =2

2^2 / 5 remainder = 4

2^3 / 5 remainder = 3

2^4 / 5 remainder = 1

2^5 / 5 remainder = 2

2^6 / 5 remainder = 4

2^7 / 5 remainder = 3

2^8 / 5 remainder = 1

2^9 / 5 remainder = 2

2^10 / 5 remainder = 4

2^11 / 5 remainder = 3

It can be seen that it generates a pattern which is

The pattern counts in 4's. If we follow the pattern and count to 2^30

= 100 / 4

= 25 ⇒ this is a multiple of 4 and multiples of 4 goes with remainder 1

This is to say

2^97 / 5 remainder = 2

2^98 / 5 remainder = 4

2^99 / 5 remainder = 3

2^100 / 5 remainder = 1

Hence 2^100 divided by 5 will give a remainder of 1

Read more on exponents: https://brainly.com/question/109611

#SPJ1

Answer:

0.00067

Step-by-step explanation:

You always want the period to the right of the first number meaning you’ll start from there counting backwards because it is negative.

Answer:15216.31 Fluid Ounces

Step-by-step explanation:

Answer: the answer is -4280

Step-by-step explanation: