Maria is in the state park riding her bike on the new bike trail. She starts at the beginning of the trail and rides for 4 miles. After the first 4 miles, her friend Aiden joins her and they ride the rest of the trail. By the end of the trail, Maria has been riding for two and half hours, while Aiden has been riding for two hours. Assuming they are both riding their bikes at a constant speed the entire time, how long is the bike trail?​

Answer:

x = 2sqrt(5)   or   x = -2sqrt(5)

Step-by-step explanation:

5x^2 - 12 = 88

5x^2 = 100

x^2 = 20

x = +/- sqrt(20)

x = 2sqrt(5)   or   x = -2sqrt(5)

Answer:

[tex]x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]

Step-by-step explanation:

Given equation: [tex]5x^2-12=88[/tex]

Step 1: Add 12 to both sides.

[tex]\\\implies 5x^2-12+12=88+12\\\\\implies 5x^2=100[/tex]

Step 2: Divide both sides by 5

[tex]\\\implies\dfrac{5x^2}{5}=\dfrac{100}{5}\\\\\implies x^2=20[/tex]

Step 3: Take the square root of both sides (positive and negative roots).

[tex]\\\implies \sqrt{x^2}=\sqrt{20}\\\\\implies x=\pm\ \sqrt{20}[/tex]

Step 4: Simplify.

[tex]\\\implies x=\pm\ \sqrt{4\times5}\\\\\implies x=\pm\ 2\sqrt{5}[/tex]

Step 5: Separate into two cases.

[tex]\implies x_1=-2\sqrt{5},\ x_2=2\sqrt{5}[/tex]

Another example:

https://brainly.com/question/20778317

Answer: Numbers between 5 and 16 are:-

6, 7, 8, 9, 10, 11, 12, 13, 14 , 15 and 16.

Therefore, total number of outcomes =11

Numbers inclusive between 5 and 16 which are divisible by 2 or 3 are-

6 , 8, 9 ,10 ,12, 14 and 15.

Number of favourable outcomes = 7

Therefore, probability of getting a number which is either a multiple of 2 or 3 is:

p(e) = \frac{7}{11}p(e)=

11

7

HENCE, THE REQUIRED PROBABILITY IS = 7 / 11.

Step-by-step explanation: does this help?

Answer:

D. 75

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

So timing a fraction with a fraction smaller by 1 means its a proper fraction.

And it can't get bigger than it already is because it's timing a less than 1 itself.

So it's A, it will be smaller

Answer:

28%

Step-by-step explanation:

1) 25-18=7(your decreased value)

2) 7(decreased value of miles ran)/25(overall number of miles ran)

3) 7/25*4/4 (this will make the denominator 100)=28/100=28%

Answer: 7.1

Step-by-step explanation:

Exponential functions: y=ab^x

A = starting value

R= rate ex: 3% = .03

B= 1 + r

Then write your exponential function

Answer:

Coronavirusss

Step-by-step explanation:

Stay at home :D

Answer:

1

Step-by-step explanation:

Who knew the answer would be 1 LOL

hope this helps :)

Answer:

1 gigabyte

Step-by-step explanation:

70-65.50=4.5

The maximum whole number of gigabytes of data she can use while staying within her budget 2 gigabytes.

A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now given that,

Flat cost per month = $65.50

Cost per gigabyte = $4

Let x be the total gigabytes she uses in a month.

Thus, Cost of gigabytes of month = 4x

So, total bill of the month = 65.50 + 4x

Now  since, Hannah wants to keep her bill under $70 per month

⇒ 65.50 + 4x ≤ 70

Subtracting 65.50 both the side we get,

4x ≤ 70 - 65.50

⇒ 4x ≤ 4.50

Dividing 4 both the side we get,

⇒ x ≤ 1.125

Since she has to pay for the whole gigabytes

⇒ x ≤ 2

which is the required gigabytes she can use to keep her bill $70.

Thus, the maximum whole number of gigabytes of data she can use while staying within her budget is 2 gigabytes.

To learn more about inequality :

https://brainly.com/question/13363104

#SPJ2

Answers

Located In The Following Attachments

High Hopes

                    Barry-

Answer:

you would just do 2/3*-6-1= -5

and you would fill in the numbers in the x column and solve

5-1/2*-2=6

and you would replace x with the number in the x column

(ik i already helped you on this lol)

have a great day/night

Answer: 3.5 , 2 1/2 , 5, 7, 11, π

Step-by-step explanation:

i hope i said those right

Answer:2,1

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

22 minutes. (rounded)

Step-by-step explanation:

Ok so what your going to do is just divde.

You divide and get 21.7

So round it and you will get 22 minutes.

Answer:

no 4=f

Step-by-step explanation:

dwfn sdv and it appers to be marys age ;)

think before you do something rude

Answer:  

C. Solve m + 6 = 5m - 10  

Step-by-step explanation:  

Wilson is 6 years older than Mary.  

(MARY's age + 6 = WILSON's age)  

Wilson's age is 10 years less than five times Mary's age.  

(MARY's age * 5 - 10years = WILSON's age)

(Mary is 4 years old and Wilson is 10:  

4 + 6 = 10  

4(5) = 20 - 10 = 10  

just in case you were curious)

Good luck!!

Answer:

See below

Step-by-step explanation:

The phrase itself is a famous few lines extracted from "The Road Not Taken" by poet Robert Frost. The statement "taking the road less traveled" means that someone is acting independently, freeing themselves from the conformity of others (who choose to take 'the road more often traveled.'), generally making their own choices, and perhaps leaving a new trail that will become the road more often traveled

Answer:

Thus, the number of sides: n ≈ 13  (rounded to the nearest whole number).

Step-by-step explanation:

We know that the formula of the sum of the measures of the interior  angles of a polygon

Sum = (n-2) × 180°

where

n is the number of sides

In your case, since the sum of the interior angles is 1930°, then

1930° = (n-2) × 180°

so we can determine the number of sides n, such as

1930 / 180 = n-2

[1930 / 180] + 2 = n

n ≈ 12.7

If 12.7 rounded to the nearest whole number, then

n ≈ 13

Thus, the number of sides: n ≈ 13 (rounded to the nearest whole number).

Answer:

Annual interest rate for this loan. Interest is calculated monthly on the current outstanding balance of your loan at 1/12 of the annual rate.

Monthly loan payment is $400.76 for 60 payments at 7.5%.

Step-by-step explanation:

Calculate:PaymentAmount

?Loan amount:*Enter an amount between $0 and $100,000,000

$20,000

?Monthly payment:

$401

?Interest rate:*Enter an amount between 0% and 25%

7.5%

?Term in months:*Enter an amount between 1 and 480

60

Total interest paid:$4,045.51

Total payments:$24,045.51

Given:

Savings for each week = $25

Amount required before Carlos purchase a car = $565

To find:

The number of full weeks in which he will have enough money to purchase the car.

Solution:

Let the required number of weeks be x.

Savings for 1 week = $25

Savings for x week = $25x

Savings must be greater than equal to $565 to purchase the car.

[tex]25x\geq 565[/tex]

Divide both sides by 25.

[tex]x\geq \dfrac{565}{25}[/tex]

[tex]x\geq 22.6[/tex]

So, the smallest possible integer value of x is 23.

Therefore, 23 week are required to have enough money to purchase the car.

Answer:

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Step-by-step explanation:

Even if I don't know the options I can give all the option that will be right for expending this. Just look at each step and see which one is one of the options.

[tex](6x -6)^{2} = (6x +6)(6x +6) = 36x^{2} -72x + 36[/tex]

Answer:

Distributive property

Step-by-step explanation:

Here, we want to evaluate the property illustrated

From what we can see, we have that each of the inner values are multiplied by the outside value

This is simply a display of distributivity

We can conclude that we have a right distributive property in place here

Answer:

Between the two quantities, the sales have a longer increase rate for dollars than the bicycle has for speed, and the bicycle travel had a good speed rate, but slowed down the increased again.

Step-by-step explanation:

Answer:

you can use the slope intercept formula!

y2-y1/x2-x1

Step-by-step explanation:

lets take an example!

the coordinates of 1 point are (2,4) and the other point is (4,6)

so lets plug in (x1,y1) (y1,y2)y2 is the y intercept of second point so it is 6 minus y1 which is 4.

6-4/x2-x1

lets do same for x!

6-4/4-2

lets solve

2/2

=1

the slope is 1

Answer:

slope = 2

y-int = 3

Step-by-step explanation:

y-intercept can be determined by the coordinate (0,3) which is 3 units up from origin on the y-axis

slope can be determined by taking the difference of a pair of y-values and dividing it by the difference of the x-values

ex,  3 - 1    = 2

     0 - (-1)      1

or:   5 - 3  = 2

        1 - 0        1

Answer:

80

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

This is the answer because:

1) All the multiples of 5 are not multiples of 10 because multiples of 10 end in zeros and not all the multiples of 5 end in a zero.

Therefore, the answer is false.

Hope this helps! :D

Answer: false

Step-by-step explanation: say for instance 25 (5•5) is not a multiple of 10

Answer:

2

6,6,6,6,6,6=more than 5

7,7,7,7,7=has exactly 5 members

Answer:

a) [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]

b) [tex]\mathbf{f(g(9))=16}[/tex]

Step-by-step explanation:

We are given:

[tex]f(x)=(x-2)^2\\g(x)=\sqrt{x} +3[/tex]

We need to find  [tex]a) f(g(x))\\b) f(g(9))[/tex]

a) First finding: [tex]f(g(x))[/tex]

It can be found by putting the value of g(x) into f(x)

We are given:

[tex]f(x)=(x-2)^2\\Put\:x=g(x)\:i.e. \: x= \sqrt{x} +3\\f(g(x))=(\sqrt{x} +3-2)^2\\Now\: solving:\\f(g(x))=(\sqrt{x} +1)^2\\Using\:formula\:\mathbf{(a+b)^2=a^2+2ab+b^2}\\f(g(x))=(\sqrt{x})^2+2(\sqrt{x} )(1)+(1)^2\\ f(g(x))=x+2\sqrt{x} +1[/tex]

SO, we get: [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]

b) Now finding: [tex]f(g(9))[/tex]

It can be found by putting x=9 in f(g(x))

We have:

[tex]f(g(x))=x+2\sqrt{x} +1\\Put\:x=9\\f(g(9))=9+2\sqrt{9}+1\\We\:know\: \sqrt{9}=3\\ f(g(9))=9+2(3)+1\\f(g(9))=9+6+1\\f(g(9))=16[/tex]

So, we get: [tex]\mathbf{f(g(9))=16}[/tex]

Answer:

19200

brainliest if correct

Explanation

12% of 120,000 = 14400

14400x7 = 100800

120,000 - 100800 = 19200