For a ride on a rental scooter, Goran paid a $3 fee to start the scooter plus 11 cents per minute of the ride. The total bill for Goran's ride was $23.79. For how many minutes did Goran ride the scooter?

Answer:

Option C .

Step-by-step explanation:

We would like to solve the below quadratic equation ,

[tex]\longrightarrow f(x) = x^2-12x +32 [/tex]

Step 1 : Equate f(x) with 0 :-

[tex]\longrightarrow f(x) = 0\\[/tex]

[tex]\longrightarrow x^2-12x + 32=0[/tex]

Step 2 : Factorise the RHS :-

[tex]\longrightarrow x^2-8x - 4x +32=0\\[/tex]

[tex]\longrightarrow x(x-8)-4(x-8)=0\\[/tex]

[tex]\longrightarrow (x-8)(x-4)=0\\[/tex]

Step 3 : Equate each factor with 0 :-

[tex]\longrightarrow x - 8 = 0\\ \qquad x -4=0 [/tex]

[tex]\longrightarrow x = 8 \qquad x = 4 [/tex]

[tex]\longrightarrow \underline{\underline{\boldsymbol{ x = 8,4}}}[/tex]

Hence option C is correct .

The expected count of visits is the mean or average visits to each feeder

The expected count of visits to the third feeder is 87.5

The table of values is given as:

Feeder                 1   2    3   4

Observed visits 80 90 92 88

In this case, the null hypothesis implies that the visits to each feeder are uniformly distributed

So, the expected count is calculated using:

Expected count =Visits/Feeders

This gives

Expected count = 350/4

Evaluate the quotient

Expected count = 87.50

Hence, the expected count of visits to the third feeder is 87.5

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Answer: The answer is simply O

Step-by-step explanation: In this algebraic problems is very common to find an answer like that since you step to step process is basically canceling out the terms. We make disappear X and Y because that’s gonna count as a 1 unit value so don’t write x and y. It’s only 0

Answer:

99 points

Step-by-step explanation:

total of scores of 4 tests = 88 + 84 + 88 + 91 = 351

5 tests with an average score of 90:

⇒ total of scores = 5 × 90 = 450

Lowest score of 5th test = 450 - 351 = 99 points

Answer:

99 points

points scored:

88 points , 84 points, 88 points , 91 points, let the fifth test points be "n"

[tex]\sf \rightarrow \dfrac{88 +84+88+91+n}{5} =90[/tex]

[tex]\sf \rightarrow 351+n =90 (5)[/tex]

[tex]\sf \rightarrow n =450-351[/tex]

[tex]\rightarrow \sf n = 99[/tex]

Answer:

r = 24.3/π  m

r = 7.73 m

Step-by-step explanation:

C = 2πr

48.6 m = 2 × π × r

r = 48.6/(2π)  m

r = 24.3/π  m

r = 7.73 m

Answer:

B) B

Step-by-step explanation:

       In this case, the first partial product will be 2 * 5 which is 10. The only option that shows this is option B, so this is our answer.

       We can also check the answers as a whole,

2 * 5 = 10

80 * 5= 400

400 + 1 = 410

       Again, only option B gives us this. This is means that option B is our answer.

Answer:

B

Step-by-step explanation:

82

5

--

5 x 2 = 0 (carry 1)

5 x 8 + 1 = 1 (carry 4 to bottom)

Answer:

C. 51

Step-by-step explanation:

For Square:

Length x Height

7 x 6 = 42

For Triangle:

Base x Height x 1/2

(6x3)1/2 = 9

42 + 9 = 51

Answer:

6.46 seconds

Step-by-step explanation:

[tex] - 16 {t}^{2} + 65t + 248 = 0[/tex]

[tex]t = 6.46[/tex]

The number 0.14 is bigger than 0.135.

To compare the two numbers, you can look at their digits after the decimal point. In both numbers, the digit in the tenths place is 1. The next digit in 0.14 is 4, which is greater than the corresponding digit in 0.135, which is 3.

Since the digit in the hundredths place (4) is greater than the digit in the hundredths place (3), the number 0.14 is bigger than 0.135.

In summary, the order of the numbers from smallest to largest is:

0.135 < 0.14.

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Hey there!

Answer: [tex] \Rightarrow \boxed{\sf{x = 25}}[/tex]

[tex] \rightarrow \sf{ \frac{x}{20} = \frac{30}{24} }[/tex]

[tex] \rightarrow \: \boxed{ \sf{24x = 600}}[/tex]

[tex] \rightarrow \: \boxed{ \sf{ \frac{24x}{24} = \frac{600}{24}}} [/tex]

[tex] \rightarrow \boxed{ \bold{\sf{ x = 25}}}[/tex]

Hopes this helps

Answer:

ba/2+bd/2+cd, in this case the area is 46

Step-by-step explanation:

The formula for this would simply be the area of the trapazoid plus the area of the rectangle.

The area of a trapazoid(in this case) is b(a+d)/2

The area of the rectangle is cd

Adding these you get ba/2+bd/2+cd

In this case the area is 46

The dimensions of the rectangle that would have a value of 14/32 inches square are a length of 2/16 and a width of 31/2 inches.

A rectangle is a 2-dimensional quadrilateral with four right angles that has a value of 360 degrees. It has two diagonals that bisect each other.

Area of a rectangle = length x width

2/16 x 7/2 = 14/32

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Answer:

From the ratio

The difference is 9 - 5 = 4

Hence Trisha has 4 units more than Nathan and this resulted to 16800

Therefore 1 unit will be

16800 / 4 = 4200

Nathan’s salary is 5 units

5 * 4200 = 21000

Answer:

B

Step-by-step explanation:

bbbbbb brainless me

The distance between the two points is 93.9 units

The formula for calculating the distance between two points is expressed as:

[tex]D=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

Given the coordinate points (0, 0) and (40, 85). The distance between the points is expressed as:

[tex]D=\sqrt{(85-0)^2+(40-0)^2}\\D=\sqrt{7225+1600}\\D=93.9 units[/tex]

Hence the distance between the two points is 93.9 units

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Answer:89.4

Step-by-step explanation:

Answer:

Step-by-step explanation:

85+45+6

136

this is solution ...

Answer:

(2, 4)

Step-by-step explanation:

All you have to do is hop up 10 units on the grid from point P. 10 units up from -6 is 4. Therefore, your answer is (2, 4).

I hope this helps! Have a lovely day!! :)

Answer:

i belive its c

Step-by-step explanation:

you are shifting up 5 squares so you arrive at (2,4)

Answer:

Circumcenter

Step-by-step explanation:

The center that is created by intersection of the three perpendicular bisectors of your triangle sides.

Answer:

(x+2)^2 + (y-4)^2 = 65

Step-by-step explanation:

r^2 = (4-(-4))^2 + (-1-(-2))^2 = 65

center = (-2, 4) so you add 2 to x and subtract 4 from y

[tex]\\ \rm\rightarrowtail \dfrac{2}{3}[/tex]

We need. the denominator as 12

So

[tex]\\ \rm\rightarrowtail \dfrac{2(4)}{3(4)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{8}{12}[/tex]

Answer:

[tex]\sf \dfrac23=\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}[/tex]

Step-by-step explanation:

To get from 3 to 12, we must multiply 3 by 4 since 3 x 4 = 12

Therefore, multiply both the numerator and denominator by 4:

[tex]\sf \dfrac23=\dfrac{2 \times 4}{3 \times 4}=\dfrac{8}{12}[/tex]

Answer:

  (A) 308 clocks

  (B) 423 clocks

Step-by-step explanation:

The contribution margin is the amount by which the selling price of the clock exceeds the cost of the clock. The contribution margin is used to figure the break-even point, and the amount of profit from sales.

  contribution margin = selling price - variable cost - purchase price

  contribution margin = $84 -5 -53 = $26

__

To break even, the contribution margin from 'b' clocks must equal or exceed the owner's fixed cost:

  26b ≥ 8000

  b ≥ 8000/26

  b ≥ 307.7

The owner must sell 308 clocks each month to break even.

__

To make a profit of $3000, the owner must sell enough clocks to cover the $8000 fixed cost and contribute an additional $3000. That is, the total contribution margin from selling p clocks must be about $3000+8000 = $11000.

  26p ≈ 11000

  p ≈ 11000/26 ≈ 423.08

The owner must sell about 423 clocks each month to earn a profit of about $3000.

__

Additional comment

Selling 423 clocks will yield a profit of $2998.

Answer:

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

       Let g be Gabrielle's age and m be Mikhail's age.

       We can turn the statements the problem gives us into mathematical expressions to help us solve.

       Gabrielle's age is two times Mikhail's age:

                      g = 2m

       The sum of their ages is 81:

                      g + m = 81

       This gives us a system of equations that will allow us to solve for Gabrielle's age.

g + m = 81

(2m) + m = 81

3m = 81

m = [tex]\frac{81}{3}[/tex]

m = 27

       If we need to solve for Gabrielle's age, we can do the following.

g = 2m

2(27) = g

54 = g

g = 54

Mikhail's age is 27.

Gabrielle's age is 54.

Answer:

Mikhail is 27

Step-by-step explanation:

**If you want to find Gabrielle's age, multiply Mikhail's age by two, as represented by the equation g=2m. Gabrielle is 57.

Hope this helps!

Answer:

The 3rd equation, -2x-10 = -2(x+5)

Step-by-step explanation:

Equivalent expressions means both sides of the equal sign equal the same thing

To find which ones are equivalent expressions, we must solve/simplify both sides of each equation to see if they're actually equal to each other

We will use PEMDAS for this

1. 2x + 10 = -2(x - 5)

Start with Parentheses, and distribute the -2 to what's inside said parentheses

2x + 10 = -2x + 10

Not equal

2. -2(x+5) = 2x-10

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x - 10 = 2x - 10

Not equal

3. -2x-10 = -2(x+5)

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x - 10 = -2x - 10

Equal

4. -2(x-5) = -2x-10

Once again, start with Parentheses, and distribute the -2 to what's inside said parentheses

-2x + 10 = -2x - 10

Not equal

Answer:

at first write the equation in correct order y=Mx+b. 2y=5x=10

y= 5x/2+5.

Step-by-step explanation:

the slope is 5/2. as we know slope is rise over run. so you go up 5 units and go right 2 unit.

the graph picture is added below click on the PNG. hope it helps. have a great day.

Answer:

Light

Step-by-step explanation:

Light can travel approximately 186,000 miles per second so the answer we are looking for in here is light.