Two siblings Edwin and Rhea are both going skiing but choose different payment plans. Edwin's plan charges $45 for rentals and $5.25 per lift up the mountain. Rhea's plan was a bundle where her entire day cost $108. Set up an inequality that models the number of trips, n, up the mountain for which Edwin will pay more than Rhea. Solve the inequality. Also, what is the greatest amount of trips that Edwin can take up the mountain and still pay less than Rhea? Explain how you arrived at your answer.

Answer:

m=6

Step-by-step explanation:

4(m+3) = 36

4m + 12 = 36

4m + (12 -12) = (36 -12)

4m = 24

4m/4 = 24/4

m = 6

Answer:

121.5sqrt(3)

Step-by-step explanation:

Ok, so all regular hexagons are made out of 6 equilateral triangles. If the hexagon is inscribed in the circle, the radius lines up with a side of one of the 6 equilateral triangles and you get 6 equilateral triangles with a side length of 9.

The formula for an equilateral triangle's area is (a/2)^2 * sqrt(3) where a = side length. That means we just plug in 9 to find the area of one of these six triangles. We get 20.25sqrt(3).

We multiply this by 6 (to find the sum of the areas of 6 equilateral triangles) and get 121.5sqrt(3)

The area of the hexagon will be 210.4 cm².

The definition of a hexagon in mathematics and geometry is a polygon with six straight sides that is closed in two dimensions.

Given, a circle with a radius of 9 cm. which have a regular hexagon whose all corner touch the circle. If we draw a radius of a circle at the corner of the hexagon. then we get six equilateral triangles.

A regular hexagon is 6 equilateral triangles of side r and area

Area of triangle  = (r/2)(√3r/2)

so the total area is

A(hex ) =  (6/4) √3r²  =  3√3(r²)/2

r = 9m so

A = 210.4m²

Hence the Area of the given hexagon is 210.4 square meters.

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Answer:

3x

Step-by-step explanation:

Answer:

3x

Step-by-step explanation:

1+2=3

so 1X+2x=3x

Answer: 3/20

Step-by-step explanation:

12/80 is simplified to 3/20

Answer: The answer is D

Step-by-step explanation: Add them all up and you get 80 then 12/80 divided by 4 is 3/20

Answer:

the measure of angle 8 is 83 degrees

Step-by-step explanation:

Answer:

Data that we know:

He drove 504km in each direction.

Going, the average speed was 14km/h more than returning.

The total trip lasted 21 hours.

Ok, to solve this first:

Let's define the variables:

Sg = Average speed when going.

Sr = Average speed when returning.

Then we can write one of our relationships as:

Sg = Sr + 14km/h.

Now, you can recall the relation:

Time = Distance/speed.

Then we can write the equation that represents the total time of the travel as:

504km/Sg + 504km/Sr = 21h

Now we can replace the Sg by Sr + 14km/h, and get:

504km/(Sr + 14km/h) + 504km/Sr = 21h.

Now we must multiplacate by each denominator, in order to remove them:

504km*Sr + 504km*(Sr + 14km/h) = 21h*Sr*(Sr + 14km/h)

Sr*1008km + 7056km^2/h = 21h*Sr^2 + 294km*Sr

Now we can write a cuadratic equation, where i will ignore the units so it is easier to read, as:

21*Sr^2 -714*Sr - 7056 = 0

The solutions are given by the Bhaskara formula:

[tex]Sr = \frac{714 +- \sqrt{714^2 - 4*21*(-7056)} }{2*21} = \frac{714 +- 1050}{42}[/tex]

We have two solutions, one negative and one positive, and because Sr represents an average speed, it must be a positive number, then we choose the positive solution:

Sr = (714 + 1050)/42  km/h = 42km/h

Now we have the average speed for the returning, with this we can find Sg.

Sg = Sr + 14km/h = 42km/h + 14km/h = 56km/h.

Answer:

[tex]5 \sqrt{5 \: } is \: \: the \: \: answer \: \: of \: \: this \: \: question[/tex]

Answer:

Option (A)

Step-by-step explanation:

Statement 'p':

"Memorial Day is in July"

Statement 'q':

"Parallel lines intersect"

Since both the statement are joined by the 'OR',

Statements p and q will be joined by disjunction represented by the sign (∧).

Therefore, two statements will be represented as,

p ∧ q

Option (A) will be the correct option.

Answer:

The answer is 6

Step-by-step explanation:

Answer: False

Explanation:

X is input, y is output

y=5x+12

hope i could help!

Answer:

11

Step-by-step explanation:

I divided 7.20 and 6 and got 1.2 so i did 13.20 divided by 1.2 and got 11

Answer: You can buy 11 candy bars.

Step-by-step explanation:

$7.20 =6

$7.20/6 =$1.20

$13.20/$1.20=11

Answer:

y=-6x-40

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

hope this helps

Answer:

-6 in less than -4.

Answer:

-6 less than -4

Step-by-step explanation:

-6 is less because on the number line it will look like it's before -4

Hope this helps!!!

Answer:

The correct answer is: A

Step-by-step explanation:

The value of the slope and intercept is:

=0.92(42268/27569)

=1.410518

a=y-bx

=634235-1.410518×326845

=173214.3716

The eququation for the least-square regression line is:

y=173214.3716 + 1.4105518x

Round to the 2 decimal place:

=173,214.37 +1.41x

The equation for the least squares regression line for number of property crimes compared with number of battery crimes is (b) y = 141x + 173214.37

The given parameters are:

Calculate the slope (m) using:

m = r * Sy/Sx

This gives

m = 0.92 * 42268/27569

Evaluate

m =1.41051761036

Approximate

m = 1.41

The y-intercept (c) is calculated using:

c = μy -m * μx

So, we have:

c = 634235 - 1.41051761036 * 326845

Evaluate

c = 173214.371642

Approximate

c =173214.37

The least-square regression line equation is represented as:

y = mx + c

So, we have:

y = 141x + 173214.37

Hence, the equation for the least squares regression line for number of property crimes compared with number of battery crimes is (b) y = 141x + 173214.37

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Answer:

answer one is 8

answer two is 8

answer three is 520

answer four is 520

answer five is 800

Step-by-step explanation:

There are  520 students out of 800 ride the bus,

65% of 800 is 520,

100 multiplied by 8 is 800.

The majority of the explanations for ratios and proportions use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.

Given,

1: There are 65 students out of 100 students who ride the bus. There are question mark students out of 800 students who ride the bus.

let x student out of 800 rides the bus

so both conditions 65/100 and x/800 are in proportions,

65/100 = x/800

x = 800*65/100

x = 520

2:  65% of the 800 students at North High School ride the bus.

65% of 800 = 65/100 x 800

65% of 800 = 520

3: 100 multiplied by is equal to 800.

let x multiplied by 100 is 800

x*100 = 800

x = 800/100

x = 8

Hence 520 students out of 800 ride the bus,

65% of 800 is 520,

100 multiplied by 8 is 800.

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Answer:

2 hours and 42 minutes

Step-by-step explanation:

we can see that both people are painting the same house, however 1 person goes faster than the other one

lets start by putting our numbers into fractions then finding a like value. 35 in this case. 1/7 equals 5/35 and 1/5 equals 7/35 now we add these together and get 13/35. our next step is to flip this to 35/13 and take put any whole numbers. in this case 2 whole numbers can be made

leaving

9/13

(0.69)

converting this to minutes is 42 minutes.

A = 42°

B= 23°

F = 115°

Step-by-step explanation:

The required measures of the three angles in triangle ABF are A = 23°, B = 42°, and F = 115°.

Alternate Interior Angles are defined as the pair of angles created on the inner side of the parallel lines

Given that Lines AB and CD are parallel.

To determine the measures of the three angles in triangle ABF.

For finding ∠F,

∠CDF = 180° - 157° = 23°

∠F = 180° - ∠C - ∠CDF

∠F = 180° - 42° - 23°

∠F = 115°

However, if a transversal intersects two parallel lines, then each pair of alternate interior angles is equal.

So ∠A = ∠CDF = 23°

And ∠B = ∠C = 42°

Thus, the required measures of the three angles in triangle ABF are A = 23°, B = 42°, and F = 115°.

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Answer:

Step-by-step explanation:

Am equation with infinite number of solution means that the equation has uncountable solutions.

Let's analyse each options

For the expression 3x-1 = 3x+1

Collect like terms

3x-3x = 1+1

0x = 2

Divide both sides by 0

x = 2/0

x = infinity

This shows that the expression 3x-1 = 3x+1 has infinite number of solution

Also considering the third expression

3(x-1) = 3x+3

Open the parenthesis

3x-3 = 3x+3

Collect like terms

3x-3x = 3+3

0x = 6

x = 6/0.

x = infinity

Thus also shows that expression 3(x-1) = 3x+3 has infinite number of solution.

3x-1 = 3x+1

3(x-1) = 3x+3

Answer:

Step-by-step explanation:

16×2/3

32/3

104

Answer:

$1.62

Step-by-step explanation:

(Why not use a calculator for this?)

Answer:

19.39 divided by 12 is

1.615 or 1.61583333

Answer:

1)The answer is no

2)48 7 6 = 8. 54 7 6 = 9. 60 + 6

Step-by-step explanation:

1) because if you add it a lot of times you will get a bad answer. But if you do the math like this 48 7 6 = 8. 54 7 6 = 9. 60 + 6.  

2) well 48 7 6 = 8. 54 7 6 = 9. 60 + 6= 75.6 right. So the picture frame is 5 inches

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Answer:

1)The answer is no

2)48 7 6 = 8. 54 7 6 = 9. 60 + 6

Step-by-step explanation:

1) because if you add it a lot of times you will get a bad answer. But if you do the math like this 48 7 6 = 8. 54 7 6 = 9. 60 + 6.  

2) well 48 7 6 = 8. 54 7 6 = 9. 60 + 6= 75.6 right. So the picture frame is 5 inches

Step-by-step explanation:

Answer:

9872.698 is 9.746 x 1013 in standard form

Answer: (-1,4) is the answer