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:

Multiply the term outside of the parentheses by each term in the parentheses. To do this, you are essentially distributing the outer term into the inner terms. Multiply the term outside the parentheses by the first term in the parentheses. Then multiply it by the second term. If there are more than two terms, keep distributing the term until there are no terms left. Keep whatever operation (plus or minus) is in the parentheses

Step-by-step explanation:

Answer:

5p-6q or 5p+ (-6q)

If you are looking to create one equation, then combine like terms.

2p+3p and -5q + (-q or 1)

5p and -6q

5p-6q or 5p+ (-6q)

Answer:

[tex]\frac{-1}{0}[/tex] which is -1

Step-by-step explanation:

The slope formula is y2-y1 over x2-x1

So just plug it in. 2 - 3 = -1

-8 - -8 = 0

So the slope is -1 over 0

Answer: -25/42

Step-by-step explanation: For multiplying fractions, it’s multiplying numerator by numerator and denominator by denominator. 5 x 5 = 25 and 6 x 7 = 42 and then add the - since it’s negative. It can not simplify

Answer:

.125 or 1/8

Step-by-step explanation:

The question is looking for the difference divided by the long ride. The long ride is 6 1/4 miles, so now we need to find the difference.

In order to do this, we take the larger distance and subtract the smaller distance.

We would take (Tip: Use decimals when you can. They are easier to work with ) 6.25 - 5.5 and we get .75 or 3/4 of a mile.

Now, we put .75 over 6.25 and simplify.

.125 or 1/8

Answer:

22$ simplified

Step-by-step explanation:

5*2=10+12=2*6

=22

Answer:

can you provide more information

Step-by-step explanation:

Answer: M and I are both parallel

:)

Step-by-step explanation:

the graph is not showing

Answer:

o

Step-by-step explanation:

Answer:

give picture, waiting for it

Answer:

of what lol

Step-by-step explanation:

The correct option is A. Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

There are four types of rigid motions that we will consider translation , rotation, reflection, and glide reflection.

Here we have to rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

Hence option A is correct that is Rotate GHJ using center G until GH is lined up with ST and then reflect over a line halfway between G'H'J' and STU.

For more details on Rotation follow the link:

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Answer:

option B. 9x² – 2x + 5x

Step by step explanation:

The perimeter of a triangle is the sum of all its three sides.

3x²+5x–1+6x²+5–7x+1

= 9x²–2x+5

Step-by-step explanation:

1. have info for adjacent side and hypotenuse

so use; cosine

cos32=x/19

x=cos32×19

=15.9

2. have info for opposite side and hypotenuse

so use; sine

sin63=16/x

x=16/sin63

=95.6

3. have info for opposite side and adjacent side

so use; tangent

tan26=17/x

x=17/tan26

=14.4

4. have info for opposite side and adjacent side

so use tangent

tan42= x/13

x=tan42×13

x=29.8

Answer:

A. Total number of liters = 1.25 liters

B. Milk = 0.25 liters

Step-by-step explanation:

Let

x = total number of liters ( milk + water )

Milk = 20% of x

= 0.2x

Water = 1 liter

Total number of liters = milk + water

x = 0.2x + 1

x - 0.2x = 1

0.8x = 1

Divide both sides by 0.8

x = 1 / 0.8

= 1.25

x = 1.25 liters

Total number of liters = 1.25 liters

B.

Liters of milk in the bottle = Total number of liters - liters of water

= 1.25 liters - 1 liter

= 0.25 liter

Milk = 0.25 liters

Step-by-step explanation:

let x be the number of adults and y number of childrens

so we have. x+y=100 people

and. 12*x+8*y=1056 dollars

x=100-y

replace 100-y to the second equation

12*(100-y)+8y=1056

1200-12y+8y=1056

1200-4y=1055

1200-1056=4y

144=4y

y=144/4=36

so x=100-y=100-36=64

so in this group were 64 adults and 36 childrens

In this group were 64 adults and 36 children.

In mathematics, a system of linear equations (or linear system) is a collection of one or more linear equations involving the same variables.

let x be the number of adults and y number of children

so we have. x + y = 100 people

and. 12 × x + 8 × y = 1056 dollars

x=100 - y

replace 100 - y to the second equation

12 × (100 - y) + 8y = 1056

1200 - 12y + 8y = 1056

1200 - 4y = 1055

1200 - 1056 = 4y

144 = 4y

y = 144/4 = 36

so x = 100 - y = 100 - 36 = 64

Hence, in this group were 64 adults and 36 children.

To learn more about system of equations from here

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Answer:

I think that the answer is A.

Step-by-step explanation:

The values that complete the table are -1/2, -√2/2 and -√3/2

The function is given as:

[tex]y = sin(x)[/tex]

From the table, we have:

sin(π) = 0

Next, we calculate the value of y for other values of x

When x = 7π/6, we have:

sin(7π/6) = -1/2

When x = 5π/4, we have:

sin(7π/6) = -√2/2

When x = 4π/3, we have:

sin(4π/3) = -√3/2

Hence, the values that complete the table are -1/2, -√2/2 and -√3/2

Read more about sine functions at:

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Answer:

acute

Step-by-step explanation:

the angles are all less than 90°

they are not equal so not equialteral

has to be acute

Answer:

$26

Step-by-step explanation:

its 50% , just divide by 2

Answer:

52/2 = $26

Step-by-step explanation:

50% is half, so simply divide it by 2

Answer:

27 dollrs for c

76dollra for b

Step-by-step explanation: because you just multiply the 68 and 76 by how much they were for

Answer: 21.608040201

Step-by-step explanation:

Answer:

The pencil is £1 and the pen is £2

Step-by-step explanation:

Let the pencil be p and let the pen be f.

5p + 3f = 11

4p + 6f = 16

the top one multiplies by two:

10p + 6f = 22

4p + 6f = 16    subtract

6p = £6

pencil = £1

Then you substitute the value of the pencil into the equation and find the value of the pen.

Answer:

The answer is yes!

Step-by-step explanation:

I'm 100% sure, put it into a calculator and it'll give you 1 as the answer.

Answer:

Yes

Step-by-step explanation:

The answer is yes because:

1) As you can see, in standard form the pattern is x * 3 = y

2) If x = 1 it would match the pattern because the next number will be 1 x 3 which is 3, and then the the third number would be 3 x 3 = 9, and then the fourth number would be 9 x 3 = 27 and so on.

Hope this helps! :D

Answer: The answer is k= -9

Step-by-step explanation:

this is how you solve it :

-8+k=-17

so then you add 8 to both sides so it would look like

-8+k+8=-17+8

then you simplify

after you simplify it would equal k=-9

THATS ALL :) have a good day

also could you please make me brainleast ???

Answer:

138 of the students are boys, and 162 of them are girls. there are 24 more girls than boys.

Step-by-step explanation:

multiplying a number by its percent as a decimal gets you the percent of that number

300 x .46 = 138 boys

now subtract that from the original 300 to get the girls

300 - 138 = 162 girls

lastly subtract the girls from the boys to get how many more girls there are than boys

162 - 138 = 24

Answer:

9.461 × 10^17

Step-by-step explanation:

946,100,000,000,000,000 is 9.461x10^17

Answer:

The product st is irrational.

The product pt is irrational.

Step-by-step explanation:

Let p = 3/4 and q= 5/9

Now multiplying these two non zero rational numbers

3/4 (5/9)= 15/36 ( this is also a rational number)

An irrational number is one which cannot be expressed in the form of p/q where p and q are integers( in the form of a simple expression) like the rational number.

Now let the two irrational numbers  s and t be √3 and √5

Now multiplying the two irrational numbers we get

st = √3  √5

st =√15  ( this is also an irrational number)

√15 cannot be expressed in the form of a simple fraction.

Now multiplying pt

3/4 * √5= 3√5/4  ( this is also irrational)

Answer:

The total number of planes = 23 planes

Step-by-step explanation:

The number of planes are give as follows;

The number of planes with three points, given that any three points of an octahedron forms a plane are ₆C₃ = 20

The number of distinct planes that has 4 points in the octahedron = 3

Therefore, the total number of planes are 20 + 3 = 23 planes.