Liam is planning a trip to Ireland and plans to pay for his airfare using Air Miles. The cost
for a flight from Toronto to Dublin is $625 plus $123 in fees and HST. Liam will need a
return ticket as well which retails for the same cost. Liam also intends to use his Aeroplan
points to get the flight. The cost of a flight in Aeroplan points is 80,000 one way and does
not include additional fees, but does include HST. Liam currently has 120,000 Aeroplan
points and plans to drain his account on these flights. How much will Liam pay for his
trip?
Hint: Sales Tax (HST) in Ontario is 13%

Answer:

the answer is 67789 because he will have enough money for the car to play

Answer:

The variable c=9 is the answer the varibles

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

c = −15.8571428571

Step-by-step explanation:

-42 = 5(2c + 9) - 3(c + 8)

-42 = 10c + 45 - 3c + 24

-42 = 10c - 3c + 45 + 24

-42 = 7c + 69

-7c -7c

-------------------

-7c - 42 = 69

+42. +42

___________

-7c/-7 = 111/-7

c = −15.8571428571

The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

The given sequence is 5, -25, 125,.......

Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.

We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].

Where, a = first term of the sequence, r= common ratio and n = number of terms.

Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get

[tex]a_n=5\times(-5)^{n-1}[/tex]

Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

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Answer:

592

Step-by-step explanation:

Surface area of a rectangular prism = 2lw + 2lh + 2wh

where w = width, h = height and l = length

These are the given dimensions...

length = 12 cm

width = 8 cm

height = 10 cm

To find the surface area we plug in the given values into the formula

[tex]SA=2(12)(8)+2(12)(10)+2(10)(8)\\12*8=96\\96*2=192\\12*10=120\\120*2=240\\10*8=80\\80*2=160\\160+240+192=592[/tex]

Hence, the surface area of the rectangular prism is 592

Answer:

3 for 15

cheaper

all you have to do is divide the number of sandwiches by the money.

(i answered again because its a waste of points)

Answer: Exact Form: x = 7/2

Decimal Form: x = 3.5

Mixed Number Form: x = 3 1/2

How to: Solve for  x  by simplifying both sides of the equation, then isolating the variable.

Have a great day and stay safe !

Answer:

x= 6; y=3 root 3; m=6; n= 6 root 2; a=2; b=2

Step-by-step explanation:

Special Triangles

Answer:

44. (Sorry if im incorrect. I don't clearly understand the question)

Step-by-step explanation:

Answer:

14 or -12

Step-by-step explanation:

Start by writing an equation for this.

84 = x * (2x + 2)

This expression works because 84 is the product of the number (x) and twice the number plus 2.

Using the equation, solve for x.

84 = x * (2x + 2)

First, simplify.

84 = 2x^2 + 2x

Subtract 2x^2 + 2x to make the equation equal to 0.

84 - 2x^2 + 2x = 0

Factor:

−2(x − 6)(x + 7) = 0

Set factors equal to 0.

x − 6 = 0 or x + 7 = 0

x = 6 or x = -7

x represents the smaller number. The larger number is 2x + 2.

So double x and add 2.

2(6) = 12 and 12 + 2 = 14 so that's one of the options

2(-7) = -14 and -14 + 2 = -12 so that's the other.

Check:

14 * 6 = 84

-12 * -7 = 84

Answer:

d) -90º

Step-by-step explanation:

Answer:

C) d=400t

Step-by-step explanation:

400mph means 400 miles per hour. (So every hour 400miles is covered due to the fact that its constant)

Therefore, to have the total distance, we take the 400 and multiply it by the amount of Time spent. (T in this inatance)

Answer:

3/10

Step-by-step explanation:

fouth grade students at Estrabook make up 0.3 percents of the students at school

The fraction is therefore equivalent to

= 3/10

Answer:

4(2g+4)

Step-by-step explanation:

8g+16

Since this expression represents the total perimeter, we need one side length. So we divide this by 4, because it's a square and all sides are of equal length.

8/4=2

16/4=4

One side is 2g+4. So multiply that equation by 4.

4(2g+4)

DOUBLE CHECK

4(2g+4)

8g+16

---

hope it helps

Answer:

4(2g+4)                                                                :):):):):):):):):):):):)

Answer:

C

Step-by-step explanation:

hope this help Im pretty sure it's right

The graph for the inequality given is graph 1.

An inequality is a relation between two numbers or expressions that are not equal. It can show which of them is greater or smaller by using symbols like < or >. It can also be a statement of fact about the order relationship of quantities.

Given that an inequality, 2-(x+3) < 4 -2x, we need to determine its graph,

For the same solving the inequality,

2-(x+3) < 4 -2x

2-x-3 < 4 - 2x

Add x to both sides,

2-3 < 4-x

-1 < 4-x

Subtract 4

-1-4 > -x

x > 5

Since, the x is greater than 5 so the graph will be the numbers that greater than 5,

Hence, the graph is 1.

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Answer:

1 < x

Step-by-step explanation:

We have to used same order of operations just as we would in an equation;

15 > -x + 16

=> First subtract 16 from each side

-1 > -x

=> To bring x to positive, divide each side by -1 (Since we are dividing by a negative value, the inequality sign will switch)

Therefore the answer is: 1 < x

Hope this helps!

Answer:

15>-x+16

-1>-x

1<x

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Lets recall what the pythagroens theorm is:

A^2+B^2=C^2. A and B are the side lengths(adjacent and opposite), while C is the longest sloped length(hyotenouse).

Lets plug in our values for each, and solve for the missing one:

12^3+b^2=13^2

Square each value(except for unknown):

144+b^2=169

Now get b alone(subtract 144 from both sides):

b^2=25

Now root both sides(removes the ^2):

b=5

This is your answer!

Hope this helps! :)

Answer:

the coaster diameter is 8

Answer:

w=32

Step-by-step explanation:

33+115+w=180

148+w=180

w=180-148

w=32

Answer:

height of the wall ] is 48.25ft

Step-by-step explanation:

Given data

Length of ladder= 50ft

Angle= 75°

We want to find the Height of the wall

Applying the SOH CAH TOA

sin ∅= opposite/hypotenus

sin 75= opposite/ 50

0.965= opposite/ 50

opposite=0.965*50

opposite=  48.25ft

Hence the height of the wall ] is 48.25ft

Answer:

3x+3y+3z

Step-by-step explanation:

Answer:

10,2,5

Step-by-step explanation:

Answer:900 square units

Step-by-step explanation:

The radius is 90 units. Then the area of the shaded sector will be 900π square units.

Let r be the radius of the sector and θ be the angle subtended by the sector at the center. Then the area of the sector of the circle will be

A = (θ/360°) πr²

The circumference of circle T is 180π units. Then the radius of the circle is given as,

C = 180π

2πr = 180π

r = 90 units

Then the area of the sector is given as,

A = (40°/360°) π x 90²

A = 900π square units

The area of the shaded sector will be 900π square units.

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Answer:

perimeter=sum of all sides

p=2(L+W)

36=2(L+12)

36-24=2L

12=2L

L=6

A rectangle is a 2-D shape with 4 angles. The length of the garden if it is 12 feet wide is 3 feet

A rectangle is a 2-D shape with 4 angles. The formula for calculating the perimeter of a rectangle is expressed as:

P = 2(length + width)

Given

Perimeter = 30 feet

width = 12 ft

Substitute

30 = 2(l + 12)

15 = l + 12

l = 3 feet

Hence the length of thegarden if it is 12 feet wide is 3 feet

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Answer:

The interquartile range for this data set is 3.

Step-by-step explanation:

We are given the data set : 3, 4, 4, 6, 7, 7, 9

In order to find the interquartile range, we can create a box plot for this data set. Each box plot contains a minimum, lower quartile, median, higher quartile, and maximum. Let's find the minimum and maximum before the others as it is the easiest one to identify. The minimum here would be 3 since that's the lowest number here in this data set. The maximum here would be  9 since that's the highest number here in this data set. Before we find the lower and higher quartile, let's find the median first since that way, we don't get mixed up between so many numbers. To find the median, you need to find the value that lies at the middle point throughout the data set. Since there are 7 values in this data set which is a odd number, all we need to do is cross out the first and last value as each set goes by.

3, 4, 4, 6, 7, 7, 9

   4, 4, 6, 7, 7

       4, 6, 7

           6

The work above shows each set of the first and last value getting shorter and shorter, so the median of the data set would be 6. The values, 3, 4, and 9 have already been used. Now that we know the median, the second lowest number here is 4 (lower quartile) and the second highest number here is 7 (higher quartile). In order to find the interquartile range, you need to find the difference between the lower quartile and higher quartile, which means to subtract.

7 (higher quartile) and 4 (lower quartile) = 3 (interquartile range)

Therefore, the interquartile range for this data set is 3.

Answer: 27

Step-by-step explanation:

Answer:

C. 27

Step-by-step explanation:

If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then it's height above the earth in feet is given by s(t)=-16t^2+32T where t

Answer:

(7,4)

Step-by-step explanation: