Virginia is going to visit 5 cities this summer. She will choose from 8 different cities and the order in which she visits the cities does not matter. How many different city combinations are possible for the summer travelling?

The Harmonized Sales Tax that Colin paid on this trip was of $152.18.

The Harmonized Sales Tax is a rate that a person pays over the values of their purchases.

In the context of this problem, the person traveled on Ontario, where the HST rate is of 13%.

The purchases of the person are given as follows:

The total value of these purchases is given by:

Total value = 879.95 + 145.58 + 99.97 + 45.14 = $1,170.64.

The HST paid is 13% of this amount, hence it is calculated as follows:

HST = 0.13 x 1170.64 = $152.18.

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Solution

If we see the two tirangles given BAC and A'B'C' we can conclude that we have the following congruent angles

< CAB = < C'A'B'

< BCA = < B'C'A'

< ABC = < A'B'C'

SOLUTION

We want to know which of the options would give us

y = 34,

Let's try A. 8y = 9

This becomes

We didn't get y = 34, hence A is incorrect.

Let's try B. y − 1= − 14

This becomes

B too is incorrect.

Let's try C. 4y = 6

C too is incorrect

Let's check D. 7 − y = 614

D too is incorrect

Given the following question:

Trampoline park charges $2 plus an hourly rate for each hour (variable h)

Sign gives prices for up to three hours of parking

C = total cost

h = hours

C = total cost

The sign goes up 12 dollars for every hour

The sign goes up to 3 hours

Option A isn't the answer because the sign only goes up to 3 hours

Your answer is option B

Since c represents total cost

2h = 2 +12 which is plus 12 dollars every hour

If two polygons are similar with the lengths of corresponding sides, we need to find the ratio between both figures:

Then:

So, the ratio is 5:3

The perimeter of LMNPQ is the same to say :

P of ABCDE = 25.2cm

Use the ratio

P of LMNPQ = 25.2 (5/3) cm

Then P = 42 cm

First, we are going to divide the figure and named new points X and Y as:

Now, we know that TS is the sum of TX and XS.

TS = TX + XS

Adittionally, TX has the same length of HJ, so:

TX = HJ = 14

Now, we want to know the length of YK, and we can calculate it using the following equation:

LK = LY + YK LY is also equal to HJ, so LY = 14

42 = 14 + YK

42 - 14 = YK

28 = YK

Finally, since T and S are midpoints, the length of XS is the half of the length of YK. It means that XS is:

XS = YK/2

XS = 28/2

XS = 14

Therefore, TS is equal to:

TS = TX + XS

TS = 14 + 14

TS = 28

Answer: TS = 28

It is important to notice that side VP is the hypothenuse of the triangle, and VT is the adjacent leg to 30°.

To find VP, we just have to use the cosine function

the hypotenuse of the right angle triangle is h = 5 ft

it is given that

the shorter leg is 1 ft shorter than the longer leg.

let the shorter leg is a and longer leg is b

the

b - a = 1

b = 1 + a

in the traingle using Pythagoras theorem,

put he values,

a + 4 = 0

a = - 4

and

a - 3 = 0

a = 3

so, the longer leg is b = a + 1 = 3 + 1 = 4

thus, the answer is

shorter leg = 3 ft

longer length = 4 ft

hypotenuse = 5 ft

Answer:

133,860

Step-by-step explanation:

The baker was going to sell his house for 145,500 but he found that no one came to buy, so he decreased the amount by "8%".

* No we have our key elements:

- Starting amount = 145,500

- Rate of change = 8%

* We will get the "8%" of the number 145,500

- Firstly, "8%" means 8/100

- So, 0.08 will be our new rate of change.

* 145,500 will be multiplied by 0.08 to find the final answer because when we talk about the percentage of a number, we are going to talk about a part of it.

- 145,500 × 0.08 = 133,860 ; the same as

145,500 × 8/100 = 133,860

Let's write 2 equations from the two statements given.

Sarah spent 10 dollars on both oranges and apples

Let the price of oranges be "x" and price of apples be "y", thus we can write:

Oranges cost 3 less than apples, thus we can say:

We can substitute this into the first equation and solve for y:

Thus, let's solve for x now,

We want the price of oranges (x), thus,

Price of Oranges = $3.50

Answer:

your answer is B

Step-by-step explanation:

Germany, Austria-Hungary, Bulgaria, and the Ottoman Empire

A linear equation in slope-point form looks like this:

y -y0= m(x-x0)

Where m is the slope of the line and (x0,y0) is a point of the line.

In this case, we know that the slope of the line equals 4 and that the line goes through the point (1, -3), then, we can substitute these values into the general form to get:

y-(-3) = 4(x-(1))

Answer: (- 4, - 7)

Explanation:

The given equations are

y = 5x + 13

y = 2x + 1

We would equate both equations. We have

5x + 13 = 2x + 1

5x - 2x = 1 - 13

3x = - 12

x = - 12/3

x = - 4

Substituting x = - 4 into y = 2x + 1, we have

y = 2(- 4) + 1 = - 8 + 1

y = - 7

The solution is

(- 4, - 7)

Given the data set:

5, 4, 3, 5, 4, 2, 4, 1, 5, 4, 6, 1, 4, 5, 2, 3

Using the given data set, let's answer the following questions:

• (a). Construct a frequency distribution table.

Let's first arrange the terms in ascending order:

1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6

Here, we can have the following:

1 ==> Occurs twice

2 ==> Occurs twice

3 ==> Occurs twice

4 ==> Occurs 5 times

5 ==> Occurs 4 times

6 ==> Occurs once.

Therefore, for the frequency distribution table, we are to use the number of times each data occur (this is the frequency).

We have the table below:

• Part b.

Let's sketch a histogram of the frequency distribution.

• We have the histogram of the frequency distribution below:

By solving the equation, we know that f(x) = 1 - x is - 1 when f(x) =  2.

So, f(x) = 1 - x when f(x)=  2:

Solve for f(x) as follows:

Therefore, by solving the equation, we know that f(x) = 1 - x is - 1 when f(x) =  2.

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From the figure given, if theta = A

opposite = 28 and hypotenuse =53

substitute the values into the formula

Compound probability = probability of first event * probability of second event

Let the spinning of the spinner be event A(First event)

Recall,

Probability = number of favourable outcomes/total number of outcomes

The numbers lesser than 3 are 1 and 2. thus, favourable outcomes = 2

total outcomes = 5

P(A) = 2/5

For event B(second event)

The coin has only head and tail

P(B) = 1/2

Thus, the probability of spinning a number less than 3 and flipping tails is​

2/5 * 1/2

= 1/5

Given:

For the given figure,

The surface area is calculated as,

Answer: surface area is 92 square ft.

The expression has a value of -26.46 when evaluated

From the question, the expression is given as

four tenths squared minus 19 plus the quantity negative 5.......

Rewrite the expression properly as

0.4² - 19 + (-5)/|6.7 - 9.2| * 3.81

Start by evaluating the exponent

So, we have

0.16 - 19 + (-5)/|6.7 - 9.2| * 3.81

Remove the expression in the bracket

0.16 - 19 - 5/|6.7 - 9.2| * 3.81

So, we have

0.16 - 19 - 5/|-2.5| * 3.81

Remove the absolute bracket

0.16 - 19 - 5/2.5 * 3.81

Divide

0.16 - 19 - 2 * 3.81

Evaluate the products

0.16 - 19 - 7.62

So, we have

-26.46

Hence, the value of the expressions is -26.46

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Hey there!

[tex]g+6g\\g=9,h=4[/tex]

[tex]4(h)+6(9(g))[/tex]

[tex]4+6(9)[/tex]

[tex]=58[/tex]

Hope this helps!

The input variable of the function is r, while the output variable is f(r)

The definition of the function is given as

f(r) = πr²

In the above function definition, we have the function to be

f(r)

The definition f(r) implies that

The above is true because, the variable π has its constant value of 22/7

i.e. π= 22/7

While the variable r can change its value

Take for instance:

If r = 7, then we have

f(7) = π x 7²

Evaluate

f(7) = 154

If r = 14, then we have

f(14) = π x 14²

Evaluate

f(14) = 616

See that the value of f(r) changes as r changes

This means that, the stated parameters above are true i.e.

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Let:

A = Spinning blue

B = flipping heads

C = Spinning a 1

The probality of spinning blue is given by:

The probality of flipping heads is:

The probality of spinning 1 is given by:

Since they are independent events:

Here we have an arithmetic sequence with a common difference of 6, so the recursive formula is:

Tₙ = Tₙ₋₁ + 6

Where T₁ = 4.

Here we have the following sequence:

4, 10, 16, 22, ...

This seems to be an arithmetic sequence, to check this, we need to take the difference between consecutive terms and see if this is constant.

10 - 4 = 6

16 - 10 = 6

22 - 16 = 6

So yes, this is an arithmetic sequence and the common difference is 6, this means that each term is 6 more than the previous one, so the recursive formula is:

Tₙ = Tₙ₋₁ + 6

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The meal cost is $86

its 15% is:

$86 x 0.15 = $12.9

then the tip was $12.9. Then, the total bill would be:

$86 + $12.9 = $98.9

that is the total bill was $98.9

Let N be the total amount of whole ounces that are mailed.

Since mailing the first ounce has a cost of $0.39, then there will be N-1 ounces charged for $0.22 each.

The total cost of mailing N ounces will be:

If that cost cannot exceed $7.24, then:

Solve the inequality for N:

Since N must be a whole number, the maximum value of N that satisfies the inequality is 32.

Therefore, the maximum number of whole ounces that can be mailed for $7.24 is:

A function is a relation in which each possible input value leads to exactly one output value. We say “the output is a function of the input.”

The input values make up the domain, and the output values make up the range.

The relation is given to be:

To classify a function, get the input and output values. If each input value leads to only one output value, classify the relationship as a function. If any input value leads to two or more outputs, do not classify the relationship as a function.

The input values are: {7, 4, 0, 3, 1}

The output values are: {6, -6, -1, 3, 1}

Therefore, the relation is a function.

The correct option is OPTION A: Yes, because each first component corresponds to exactly one second component.

The domain is:

The range is:

Given:

a.) The price for a new iPhone today is $829.

b.) In 2010 it was $299 for the new iPhone.

To be able to determine the percent change of price, we will be using the following formula:

We get,

Therefore, the percent of change in the price from 2010 and today is an increase of 177%.

SOLUTION

Step1; Draw the Triangle and locate the angles

We are to obtain the value of a that is the side |BC|

Applying trigonometry ratios we have

Then the value of a = 28mm to the nearest whole number

The formula for the nth term is expressed as

an = (an - 1)^2 - 3

This is a recursive formula

This means that the second term, a2 is

a2 = (a2 - 1)^2 - 3

a2 = (a1)^2 - 3

a2 = 4^2 - 3 = 16 - 3 = 13

a3 = (a3 - 1)^2 - 3

a3 = (a2)^2 - 3

a3 = 13^2 - 3 = 169 - 3 = 166

a4 = (a4 - 1)^2 - 3

a4 = (a3)^2 - 3

a4 = 166^2 - 3 = 27556 - 3 = 27553

Thus,

a4 = 27553