Emma went to a salon to get her hair cut. The price of the haircut is $65. She wants to leave a 20% tip. What is the total amount she should pay?

The explicit rule for the given arithmetic sequence is an = -2 + (n - 1) * (-9)

An arithmetic sequence is a sequence of numbers in which each term is found by adding a common difference to the previous term. In this case, the recursive rule for the arithmetic sequence is given as a1 = -2 and an = an-1 - 9.

To find the explicit rule for this sequence, we need to find a formula that directly calculates the nth term of the sequence. We can do this by examining the pattern in the sequence:

From the pattern, we can see that each term is obtained by subtracting 9 from the previous term. So, the explicit rule for this arithmetic sequence is given by:

an = a1 + (n - 1) * d

where a1 is the first term, n is the term number, and d is the common difference. Plugging in the values, we have:

an = -2 + (n - 1) * (-9)

Simplifying this equation gives the explicit rule for the sequence.

Final answer:

The explicit rule for the arithmetic sequence is an = -2 + (n-1)(-9).

Explanation:

An explicit rule for an arithmetic sequence is given by the formula:

an = a1 + (n-1)d

Where:

an is the nth term of the sequence

a1 is the first term of the sequence

n is the position of the term in the sequence

d is the common difference between consecutive terms

In this case, the first term (a1) is -2 and the common difference (d) is -9. Therefore, the explicit rule for this sequence is:

an = -2 + (n-1)(-9)

Answer:

A). $50.27

Step-by-step explanation:

Add $39.99 and -$10.28 to get $50.27

Final answer:

Julie withdrew $50.27 from her account, which can be calculated by adding her previous balance of $39.99 to the absolute value of her negative current balance, $10.28.

Explanation:

The question asks to determine how much was withdrawn from Julie's bank account, given that her balance went from $39.99 to -$10.28. To do this, we subtract the current balance from the previous balance. So the calculation is $39.99 - (-$10.28).

First, subtracting a negative is the same as adding its absolute value, so the equation can be rewritten as $39.99 + $10.28.

When these two values are added together, we get a total of $50.27. This means that Julie withdrew $50.27 from her account.

Therefore, the correct answer is A). $50.27.

Answer:

£72

Step-by-step explanation:

Firstly, if half of 96 coins are £1 coins then:

96/2 * 1 = value of half the coins = £48

Now, we simply need to multiply 96/2 by 0.5 to find the value of these coins:

48 * 0.5 = 24

Now we can add the two:

48 + 24 = 72

So the value of the 96 coins are £72.

Answer:

18r

Step-by-step explanation:

Multiply 9 by 2

Answer:

1

Step-by-step explanation:

using the definition of n[tex]C_{r}[/tex]

= [tex]\frac{n!}{r!(n-r)!}[/tex]

where n! = n(n - 1)(n - 2)........ × 3 × 2 × 1

note that 0! = 1

8 [tex]C_{8}[/tex] = [tex]\frac{8!}{8!(0!)}[/tex]= 1 ← cancel 8!

Answer:

Option D 63°

Step-by-step explanation:

Two secants AE and CD intersect each other at point B inside the circle.

So by secants theorem,

[tex]\frac{m(AC)+m(DE)}{2}[/tex] = ∠ABC = ∠DBE

= [tex]\frac{1}{2}[/tex] ( 82 + 44 )

= [tex]\frac{1}{2}[/tex] ( 126)

= 63

Option D 63° is the answer.

Answer:

He could build 30 houses.

Step-by-step explanation:

7 1/2 divided by 1/2 equals 30!

Answer: 30 houses can be built

Step-by-step explanation:

Answer:

n-3

Step-by-step explanation:

Answer:  The required expression is [tex]n-3.[/tex]

Step-by-step explanation:  We are given to write an expression for the following statement :

"n decreased by 3."

We know that

if we are decreasing a units from some quantity b, then we should subtract a from b.

This is written as follows :

[tex]E=b-a.[/tex]

Therefore, for the given expression, we should subtract 3 from n.

This can be written as :

[tex]E=n-3.[/tex]

Thus, the required expression is [tex]n-3.[/tex]

Answer:

F(x)=4-x^2

Step-by-step explanation:

I am assuming that x=3 and y=-5

Put in x =3

F(3)=4-3^2 = 4-9  =-5    Yes

F(3)=3-5   = -2  No

F(3)=-3+2 = -1  No  

F(3)=3+8=11  No

The answer is A. g(x).

Here's why:

f(x) = -x^4 - 2: This function is a downward-facing parabola (due to the negative coefficient of x^4) with a maximum y-value at its vertex. The vertex occurs at x = 0, and the maximum y-value is f(0) = -2.

g(x) = -3x^3 + 2: This function is a cubic function with a local maximum, but it does not have a global maximum. However, its maximum value is still greater than the maximum value of f(x).

Key points:

The maximum y-value of f(x) is limited to -2 because of the negative leading coefficient and the constant term of -2.

g(x) doesn't have a defined maximum y-value, but it can reach values greater than -2, making its maximum value larger than that of f(x).

Therefore, g(x) has the largest maximum y-value among the two functions.

g(-6) This means that x = -6, so you can plug in -6 for "x" in the equation

g(x) = 3x + 5

g(-6) = 3(-6) + 5

g(-6) = -18 + 5

g(-6) = -13

To find g(-6), substitute -6 into the given function and simplify the expression.

To find g(-6), we substitute -6 into the given function, g(x) = 3x+5.

So, g(-6) = 3*(-6) + 5

g(-6) = -18 + 5

g(-6) = -13

Therefore, g(-6) = -13.

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So firstly, we need to find the discounted price. Since this is going to be a decrease by percentage, we will be using this format:

In this case:

[tex]15\% = 0.15\\\\(1-0.15)*83\\0.85*83\\70.55[/tex]

Now that we have the discounted price, we must apply the 4.5% sales tax. Since this is going to be an increase by percentage, we will be using this format:

In this case:

[tex]4.5\%=0.045\\\\(1+0.045)*73.55\\1.045*70.55\\73.72[/tex]

Now we have the discounted price with the sales tax. Now all we have to do is add the shipping fee:

[tex]73.72+6.35=80.07[/tex]

The total price of Enzel's purchase is $80.07.

Answer:

A) $80.07

Step-by-step explanation:

for all the lazy ones who don't want to actually learn :)

ED2020

Answer:

1805.4

Step-by-step explanation:

Answer:

the answer is 1,710 it is adding 30 each time

Step-by-step explanation:

1 month=1,500

2 months=1,530

3 months=1,560

4 months=1,590

5 months=1,620

6 months=1,650

7 months=1,680

8 months=1,710

My guess is the two 12 inch pizza which in a total is 24 I’m not really good at math but I think this is the correct answer

Answer:

Two 12 inch pizzas

Step-by-step explanation:

Multiply12x2= 24 inches compared to 1 20inch pizza

Answer:

Reflection

Step-by-step explanation:

When we reflect a point on the x axis, the y coordinate changes its sign.

For example if a Point P has coordinates (x,y), it will be (x, -y) after reflection on the x axis.

A (-6,2) reflected on the x axis becomes A' (-6, -2)

B (-2,6) reflected on the x axis becomes B' (-2, -6)

C (-4,2) reflected on the x axis becomes C' (-4, -2)

So, the type of transformation that maps ∆ABC onto ∆A′B′C′ is a reflection on the x axis.

Answer:

Reflection

Step-by-step explanation:

When we reflect a point on the x axis, the y coordinate changes its sign.

For example if a Point P has coordinates (x,y), it will be (x, -y) after reflection on the x axis.

A (-6,2) reflected on the x axis becomes A' (-6, -2)

B (-2,6) reflected on the x axis becomes B' (-2, -6)

C (-4,2) reflected on the x axis becomes C' (-4, -2)

So, the type of transformation that maps ∆ABC onto ∆A′B′C′ is a reflection on the x axis.

Step-by-step explanation:

Answer:

3 * 13 is the prime factorization

Step-by-step explanation:

We need to break 39 down into primes

39 = 3 * 13

Both 3 and 13 are primes so we are done

Answer:

3*13

Step-by-step explanation:

the factors of 39 are 3 and 13

Answer:

44 hours

Step-by-step explanation:

Decreasing the people by a factor of 2 means we have 3 people

The job takes 6* 22 = 132 people hours

When we decrease the people, it will take more hours

132 people hours = 3 people * t hours

Divide each side by 3

132/3 = 3t/3

44 = t

It will take 44 hours

Answer:

A. 1

Step-by-step explanation:

4(x - 5) = 3x + 7

4x - 20 = 3x + 7

    + 20 =     + 20

4x = 3x + 27

-3x  -3x

1x = 27

x = 27

The answer is A.1

An equation is formed of two equal expressions. There exists only one solution to the problem which is equal to 27. Thus, the correct option is A.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The solution of the equation can be found as shown below,

4(x-5)=3x+7

4x - 20 = 3x + 7

4x - 3x = 20 + 7

x = 27

Hence, there exists only one solution to the problem which is equal to 27. Thus, the correct option is A.

Learn more about Equation:

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2 tenths is equal to 0.2 in decimal format. This is derived from its fraction format, 2/10, and its place value in the base-ten number system, which is a 'tenths' place.

In mathematics, the value that is equivalent to 2 tenths is 0.2. This is because when we say 'tenths', we are referring to a fractional or decimal value that has a denominator of ten in the context of fractions or one place after the decimal point.

Therefore, 2 tenths is essentially 2 divided by 10 which equals 0.2 in decimal format. We can further illustrate this using a base-ten number system. In this system, each place to the right of the decimal point represents a 'tenths' place value. Therefore, in the number 0.2, the digit '2' is in the 'tenths' place.

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It'a an arithmetic sequence.

[tex]a_1=-1\\a_2=-1+4=3\\a_3=3+4=7\\a_4=7+4=11\\\vdots\\\\\text{The general formula of nth term of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\\text{We have:}\\\\a_1=-1,\ d=4\\\\\text{Substitute:}\\\\a_n=-1+(n-1)(4)=-1+4n-4=4n-5\\\\\text{We want }\ a_{25}.\ \text{Substitute n = 25 to the formula:}\\\\a_{25}=4(25)-5=100-5=95\\\\Answer:\ \boxed{a_{25}=95}[/tex]

To earn the same amount of simple interest as $600 with 2.5% interest over six years ($90), another investment combination that would yield the same interest amount is $1,000 at 3% interest for 3 years.

The student is asking which investment would earn the same amount of simple interest as a principal of $600 with 2.5% interest over 6 years. The formula for calculating simple interest is Interest = Principal  imes Rate  imes Time. For the given principal of $600 with 2.5% interest over 6 years, the interest earned would be:

Interest = $600  imes 0.025  imes 6

Interest = $90

To find another investment with the same interest earned, one must find a principal, rate, and time that satisfy the equation:

Interest Earned = New Principal  imes New Rate  imes New Time = $90

An example would be a principal of $1,000 with 3% interest for 3 years:

Interest Earned = $1,000  imes 0.03  imes 3

Interest Earned = $90

This indicates that both investments would earn the same amount of interest over their respective periods.

Answer:

225 players (including the substitutes)

Step-by-step explanation:

11 regular player and 4 substitutes makes 15 team members per team.

15 players on each team times 15 teams gives you 225 players in total.

The total number of players on 15 soccer teams can be calculated by multiplying the total number of players (including regular and substitute) on one team (16 players) by the number of teams (15), which equals 240 players.

The subject of this question is Mathematics, and it's referencing a concept of multiplication in a real-world context. To determine the total number of players on 15 soccer teams, you consider that each team is composed of 11 regular players and 5 substitutes. So, the total number of players on one team is 16 (11 regular players + 5 substitutes).

To find out the number of players on 15 teams, you multiply the number of players on one team by 15. That is, 16 players * 15 teams = 240 players. So, there are 240 players on 15 soccer teams.

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Answer:

y = -29.5

Step-by-step explanation:

y = 4.7x - 6

x = -5

y = 4.7(-5) - 6

y = -23.5 - 6

y = -29.5

To find the probability that the first grape candy chosen from the bag will be, at least, the third candy chosen overall, you multiply the probability that a candy is not grape (0.74) by itself (since we're considering two independent events, both candies not being grape). The answer is 0.5476.

The subject of this question is probability which is a branch of mathematics. You're looking to find the probability that the first grape candy drawn from a bag of Sandy's Sours will be, at least, the third candy chosen overall.

Given that 26% of the candies are grape, the probability that the first candy drawn is not grape is 1 - 0.26 = 0.74 (or 74%). Since we're looking for the first grape candy to be the third candy drawn or later, we need the first two candies to be not grape.

The probability that the first candy drawn is not grape is 0.74. Because each candy draw is an independent event (the result of one draw does not affect the results of any other draws), the probability that neither the first nor the second candy drawn is grape is 0.74 * 0.74 = 0.5476 (or 54.76%).

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Charlene, Mark, and Paul sold a combined total of 44 magazine subscriptions for their fundraiser.

In this problem, Charlene, Mark, and Paul collectively sold magazine subscriptions. We need to find the total number of subscriptions sold. We can do this using simple addition: Charlene sold 15 subscriptions, Mark sold 17 subscriptions, and Paul sold 12 subscriptions. Therefore, using s to represent total subscriptions, our equation would be: s = 15 (Charlene's sales) + 17 (Mark's sales) + 12 (Paul's sales). Summing the numbers, s = 44. Hence, they sold 44 subscriptions in total.

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Answer:

40 minutes

Step-by-step explanation:

Day 1) Monday --> 10 min.

Day 2) Tuesday --> 15 min.

Day 3) Wednesday --> 20 min.

Day 4 )Thursday --> 25 min.

Day 5) Friday --> 30 min.

Day 6) Saturday --> 35 min.

Day 7) Sunday --> 40 min.

Using the formula for the nth term in an arithmetic sequence, we find that Jasmine will practice for 40 minutes on the 7th day.

The problem can be solved by using arithmetic progression. The first term of this sequence is the amount of time Jasmine spent practicing on Monday, which is 10 minutes. The common difference is the amount of time she adds to her practice every day, which is 5 minutes. To find out how long she will practice on the 7th day, we can use the formula for the nth term in an arithmetic sequence: a + (n-1)d.

Plugging in our values, we find:
10 + (7-1)*5 = 10 + 30 = 40.

So, Jasmine will practice for 40 minutes on the 7th day.

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Answer:

11/4

Step-by-step explanation:

check the picture below.

notice, we can find the area of the pink triangle (garden), since we know its base and height, we can also find the areas of the yellow triangle (lawn), since we also know its base and height.

[tex]\bf \stackrel{\textit{area of the garden}}{\cfrac{1}{2}(40)(70)}\implies 1400~\hfill \stackrel{\textit{area of the lawn}}{\cfrac{1}{2}(100)(70)}\implies 3500 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{\textit{area of the lawn}}{\textit{area of the garden}}\qquad \qquad \cfrac{3500}{1400}\implies \cfrac{5}{2}\implies 2\frac{1}{2}\textit{ times larger}[/tex]

Answer:

2x + 3.3 = 718.7 mph

Step-by-step explanation: